<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <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-16-11787-2016</article-id><title-group><article-title><?xmltex \hack{\vspace{3mm}}?>Trends analysis of PM source contributions and chemical tracers in NE Spain
during 2004–2014: a multi-exponential approach</article-title>
      </title-group><?xmltex \runningtitle{Trends analysis of PM source contributions}?><?xmltex \runningauthor{M. Pandolfi et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Pandolfi</surname><given-names>Marco</given-names></name>
          <email>marco.pandolfi@idaea.csic.es</email>
        </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>Pérez</surname><given-names>Noemi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Reche</surname><given-names>Cristina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Castro</surname><given-names>Iria</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Shatalov</surname><given-names>Victor</given-names></name>
          
        </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, c/Jordi-Girona 18-26, 08034 Barcelona, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Meteorological Synthesizing Centre, East, 2nd Roshchinsky
proezd, 8/5, 115419 Moscow, Russia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Marco Pandolfi (marco.pandolfi@idaea.csic.es)</corresp></author-notes><pub-date><day>22</day><month>September</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>18</issue>
      <fpage>11787</fpage><lpage>11805</lpage>
      <history>
        <date date-type="received"><day>14</day><month>January</month><year>2016</year></date>
           <date date-type="rev-request"><day>29</day><month>March</month><year>2016</year></date>
           <date date-type="rev-recd"><day>1</day><month>September</month><year>2016</year></date>
           <date date-type="accepted"><day>8</day><month>September</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/16/11787/2016/acp-16-11787-2016.html">This article is available from https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016.pdf</self-uri>


      <abstract>
    <p>In this work for the first time data from two twin stations (Barcelona,
urban background, and Montseny, regional background), located in the northeast (NE) of
Spain, were used to study the trends of the concentrations of different
chemical species in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> along with the trends of the
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> source contributions from the positive matrix factorization (PMF)
model. Eleven years of chemical data (2004–2014) were used for this study.
Trends of both species concentrations and source contributions were studied
using the Mann–Kendall test for linear trends and a new approach based on
multi-exponential fit of the data. Despite the fact that different PM
fractions (PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> showed linear decreasing trends at both
stations, the contributions of specific sources of pollutants and of their
chemical tracers showed exponential decreasing trends. The different types
of trends observed reflected the different effectiveness and/or time of
implementation of the measures taken to reduce the concentrations of
atmospheric pollutants. Moreover, the trends of the contributions of
specific sources such as those related with industrial activities and with
primary energy consumption mirrored the effect of the financial crisis in
Spain from 2008. The sources that showed statistically significant downward
trends at both Barcelona (BCN) and Montseny (MSY) during 2004–2014 were
secondary sulfate, secondary nitrate, and V–Ni-bearing source. The contributions from these sources decreased
exponentially during the considered period, indicating that the observed
reductions were not gradual and consistent over time. Conversely, the trends
were less steep at the end of the period compared to the beginning, thus
likely indicating the attainment of a lower limit. Moreover, statistically
significant decreasing trends were observed for the contributions to PM from
the industrial/traffic source at MSY (mixed metallurgy and road
traffic) and from the industrial (metallurgy mainly) source at BCN. These sources were clearly linked with anthropogenic
activities, and the observed decreasing trends confirmed the effectiveness of
pollution control measures implemented at European or regional/local levels.
Conversely, at regional level, the contributions from sources mostly linked
with natural processes, such as aged marine and aged organics, did not show statistically significant trends. The trends observed
for the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> source contributions reflected the trends observed
for the chemical tracers of these pollutant sources well.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Meeting air quality (AQ) standards is one of the major environmental
objectives to protect people from breathing air with high levels of
pollution. Many studies have been published in these last years showing
clearly that the concentrations of particulate matter (PM), and other air
pollutants such as sulfur dioxide (SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and carbon monoxide (CO), have
markedly decreased during the last 15 years in many European countries (EEA,
2013; Barmpadimos et al., 2012; Cusack et al., 2012; Querol et al., 2014;
Guerreiro et al., 2014 among others). Cusack et al. (2012) reported the
reduction in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations observed at regional background (RB)
stations in Spain and across Europe, and, in most cases, the observed
reduction was gradual and consistent over time, implying the success of
cleaner anthropogenic activities. Barmpadimos et al. (2012) have also shown
that PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations decreased at a number of urban background (UB)
and rural background stations in five European countries. Henschel et al. (2013) reported the dramatic decrease in SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels in six European
cities, which reflected the reduction in sulfur content in fuels, as part of
European legislation, coupled with the shift towards the use of cleaner fuels. EEA (2013) also reported general decreases in NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, even if
they were lower compared to PM. However, Henschel et al. (2015) showed that the
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations at traffic sites in many European cities remained
unchanged, underlining the need of further regulative measures to meet the
air quality standards for this pollutant. In fact an important proportion of
the European population lives in areas exceeding the AQ standards for the
annual limit value of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the daily limit value of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>, and the
health protection objective of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (EEA, 2013, 2015). PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are still exceeded mostly in urban areas, and especially at traffic
sites (Harrison et al., 2008; Williams and Carslaw, 2011; EEA, 2013; among
others). In Spain, for example, it has been reported that more than 90 % of
the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> exceedances can be attributed to road traffic emissions (Querol
et al., 2012). Guerreiro et al. (2014) furthermore evidenced the notable
reduction of ambient air concentration of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, and Pb using data
available in Airbase (EEA, 2013), covering 38 European countries. Querol et al. (2014) reported trends for 73 measurement sites across Spain including
regional background (RB), urban background (UB), traffic stations (TS), and industrial sites (IND). They observed
marked downward trends for the concentrations 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>, CO,
and SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at most of the RB, UB, TR, and IND sites considered. Similarly,
Salvador et al. (2012) detected statistically significant downward trends
for the concentrations of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, CO and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> at most of
the urban and urban-background monitoring sites in the Madrid metropolitan
area during 1999–2008. Cusack et al. (2012) and Querol et al. (2014) have
also shown the statistically significant decreasing trends for many trace
elements (Pb, Cu, Zn, Mn, Cd, As, Sn, V, Ni, Cr) at regional level in the northeast
(NE) of Spain since 2002.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Location of the Barcelona (BCN) and Montseny (MSY) measuring
stations. Red full circle highlights the location of the BCN measuring
station before 2009. Green full circle highlights the new location of the
BCN (from 2009) and MSY measuring stations.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f01.pdf"/>

      </fig>

      <p>The observed reduction of air pollutants across Europe is the result of
efficient emission abatement strategies, as for example those implemented in
the Industrial Emission Directive (IPPC – Integrated Pollution Prevention and
Control – and subsequent Industrial Emission Directive 1996/61/EC and
2008/1/EC), the Large Combustion Plant Directive (LCPD; 2001/80/EC), the
EURO standards on road traffic emission (1998/69/EC, 2002/80/EC,
2007/715/EC), and the IMO (International Maritime Organization) directive on
sulfur content in fuel and SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from ships (IMO,
2011; Directive 2005/33/EC). Additionally, the financial crisis, causing
mainly a reduction of the primary energy consumption from 2008 to 2009,
contributed to the decrease of the ambient concentration of pollutants
observed in Spain (Querol et al., 2014).</p>
      <p>Moreover, national and regional measures for AQ have been taken in many
European countries. In Spain a national AQ plan was approved in 2011 and
updated in 2013 by the Council of Ministers of the government of Spain.
Furthermore, 45 regional and 3 local (city-scale) AQ plans have been
implemented since 2004 in Spain. These AQ plans have mostly focused on improving
AQ at major city centers and specific industrial areas.</p>
      <p>Thanks to the aforementioned measures there is clear evidence that the
concentrations of PM in many European countries have markedly decreased
during the last decades. However, in spite of the above policy efforts, a
significant proportion of the urban population in Europe lives in areas
exceeding the World Health Organization (WHO) AQ standards, for example for
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></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>, and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (EEA, 2013, 2015).</p>
      <p>The analysis of the trends of the concentration of air pollutants helps in
evaluating the effectiveness of specific AQ measures depending on the
pollutant considered. Examining data over time also makes it possible to
predict future frequencies and/or rates of occurrence making future
projections. For the abovementioned reasons, the feasibility of studying the trends of the contributions to PM mass from
specific pollutant sources, along with the trends of the chemical tracers of
these sources, is especially attractive.</p>
      <p>To the best of our knowledge, in the majority of studies dealing with trend
analysis, linear fits were applied by using Mann–Kendall (MK) or Theil–Sen methods
(Theil, 1950; Sen, 1968), the latter being available, for example, in the
Openair software (Carslaw, 2012; Carslaw and Ropkins, 2012). However, a
linear fit of data does not always properly represent the observed trends.
As we will show, different abatement strategies and periods of
implementation may change from one pollutant to another, thus leading to
different trends for different pollutants, even over the same period. Thus,
a nonlinear fit of the data may be strongly recommended at times.</p>
      <p>The main aim of this work was to study the trends 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 and of specific chemical species in both PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> using both the consensus methodology (Mann–Kendall) and the
nonlinear approach. The data of Spanish national emissions and energy
consumption were also evaluated to interpret the observed trends.
Understanding past trends may be relevant for devising new strategies for
air pollution abatement. PM chemical speciated data collected from 2004 to
2014 at regional (Montseny, NE Spain) and urban (Barcelona, NE Spain) sites
were used with this aim. The positive matrix factorization (PMF) model was
used to apportion ambient PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> concentrations into pollutant sources.
The PMF model, as other receptor models, is widely used as a
powerful tool to help policymakers to design more targeted approaches to
protecting public health. Thus, the novelty of this study lies mainly (a) in the opportunity to study the trends of pollutant source contributions from
the PMF model at two twin stations representative of the urban and regional
environments in the western Mediterranean, and, (b) in the use of a novel
nonlinear approach for trend studies.</p>
</sec>
<sec id="Ch1.S2">
  <title>Measurement sites and methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Measurement sites</title>
      <p>The Montseny measurement station (MSY, 41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>45.63<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
02<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>21<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>28.92<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E; 720 m a.s.l.) is a regional background site in
the NE of Spain, located in a regional natural park about 50 km to the NNE of the
city of Barcelona (BCN) and 25 km from the Mediterranean coast (Fig. 1).
This site is representative of the typical regional background conditions of
the western Mediterranean Basin (WMB), characterized by severe pollution
episodes affecting not only the coastal sites closest to the emission
sources, but also the more elevated rural and remote areas inland
(i.e., Pérez et al., 2008; Pey et al., 2010; Pandolfi et al., 2011,
2014). This station is part of the ACTRIS (<uri>www.actris.net</uri>) and GAW
(<uri>www.wmo.int/gaw</uri>) networks, of the EMEP Program (<uri>http://www.emep.int/</uri>) and
of the measuring network of the government of Catalonia.</p>
      <p>The Barcelona measurement station (BCN, 41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>23<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>24.01<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
02<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>06<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>58.06<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E; 68 m a.s.l.) is an urban background measurement
site influenced by vehicular emissions from one of the main avenues of the
city (Diagonal Avenue) located at a distance of around 300 m (cf. Fig. 1).
The BCN measurement site is part of the air quality measuring network of the
government of Catalonia. The metropolitan area of Barcelona (BMA), with
nearly 4.5 million inhabitants, covers a strip 8 km wide between the
Mediterranean Sea and the coastal mountain range. Several industrial zones,
power plants, and highways are located in the area, making this region one
of the most polluted in the WMB (i.e., Querol et al., 2008; Amato et al.,
2009; Pandolfi et al., 2012, 2013, 2014). At BCN the location of the
measuring station changed in 2009 when it was moved by around 500 m (cf.
Fig. 1). The effect of this change on PM measurements performed at BCN will
be discussed later.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Real-time and gravimetric PM measurements</title>
      <p>Real-time PM concentrations were continuously measured at 1h resolution by
optical particle counters (OPCs) using GRIMM spectrometers (GRIMM 180 at MSY,
and GRIMM 1107, 1129, and 180 at BCN). Hourly PM concentrations were
corrected by comparison with 24 h gravimetric mass measurements of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
(Alastuey et al., 2011).</p>
      <p>For gravimetric measurements, 24 h PMx samples were collected at both stations
every 3–4 days on 150 mm quartz micro-fiber filters (Pallflex QAT and
Whatman) with high-volume samplers (DIGITEL DH80 and/or MCV
CAV-A/MSb at 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:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The mass of
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> samples collected on filters was determined using
the EN 12341 and the EN14907 gravimetric procedures, respectively.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <title>PM chemical speciated data</title>
      <p>Once the gravimetric mass was determined from filters, the samples were
analyzed with different techniques, including acidic digestion (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>
of each filter; 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>, water extraction of soluble anions
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> of each filter), and thermal-optical analysis (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>
sections). Inductively coupled atomic emission spectrometry, ICP-AES, (IRIS
Advantage TJA Solutions, THERMO) was used for the determination of the major
elements (Al, Ca, Fe, K, Na, Mg, S, Ti, P), and inductively coupled plasma
mass spectrometry, ICP-MS, (X Series II, THERMO) for the trace elements (Li,
Ti, V, Cr, Mn, Co, Ni, Cu, Zn, As, Se, Rb, Sr, Cd, Sn, Sb, Ba, rare earths,
Pb, Bi, Th, U). Ionic chromatography was used for the concentrations of
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>, 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 Cl<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, whereas 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> was
determined using a specific electrode MODEL 710 A<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>, THERMO Orion. The
levels of organic carbon (OC) and elemental carbon (EC) were determined using a thermal-optical carbon analyzer
(SUNSET), using protocol EUSAAR_2 (Cavalli et al., 2010).
Other analytical details may be found in Querol et al. (2008).</p>
      <p>Following the above procedures, a total of 1093 PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and 794 PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
filters were collected and analyzed at MSY during the period 2004–2014. At
BCN the collected filters were 1037 and 1063 in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>,
respectively.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Positive matrix factorization (PMF) model</title>
      <p>The PMF model (PMFv5.0, EPA) was applied to the collected daily PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
speciated data for source identification and apportionment at both sites.
Detailed information about the PMF model can be found in literature (Paatero
and Tapper, 1994; Paatero, 1997; Paatero and Hopke, 2003; Paatero et al., 2005).
The PMF model is a factor analytical tool, reducing the dimension of the
input matrix to a limited number of factors (or sources), and it is based on
the weighted least-squares method. Thus, most important in PMF applications
is the estimation of uncertainties of the chemical species included in the
input matrix. In the present study, individual uncertainties and detection
limits were calculated as in Escrig et al. (2009) and Amato et al. (2009).
Thus, both the analytical uncertainties and the standard deviations of
species concentrations in the blank filters were considered in the
uncertainties calculations. The signal-to-noise ratio (<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>) was estimated
starting from the calculated uncertainties and used as a criterion (<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> &gt; 2) for selecting the species used within the PMF model. In
order to avoid any bias in the PMF results, the data matrix was uncensored
(Paatero, 2004). The PMF was run in robust mode (Paatero, 1997), and
rotational ambiguity was handled by means of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PEAK</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> parameter
(Paatero et al., 2005). The optimal number of sources was selected by
inspecting the variation of the objective function <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> (defined as
the ratio between residuals and errors in each data value) with a varying
number of sources (i.e., Paatero et al., 2002) and by studying the physical
meaningfulness of the calculated factors.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Mann–Kendall (MK) fit</title>
      <p>The purpose of the Mann–Kendall (MK) test (Mann, 1945; Kendall, 1975;
Gilbert,
1987) is to statistically assess whether there is a monotonic upward or downward
trend of the variable of interest with time. A monotonic upward (downward)
trend means that the variable consistently increases (decreases) through
time. The Mann–Kendall test tests the null hypothesis <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of no trend,
i.e., the observations are randomly ordered in time, against the alternative
hypothesis, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, where there is an increasing or decreasing monotonic
trend. The main advantage of the Mann–Kendall test is that data need not
conform to any particular distribution and missing data are allowed. To
estimate the slope of the trend, Sen's method was used (Salmi et al.,
2002).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <title>Multi-exponential (ME) fit</title>
      <p>A program aiming at studying trends by means of multi-exponential fit of the
data was developed within the Task Force on Measurements and
Modelling (TFMM) by the Meteorological Synthesizing Centre – East
(MSC-E; <uri>http://www.msceast.org/</uri>) group (Shatalov et al., 2015). The TFMM
together with the Task Force on Emission Inventories and
Projections (TFEIP), the Task Force on Integrated Assessment
Modelling (TFIAM), and Task Force on Hemispheric Transport of Air
Pollution (TFHTAP) provide fora for discussion and scientific exchange in
support of the EMEP (European Monitoring and Evaluation Programme;
<uri>http://www.emep.int/</uri>) work plan, which is a scientifically based and
policy-driven program under the Convention on Long-range Transboundary
Air Pollution (CLRTAP; <uri>http://www.unece.org/env/lrtap/lrtap_h1.html</uri>) to promote international co-operation and to solve
transboundary air pollution problems. The TFMM was established in 2000 to
evaluate measurements and modeling and to further develop working methods
and tools. In this context, five EMEP centers are undertaking efforts in
support of the EMEP work plan, namely the MSC-E, the Centre
on Emission Inventories and Projections (CEIP; <uri>http://www.ceip.at/</uri>), the
Chemical Coordinating Centre (CCC;
<uri>http://www.nilu.no/projects/ccc/</uri>), the Meteorological Synthesizing
Centre – West (MSC-W; <uri>http://emep.int/mscw/index_mscw.html</uri>), and the Centre for Integrated Assessment Modelling
(CIAM; <uri>http://www.iiasa.ac.at/~rains/ciam.html</uri>). In 2014 the
TFMM initiated an exercise dedicated to assessing the efficiency of CLRTAP air
pollution mitigation strategies over the past 20 years, evaluating the
benefit of its main policy instruments. Within this exercise a piece of software was
made available by EMEP/MSC-E, with the aim of studying nonlinear trends.
Annual, monthly, and daily resolution data can be analyzed with the help of
this program. Since in this paper we will apply the program to annual
averages of species concentrations and source contributions, we restrict the
description of the multi-exponential approximations to this case. In
particular, seasonal variations are not taken into consideration. The
basic equations solved by the program for this particular case (annual
averages) are reported below:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">…</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the values of the considered time series, with
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1, <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">…</mml:mi></mml:math></inline-formula>, N, N being the length of the series
(years), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the characteristic times of the
considered exponential, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are constants, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are
the residue values. In the case of single exponential decay (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1) the
characteristic time <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is the time at which the pollutant
concentration is reduced to 1/e (i.e., 0.3678) times its initial value. The
main difference between linear and exponential fit is that in the latter
case, the trend is not gradual and constant over time. For an exponential
trend the absolute (<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>) reduction per year decreases with
time, being the highest at the beginning of the period. Conversely, for a linear
fit, the absolute reduction is constant over time. For an exponential fit,
the lower the characteristic time <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, the more rapidly the considered
quantity vanishes. Deviations from single exponential fit can be taken into
account introducing more exponential terms. In this work, for example, two
exponential terms were sometimes used. In this case two characteristic times
are calculated by the software. If the decrease of the considered quantity
is very sharp at the beginning of the period (more than single exponential),
then both <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are positive. Conversely, one
exponential term with negative <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> takes possible
increase of the quantity at the end of the period into account. Both <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are calculated by the program by means of the
least-squares method, minimizing the residue <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>, and the
statistically significance of the exponential fit is provided by means of
the <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value. The number of exponential terms that should be included into
the approximation can be evaluated using F-statistics (i.e., Smith, 2002).
For example, the F-statistics for the evaluation of the statistical
significance of the second term in equation (1) for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2 can be
calculated as
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:msub><mml:mtext>SS</mml:mtext><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>SS</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><mml:mi>s</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where SS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and SS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are sums of squares of
residual component for approximations with one and two exponential terms,
respectively, and <inline-formula><mml:math display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the estimate of standard deviation of
residual component. This statistic approximately follows the Fisher
distribution, with 2 and N <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of freedom. The second exponential is
considered to be significant if <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> exceeds the corresponding
threshold value at the chosen significance level.</p>
      <p>The following parameters can be calculated from Eq. (1):

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9}{9}\selectfont$\displaystyle}?><mml:mtext mathvariant="normal">total reduction: TR</mml:mtext><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi>C</mml:mi><mml:mtext>beg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>end</mml:mtext></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>beg</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>end</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>beg</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mtext>annual reduction for year</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>i</mml:mi><mml:mo>:</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mtext>average annual reduction:</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>R</mml:mi><mml:mtext>av</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>end</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>beg</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfrac></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>beg</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>end</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the first and the last
points, respectively, of the exponential fit. The formula for the
calculation of the average annual reduction takes into account that the
ratio <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a multiplicative quantity,
so that geometrical mean of ratios should be used. The relative contribution
of residues (residual component: RC) is calculated as the standard deviation
of the ratios between the residue values of the fit <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cf. Eq. 1) and the main component of the fit.</p>
      <p>The MSC-E also proposed a statistic that measures the deviation of the
obtained trend from the linear one (nonlinearity parameter: NL). A
trend is defined as linear if the NL parameter is lower than 10 %,
indicating a small difference between ME and MK fits (Shatalov et al.,
2015). In the following, the reported trends were analyzed using the MK test
for NL &lt; 10 % and the ME test for NL &gt; 10 %. A more
detailed description of the multi-exponential approach is available in the
TFMM wiki and in the MSC-E technical report 2015 (Shatalov et al., 2015).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Trends of different PM mass fractions from gravimetry (grav) and
optical (OPC) measurements at BCN (italic) and MSY (2004-2014). TR
(%) is the total reduction; RC (%) is the residual component. Significance
of the trends following the Mann–Kendall test: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 
0.001), <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.01), <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:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.05), <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.1).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col4" nameend="col7" align="center">Mann–Kendall fit </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Fraction</oasis:entry>  
         <oasis:entry colname="col2">Conc.  2004</oasis:entry>  
         <oasis:entry colname="col3">Conc.  2014</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col5">Trend</oasis:entry>  
         <oasis:entry colname="col6">TR</oasis:entry>  
         <oasis:entry colname="col7">RC</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col3">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col4"/>  
         <oasis:entry colname="col5">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">( %)</oasis:entry>  
         <oasis:entry colname="col7">( %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> (grav.)</oasis:entry>  
         <oasis:entry colname="col2"><italic>41.1</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>19.2</italic></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>2.83</italic></oasis:entry>  
         <oasis:entry colname="col6"><italic>59.2</italic></oasis:entry>  
         <oasis:entry colname="col7"><italic>8.5</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">19.2</oasis:entry>  
         <oasis:entry colname="col3">13.9</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17</oasis:entry>  
         <oasis:entry colname="col6">10.5</oasis:entry>  
         <oasis:entry colname="col7">17.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (grav.)</oasis:entry>  
         <oasis:entry colname="col2"><italic>31.6</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>13.2</italic></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>2.03</italic></oasis:entry>  
         <oasis:entry colname="col6"><italic>60.1</italic></oasis:entry>  
         <oasis:entry colname="col7"><italic>7.9</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">16.2</oasis:entry>  
         <oasis:entry colname="col3">9.8</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33</oasis:entry>  
         <oasis:entry colname="col6">25.6</oasis:entry>  
         <oasis:entry colname="col7">17.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> (OPC)</oasis:entry>  
         <oasis:entry colname="col2"><italic>39.1</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>19.8</italic></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>2.20</italic></oasis:entry>  
         <oasis:entry colname="col6"><italic>50.4</italic></oasis:entry>  
         <oasis:entry colname="col7"><italic>10.0</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">18.6</oasis:entry>  
         <oasis:entry colname="col3">12.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13</oasis:entry>  
         <oasis:entry colname="col6">7.8</oasis:entry>  
         <oasis:entry colname="col7">16.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (OPC)</oasis:entry>  
         <oasis:entry colname="col2"><italic>27.1</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>12.9</italic></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>1.55</italic></oasis:entry>  
         <oasis:entry colname="col6"><italic>49.6</italic></oasis:entry>  
         <oasis:entry colname="col7"><italic>9.8</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">16.5</oasis:entry>  
         <oasis:entry colname="col3">9.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26</oasis:entry>  
         <oasis:entry colname="col6">21.2</oasis:entry>  
         <oasis:entry colname="col7">17.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>Results are presented and discussed in the following order. In Sect. 3.1,
we compare the trends at both stations of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations from
optical particle counters (OPCs; annual data coverage around 90 %) and from 24 h
gravimetric samples (filters; annual data coverage around 20–30 %). This
comparison will demonstrate the feasibility of studying trends of chemical
species concentrations from filters despite the relatively low annual data
coverage. In Sect. 3.2, we compare the magnitude of the trend of
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations at MSY during 2004–2014 (period selected for this
study) with the magnitude of trends calculated at the same station over
different periods, namely 2002–2010 (the period used in Cusack et al., 2012)
and 2002–2014 (representing the largest period of gravimetric PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
measurements available at MSY station at the time of writing). This
comparison was performed in order to study the differences in the trends
over short periods (9  to 13 years). The gravimetric concentrations of
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> measured at MSY were used with this aim. Then, in Sect. 3.3, we
present and discuss the trends at both stations of chemical species from
filters in both PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>. In Sect. 4.0 we discuss the
sources of pollutants identified by the PMF model in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at both sites.
Finally, we present and discuss the trends 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
at BCN and MSY (Sect. 4.1), providing possible explanations for the
observed trends. Conclusions are reported in Sect. 5.</p>
<sec id="Ch1.S3.SS1">
  <title>Trends of PM: comparison between gravimetric and real-time optical
measurements</title>
      <p>Annual data coverage is an important factor to take into account in order to
study trends of a given parameter. The gravimetric PM measurements, from
which chemical speciated data are obtained, are typically performed with
rather low frequency over 1 year. In our case, the annual data coverage of
gravimetric measurements was around 20–30 % at both Barcelona and
Montseny. In this section, we compare the trends of PM concentrations from
gravimetric and real-time optical measurements (Table 1). Given that the
trends of the considered PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> fractions were linear at both sites
(NL &lt; 10 %), only results from MK test were reported in Table 1.
However, we will show later (Sect. 4.1) that the contributions from
specific PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> pollutant sources, mainly those related with
anthropogenic activities, showed nonlinear (i.e., exponential) decreasing
trends, thus mirroring the different effectiveness of the mitigation
strategies depending on the source of pollutants considered.</p>
      <p>As reported in Table 1, statistically significant decreasing trends were
observed for the considered PM size fractions at BCN (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.20 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001
for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.55 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01 for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> from OPC measurements),
whereas at Montseny, only the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> fraction showed a slightly significant
decreasing trend (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1 from OPC
measurements). Total reduction (TR) ranged between 50.4 % (OPC PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
at BCN) and 7.8 % (OPC PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at MSY), and the residual component (RC) was
lower than 18 %, reflecting the goodness of the linear (MK) fit used. It
must be noted that the higher p-values, magnitude of the trends, and TR
observed at BCN compared to MSY was likely due to the change of the
measuring station in 2009 in BCN (cf. Fig. 1). Based on the comparison
between simultaneous PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemical speciated data collected at both BCN
measurement sites during 1 month (not shown), we concluded that after 2009,
the BCN measuring site was less affected by mineral matter and, to a lesser
extent, by road traffic emissions, both being important sources of PM in
Barcelona. In Fig. 1 we highlight the proximity of the BCN measuring
station before 2009 to an unpaved parking area and different construction works.
The effect of the change of the station in BCN in 2009 on PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
gravimetric measurements is reported in the Supplement (Fig. S1). However, despite the change of the station, the comparison between
BCN and MSY for specific chemical species and pollutant sources not linked
with mineral matter and road traffic emissions was possible.</p>
      <p>Table 1 shows that the p-values calculated using gravimetric and OPC
measurements were the same despite the different annual data coverage. The
differences in the magnitude of the trends were 22 and 24 % between
gravimetric and OPC PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> measurements, respectively, at
BCN and 24 and 21 %, respectively, at MSY. Relative differences of
total reduction (TR) ranged between 24 % for gravimetric and OPC
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> measurements at MSY and 15 % for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at BCN. Thus, despite
the different data coverage, the magnitude of the trends and TR calculated
from OPCs and gravimetric measurements were rather similar. Other PM mass
fractions (PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mn>2.5</mml:mn><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and PM ratios (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>
and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</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:mrow><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at MSY showed nonstatistically significant
trends.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Mann–Kendall and multi-exponential trends of different chemical
species in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at BCN (italic) and MSY. Type of trend: linear
(L), single exponential (SE), double exponential (DE); <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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 <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (yr) are the constants and the characteristic times,
respectively, of the exponential data fittings; NL (%) is the nonlinearity;
TR (%) is the total reduction; RC (%) is the residual component; ns denotes not
statistically significant; ni denotes not included. Significance of the trends:
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.001), <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.01), <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:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.05), <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.1).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.94}[.94]?><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>  (BCN; MSY) </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Mann–</oasis:entry>  
         <oasis:entry namest="col8" nameend="col10" align="center" colsep="1">Multi-exponential fit </oasis:entry>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Kendall fit</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Specie</oasis:entry>  
         <oasis:entry colname="col2">Concentration</oasis:entry>  
         <oasis:entry colname="col3">Concentration</oasis:entry>  
         <oasis:entry colname="col4">Fit</oasis:entry>  
         <oasis:entry colname="col5">NL</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col7">Trend</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">Trend</oasis:entry>  
         <oasis:entry colname="col11">TR</oasis:entry>  
         <oasis:entry colname="col12">RC</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2004 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col3">2014 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col4">type</oasis:entry>  
         <oasis:entry colname="col5">( %)</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col8">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col9">(yr)</oasis:entry>  
         <oasis:entry colname="col10">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col11">( %)</oasis:entry>  
         <oasis:entry colname="col12">( %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pb</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.02685</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00694</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>27</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.03246</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>6.12</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00222</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>80</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>17</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00481</oasis:entry>  
         <oasis:entry colname="col3">0.00190</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">11</oasis:entry>  
         <oasis:entry colname="col6">**</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00553</oasis:entry>  
         <oasis:entry colname="col9">10.22</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00031</oasis:entry>  
         <oasis:entry colname="col11">62</oasis:entry>  
         <oasis:entry colname="col12">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cd</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00043</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00015</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>19</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00048</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>7.59</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>3.10E-5</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>73</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>17</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00017</oasis:entry>  
         <oasis:entry colname="col3">0.00006</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">18</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00018</oasis:entry>  
         <oasis:entry colname="col9">7.92</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.12E-5</oasis:entry>  
         <oasis:entry colname="col11">72</oasis:entry>  
         <oasis:entry colname="col12">16</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">As</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00094</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00036</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>14</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00118</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.11</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>7.07E-5</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>67</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>11</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00029</oasis:entry>  
         <oasis:entry colname="col3">0.00017</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.29E-5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">50</oasis:entry>  
         <oasis:entry colname="col12">9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">V</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.01116</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00454</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>12</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.01502</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>10.04</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00086</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>63</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>17</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00328</oasis:entry>  
         <oasis:entry colname="col3">0.00175</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00022</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">59</oasis:entry>  
         <oasis:entry colname="col12">15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ni</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00531</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00284</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>11</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00678</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>10.61</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00037</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>61</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>16</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00155</oasis:entry>  
         <oasis:entry colname="col3">0.00100</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.10E-5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">43</oasis:entry>  
         <oasis:entry colname="col12">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sn</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00127</oasis:entry>  
         <oasis:entry colname="col3">0.00057</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.65E-5</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">39</oasis:entry>  
         <oasis:entry colname="col12">16</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cu</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00420</oasis:entry>  
         <oasis:entry colname="col3">0.00216</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00014</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">36</oasis:entry>  
         <oasis:entry colname="col12">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sb</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00058</oasis:entry>  
         <oasis:entry colname="col3">0.00025</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">11</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00064</oasis:entry>  
         <oasis:entry colname="col9">10.46</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.57E-5</oasis:entry>  
         <oasis:entry colname="col11">62</oasis:entry>  
         <oasis:entry colname="col12">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>5.74436</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>2.28596</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>12</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>6.56033</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.81</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.37868</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>64</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>12</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2.84849</oasis:entry>  
         <oasis:entry colname="col3">1.67712</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11836</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">42</oasis:entry>  
         <oasis:entry colname="col12">18</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>5.07816</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>1.72401</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>12</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>6.49890</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.83</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.37484</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>64</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>15</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1.80724</oasis:entry>  
         <oasis:entry colname="col3">0.67419</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10593</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">54</oasis:entry>  
         <oasis:entry colname="col12">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>1.92062</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.57008</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>12</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>1.90645</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.64</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.11095</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>65</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>14</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1.14268</oasis:entry>  
         <oasis:entry colname="col3">0.40135</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1.28868</oasis:entry>  
         <oasis:entry colname="col9">9.26</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07640</oasis:entry>  
         <oasis:entry colname="col11">66</oasis:entry>  
         <oasis:entry colname="col12">22</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.72357</oasis:entry>  
         <oasis:entry colname="col3">0.46382</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02383</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">34</oasis:entry>  
         <oasis:entry colname="col12">18</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ca</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.42703</oasis:entry>  
         <oasis:entry colname="col3">0.28279</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01638</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">38</oasis:entry>  
         <oasis:entry colname="col12">17</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fe</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.22371</oasis:entry>  
         <oasis:entry colname="col3">0.14895</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00593</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">6</oasis:entry>  
         <oasis:entry colname="col12">44</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Na</oasis:entry>  
         <oasis:entry colname="col2"><italic>1.02188</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.77408</italic></oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; <italic>10</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.03943</italic></oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"><italic>34</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>12</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">ns</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Mann–Kendall fit of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> trends at MSY station for the
periods 2002–2010 (as in Cusack et al., 2012), 2004–2014 (this work), and
2002–2014 (largest period available in the time of writing). The magnitude
of the trends (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value, total reduction
(TR), and residual component (RC) are reported. Significance of the trends following the
Mann–Kendall test: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.001), <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.01), <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:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.05), <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.1).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f02.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Trends of PM: comparison among different periods</title>
      <p>In this study we used the period 2004–2014 for trends analysis, given that
gravimetric PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> measurements at BCN have been available since 2004.
Conversely, at MSY PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, gravimetric measurements started in 2002.
Figure 2 shows the trends of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations at MSY, calculated
using the MK test for the three different periods. The ME test was not used here
given that the observed trends were linear (NL &lt; 10 %). The period
2002–2010 was the period considered in the paper from Cusack et al. (2012)
presenting the trends of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> gravimetric mass and chemical species at
MSY. The period 2002–2014 is the largest period, with PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> filter
measurements available at the time of writing. The trend observed at MSY for
the PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> fraction during 2004–2014 confirmed what was already observed by
Cusack et al. (2012) at the same station for the period 2002–2010. In
Cusack et al. (2012), the MK test provided a decreasing trend of around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.66 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 0.01
significance level (TR of 35 %). During the
periods 2004–2014 and 2002–2014, decreasing trends of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1; TR of 26 %) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05; TR of 31 %), respectively, were observed. Thus, a
statistically significant trend for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass at regional level can be
observed, even when considering different periods, thus confirming the
effectiveness of mitigation measures together with the effect of the
economic crisis in Spain from 2008. However, it should be noted that the
statistical significance of the trends observed for the larger periods was
lower compared to Cusack et al. (2012). The difference observed in the
magnitude of the trends during 2004–2014 compared to the results provided by
Cusack et al. (2012) was mainly due to the increase of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration in 2012 (cf. Fig. 2). Chemical PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> speciated data
revealed that this increase was partly driven by organic matter showing a
mean annual concentration in 2012 higher by around 20 % compared to the
2004–2014 average.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Trends of chemical species</title>
      <p>The trends of the annual mean concentrations of chemical species at BCN and
MSY are reported in Table 2 (for PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and Table 3 (for PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
Figure 3 (for BCN) and Fig. 4 (for MSY) show the trends of chemical
species in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>. In Tables 2 and 3 and Figs. 3 and 4, only the species
that have statistically significant trends were reported.</p>
      <p>As already noted we assume that the change of the station in BCN in 2009
affected the trends of the concentrations of OC, EC, Cu, Sn, Sb, and Zn
(mainly traffic tracers), 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, Mg, Ti, Rb, Sr (crustal
elements related with both natural and anthropogenic sources), and Fe
(traffic and crustal tracer). These chemical species at BCN were removed
from Tables 2 and 3 and from Fig. 3.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Mann–Kendall and multi-exponential trends of different chemical
species in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> at BCN (italic) and MSY. Type of trend: linear
(L), single exponential (SE), double exponential (DE); <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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 <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (yr) are the constants and the characteristic times,
respectively, of the exponential data fittings; NL (%) is the nonlinearity;
TR (%) is the total reduction; RC (%) is the residual component; ns denotes not
statistically significant; ni denotes not included. Significance of the trends:
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.001), <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.01), <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:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.05), <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.1).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (<italic>BCN</italic>;MSY) </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Mann–Kendall fit</oasis:entry>  
         <oasis:entry namest="col8" nameend="col10" align="center" colsep="1">Multi-exponential fit </oasis:entry>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Specie</oasis:entry>  
         <oasis:entry colname="col2">Concentration</oasis:entry>  
         <oasis:entry colname="col3">Concentration</oasis:entry>  
         <oasis:entry colname="col4">Fit</oasis:entry>  
         <oasis:entry colname="col5">NL</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col7">Trend</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">Trend</oasis:entry>  
         <oasis:entry colname="col11">TR</oasis:entry>  
         <oasis:entry colname="col12">RC</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2004 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col3">2014 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col4">type</oasis:entry>  
         <oasis:entry colname="col5">( %)</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col8">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col9">(yr)</oasis:entry>  
         <oasis:entry colname="col10">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col11">(%)</oasis:entry>  
         <oasis:entry colname="col12">(%)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pb</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.02117</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00500</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>27</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.02390</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>6.24</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00163</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>80</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>13</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00642</oasis:entry>  
         <oasis:entry colname="col3">0.00149</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">28</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00716</oasis:entry>  
         <oasis:entry colname="col9">6.08</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00049</oasis:entry>  
         <oasis:entry colname="col11">81</oasis:entry>  
         <oasis:entry colname="col12">18</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cd</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00041</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00011</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>23</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00047</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>6.81</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>3.11E-5</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>77</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>13</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00020</oasis:entry>  
         <oasis:entry colname="col3">0.00005</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">23</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00020</oasis:entry>  
         <oasis:entry colname="col9">6.77</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.35E-5</oasis:entry>  
         <oasis:entry colname="col11">77</oasis:entry>  
         <oasis:entry colname="col12">18</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">As</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00069</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00027</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>14</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00091</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.00</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>5.43E-5</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>67</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>11</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00029</oasis:entry>  
         <oasis:entry colname="col3">0.00013</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">15</oasis:entry>  
         <oasis:entry colname="col6">**</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00033</oasis:entry>  
         <oasis:entry colname="col9">8.56</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.04E-5</oasis:entry>  
         <oasis:entry colname="col11">69</oasis:entry>  
         <oasis:entry colname="col12">19</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">V</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00823</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00368</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>11</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.01121</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>11.13</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00061</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>59</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>16</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00271</oasis:entry>  
         <oasis:entry colname="col3">0.00130</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00017</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">64</oasis:entry>  
         <oasis:entry colname="col12">24</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ni</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.00402</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.00185</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>10</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>0.00498</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>11.23</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.00027</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>59</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>15</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00189</oasis:entry>  
         <oasis:entry colname="col3">0.00080</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00205</oasis:entry>  
         <oasis:entry colname="col9">9.36</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00012</oasis:entry>  
         <oasis:entry colname="col11">42</oasis:entry>  
         <oasis:entry colname="col12">21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sn</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00157</oasis:entry>  
         <oasis:entry colname="col3">0.00043</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00084</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">61</oasis:entry>  
         <oasis:entry colname="col12">12</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cu</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00394</oasis:entry>  
         <oasis:entry colname="col3">0.00113</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">14</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00426</oasis:entry>  
         <oasis:entry colname="col9">8.99</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00026</oasis:entry>  
         <oasis:entry colname="col11">67</oasis:entry>  
         <oasis:entry colname="col12">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sb</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.00053</oasis:entry>  
         <oasis:entry colname="col3">0.00015</oasis:entry>  
         <oasis:entry colname="col4">DE</oasis:entry>  
         <oasis:entry colname="col5">48</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.00069</oasis:entry>  
         <oasis:entry colname="col9">4.52</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.86E-5</oasis:entry>  
         <oasis:entry colname="col11">70</oasis:entry>  
         <oasis:entry colname="col12">16</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1.3E-6</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.50</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>4.86564</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>1.92388</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>12</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>5.64582</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.69</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.32778</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>64</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>9</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2.98922</oasis:entry>  
         <oasis:entry colname="col3">1.43381</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16222</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">54</oasis:entry>  
         <oasis:entry colname="col12">15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>3.45513</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.86002</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>19</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>4.14459</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>7.61</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.26753</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>73</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>16</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1.66095</oasis:entry>  
         <oasis:entry colname="col3">0.29452</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">30</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1.96014</oasis:entry>  
         <oasis:entry colname="col9">5.81</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13550</oasis:entry>  
         <oasis:entry colname="col11">82</oasis:entry>  
         <oasis:entry colname="col12">21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2"><italic>2.19735</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.68393</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>11</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>2.27813</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>10.53</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.12701</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>61</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>15</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1.39366</oasis:entry>  
         <oasis:entry colname="col3">0.48049</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">18</oasis:entry>  
         <oasis:entry colname="col6">**</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1.62588</oasis:entry>  
         <oasis:entry colname="col9">7.94</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10266</oasis:entry>  
         <oasis:entry colname="col11">72</oasis:entry>  
         <oasis:entry colname="col12">14</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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></oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.30245</oasis:entry>  
         <oasis:entry colname="col3">0.10153</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">13</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.26678</oasis:entry>  
         <oasis:entry colname="col9">9.36</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01574</oasis:entry>  
         <oasis:entry colname="col11">66</oasis:entry>  
         <oasis:entry colname="col12">35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ca</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.11478</oasis:entry>  
         <oasis:entry colname="col3">0.06540</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00494</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">50</oasis:entry>  
         <oasis:entry colname="col12">33</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fe</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.09679</oasis:entry>  
         <oasis:entry colname="col3">0.03716</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00504</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">61</oasis:entry>  
         <oasis:entry colname="col12">31</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Na</oasis:entry>  
         <oasis:entry colname="col2"><italic>0.27476</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.17863</italic></oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.01247</italic></oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"><italic>41</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>15</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.13091</oasis:entry>  
         <oasis:entry colname="col3">0.07252</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">&lt; 10</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00584</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">45</oasis:entry>  
         <oasis:entry colname="col12">18</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>Other species measured in BCN were not affected by the change of the
station. These are 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>, 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>, V, Ni (related with
heavy oil combustion in the study area according to source apportionment
results, cf. Par. 4), Pb, Cd, and As (related with industrial/metallurgy
activities), Na and Cl (sea spray), and 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>. Although nitrate
particles in Barcelona were mainly from traffic, the concentrations of these
particles were not strongly affected by the change of the station due to
their secondary origin. The MSY station will be considered as reference
station given that no location change occurred at this monitoring site
during the study period.</p>
      <p>Statistically significant exponential trends (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01 or 0.001)
were mainly observed for the industrial tracers (Pb, Cd, As) in both
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>. For these elements TR was high and around
50–80 % in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and 67–81 % in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>. The RCs were lower than
20 %, thus suggesting the goodness of the exponential fits used to study
the trends of these species. Exponential fits were needed on average,
indicating that the trends were not gradual and consistent over time and
that the effectiveness of the control measures for these pollutants was
stronger at the beginning of the period under study (2004–2009
approximately) compared to the end of the period (Figs. 3 and 4). This is
also evident by comparing the linear MK fit (dashed black line) with the ME
fit (red line) in Figs. 3 and 4. In PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> the magnitudes of the trends
ranged from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00222 (Pb; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) to
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Cd; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) at BCN and from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00031
(Pb; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.12 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Cd;
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) at MSY. In PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> the magnitudes of the trends were
similar and ranged between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00163 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Pb; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 
0.001) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.11 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Cd; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) at BCN and
between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00049 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Pb; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.35 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(Cd; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) at MSY. Similar magnitude of the trends
for these species in both PM fractions at both sites confirmed the common
origin of these elements and the impact at regional scale of industrial
sources. For Pb and Cd, the characteristic time (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the exponential
trends was similar at both sites, whereas for As it was higher due to the
slightly less intense exponential downward trend observed for As compared to
Cd and Pb. Note that the PMF analysis (cf. Sect. 4) revealed that the
concentrations of As were explained by multiple sources (especially at BCN),
whereas the industrial/metallurgy source alone explained more than
around 70 % of Pb and Cd concentrations (not shown). The implementation of
the IPPC Directive in 2008 in Spain is the most probable cause for this
downward trend. The decrease observed for Pb, Cd, and As may also be
attributed to a decrease in the emissions from industrial production
(smelters; Querol et al., 2007) at a regional scale around Barcelona.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Mann–Kendall (MK) and multi-exponential (ME) trends for chemical
species at BCN in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>. Measured concentration (green line);
multi-exponential trend (red line); multi-exponential residuals (blue line);
Mann–Kendall trend (black line); Mann–Kendall residuals (gray line). Trend
type: linear (L), single exponential (SE), double exponential (DE).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f03.pdf"/>

        </fig>

      <p>The concentrations of V and Ni in Barcelona in both PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
fractions showed very similar exponential decreasing trends. Similar
characteristic times (around 10–11 years), TR (around 59–63 %), and RC
(15–17 %) in both fractions suggested the common and mainly fine origin of
these two elements. At MSY, V and Ni showed linear trends likely because of
the higher distance of the MSY station to the sources of V and Ni (shipping
and, before 2008, energy production) compared to BCN. Note also that the NL
parameter for BCN V and Ni was around 10–12 %, indicating that in this
case the exponential fit did not differ very much from the linear one. Total
reduction for V and Ni at MSY was around 59–64 and 42–43 %,
respectively, and RCs were lower than 24 %.</p>
      <p>Sn and Cu in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at MSY showed very similar behavior by decreasing
linearly with time, with TR around 36–39 % and RC around 16–20 %.
Decreasing rates of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.65 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05) and
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00014 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05) were observed in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> for
Sn and Cu, respectively. In PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, the concentrations of Sn and Cu
decreased markedly compared to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at the rate of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00084 (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) and
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.00026 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01), respectively. This difference could be explained by possible sources
of coarser Sn and Cu, which reduced the magnitude of the trends in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>
mass fraction. Sb showed marked decreasing trends in both PM mass fractions
compared to Sn and Cu, with TR around 62–70 %. The magnitude of the trend
for Sb was similar in both fractions and around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.57 <inline-formula><mml:math display="inline"><mml:mo>÷</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.86 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn> 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
The concentrations of Sb were better fitted with exponential
curves (SE with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01 in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and DE with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01 in
PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The DE fit for Sb in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> had one positive and one
negative characteristic time; the latter was needed to explain the slight
increase in Sb concentrations at the end of the considered period. The
marked decreasing trend observed for Sb compared to other traffic tracers
could be explained by a progressive reduction of Sb contained in the vehicle
brakes. Cr did not show a statistically significant trend in both PM
fractions.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><caption><p>Mann–Kendall (MK) and multi-exponential (ME) trends for chemical
species at MSY in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>. Measured concentration (green line);
multi-exponential trend (red line); multi-exponential residuals (blue line);
Mann–Kendall trend (black line); Mann–Kendall residuals (gray line). Trend
type: linear (L), single exponential (SE), double exponential (DE).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f04.pdf"/>

        </fig>

      <p>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:mo>)</mml:mo></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> particles'
concentrations showed very similar behavior in 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>10</mml:mn></mml:msub></mml:math></inline-formula> size
fractions due to their fine nature. In BCN, the magnitudes of the trends were
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37868 (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11095 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) for 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>,
respectively, in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.32778 (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.12701 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001), respectively, in
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>. The trends were SE with very similar characteristic times
(9.64–9.81 years in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and 9.69–10.53 years in PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, TR (64–65 %
in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and 61–64 % in PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and RC (12–14 % in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and
9–15 % in PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. At MSY, the magnitudes of the trends 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 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> and their statistical significance
were lower compared to BCN in both fractions. Moreover, at MSY, the trends
were linear for 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> in both fractions (as for V and Ni). These
differences could be explained by the distance of MSY to direct specific
sources of sulfate, such as shipping, compared to BCN, thus slightly
reducing the magnitude and the statistical significance of the trend 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> at regional level. It is also interesting to note the
similitude between the characteristic times of the exponential fits for V
and Ni 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> in both PM fractions at BCN, suggesting the main
common origin of these chemical species. Possible reasons for the observed
reduction in the concentrations of ambient sulfate in and around Barcelona
will be discussed later.</p>
      <p>Fine 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> (Table 3) showed statistically significant SE trends
similar at both sites with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001, TR around 73–82 %, RC around
16–21 %, and characteristic times around 5.8–7.6 years. In PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> the
TRs were lower and around 54–64 % and the fits were linear at MSY and SE at
BCN. The SE fit in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at BCN provided a characteristic time around
9.8 years, which was higher compared to the <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> obtained for the fine mode
(7.6 years), thus indicating that fine 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> had a more pronounced
downward trend compared to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></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>.</p>
      <p>For the mineral species (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) linear (with the exception
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> in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> which was SE) and statistically significant
decreasing trends were detected at MSY. On average the TR was higher in the
fine fraction, ranging from 50 for Ca to 66 % for 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>,
compared to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> (6–38 % cf. Table 2). A downward decreasing trend for
crustal material in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> at MSY was also reported by Cusack et al. (2012) for the period 2002–2010 and by Querol et al. (2014) for the
period 2001–2012. These trends were probably driven by weather conditions
associated with negative North Atlantic Oscillation (NAO) index (iNAO) that could be the cause for this
slight reduction observed in crustal material. Pey et al. (2013) found a
correlation between iNAO (calculated between June and September) and the
contribution of Saharan dust to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass in the NE of Spain, and showed
that the more negative the iNAO is, the lower the dust contribution to PM.
The iNAO was unusually negative during the period 2008–2012
(<uri>http://www.cpc.ncep.noaa.gov/products/precip/CWlink/pna/norm.nao.monthly.b5001.current.ascii</uri>),
thus likely contributing to the explanation of the observed trends of crustal elements.
Moreover, negative NAO can favor the presence of fronts that can sweep the
Iberian Peninsula from west to east, causing stronger winds and less stagnant
conditions, thus favoring the dispersion of pollutants. In addition, as
suggested by Cusack et al. (2012), it could also be hypothesized that some
part of the crustal material measured at MSY is a product of the
construction industry. The construction industry in Spain has been
especially affected by the current economic recession, and crustal material
produced by this industry may have contributed to the crustal load in
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>. For example the number of home construction works in Barcelona
during 2008–2014 (from the beginning of the economic crisis; mean number
of works of 1281) reduced by around 75 % compared to the period
2000–2007 (mean number of works of 5187; <uri>http://www.bcn.cat/estadistica/castella/dades/timm/construccio/index.htm</uri>).
The fact that the total reduction calculated for mineral elements reported
in Tables 2 and 3 was higher in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> compared to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> could
corroborate the hypothesis of an anthropogenic contribution to the mineral
matter measured at MSY.</p>
      <p>Finally, Na concentrations showed linear decreasing trends at both sites,
with the exception of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> Na at MSY. Other species at MSY such as OC
and EC did not show statistically significant trends. Consider that the
concentrations of EC at MSY are very low and around an annual mean of 0.2–0.3 <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>. Both anthropogenic activity and biomass burning
were expected to contribute to this chemical species. Concerning OC, the lack
of trend was probably due to the contribution from biogenic sources to the
concentration of this species at regional level.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Source contributions from PMF model in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at Montseny (MSY)
and Barcelona (BCN). Mean values during 2004–2014. Values reported are sources 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 %.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f05.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>PMF source profiles and contributions</title>
      <p>Eight and seven sources were detected at BCN and MSY, respectively, in
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> from PMF model. The absolute and relative contributions of these
sources to the measured PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass were reported in Fig. 5, whereas the
chemical profiles of the detected sources were reported in the Supplement (Fig. S2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Mann–Kendall and multi-exponential trends of source contributions
in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> from PMF at BCN (italic) and MSY. Type: linear (L),
single exponential (SE), double exponential (DE); <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (yr) are the constants and the characteristic times, respectively,
of the exponential data fittings; NL (%) is the nonlinearity; TR (%) is
the total reduction; RC (%) is the residual component; ni denotes not included.
Significance of the trends following the Mann–Kendall test: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.001), <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.01),
<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:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.05),
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value &lt; 0.1).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.80}[.80]?><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>  (BCN; MSY) </oasis:entry>  
         <oasis:entry rowsep="1" colname="col4"/>  
         <oasis:entry rowsep="1" colname="col5"/>  
         <oasis:entry rowsep="1" colname="col6"/>  
         <oasis:entry rowsep="1" colname="col7">Mann–Kendall fit</oasis:entry>  
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center" colsep="1">Multi-exponential fit </oasis:entry>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Source</oasis:entry>  
         <oasis:entry colname="col2">Contribution</oasis:entry>  
         <oasis:entry colname="col3">Contribution</oasis:entry>  
         <oasis:entry colname="col4">Fit</oasis:entry>  
         <oasis:entry colname="col5">NL</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col7">Trend</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">Trend</oasis:entry>  
         <oasis:entry colname="col11">TR</oasis:entry>  
         <oasis:entry colname="col12">RC</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2004 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col3">2014 (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col4">type</oasis:entry>  
         <oasis:entry colname="col5">( %)</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col8">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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="col9">(yr)</oasis:entry>  
         <oasis:entry colname="col10">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>gm<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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col11">( %)</oasis:entry>  
         <oasis:entry colname="col12">( %)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Secondary sulfate</oasis:entry>  
         <oasis:entry colname="col2"><italic>10.27</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>3.38</italic></oasis:entry>  
         <oasis:entry colname="col4">DE</oasis:entry>  
         <oasis:entry colname="col5"><italic>45</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>12.33</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>1.65</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.71</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>67</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>16</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>3.82</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>105.80</italic></oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">6.57</oasis:entry>  
         <oasis:entry colname="col3">3.07</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">12</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">5.99</oasis:entry>  
         <oasis:entry colname="col9">13.22</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.32</oasis:entry>  
         <oasis:entry colname="col11">53</oasis:entry>  
         <oasis:entry colname="col12">21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Secondary nitrate</oasis:entry>  
         <oasis:entry colname="col2"><italic>6.99</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>1.96</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>14</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>8.54</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>8.96</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.51</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>67</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>13</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2.03</oasis:entry>  
         <oasis:entry colname="col3">0.47</oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5">15</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">2.44</oasis:entry>  
         <oasis:entry colname="col9">8.59</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>  
         <oasis:entry colname="col11">69</oasis:entry>  
         <oasis:entry colname="col12">17</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">V–Ni-bearing</oasis:entry>  
         <oasis:entry colname="col2"><italic>4.23</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>1.84</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>11</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>5.66</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>10.59</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.32</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>61</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>19</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">0.79</oasis:entry>  
         <oasis:entry colname="col3">0.44</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">64</oasis:entry>  
         <oasis:entry colname="col12">25</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Industrial/metallurgy (BCN)</oasis:entry>  
         <oasis:entry colname="col2"><italic>1.64</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>0.71</italic></oasis:entry>  
         <oasis:entry colname="col4">SE</oasis:entry>  
         <oasis:entry colname="col5"><italic>21</italic></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><italic>1.76</italic></oasis:entry>  
         <oasis:entry colname="col9"><italic>9.56</italic></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>0.10</italic></oasis:entry>  
         <oasis:entry colname="col11"><italic>65</italic></oasis:entry>  
         <oasis:entry colname="col12"><italic>16</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral</oasis:entry>  
         <oasis:entry colname="col2">ni</oasis:entry>  
         <oasis:entry colname="col3">ni</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">3.46</oasis:entry>  
         <oasis:entry colname="col3">2.32</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">5</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">30</oasis:entry>  
         <oasis:entry colname="col12">21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Industrial/traffic (MSY)</oasis:entry>  
         <oasis:entry colname="col2">2.08</oasis:entry>  
         <oasis:entry colname="col3">1.01</oasis:entry>  
         <oasis:entry colname="col4">L</oasis:entry>  
         <oasis:entry colname="col5">7</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">56</oasis:entry>  
         <oasis:entry colname="col12">13</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>Some sources were common at both BCN and MSY. These are secondary
sulfate (secondary inorganic source traced 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> and contributing 3.95 (23.7 %) and 4.67 <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> (13.7 %) at
MSY and BCN, respectively), secondary nitrate (secondary inorganic source 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> 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> and contributing 1.31(7.9 %) and 4.45 <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> (13.1 %) at MSY and BCN, respectively),
V–Ni-bearing
source (traced mainly by V, Ni, 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>, it represents the direct
emissions from heavy oil combustion and contributed 0.71
(4.3 %) and 3.32 <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> (9.8 %) at MSY and BCN, respectively),
mineral (traced by typical crustal elements such as Al, Ca, Ti, Rb,
and Sr and contributing 2.70 (16.2 %) and 4.61 <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>
(13.6 %) at MSY and BCN, respectively), and aged marine
(traced by Na and Cl mainly with contributions from 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
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 contributing 1.76 (10.6 %) and 5.73 <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> (16.9 %) at
MSY and BCN, respectively). Sources detected
at MSY but not at BCN were the industrial/traffic source (traced by
EC, OC, Cr, Cu, Zn, As, Cd, Sn, Sb, and Pb), which included contributions from
anthropogenic sources such as road traffic and metallurgic industries and
contributed 1.43 <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> (8.6 %), and aged
organics (traced mainly by OC and EC), with maxima in summer
indicating mainly a biogenic origin and contributing 3.78 <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>
(22.7 %). The ratio OC : EC in the industrial/traffic and
aged organic source profiles at MSY were 4.2 and 11.7,
respectively, thus indicating a strong influence of aged particles in the
latter source, with the former source being more fresh. The statistic of the
OC : EC ratio based on chemical data at MSY is reported in the Supplement (Fig. S3). Mean and median values of OC : EC ratio at MSY were
9.1 and 7.8, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Mann–Kendall and multi-exponential trends for source contributions
in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at BCN. Measured concentration (green line); multi-exponential
trend (red line); multi-exponential residuals (blue line); Mann–Kendall
trend (black line); Mann–Kendall residuals (gray line). Trend type: linear
(L), single exponential (SE), double exponential (DE). The source contributions at BCN from mineral,
traffic, and road/work resuspension were excluded from the trend discussion.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f06.pdf"/>

      </fig>

      <p>Finally, some sources were detected at BCN but not at MSY: traffic
(traced mainly by C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>nm</mml:mtext></mml:msub></mml:math></inline-formula>, Cr, Cu, Sb and Fe) contributing 5.14 <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>
(15.1 %), road/work resuspension (traced by both
crustal elements, mainly Ca, and traffic tracers such as Sb, Cu, and Sn)
contributing 4.25 <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> (12.5 %), and
industrial/metallurgy (traced by Pb, Cd, As, and Zn) contributing
0.96 <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> (2.8 %).</p>
      <p>A sensitivity study was performed in order to better interpret the PMF
sources at BCN. In fact, for the period 2007–2014, separate OC and EC
measurements were available, and PMF was performed over this period. The
comparison between the PMF source contributions obtained using the period
2007–2014 (separate OC and EC measurements) and the whole period (2004–2014;
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>nm</mml:mtext></mml:msub></mml:math></inline-formula> (non-mineral carbon) available) is reported in the Supplement (Fig. S4). As reported in Fig. SI-4, the relative
differences in source contributions ranged from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 % (Mineral
source) to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 % (industrial source), and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> ranged from
0.894 to 0.997, thus confirming the correct interpretation of the 2004–2014
PMF sources where C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>nm</mml:mtext></mml:msub></mml:math></inline-formula> was used. The OC : EC ratio in the traffic
source from 2007 to 2014 PMF was 1.70 (cf. Fig. S5), whereas the mean and
median OC : EC ratios from chemistry data were 2.5 and 2.3, respectively, thus
being in agreement with the contribution of fresh particles from
the traffic source at BCN.</p>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{Trends of annual PM${}_{{10}}$ source contributions}?><title>Trends of annual PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> source contributions</title>
      <p>Figures 6 and 7 and Table 4 show the results from MK or ME tests applied to
the annual averages 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 at BCN and MSY. As
already noted we cannot study trends for traffic, road/work
resuspension, and mineral source contributions at BCN because of
the change of the station location in 2009. The contributions that showed
statistically significant downward trends at both stations were from
secondary sulfate, secondary nitrate, and V–Ni-bearing sources (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001 or <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01). Moreover,
statistically significant decreasing trends were observed for the
industrial/traffic (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) and mineral
(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1) source contributions at MSY and for the
industrial/metallurgy source contribution (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) at
BCN. These sources were mostly linked with anthropogenic activities, and the
observed decreasing trends confirmed the effectiveness of pollution control
measures together with the possible effect of the economic crisis in Spain
from 2008. Conversely, the contributions from sources mostly linked with
natural processes such as aged marine (at both BCN and MSY) and
aged organic (at MSY) did not show statistically significant
trends.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Mann–Kendall and multi-exponential trends for source contributions
in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> at MSY. Measured concentration (green line); multi-exponential
trend (red line); multi-exponential residuals (blue line); Mann–Kendall
trend (black line); Mann–Kendall residuals (gray line). Trend type: linear
(L), single exponential (SE), double exponential (DE).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f07.pdf"/>

        </fig>

      <p>The trends of the secondary sulfate source contributions were DE
and SE at BCN and MSY, respectively, thus indicating that the decrease over
time of this source contribution was not gradual and monotonic. Overall the
observed decreasing trends at both stations may be attributed to the
legislation that came into force in 2007–2008 in Spain (the EC Directive on
Large Combustion Plants), which resulted in the application of flue gas
desulfurization (FGD) systems in a number of large facilities. Figure 8
shows the sharp decreases after 2007 observed for the national SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions mostly from power generation (MAGRAMA, 2013; Querol et
al., 2014). In BCN the two characteristic times (one low and the other high,
cf. Table 4) of the DE fit indicated a strong decrease of the
secondary sulfate source contribution at the beginning of the
period. This decrease was sharper compared to MSY where the SE fit was used.
This difference was mostly due to the ban of heavy oils and petroleum coke
for power generation around Barcelona from 2007. The effects of this AQ
regional plan were likely more visible in BCN compared to MSY, thus
explaining the two different exponential fits used. Overall, for the
secondary sulfate source contributions, the TRs were rather high
around 53 at MSY and 67 % at BCN, with RC ranging from 16 (BCN) to
21 % (MSY). The fact that the trend of the secondary sulfate
source contribution was exponential likely suggested the attainment of a
lower limit, and indicated a limited scope for further reduction of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions in our region. In fact, it has been estimated that the maximum in
EU will be a further 20 % reduction through measures in industry,
residential and commercial heating, and reduced agricultural waste burning
(UNECE, 2016). Conversely, in eastern European countries the scope for
reduction is much greater and around 60 % (UNECE, 2016).</p>
      <p>The trends of the secondary nitrate source contributions were SE at
both stations with very similar <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (8.96–8.59 years), TR (67–69 %), and RC (13–17 %). The decrease observed for the contribution from
the secondary nitrate source was related to the reduction in
ambient NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations (Figs. 8 and 9). Figure 9 shows the levels
of tropospheric NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column from 2005 to 2014 in southern Europe from NASA
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> Ozone Monitoring Instrument (OMI) Level 3 plotted using the Giovanni online data system (Acker and
Leptoukh, 2007). In Spain, a general decrease of the concentrations of columnar NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at
regional level can be observed. Overall, the
implementation of European directives affecting industrial and power
generation emissions as well as the increase of the proportion of energy
produced from renewable sources (cf. Fig. 10 for Spain), among others,
produced a significant reduction of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions. Around
Barcelona the observed decreases were also attributed to the decrease of
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions, mainly from the five power generation plants around the
city. Moreover, the implementation of the regional AQ Plan for SCRT
(continuously regenerating PM traps with selective catalytic reduction for
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the hybridization and shift to natural gas engines of
Barcelona's bus fleet may have had an influence in the
observed reductions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Spanish national emission of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (normalized to
year 2004).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f08.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>NASA OMI Level 3 tropospheric NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column plotted using the
Giovanni online data system, developed and maintained by the NASA GES DISC.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f09.pdf"/>

        </fig>

      <p>The decreasing trends (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) of the V–Ni-bearing source
contributions were SE and L at BCN and MSY, respectively, reflecting the
trends observed at both stations for the concentrations of V and Ni (cf.
Table 2). At BCN the characteristic times (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were very similar to the
characteristic times calculated for PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> V and Ni (cf. Table 2), which
were the main tracers of this source. TRs were around 61 % at BCN and
64 % at MSY, and RCs were similar (19–25  %). The observed decrease in
the V–Ni-bearing source contribution was mainly attributed to the
ban of the use of heavy oils and petroleum coke for power generation in
Spain from 2008.</p>
      <p>The industrial/metallurgy source contribution at BCN decreased
exponentially (SE) at the rate of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001), reflecting the SE decreasing
trends observed for the main tracers of
this pollutant source (Pb, Cd, and As; cf. Table 2). The decrease of
industrial emissions was mainly attributed to the implementation of the IPPC
(Integrated Pollution Prevention and Control) Directive. Moreover, the
observed decrease may be attributed to a decrease in the emissions from
industrial production (smelters; Querol et al., 2007) at a regional scale
around Barcelona. Also, the financial crisis, whose impact on industrial
production and use of fuels has been evident since October 2008 also contributed
to the observed trend. TR and RC for the industrial source
contributions at BCN were 65 and 16 %, respectively. As for the
contributions from secondary sulfate and nitrate sources,
the exponential trend observed for the industrial/metallurgy source
contribution suggested the attainment of a lower limit. As evidenced in Fig. 6, the contribution from this source from 2010 was quite low and rather
constant.</p>
      <p>The contribution of the industrial/traffic source at MSY showed
similar magnitude of the trend (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11 <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> yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) compared to the BCN
industrial/metallurgy contribution, both sources being traced mostly by the same industrial tracers. However, this
source at MSY was also traced by traffic tracers (i.e., Cu and Sn), which
decreased linearly with time (cf. Table 2), thus likely explaining the
linear trend observed for the contribution of this source at MSY. TR and RC
were 56 and 13 %, respectively, similar to those calculated for the industrial source contribution at BCN.</p>
      <p>Finally, the mineral source contribution at MSY showed linear
slightly significant decreasing trend (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1) in agreement with that
observed at the same station by Cusack et al. (2012). As already noted in
Sect. 3.3, this negative trend could be due to both a possible decrease of
the emissions of finer anthropogenic mineral species from specific sources,
such as cement and concrete production and construction works, and unusual
weather conditions, reducing the Saharan dust contribution to PM and resuspension
of dust.</p>
      <p>In order to further interpret the observed trends, annual data on the annual
National Energy Consumption (NECo) from different energy sources (MINETUR,
2013) were also evaluated (Fig. 10). Overall, the primary energy
consumption in Spain (NECo statistical data for Spain-MINETUR, 2013)
increased from 2004 to 2007 and decreased from 2007, with a marked decrease in
2009. From 2009, the energy consumption indicator remained rather low and
constant until 2012, when an additional decrease in 2013 and 2014 was
observed. Oil consumption was fairly constant during 2004–2007, showing an
important decrease during 2008–2014. This trend was probably governed by
the fuel consumption for traffic road. Coal consumption remained constantly
high from 2004 to 2007, whereas, as for the emissions of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 8), a
sharp decrease occurred from 2007. However, in the period 2011–2014, there
was an important increase of coal consumption leading to an average
consumption similar to the year 2008. However, the implementation of FGD
systems contributed to maintain SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at low concentrations, even in the
coal production regions in Spain (cf. Querol et al., 2014). The
hydroelectric generation was rather specular to coal consumption. For
example, the increase in 2010 of hydroelectric consumption, due to high
rainfall rate, mirrored the decrease in the coal consumption observed the
same year. Finally, renewable energy consumption increased by 440 % from
2004 to 2014, with a gradual growth in the NECo.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Annual (2004–2014) energy consumption for Spain (normalized to
year 2004). Data from the Spanish Ministry of Industry (MINETUR, 2013).</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/11787/2016/acp-16-11787-2016-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>PM chemical speciated data collected at two twin stations in the NE of Spain
(Barcelona: urban background station and Montseny: regional background
station) during 2004–2014 were used to study the trends of the
contributions of pollutant sources from PMF model and of their chemical
tracers. Despite the fact the trends of different PM fractions (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:mrow><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were linear during the period under study, the trends of
specific chemical elements and source contributions were exponential,
demonstrating the different effectiveness and/or time of implementation of
the different mitigation strategies. Statistically significant exponential
trends (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01 or 0.001) were mainly observed for the industrial
tracers (Pb, Cd, As) in both PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> and at both sites. The
concentrations of V and Ni showed exponential trends in BCN and linear
trends at MSY, likely because of the higher distance of the MSY station to
the sources of V and Ni (shipping and, before 2008, energy production)
compared to BCN. Traffic tracers at MSY (Sn, Cu) showed very similar linear
decreasing trends, with higher magnitude of the trends in the fine
(PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> fractions compared to PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>, likely because of possible
sources of coarser Sn and Cu reducing the magnitude of the trends in the
PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> mass fraction. The concentrations of Sb at MSY showed a marked
exponential decreasing trend compared to other traffic tracers (Cu and Sn),
which could be explained by a possible progressive reduction of Sb content
in vehicle brakes. Secondary inorganic aerosols (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 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> also showed marked decreasing trends
(both linear and exponential) in both fractions and at both sites. However,
in general the magnitude of the trends for these species and their
statistical significance were higher at BCN compared to MSY.</p>
      <p>The PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> source contributions that showed statistically significant
downward trends at both Barcelona (BCN; UB) and Montseny (MSY; RB) were from
secondary sulfate,secondary nitrate, and V–Ni-bearing sources. For these source contributions, the decreasing trends were
exponential, indicating that the trends were not gradual and consistent over
time and that the effectiveness of the control measures for these pollutants
was stronger at the beginning of the period under study (2004–2009
approximately) compared to the end of the period considered. Statistically
significant decreasing trends were observed for the contributions from
industrial/traffic and mineral sources at MSY and from the
industrial/metallurgy source at BCN. These sources were mostly
linked with anthropogenic activities, and the observed decreasing trends
confirmed the effectiveness of pollution control measures implemented at
European or regional/local levels. The economic crisis which started in 2008 in Spain
also contributed to the observed trends. Conversely, the contributions from
sources mostly linked with natural processes such as aged marine
(at both BCN and MSY) and aged organic (at MSY) did not show
statistically significant trends. The general trends observed for the
calculated PMF source contributions reflected the trends observed for
the chemical tracers of these pollutant sources well. The decrease in the
secondary sulfate source contribution was mainly attributed to the
EC Directive on Large Combustion Plants implemented in Spain from 2008,
resulting in the application of flue gas desulfurization (FGD) systems in a
number of large facilities. Moreover, according to the 2008 regional AQ
plan, the use of heavy oils and petroleum coke for power generation was
forbidden around Barcelona from 2008 in favor of natural gas. As a
consequence, a decrease of the contributions from the V–Ni-bearing source at
both sites was also observed. The decrease observed for the contribution of
the secondary nitrate source was mainly due to the reduction in
ambient NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations. In Spain a general decrease of the
concentrations of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at regional level was observed, and it was mainly
related with the lower energy consumption related with the financial crisis.
The decrease of nitrates concentrations and secondary nitrate
source contributions around Barcelona was also attributed to the decrease of
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from the five power generation plants around the city.
Moreover, a regional AQ plan implementing the SCRT (continuously
regenerating PM traps with selective catalytic reduction for NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
the hybridization and shift to natural gas engines of Barcelona's bus fleet may have also had an influence on
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ambient concentrations. The industrial/metallurgy source
contribution at BCN decreased exponentially, reflecting the exponential
trends observed for the main tracers of this pollutant source (Pb, Cd and
As). The implementation of the IPPC (Integrated Pollution Prevention and
Control) Directive, together with a decrease in the emissions from
industrial production (smelters) at a regional scale around Barcelona,
explained the observed trends. Overall, the magnitudes of the decreasing
trends of the contributions of the pollutant sources were higher at BCN
compared to MSY, likely because of the proximity of the BCN measurement site
to anthropogenic pollutant sources compared to the MSY site. The results
presented in this work clearly confirm the beneficial effect of the AQ
measures taken in recent years in Europe. However, the WHO limit values of
specific pollutants, such as PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, are still
exceeded, especially at urban level and industrial hotspots. To meet the WHO
guide levels, important action is still required for the next decade and
the interpretation of past air quality trends may yield relevant outcomes
for planning further cost-effective actions. We would like to highlight that
a nonlinear approach to trend studies is very attractive, given that some
air pollutants reported in this work showed reductions that are not
gradual with time. Conversely, for specific pollutant
source-contribution/concentration in our region, the decreasing trends were
less steep at the end of the period compared to the beginning, thus likely
indicating the attainment of a lower limit. This was the case, for example,
for the secondary sulfate source contribution decreasing
exponentially from 2004 to 2014, thus likely indicating a limited scope for
further reduction of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in our region.</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>The Montseny data sets used for this publication are accessible online on the following web page: <uri>www.http://ebas.nilu.no/</uri>.
The Barcelona data sets were collected within different national/regional projects and/or agreements and are available upon request.</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-16-11787-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-11787-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>This work was supported by the MINECO (Spanish Ministry of Economy and
Competitiveness), the MAGRAMA (Spanish Ministry of Agriculture, Food and
Environment), the Generalitat de Catalunya (AGAUR 2014 SGR33 and the DGQA),
and FEDER funds under the PRISMA project (CGL2012-39623-C02/00). The
research leading to these results has received funding from the European
Union's Horizon 2020 research and innovation programme under grant agreement
no. 654109 and previously from the European Union Seventh Framework Programme
(FP7/2007-2013) under grant agreement no. 262254. Marco Pandolfi is
funded by a Ramón y Cajal Fellowship (RYC-2013-14036) awarded by the
Spanish Ministry of Economy and Competitiveness. NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> map analyses and
visualizations used in this paper were produced with the Giovanni online
data system, developed and maintained by the NASA GES DISC. The authors
would like to express their gratitude to D. C. Carslaw and K. Ropkins for
providing the Openair software used in this paper (Carslaw and Ropkins,
2012; Carslaw, 2012).
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: V.-M. Kerminen<?xmltex \hack{\newline}?>
Reviewed by: three anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>
Acker, J. G. and Leptoukh, G.: Online Analysis Enhances Use of NASA
Earth Science Data, Eos, Trans. AGU, 88,  14–17, 2007.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Alastuey, A., Minguillón, M. C., Pérez, N., Querol, X., Viana, M., and
de Leeuw, F.: PM10 Measurement Methods and Correction Factors: 2009
Status Report, ETC/ACM Technical Paper 2011/21, 2011.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Amato, F., Pandolfi, M., Escrig, A., Querol, X., Alastuey, A., Pey, J., Perez,
N., and
Hopke, P. K.: Quantifying road dust resuspension in urban environment
by Multilinear Engine: A comparison with PMF2, Atmos. Environ., 43–17,
2770–2780, 2009.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Barmpadimos, I., Keller, J., Oderbolz, D., Hueglin, C., and Prévôt, A. S. H.: One decade of
parallel fine (PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>) and coarse (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>) particulate matter measurements in Europe: trends and
variability, Atmos. Chem. Phys., 12, 3189–3203, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-3189-2012" ext-link-type="DOI">10.5194/acp-12-3189-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>
Carslaw, D. C.: The OpenAir manual – open-source tools for
analysing air pollution data, Manual for version 0.5–16, King's College,
London, 2012.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
Carslaw, D. C. and Ropkins, K.: OpenAir – an R package for air quality
data analysis, Environ. Model Softw., 27–28, 52–61, 2012.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Cavalli, F., Viana, M., Yttri, K. E., Genberg, J., and Putaud, J.-P.: Toward a standardised thermal-optical
protocol for measuring atmospheric organic and elemental carbon: the EUSAAR protocol, Atmos. Meas. Tech., 3, 79–89, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-3-79-2010" ext-link-type="DOI">10.5194/amt-3-79-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Cusack, M., Alastuey, A., Pérez, N., Pey, J., and Querol, X.: Trends of particulate matter (PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>) and chemical composition
at a regional background site in the Western Mediterranean over the last nine years (2002–2010), Atmos. Chem. Phys., 12, 8341–8357,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-8341-2012" ext-link-type="DOI">10.5194/acp-12-8341-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>EEA: European Environmental Agency Air quality in Europe – 2013 report,
EEA report 9/2013, Copenhagen, 1725–9177,  available at: <uri>http://www.eea.europa.eu/publications/air-quality-in-europe-2013</uri> (last access: 10 March 2016), 2013.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>EEA: European Environmental Agency Air quality in Europe – 2015 report,
Many Europeans still exposed to harmful air pollution, Air pollution
is the single largest environmental health risk in Europe, EEA report
11/2015, Copenhagen, 1–7,
available at: <uri>http://www.eea.europa.eu/media/newsreleases/many-europeans-still-exposed-to-air-pollution-2015</uri> (last access: 16 May 2016),
2015.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>
Escrig, A., Monfort, E., Celades, I., Querol, X., Amato, F., Min guillon, M.
C., and Hopke, P. K.: Application of optimally scaled target factor analysis
for assessing source contribution of ambi ent PM10, J. Air Waste Manage.,
59, 1296–1307, 2009.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>
Gilbert, R. O.: Statistical Methods for Environmental Pollution Monitoring,
Wiley, NY, 1987.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Guerreiro, C., Leeuw, F. de, Foltescu, V., Horálek, J., and European
Environment Agency: Air quality in Europe 2014 report, Luxembourg:
Publications Office, available at: <uri>http://bookshop.europa.eu/uri?target=EUB:NOTICE:THAL14005:EN:HTML</uri>
(last access: 2 June 2016), 2014.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>
Harrison, R. M., Stedman, J., and Derwent, D.: New directions: why are
PM10 concentrations in Europe not falling?, Atmos. Environ., 42, 603–606,
2008.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Henschel, S., Querol, X., Atkinson, R., Pandolfi, M., Zeca, A., Le Tertre,
A., Analitis, A., Katsouyanni, K., Chanel, O., Pascal, M., Bouland, C.,
Haluza, D., Medina, S., and Goodman, P. G.: Ambient air SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> patterns in 6
European cities, Atmos. Environ., 79, 236–247, 2013.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>
Henschel, S., Le Tertre, A., Atkinson, R.W., Querol, X., Pandolfi, M., Zeka,
A., Haluza, D., Antonis, A., Katsouyanni, K., Bouland, C., Pascal, M.,
Medina, S., and Goodman, P. G.: Trends of nitrogen oxides in ambient air
in nine European cities between 1999 and 2010, Atmos. Environ., 117, 234–241, 2015.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>
Kendall, M. G.: Rank Correlation Methods, 4th Edn., Charles Griffin,
London, 1975.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>MAGRAMA: Inventario Nacional de Emisiones de Contaminantes a la
Atmósfera, Ministerio de Agricultura, Alimentación y Medio Ambiente
del Gobierno de España, available at:
<uri>http://www.magrama.gob.es/ca/calidad-y-evaluacion-ambiental/temas/sistemaespanol-de-inventario-sei-/</uri> (last access: 12 February 2016),
2013.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
Mann, H. B.: Non-parametric tests against trend, Econometrica, 13, 163–171,
1945.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>MINETUR: Ministerio de Industria, Energía y Turismo, Gobierno de
España: energy statistics and balances, available at:
<uri>http://www.minetur.gob.es/energia/balances/Balances/Paginas/CoyunturaTrimestral.aspx</uri> (last access: 12 February 2016),
2013.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>
Paatero, P.: Least squares formulation of robust non-negative factor
analysis, Chemometr. Intell. Lab., 37, 23–35, 1997.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>
Paatero, P.: User's guide for positive matrix factorization programs PMF2 and
PMF3, Part 1: tutorial, University of Helsinki, Helsinki, Finland, 2004.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>
Paatero, P. and Tapper, U.: Positive Matrix Factorization: a non
negative factor model with optimal utilization of error estimates of data
values, Environmetrics, 5, 111–126, 1994.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Paatero, P. and Hopke, P. K.: Discarding or downweighting high noise
variables in factor analytic models, Anal. Chim. Ac., 490, 277–289,
<ext-link xlink:href="http://dx.doi.org/10.1016/s0003-2670(02)01643-4" ext-link-type="DOI">10.1016/s0003-2670(02)01643-4</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>
Paatero, P., Hopke, P. K., Song, X., and Ramadan, Z.: Understanding
and controlling rotations in factor analytic models, Chemometr. Intell.
Lab., 60, 253–264, 2002.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Paatero, P., Hopke, P. K., Begum, B. A., and Biswas, S. K.: A
graphical diagnostic method for assessing the rotation in factor analytical
models of atmospheric pollution, Atmos. Environ., 39, 193–201,
<ext-link xlink:href="http://dx.doi.org/10.1016/j.atmosenv.2004.08.018" ext-link-type="DOI">10.1016/j.atmosenv.2004.08.018</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Pandolfi, M., Cusack, M., Alastuey, A., and Querol, X.: Variability of aerosol optical properties in the Western
Mediterranean Basin, Atmos. Chem. Phys., 11, 8189–8203, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-8189-2011" ext-link-type="DOI">10.5194/acp-11-8189-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Pandolfi, M., Amato, F., Reche, C., Alastuey, A., Otjes, R. P., Blom, M. J., and Querol, X.: Summer
ammonia measurements in a densely populated Mediterranean city, Atmos. Chem. Phys., 12, 7557–7575, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-7557-2012" ext-link-type="DOI">10.5194/acp-12-7557-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Pandolfi, M., Martucci, G., Querol, X., Alastuey, A., Wilsenack, F., Frey, S., O'Dowd, C. D.,
and Dall'Osto, M.: Continuous atmospheric boundary layer observations in the coastal urban area of
Barcelona during SAPUSS, Atmos. Chem. Phys., 13, 4983–4996, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-13-4983-2013" ext-link-type="DOI">10.5194/acp-13-4983-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Pandolfi, M., Querol, X., Alastuey, A., Jimenez, J. L., Jorba, O., Day, D.,
Ortega, A., Cubison, M. J., Comerón, A., Sicard, M., Mohr, C.,
Prévôt, A. S. H., Minguillón, M. C., Pey, J., Baldasano, J. M.,
Burkhart, J. F., Seco, R., Peñuelas, J., van Drooge, B. L.,
Artiñano, B., Di Marco, C., Nemitz, E., Schallhart, S., Metzger, A.,
Hansel, A., Lorente, J., Ng, S., Jayne, J., and Szidat, S.: Effects of
sources and meteorology on particulate matter in the Western Mediterranean
Basin: An overview of the DAURE campaign, J. Geophys. Res.-Atmos., 119,
4978–5010, <ext-link xlink:href="http://dx.doi.org/10.1002/2013JD021079" ext-link-type="DOI">10.1002/2013JD021079</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Pérez, N., Pey, J., Castillo, S., Viana, M., Alastuey, A., and Querol,
X.: Interpretation of the variability of levels of regional background
aerosols in the Western Mediterranean, Sci. Total Environ., 407,
527–540, <ext-link xlink:href="http://dx.doi.org/10.1016/j.scitotenv.2008.09.006" ext-link-type="DOI">10.1016/j.scitotenv.2008.09.006</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Pey, J., Pérez, N., Querol, X., Alastuey, A., Cusack, M., and Reche, C.:
Intense winter atmospheric pollution episodes affecting the Western
Mediterranean, Sci. Total Environ., 408, 1951–9,
<ext-link xlink:href="http://dx.doi.org/10.1016/j.scitotenv.2010.01.052" ext-link-type="DOI">10.1016/j.scitotenv.2010.01.052</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Pey, J., Querol, X., Alastuey, A., Forastiere, F., and Stafoggia, M.: African dust outbreaks over the Mediterranean
Basin during 2001–2011: PM10 concentrations, phenomenology and trends, and its relation with synoptic and
mesoscale meteorology, Atmos. Chem. Phys., 13, 1395–1410, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-13-1395-2013" ext-link-type="DOI">10.5194/acp-13-1395-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>
Querol, X., Viana, M., Alastuey, A., Amato, F., Moreno, T., Castillo, S.,
Pey, J., de la Rosa, J., Artíñano, B., Salvador, P., García
Dos Santos, S., Fernández-Patier, R., Moreno-Grau, S., Negral, L.,
Minguillón, M. C., Monfort, E., Gil, J. I., Inza, A., Ortega, L. A.,
Santamaría, J. M., and Zabalza, J.: Source origin of trace elements in PM
from regional background, urban and industrial sites of Spain, Atmos.
Environ., 41, 7219–7231, 2007.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Querol, X., Alastuey, A., Moreno, T., Viana, M.M., Castillo, S., Pey, J.,
Rodríguez, S., Artiñano, B., Salvador, P., Sánchez, M., Garcia
Dos Santos, S., Herce Garraleta, M. D., Fernandez-Patier, R., Moreno-Grau,
S., Negral, L., Minguillón, M. C., Monfort, E., Sanz, M. J.,
Palomo-Marín, R., Pinilla-Gil, E., Cuevas, E., de la Rosa, J., and
Sánchez de la Campa, A.: Spatial and temporal variations
inairborne particulate matter (PM10 and PM2.5) across Spain 1999–2005,
Atmos. Environ., 42, 3694–3979, 2008.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>
Querol, X., Viana, M., Moreno, T., Alastuey, A., Pey, J., Amato, F., Pandolfi, M., Minguillón, M. C., Reche, C.,
Pérez, N., González, A., Pallarés, M., Moral, A., Monfort, E., Escrig, A., Cristóbal, A., Hernández, I., Miró, J. V.,
Jiménez, S., Reina, F., Jabato, R., Ballester, F., Boldo, E., and Bellido, J.: Scientific bases for a National Air Quality Plan (in
Spanish), Colección Informes CSIC, 978-84-00-09475-1,  2012.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Querol, X., , Alastuey, A., Pandolfi, M., Reche, C., Pérez, N.,
Minguillón, M. C., Moreno, T., Viana, M., Escudero, M., Orio, A.,
Pallarés, M., and Reina, F.: 2001–2012 trends on air quality in
Spain, Sci. Total Environ., 490, 957–969,
<ext-link xlink:href="http://dx.doi.org/10.1016/j.scitotenv.2014.05.074" ext-link-type="DOI">10.1016/j.scitotenv.2014.05.074</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Salmi, T., Maata, A., Antilla, P., Ruoho-Airola, T., and Amnell, T.: Detecting
trends of annual values of atmospheric pollutants by the Mann Kendall test
and Sen's slope estimates – the Excel template application Makesens,
Finnish Meteorological Institute, Helsinki, Finland, 35 pp., 2002.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>
Salvador P., Artíñano B., Viana M., Alastuey A., and Querol X.:
Evaluation of the changes in the Madrid metropolitan area
influencing air quality: analysis of 1999–2008 temporal trend of Particulate
Matter, Atmos. Environ., 57, 175–185, 2012.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>
Sen, P. K.: Estimates of regression coefficient based on Kendall's
tau, J. Am. Stat. Assoc., 63, 1379–1389, 1968.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>
Shatalov, V., Ilyin I., Gusev A., Rozovskaya O., and Travnikov O.: Heavy
Metals and Persistent Organic Pollutants: development of multi-scale
modeling and trend analysis methodology, EMEP/MSC-E Technical report
1/2015, 2015.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>
Smith, D. M.: Computing single parameter transformations,
Communications in Statistics – Simulation and Computation, 32, 605–618,
2002.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>
Theil, H.: A rank invariant method of linear and polynomial
regression analysis, I, II, III, Proceedings of the Koninklijke Nederlandse
Akademie Wetenschappen, Series A, Mathematical Sciences, 386–392,
521–525, 1397–1412, 1950.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>UNECE: Towards Cleaner Air. Scientific Assessment Report. EMEP Steering Body
and Working Group on Effects of the Convention on Long-Range Transboundary
Air Pollution, Oslo,  50 pp., edited by: Maas,
R. and
Grennfelt, P.,
<uri>www.unece.org/environmental-policy/conventions/envlrtapwelcome/publications.html</uri> (last access: 3 July 2016),
2016.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Williams, M. L. and Carslaw, D.: New directions: science and policy –
out of step on NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>?, Atmos. Environ., 45, 3911–3912, 2011.</mixed-citation></ref>

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

    </app></app-group></back>
    <!--<article-title-html>Trends analysis of PM source contributions and chemical tracers in NE Spain
during 2004–2014: a multi-exponential approach</article-title-html>
<abstract-html><p class="p">In this work for the first time data from two twin stations (Barcelona,
urban background, and Montseny, regional background), located in the northeast (NE) of
Spain, were used to study the trends of the concentrations of different
chemical species in PM<sub>10</sub> and PM<sub>2.5</sub> along with the trends of the
PM<sub>10</sub> source contributions from the positive matrix factorization (PMF)
model. Eleven years of chemical data (2004–2014) were used for this study.
Trends of both species concentrations and source contributions were studied
using the Mann–Kendall test for linear trends and a new approach based on
multi-exponential fit of the data. Despite the fact that different PM
fractions (PM<sub>2.5</sub>, PM<sub>10</sub>) showed linear decreasing trends at both
stations, the contributions of specific sources of pollutants and of their
chemical tracers showed exponential decreasing trends. The different types
of trends observed reflected the different effectiveness and/or time of
implementation of the measures taken to reduce the concentrations of
atmospheric pollutants. Moreover, the trends of the contributions of
specific sources such as those related with industrial activities and with
primary energy consumption mirrored the effect of the financial crisis in
Spain from 2008. The sources that showed statistically significant downward
trends at both Barcelona (BCN) and Montseny (MSY) during 2004–2014 were
secondary sulfate, secondary nitrate, and V–Ni-bearing source. The contributions from these sources decreased
exponentially during the considered period, indicating that the observed
reductions were not gradual and consistent over time. Conversely, the trends
were less steep at the end of the period compared to the beginning, thus
likely indicating the attainment of a lower limit. Moreover, statistically
significant decreasing trends were observed for the contributions to PM from
the industrial/traffic source at MSY (mixed metallurgy and road
traffic) and from the industrial (metallurgy mainly) source at BCN. These sources were clearly linked with anthropogenic
activities, and the observed decreasing trends confirmed the effectiveness of
pollution control measures implemented at European or regional/local levels.
Conversely, at regional level, the contributions from sources mostly linked
with natural processes, such as aged marine and aged organics, did not show statistically significant trends. The trends observed
for the PM<sub>10</sub> source contributions reflected the trends observed
for the chemical tracers of these pollutant sources well.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Acker, J. G. and Leptoukh, G.: Online Analysis Enhances Use of NASA
Earth Science Data, Eos, Trans. AGU, 88,  14–17, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Alastuey, A., Minguillón, M. C., Pérez, N., Querol, X., Viana, M., and
de Leeuw, F.: PM10 Measurement Methods and Correction Factors: 2009
Status Report, ETC/ACM Technical Paper 2011/21, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Amato, F., Pandolfi, M., Escrig, A., Querol, X., Alastuey, A., Pey, J., Perez,
N., and
Hopke, P. K.: Quantifying road dust resuspension in urban environment
by Multilinear Engine: A comparison with PMF2, Atmos. Environ., 43–17,
2770–2780, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Barmpadimos, I., Keller, J., Oderbolz, D., Hueglin, C., and Prévôt, A. S. H.: One decade of
parallel fine (PM<sub>2.5</sub>) and coarse (PM<sub>10</sub>-PM<sub>2.5</sub>) particulate matter measurements in Europe: trends and
variability, Atmos. Chem. Phys., 12, 3189–3203, <a href="http://dx.doi.org/10.5194/acp-12-3189-2012" target="_blank">doi:10.5194/acp-12-3189-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Carslaw, D. C.: The OpenAir manual – open-source tools for
analysing air pollution data, Manual for version 0.5–16, King's College,
London, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Carslaw, D. C. and Ropkins, K.: OpenAir – an R package for air quality
data analysis, Environ. Model Softw., 27–28, 52–61, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Cavalli, F., Viana, M., Yttri, K. E., Genberg, J., and Putaud, J.-P.: Toward a standardised thermal-optical
protocol for measuring atmospheric organic and elemental carbon: the EUSAAR protocol, Atmos. Meas. Tech., 3, 79–89, <a href="http://dx.doi.org/10.5194/amt-3-79-2010" target="_blank">doi:10.5194/amt-3-79-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Cusack, M., Alastuey, A., Pérez, N., Pey, J., and Querol, X.: Trends of particulate matter (PM<sub>2.5</sub>) and chemical composition
at a regional background site in the Western Mediterranean over the last nine years (2002–2010), Atmos. Chem. Phys., 12, 8341–8357,
<a href="http://dx.doi.org/10.5194/acp-12-8341-2012" target="_blank">doi:10.5194/acp-12-8341-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
EEA: European Environmental Agency Air quality in Europe – 2013 report,
EEA report 9/2013, Copenhagen, 1725–9177,  available at: <a href="http://www.eea.europa.eu/publications/air-quality-in-europe-2013" target="_blank">http://www.eea.europa.eu/publications/air-quality-in-europe-2013</a> (last access: 10 March 2016), 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
EEA: European Environmental Agency Air quality in Europe – 2015 report,
Many Europeans still exposed to harmful air pollution, Air pollution
is the single largest environmental health risk in Europe, EEA report
11/2015, Copenhagen, 1–7,
available at: <a href="http://www.eea.europa.eu/media/newsreleases/many-europeans-still-exposed-to-air-pollution-2015" target="_blank">http://www.eea.europa.eu/media/newsreleases/many-europeans-still-exposed-to-air-pollution-2015</a> (last access: 16 May 2016),
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Escrig, A., Monfort, E., Celades, I., Querol, X., Amato, F., Min guillon, M.
C., and Hopke, P. K.: Application of optimally scaled target factor analysis
for assessing source contribution of ambi ent PM10, J. Air Waste Manage.,
59, 1296–1307, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Gilbert, R. O.: Statistical Methods for Environmental Pollution Monitoring,
Wiley, NY, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Guerreiro, C., Leeuw, F. de, Foltescu, V., Horálek, J., and European
Environment Agency: Air quality in Europe 2014 report, Luxembourg:
Publications Office, available at: <a href="http://bookshop.europa.eu/uri?target=EUB:NOTICE:THAL14005:EN:HTML" target="_blank">http://bookshop.europa.eu/uri?target=EUB:NOTICE:THAL14005:EN:HTML</a>
(last access: 2 June 2016), 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Harrison, R. M., Stedman, J., and Derwent, D.: New directions: why are
PM10 concentrations in Europe not falling?, Atmos. Environ., 42, 603–606,
2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Henschel, S., Querol, X., Atkinson, R., Pandolfi, M., Zeca, A., Le Tertre,
A., Analitis, A., Katsouyanni, K., Chanel, O., Pascal, M., Bouland, C.,
Haluza, D., Medina, S., and Goodman, P. G.: Ambient air SO<sub>2</sub> patterns in 6
European cities, Atmos. Environ., 79, 236–247, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Henschel, S., Le Tertre, A., Atkinson, R.W., Querol, X., Pandolfi, M., Zeka,
A., Haluza, D., Antonis, A., Katsouyanni, K., Bouland, C., Pascal, M.,
Medina, S., and Goodman, P. G.: Trends of nitrogen oxides in ambient air
in nine European cities between 1999 and 2010, Atmos. Environ., 117, 234–241, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Kendall, M. G.: Rank Correlation Methods, 4th Edn., Charles Griffin,
London, 1975.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
MAGRAMA: Inventario Nacional de Emisiones de Contaminantes a la
Atmósfera, Ministerio de Agricultura, Alimentación y Medio Ambiente
del Gobierno de España, available at:
<a href="http://www.magrama.gob.es/ca/calidad-y-evaluacion-ambiental/temas/sistemaespanol-de-inventario-sei-/" target="_blank">http://www.magrama.gob.es/ca/calidad-y-evaluacion-ambiental/temas/sistemaespanol-de-inventario-sei-/</a> (last access: 12 February 2016),
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Mann, H. B.: Non-parametric tests against trend, Econometrica, 13, 163–171,
1945.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
MINETUR: Ministerio de Industria, Energía y Turismo, Gobierno de
España: energy statistics and balances, available at:
<a href="http://www.minetur.gob.es/energia/balances/Balances/Paginas/CoyunturaTrimestral.aspx" target="_blank">http://www.minetur.gob.es/energia/balances/Balances/Paginas/CoyunturaTrimestral.aspx</a> (last access: 12 February 2016),
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Paatero, P.: Least squares formulation of robust non-negative factor
analysis, Chemometr. Intell. Lab., 37, 23–35, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Paatero, P.: User's guide for positive matrix factorization programs PMF2 and
PMF3, Part 1: tutorial, University of Helsinki, Helsinki, Finland, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Paatero, P. and Tapper, U.: Positive Matrix Factorization: a non
negative factor model with optimal utilization of error estimates of data
values, Environmetrics, 5, 111–126, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Paatero, P. and Hopke, P. K.: Discarding or downweighting high noise
variables in factor analytic models, Anal. Chim. Ac., 490, 277–289,
<a href="http://dx.doi.org/10.1016/s0003-2670(02)01643-4" target="_blank">doi:10.1016/s0003-2670(02)01643-4</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Paatero, P., Hopke, P. K., Song, X., and Ramadan, Z.: Understanding
and controlling rotations in factor analytic models, Chemometr. Intell.
Lab., 60, 253–264, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Paatero, P., Hopke, P. K., Begum, B. A., and Biswas, S. K.: A
graphical diagnostic method for assessing the rotation in factor analytical
models of atmospheric pollution, Atmos. Environ., 39, 193–201,
<a href="http://dx.doi.org/10.1016/j.atmosenv.2004.08.018" target="_blank">doi:10.1016/j.atmosenv.2004.08.018</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Pandolfi, M., Cusack, M., Alastuey, A., and Querol, X.: Variability of aerosol optical properties in the Western
Mediterranean Basin, Atmos. Chem. Phys., 11, 8189–8203, <a href="http://dx.doi.org/10.5194/acp-11-8189-2011" target="_blank">doi:10.5194/acp-11-8189-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Pandolfi, M., Amato, F., Reche, C., Alastuey, A., Otjes, R. P., Blom, M. J., and Querol, X.: Summer
ammonia measurements in a densely populated Mediterranean city, Atmos. Chem. Phys., 12, 7557–7575, <a href="http://dx.doi.org/10.5194/acp-12-7557-2012" target="_blank">doi:10.5194/acp-12-7557-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Pandolfi, M., Martucci, G., Querol, X., Alastuey, A., Wilsenack, F., Frey, S., O'Dowd, C. D.,
and Dall'Osto, M.: Continuous atmospheric boundary layer observations in the coastal urban area of
Barcelona during SAPUSS, Atmos. Chem. Phys., 13, 4983–4996, <a href="http://dx.doi.org/10.5194/acp-13-4983-2013" target="_blank">doi:10.5194/acp-13-4983-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Pandolfi, M., Querol, X., Alastuey, A., Jimenez, J. L., Jorba, O., Day, D.,
Ortega, A., Cubison, M. J., Comerón, A., Sicard, M., Mohr, C.,
Prévôt, A. S. H., Minguillón, M. C., Pey, J., Baldasano, J. M.,
Burkhart, J. F., Seco, R., Peñuelas, J., van Drooge, B. L.,
Artiñano, B., Di Marco, C., Nemitz, E., Schallhart, S., Metzger, A.,
Hansel, A., Lorente, J., Ng, S., Jayne, J., and Szidat, S.: Effects of
sources and meteorology on particulate matter in the Western Mediterranean
Basin: An overview of the DAURE campaign, J. Geophys. Res.-Atmos., 119,
4978–5010, <a href="http://dx.doi.org/10.1002/2013JD021079" target="_blank">doi:10.1002/2013JD021079</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Pérez, N., Pey, J., Castillo, S., Viana, M., Alastuey, A., and Querol,
X.: Interpretation of the variability of levels of regional background
aerosols in the Western Mediterranean, Sci. Total Environ., 407,
527–540, <a href="http://dx.doi.org/10.1016/j.scitotenv.2008.09.006" target="_blank">doi:10.1016/j.scitotenv.2008.09.006</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Pey, J., Pérez, N., Querol, X., Alastuey, A., Cusack, M., and Reche, C.:
Intense winter atmospheric pollution episodes affecting the Western
Mediterranean, Sci. Total Environ., 408, 1951–9,
<a href="http://dx.doi.org/10.1016/j.scitotenv.2010.01.052" target="_blank">doi:10.1016/j.scitotenv.2010.01.052</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Pey, J., Querol, X., Alastuey, A., Forastiere, F., and Stafoggia, M.: African dust outbreaks over the Mediterranean
Basin during 2001–2011: PM10 concentrations, phenomenology and trends, and its relation with synoptic and
mesoscale meteorology, Atmos. Chem. Phys., 13, 1395–1410, <a href="http://dx.doi.org/10.5194/acp-13-1395-2013" target="_blank">doi:10.5194/acp-13-1395-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Querol, X., Viana, M., Alastuey, A., Amato, F., Moreno, T., Castillo, S.,
Pey, J., de la Rosa, J., Artíñano, B., Salvador, P., García
Dos Santos, S., Fernández-Patier, R., Moreno-Grau, S., Negral, L.,
Minguillón, M. C., Monfort, E., Gil, J. I., Inza, A., Ortega, L. A.,
Santamaría, J. M., and Zabalza, J.: Source origin of trace elements in PM
from regional background, urban and industrial sites of Spain, Atmos.
Environ., 41, 7219–7231, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Querol, X., Alastuey, A., Moreno, T., Viana, M.M., Castillo, S., Pey, J.,
Rodríguez, S., Artiñano, B., Salvador, P., Sánchez, M., Garcia
Dos Santos, S., Herce Garraleta, M. D., Fernandez-Patier, R., Moreno-Grau,
S., Negral, L., Minguillón, M. C., Monfort, E., Sanz, M. J.,
Palomo-Marín, R., Pinilla-Gil, E., Cuevas, E., de la Rosa, J., and
Sánchez de la Campa, A.: Spatial and temporal variations
inairborne particulate matter (PM10 and PM2.5) across Spain 1999–2005,
Atmos. Environ., 42, 3694–3979, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Querol, X., Viana, M., Moreno, T., Alastuey, A., Pey, J., Amato, F., Pandolfi, M., Minguillón, M. C., Reche, C.,
Pérez, N., González, A., Pallarés, M., Moral, A., Monfort, E., Escrig, A., Cristóbal, A., Hernández, I., Miró, J. V.,
Jiménez, S., Reina, F., Jabato, R., Ballester, F., Boldo, E., and Bellido, J.: Scientific bases for a National Air Quality Plan (in
Spanish), Colección Informes CSIC, 978-84-00-09475-1,  2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Querol, X., , Alastuey, A., Pandolfi, M., Reche, C., Pérez, N.,
Minguillón, M. C., Moreno, T., Viana, M., Escudero, M., Orio, A.,
Pallarés, M., and Reina, F.: 2001–2012 trends on air quality in
Spain, Sci. Total Environ., 490, 957–969,
<a href="http://dx.doi.org/10.1016/j.scitotenv.2014.05.074" target="_blank">doi:10.1016/j.scitotenv.2014.05.074</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Salmi, T., Maata, A., Antilla, P., Ruoho-Airola, T., and Amnell, T.: Detecting
trends of annual values of atmospheric pollutants by the Mann Kendall test
and Sen's slope estimates – the Excel template application Makesens,
Finnish Meteorological Institute, Helsinki, Finland, 35 pp., 2002.

</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Salvador P., Artíñano B., Viana M., Alastuey A., and Querol X.:
Evaluation of the changes in the Madrid metropolitan area
influencing air quality: analysis of 1999–2008 temporal trend of Particulate
Matter, Atmos. Environ., 57, 175–185, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Sen, P. K.: Estimates of regression coefficient based on Kendall's
tau, J. Am. Stat. Assoc., 63, 1379–1389, 1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Shatalov, V., Ilyin I., Gusev A., Rozovskaya O., and Travnikov O.: Heavy
Metals and Persistent Organic Pollutants: development of multi-scale
modeling and trend analysis methodology, EMEP/MSC-E Technical report
1/2015, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Smith, D. M.: Computing single parameter transformations,
Communications in Statistics – Simulation and Computation, 32, 605–618,
2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Theil, H.: A rank invariant method of linear and polynomial
regression analysis, I, II, III, Proceedings of the Koninklijke Nederlandse
Akademie Wetenschappen, Series A, Mathematical Sciences, 386–392,
521–525, 1397–1412, 1950.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
UNECE: Towards Cleaner Air. Scientific Assessment Report. EMEP Steering Body
and Working Group on Effects of the Convention on Long-Range Transboundary
Air Pollution, Oslo,  50 pp., edited by: Maas,
R. and
Grennfelt, P.,
<a href="www.unece.org/environmental-policy/conventions/envlrtapwelcome/publications.html" target="_blank">www.unece.org/environmental-policy/conventions/envlrtapwelcome/publications.html</a> (last access: 3 July 2016),
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Williams, M. L. and Carslaw, D.: New directions: science and policy –
out of step on NO<sub><i>x</i></sub> and NO<sub>2</sub>?, Atmos. Environ., 45, 3911–3912, 2011.
</mixed-citation></ref-html>--></article>
