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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-21-17927-2021</article-id><title-group><article-title>Observation and modeling of high-<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration events at the
surface in northern Europe associated with the instability of the Arctic
polar vortex in early 2003</article-title><alt-title>High-<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration events at the surface in northern Europe</alt-title>
      </title-group><?xmltex \runningtitle{High-${}^{7}$Be concentration events at the surface in northern Europe}?><?xmltex \runningauthor{E. Brattich et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Brattich</surname><given-names>Erika</given-names></name>
          <email>erika.brattich@unibo.it</email>
        <ext-link>https://orcid.org/0000-0001-8402-7611</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Liu</surname><given-names>Hongyu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2164-6383</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zhang</surname><given-names>Bo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0746-4732</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Hernández-Ceballos</surname><given-names>Miguel Ángel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Paatero</surname><given-names>Jussi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Sarvan</surname><given-names>Darko</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Djurdjevic</surname><given-names>Vladimir</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9882-1189</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Tositti</surname><given-names>Laura</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1778-672X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Ajtić</surname><given-names>Jelena</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8200-4168</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Physics and Astronomy “Augusto Righi” DIFA, Alma
Mater Studiorum University of Bologna, <?xmltex \hack{\break}?>via Irnerio 46, 40126 Bologna (BO),
Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Institute of Aerospace, 100 Exploration Way, Hampton, VA
23666, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Physics, University of Cordoba, Rabanales Campus, 14071
Cordoba, Spain</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Finnish Meteorological Institute, P.O. Box 503, 00101, Helsinki,
Finland</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Faculty of Veterinary Medicine, University of Belgrade, Bulevar
oslobođenja 18, 11000 Belgrade, Serbia</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institute of Meteorology, Faculty of Physics, University of
Belgrade, Studentski trg 18, 11000 Belgrade, Serbia</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Chemistry “G. Ciamician”, Alma Mater Studiorum
University of Bologna, <?xmltex \hack{\break}?>via Selmi 2, 40126 Bologna (BO), Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Erika Brattich (erika.brattich@unibo.it)</corresp></author-notes><pub-date><day>7</day><month>December</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>23</issue>
      <fpage>17927</fpage><lpage>17951</lpage>
      <history>
        <date date-type="received"><day>29</day><month>October</month><year>2020</year></date>
           <date date-type="rev-request"><day>17</day><month>February</month><year>2021</year></date>
           <date date-type="rev-recd"><day>9</day><month>October</month><year>2021</year></date>
           <date date-type="accepted"><day>29</day><month>October</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Erika Brattich et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021.html">This article is available from https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e218">Events of very high concentrations of <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be cosmogenic
radionuclide have been recorded at low-elevation surface stations in the
subpolar regions of Europe during the cold season. With an aim to
investigate the mechanisms responsible for those peak <inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be events, and
in particular to verify if they are associated with the fast descent of
stratospheric air masses occurring during sudden stratospheric warming
(SSW) events, we analyze <inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be observations at six sampling sites in
Fennoscandia during January–March 2003 when very high <inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations were observed and the Arctic vortex was relatively unstable
as a consequence of several SSW events. We use the GEOS-Chem chemistry and
transport model driven by the MERRA-2 meteorological reanalysis to simulate
tropospheric <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be over northern Europe. We show that the model
reasonably reproduces the temporal evolution of surface <inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations observed at the six sampling sites. Our analysis of model
simulations, surface <inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be observations, atmospheric soundings of ozone
and temperature and surface ozone measurements indicates that the
<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be peak observed in late February 2003 (between 20 and 28 February 2003) at the six sampling sites in Fennoscandia was associated with downward
transport of stratospheric vortex air that originated during an SSW that occurred
a few days earlier (between 18 and 21 February 2003).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e303">Beryllium-7 (<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be) is a cosmogenic radionuclide widely monitored and
analyzed around the world (e.g., Tositti et al., 2004, 2014; Gourdin et al.,
2014; Sýkora et al., 2017). Due to its relatively long radioactive
half-life (53.22 d) and its cosmogenic origin in the upper troposphere
and lower stratosphere (UT-LS) (Lal and Peters, 1967), <inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be is
considered a tracer for intrusion of stratospheric air into the troposphere
and large-scale subsidence (e.g., Liu et al., 2016; Chae and Kim, 2019;
Heikkila et al., 2008). The variability of the <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity
concentration in surface layers is driven by both static and dynamic
factors, e.g., geographical location of the monitoring sites (e.g.,
Hernández-Ceballos et al., 2015), seasonal atmospheric processes driving
transport of carrier aerosols (Lal and Peters, 1967),
stratosphere–troposphere air mass exchange (Cristofanelli et al., 2003, 2009; Putero et al., 2016; Brattich et al., 2017a),
synoptic influences (Usoskin<?pagebreak page17928?> et al., 2009), downward transport in the
troposphere (Lee et al., 2007), solar activity, and dry and wet deposition
(e.g., Hernández-Ceballos et al., 2015, 2016; Ioannidou and
Papastefanou, 2006).</p>
      <p id="d1e333">The spatial and temporal variability of the <inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface concentrations
in Europe and their relationship with meteorological variables was
previously analyzed in many studies (e.g., Piñero García et al.,
2012; Błażej and Mietelski, 2014). The impact of the 11-year solar
modulation on the <inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations in the air is well established
(e.g., Leppänen et al., 2010). The distinctive spring–summer maximum of
<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations is widely described and mainly linked with the
increased downward transport from the upper troposphere resulting from the
intense convection and higher tropopause height typical of the warm season
(Cristofanelli et al., 2006; Gerasopoulos et al., 2001, 2003). In addition,
cases of high <inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface concentration, some of which occurred over
the autumn–winter season, have been analyzed in Europe, e.g., over the
Iberian Peninsula (Hernández-Ceballos et al., 2017) and at high-altitude
stations in the Alps and the Apennines (Brattich et al., 2017a, b; Cristofanelli
et al., 2006, 2009). The spring–summer maximum was originally observed with
fission products injected into the stratosphere during atmospheric nuclear
tests (Dutkiewicz and Husain, 1985; Cristofanelli et al., 2018). A recent
study by Salminen-Paatero et al. (2019), who used potential vorticity
analysis to gain insights into stratosphere-to-troposphere transport of
radionuclides at Rovaniemi (Finnish Lapland) indicated that the transfer of
stratospheric air into the upper troposphere was at its maximum in March
followed by descent to the ground level during late spring and early
summer.</p>
      <p id="d1e372">Further, over the last decade many studies have investigated the <inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
records in northern Europe (Leppänen et al., 2010, 2012; Leppänen
and Paatero, 2013; Sarvan et al., 2017; Leppänen, 2019), one of the
three regions in Europe identified with a distinct <inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be behavior in the
surface air (Ajtić et al., 2016, 2017; Hernández-Ceballos et al.,
2015, 2016). Among these studies, Ajtić et al. (2016) analyzed the
<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration measured in Helsinki, Finland, over 25 years
(1987–2011) and pointed out a relatively high number of <inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be extremes
occurring over autumn and winter: more specifically, 10 % of the highest
<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations (above the 90th percentile) were observed in the
cold season (October-March). Furthermore, recent studies have also indicated
that the polar vortices can have a notable influence on the wintertime
<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface concentrations in both the Northern (Ajtić et al.,
2018; Bianchi et al., 2019; Terzi and Kalinowski, 2017) and the Southern
Hemisphere (Pacini et al., 2015).</p>
      <p id="d1e430">In particular, Ajtić et al. (2018) and Bianchi et al. (2019) employed
two different methodologies to identify episodes of extremely high <inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
surface concentrations in autumn and winter, pointing out a large number of
cases over the October–March period of the years investigated. The
comparison of the dates identified in both analyses showed an overlap with
the events of the so-called sudden stratospheric warming (SSW) of the Arctic
vortex, i.e., a sudden rise in the polar temperatures that leads to a highly
irregular shape of the vortex and its misalignment from the pole. Ajtić
et al. (2018) also noted cases of extremely high <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations
occurring right after a very low <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration over the
Fennoscandian Peninsula during autumn and winter. Overall, this relationship
between the SSW of the Arctic vortex and high <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface concentrations
is likely linked to the perturbed stratosphere–troposphere interactions
associated with SSW events, which could favor a fast descent of (1) midlatitude
air rich in <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be, thus increasing this radionuclide's surface abundance,
and (2) aged vortex air wherein <inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be is subjected to radioactive decay
and not transported from outside the vortex, thus decreasing the <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
surface abundance.</p>
      <?pagebreak page17929?><p id="d1e498">The atmospheric circulation in the Arctic is dominated by the presence of
two distinct polar vortices, one in the troposphere and one in the
stratosphere (Waugh et al., 2017). The two vortices present well-defined
features: first, the vortex in the troposphere is much more extended than
the stratospheric one, and second, while the tropospheric vortex is present
all-year round, the stratospheric polar vortex exists only from fall to
spring (Waugh et al., 2017). The stratospheric polar vortex in winter stems
from the large-scale temperature gradients between the midlatitudes and the
poles. Therefore, the stratospheric polar vortex begins to form in autumn as
a result of the decreasing solar heating in the polar regions; it
strengthens during winter and then breaks down in spring when solar
radiation returns to the polar region. Larger topographic and land–sea
contrasts and the resulting stronger upward-propagating waves in the
Northern Hemisphere make the northern stratospheric vortex, or the Arctic
vortex, weaker and more distorted than its Southern Hemisphere counterpart,
the Antarctic vortex. SSW, a major mode of the temporal variability of the
Arctic vortex, is the strongest manifestation of the coupling of the
stratosphere–troposphere system, with influence on the tropospheric flow
lasting for many weeks (Charlton and Polvani, 2007) and with significant
effects on chemical composition in the middle atmosphere (Sofieva et al.,
2012; Tao et al., 2015). While major SSW, the so-called vortex split
(Charlton and Polvani, 2007; Charlton et al., 2007), can even cause the
stratospheric vortex to break down during midwinter (Waugh et al., 2017),
vortex displacements are instead characterized by a shift of the polar
vortex off the pole and its subsequent distortion into a “comma shape”
during the extrusion of a vortex filament (Charlton and Polvani, 2007;
Charlton et al., 2007). Previous works suggested that the occurrence of SSW events
is capable of greatly perturbing the polar vortex and hence the stratospheric
potential vorticity (PV) distribution (e.g., Matthewman et al., 2009) and
the vertical distribution of ozone (e.g., Sonneman et al., 2006; Madhu,
2016). Additionally, the meteorological conditions associated with SSW events in
the Arctic have been linked with the occurrences of <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be winter
extremes, especially in the presence of a very high Scandinavian
teleconnection index (Ajtic et al., 2018).</p>
      <p id="d1e510">While the initial scientific interest over the stratospheric polar vortex
was especially linked to the stratospheric ozone loss over the poles, it is
now recognized that the vortices might affect the processes in the
troposphere and surface weather (e.g., Mitchell et al., 2013). The present
work aims to investigate in detail the atmospheric processes responsible
for high <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activities recorded in the cold season over the
Fennoscandian Peninsula and its relationship with the Arctic polar vortex
through model simulations. For this purpose, we conduct <inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be simulations
for the period of January–March 2003 using the GEOS-Chem global 3-D chemical
and transport (CTM) model. The period was selected because of the large
number of events with extremely high <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations at the surface in
Fennoscandia; some of these events were preceded by very low surface
concentrations in the lower troposphere (<inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 10th percentile).
This period thus offers the opportunity to test the hypothesis that SSW events
facilitate a fast descent of not only the midlatitude but also vortex air
(Ajtić et al., 2018). To achieve this goal, our analysis will therefore
focus on the following:
<list list-type="bullet"><list-item>
      <p id="d1e549">investigating the processes responsible for the variability of <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations in surface air in northern Europe;</p></list-item><list-item>
      <p id="d1e562">better understanding whether and how SSW and the Arctic vortex wintertime
instability influence the surface concentrations of <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be in northern
Europe;</p></list-item><list-item>
      <p id="d1e575">quantifying the rate of air subsidence on the inner and outer side of the
vortex during the period of its instability.</p></list-item></list>
To analyze the influence of SSW and of the Arctic polar vortex on <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations, we first assess the performance of the GEOS-Chem model in
reproducing the observed <inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variability. We then use model simulations
together with other supporting measurements from soundings and
meteorological datasets to examine the processes responsible for the
variability in the <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations over the period of January–March
2003.</p>
      <p id="d1e607">As opposed to the cosmogenic origin of <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be, <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb (half-life 22.3
years) is a nuclide of crustal origin derived from decay of <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn
(half-life 3.8 d), which is emitted from soils by decay of <inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">226</mml:mn></mml:msup></mml:math></inline-formula>Ra.
Owing to the contrasting natural origins of the two nuclides, the
<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M46" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio is often regarded as indicative of vertical
transport processes and convective activity in the atmosphere (e.g., Koch et
al., 1996; Tositti et al., 2004; Brattich et al., 2017a, b). After being
produced by contrasting physical mechanisms, both <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb
rapidly attach to ambient submicron-sized particles (e.g., Gaffney et al.,
2004) and are removed by wet (mainly) and dry (secondarily) deposition
processes of their carrier aerosol. The bias in the simulated
<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M51" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio due to uncertainties in the model deposition
schemes is thus reduced. For this reason, besides <inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be, the
<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M55" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio was also analyzed to gain further insights into
vertical transport processes during the study period.</p>
      <p id="d1e750">The rest of this paper is organized as follows. Section 2 describes the
radioactivity (<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb) and meteorological data used.
Section 3 provides a brief description of GEOS-Chem, the HYSPLIT trajectory
model, and statistical parameters used to assess the model's performance in
reproducing the observations. Section 4 presents an overview of the <inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
observations made in northern Europe in the boreal winter 2003. Section 4
presents and discusses the main results of this work. Specifically, Sect. 4.1 analyzes the precipitation and transport pattern in the study region,
while Sect. 4.2 assesses how well the GEOS-Chem model performs in
reproducing the observed variability in the monthly mean surface <inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations during the study period. Section 4.3 further evaluates the
performance of the model in reproducing the short-time variability of
<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be in northern Europe, followed by an interpretation of the observed
variability using model simulations and additional meteorological and ozone
observations in Sect. 4.4. Finally, summary and conclusions are given in
Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data</title>
      <p id="d1e806">In this section we briefly describe the <inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb
radioactivity data as well as the meteorological datasets analyzed in this
work.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><?xmltex \opttitle{${}^{{7}}$Be data}?><title><inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be data</title>
      <p id="d1e843">Since 1988, the Radioactivity Environmental Monitoring data bank (REMdb)
(<uri>https://data.jrc.ec.europa.eu/collection/id-0117</uri>, last access: 23 November 2021) has brought together and stored in a
harmonized way environmental radioactivity data (air, water, milk and mixed
diet) measured by the European Union member states (Sangiorgi et al., 2019). Among
the set of sample types and measurements recommended in 2000/473/Euratom
(European Commission, 2000), measurements of natural radioelements, such as
<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be in surface air, are required, and hence, it is very closely
monitored and widely stored in the REMdb (De Cort et al., 2007).</p>
      <?pagebreak page17930?><p id="d1e858">Within the REMdb, the activity concentration of <inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be in the surface air
in northern Europe (latitude north of 55<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) is available for six
surface sampling sites (Hernández-Ceballos et al., 2015), all located at
elevations ranging from 9 to 130 m a.s.l.: Ivalo, Umeå, Helsinki, Kista,
Harku and Risø, however, with varying start dates and sampling
frequencies (Fig. 1a). The largest dataset is for Helsinki where, since
1999, the sampling has been performed daily or once every 2 d. Datasets
for Ivalo, Umeå, Kista and Risø also span more than two decades and
have a good temporal coverage (roughly once a week since 1995). In
particular, <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity concentrations were obtained by
gamma-spectrometry analysis performed by the European Union Competent
Authorities. Aerosol samples were collected on filter papers using air
samplers with a flow rate of several hundred cubic meters per day, and then
their radioactivity concentrations were analyzed in laboratories.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><?xmltex \opttitle{${}^{{210}}$Pb data}?><title><inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb data</title>
      <p id="d1e905">Daily aerosol samples were collected in Helsinki on the roof of the Finnish
Meteorological Institute's main building (60<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>10<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 24<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>57<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E). Filters (Munktell MGA, diameter Ø <inline-formula><mml:math id="M74" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 240 mm) were changed every
day at 06:00 UTC. The air volume was about 3500 m<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> d<inline-formula><mml:math id="M76" 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
filters were assayed for <inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb by alpha counting of the in-grown
daughter nuclide <inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Po (Mattsson et al., 1996).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Meteorological and ozone data</title>
      <p id="d1e999">The <inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variability is tightly linked to horizontal and vertical
transport of the carrier aerosol, and to precipitation that leads to the
radionuclide's removal from the atmosphere. Here we used the Modern-Era
Retrospective analysis for Research and Applications, Version 2 (MERRA-2)
meteorological reanalysis (Gelaro et al., 2017) to assist in the data
analysis and to drive the GEOS-Chem model simulations. MERRA-2 is produced
with version 5.12.4 of the Goddard Earth Observing System (GEOS) atmospheric
data assimilation system. It assimilates modern observations of the
atmosphere, ocean, land and chemistry and includes assimilation of aerosol
remote sensing data.</p>
      <p id="d1e1011">Vertical soundings of air temperature from the Finnish Meteorological
Institute's (FMI) Arctic Space Centre (<uri>http://fmiarc.fmi.fi</uri>, last access: 23 November 2021) at
Sodankylä, northern Finland (67.37<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 26.63<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)
were obtained from the University of Wyoming
(<uri>http://weather.uwyo.edu/upperair/sounding.html</uri>, last access: 23 November 2021). To study the effect of
downward transport of stratospheric air masses into the troposphere,
potential vorticity (PV) values (Holton et al., 1995) were calculated from
ERA-Interim wind, temperature, and surface pressure fields (Dee et al.,
2011) obtained from the European Centre for Medium-Range Weather Forecasts
(ECMWF), Reading, UK.</p>
      <p id="d1e1038">Ozone sounding data (Kivi et al., 2007; Denton et al., 2019) was retrieved
from the database of the FMI's Arctic Space Centre (<uri>http://litdb.fmi.fi</uri>, last access: 23 November 2021).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1047"><bold>(a)</bold> Location of the <inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be sampling sites in northern Europe
(source: <uri>https://mapamundiparaimprimir.com/europa/</uri>); <bold>(b)</bold> <inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations measured at six surface sampling sites in northern Europe
during the 2002–2003 boreal winter. Dashed lines indicate the 90th
percentile reference line for each sampling site.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1084">Comparison of the MERRA-2 total precipitation during January–March
2003 with the GPCP observations. The black dots indicate the locations of
the sampling sites: 1 <inline-formula><mml:math id="M84" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ivalo, 2 <inline-formula><mml:math id="M85" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Umeå, 3 <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Helsinki, 4 <inline-formula><mml:math id="M87" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Kista,
5 <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Harku, 6 <inline-formula><mml:math id="M89" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Risø.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d1e1145">In this section we give a brief description of the GEOS-Chem and HYSPLIT
models and the statistical parameters used to indicate the model
performances.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>GEOS-Chem model</title>
      <p id="d1e1155">GEOS-Chem (<uri>http://www.geos-chem.org</uri>, last access: 23 November 2021) is a global 3-D CTM that has been
widely used to study atmospheric composition and processes (e.g., Bey et
al., 2001; Park et al., 2004; Eastham et al., 2014). In this study, we use
the GEOS-Chem v11-01f to simulate <inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb and assist in
interpreting the observations. GEOS-Chem includes a radionuclide simulation
option (<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn-<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb-<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be), which simulates the emission,
transport (advection, convection, boundary layer mixing), deposition and
decay of the radionuclide tracers (Jacob et al., 1997; Liu et al., 2001; Yu
et al., 2018).</p>
      <p id="d1e1207">We used the <inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be production rates recommended by Lal and Peters (1967)
for a maximum solar activity year (1958), which has been shown to produce
the best results compared to aircraft <inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be observations in the
stratosphere where <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations mainly result from a balance
between production and radioactive decay, and their observations can be used
as a constraint on the <inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be source (Koch et al., 1996; Liu et al.,
2001). In this work, the production rates of Lal and Peters (1967) are
formulated as a function of latitude and pressure without seasonal variation
(Koch et al., 1996). About two-thirds of atmospheric <inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be is generated
in the stratosphere. While there are more accurate modern models (e.g.,
Masarik and Beer, 1999; Webber et al., 2007; Usoskin and Kovaltsov, 2008;
Poluianov et al., 2016), the use of the Lal and Peters production rates is
sufficient for this study where we mainly focus on atmospheric transport
features. Although the Lal and Peters sources are used here for temporal
variability studies, they are not applicable for quantitative studies of the
<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activities (e.g., Golubenko et al., 2021)</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1267">Simulated monthly mean <inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface concentrations (mBq m<inline-formula><mml:math id="M102" 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>), <inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M104" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio and fraction of stratospheric <inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
for January–March 2003. Arrows represent winds in the MERRA-2 reanalysis.
The dots indicate the locations of the sampling sites: 1 <inline-formula><mml:math id="M107" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ivalo,
2 <inline-formula><mml:math id="M108" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Umeå, 3 <inline-formula><mml:math id="M109" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Helsinki, 4 <inline-formula><mml:math id="M110" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Kista, 5 <inline-formula><mml:math id="M111" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Harku, 6 <inline-formula><mml:math id="M112" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Risø.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f03.png"/>

        </fig>

      <p id="d1e1376"><inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn emission follows a recent work by Zhang et al. (2021), in which a
customized emission map was built upon a few previously published emission
scenarios and evaluated against global <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn surface observations and
aircraft profiles. <inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn emission flux rate is a function of latitude,
longitude and month. <inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb are assumed to behave like
aerosols once formed in the atmosphere and subject to dry and wet deposition
(Liu et al., 2001). Both wet and dry deposition for <inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">222</mml:mn></mml:msup></mml:math></inline-formula>Rn are neglected
due to its inert nature.</p>
      <p id="d1e1432">GEOS-Chem simulations in this work are driven by the MERRA-2 meteorological
reanalysis. The native resolution of MERRA-2 is 0.667<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude
by 0.5<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude, with 72 vertical layers (top at 0.01 hPa). The
meteorological fields are regridded into 2.5<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by
2<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude for the GEOS-Chem simulations in this work. GEOS-Chem
uses the TPCORE advection algorithm of Lin and Rood (1996). Convective
transport is calculated using archived convective mass fluxes (Wu et al.,
2007). Boundary-layer mixing is based on the non-local scheme implemented by
Lin and McElroy (2010). The wet deposition scheme follows that of Liu et al. (2001) and includes rainout (in-cloud scavenging) due to stratiform and
anvil precipitation, scavenging in convective updrafts (Mari et al., 2000),
and washout (below-cloud<?pagebreak page17931?> scavenging) by precipitation (Wang et al., 2011).
Precipitation formation and evaporation fields are archived in MERRA-2 and
used directly by the model wet deposition scheme. Dry deposition is based on
the resistance-in-series scheme of Wesely (1989).</p>
      <p id="d1e1471">In addition to the standard model simulations of <inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb, we
separately transport <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be produced in the model layers above the MERRA-2
thermal tropopause (i.e., stratospheric <inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be tracer) to quantify the
stratospheric contribution to <inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be in the troposphere. This approach was
previously used by Liu et al. (2001, 2016). Stratospheric fraction of
<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be is defined as the ratio of the stratospheric <inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be tracer
concentration to the <inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration from the standard simulation.
All model simulations are conducted for the period of January 2002–March
2003 with initial conditions from a previous 5-year simulation. Hourly
and monthly mean outputs for January–March 2003 are used for analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1549">Scatter plots of <bold>(a)</bold> simulated vs. observed <inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be monthly means
at the six sampling sites and <bold>(b)</bold> simulated vs. observed <inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be weekly (daily
in the case of Helsinki) means at the six sampling sites. Also shown are the
linear regression line and the 95 % confidence and prediction bands around
the linear fit.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>HYSPLIT</title>
      <p id="d1e1590">The Hybrid Single Particle Lagrangian Integrated Trajectory (HYSPLIT) model,
developed by the NOAA's Air Resources Laboratory (ARL) (Stein et al., 2015),
was used to calculate a set of backward trajectories during the study
period. To compute the 96 h 3-D backward trajectories at 00:00, 06:00, 12:00 and 18:00 UTC and with different ending heights, 100, 500, 1000 and 1500 m above
ground level, the NCEP (National Centers for Environmental Prediction) FNL
Operational Global Analysis (NCEP/NWS/NOAA/U.S. Department of Commerce,
2000) meteorological files were used. Computation used the vertical velocity
(<inline-formula><mml:math id="M133" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>, m/s) field contained in the meteorological input file. While 96 h was
considered a sufficiently long period to represent the synoptic air flows, the
heights were selected to help us to understand the behavior of the airflows
circulating in the atmospheric<?pagebreak page17932?> boundary layer (ABL), just above the ABL and
in the free troposphere. We used the cluster methodology implemented in the
HYSPLIT model to group the calculated trajectories according to their length
and curvature and thus identify the airflow patterns over the whole period
of the analysis (Hernández-Ceballos et al., 2013; Brattich et al.,
2016). It is worth mentioning that clusters, as well as trajectories,
indicate an estimation of the general airflow rather than the exact pathway
of an air parcel (e.g., Jorba et al., 2004; Salvador et al., 2008).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1602">Temporal evolution of simulated and observed <inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be surface
concentrations at the six sampling sites. Values are weekly (daily in the
case of Helsinki) means.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1622">Temporal evolution of the simulated <bold>(a)</bold> <inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M136" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb and <bold>(b)</bold>
fraction of stratospheric <inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be (calculated as the ratio between the
stratospheric <inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and the total <inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations, in percentage)
at the six sampling sites during January–March 2003. Values are weekly
means.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Evaluation of the model output</title>
      <p id="d1e1698">The performance of the model in reproducing observed activity concentrations
was evaluated by calculating some basic statistical parameters, such as the
mean and standard deviation and other indicators, according to the
methodology developed by Hanna (1993) and summarized later by Chang and
Hanna (2004). Specifically, the performance of the CTM was evaluated using
the following set of indicators, proposed by Carruthers et al. (2000):</p>
      <p id="d1e1701"><list list-type="bullet">
            <list-item>

      <p id="d1e1706">The mean bias (MB), a measure of the mean difference between the modeled and
observed concentrations:
                  <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M141" display="block"><mml:mrow><mml:mi mathvariant="normal">MB</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
                where <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is modeled concentration and <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is observed concentration.</p>
            </list-item>
            <list-item>

      <p id="d1e1762">The normalized mean square error (NMSE), a measure of the mean difference
between matched pairs of modeled and observed concentrations:
                  <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M144" display="block"><mml:mrow><mml:mi mathvariant="normal">NMSE</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mover accent="true"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
            </list-item>
            <list-item>

      <p id="d1e1818">The fraction of modeled concentrations within a factor of 2 of observations
(FA2), i.e., for which <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
            </list-item>
            <list-item>

      <p id="d1e1850">The Pearson's correlation coefficient (<inline-formula><mml:math id="M146" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), a measure of the extent of a
linear relationship between the modeled and observed concentrations:
                  <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M147" display="block"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">o</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow><mml:msqrt><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">o</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
            </list-item>
          </list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2018">Vertical profiles of air temperature in the MERRA-2 reanalysis
(dotted line) and in the soundings at the Sodankylä station in Finland
on selected days of low <inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values (<bold>a, b</bold>: 10 and 16 February 2003, 00:00 UTC), transition to high <inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values (<bold>c, d</bold>: 20 February 2003, 00:00 UTC
and 21 February 2003, 12:00 UTC) and high <inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values (<bold>e, f</bold>: 22 and 24
February 2003, 00:00 UTC) at the six sampling sites in northern Europe.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f07.png"/>

        </fig>

      <p id="d1e2065">Additionally, the statistical significance of the Pearson's correlation
coefficient and the <inline-formula><mml:math id="M151" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> test were also evaluated to identify the presence of
statistically significant differences between observed and simulated
concentrations. A perfect model has MB and NMSE values equal to 0 and FA2 value equal
to 1, while the <inline-formula><mml:math id="M152" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> results range from <inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 (perfect negative relationship) to
<inline-formula><mml:math id="M154" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 (perfect positive relationship), where 0 implies no relationship
between the variables. To better understand the quantitative differences
between observations and simulations, scatter plots were used.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page17934?><sec id="Ch1.S4">
  <label>4</label><title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Boreal winter 2002–2003</title>
      <p id="d1e2113">As indicated by Ajtić et al. (2018) and Bianchi et al. (2019), the
winter of 2003 offers a good opportunity to investigate a possible link
between SSW events and extreme surface concentrations of <inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be detected in
northern Europe. This period is sufficiently covered by the <inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
activity concentration measurements at all six monitoring sites.</p>
      <p id="d1e2134">In particular, very high <inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity concentrations, above the
90th percentile (calculated over the 1995–2011 period) simultaneously
at most of the Fennoscandian Peninsula sampling sites, were recorded around
23–24 February 2003 (Ajtić et al., 2016, 2018) (Fig. 1b). During the
2002–2003 boreal winter, the Arctic vortex was relatively unstable, with six
SSW events taking place over the whole season (Peters et al., 2010). Two very
pronounced episodes, which were both associated with the vortex splitting
and fast SSW recovery, occurred in January and February, respectively
(Günther et al., 2008). The evolution of the vortex caused vortex
filamentation and vigorous mixing of the vortex and midlatitude
stratospheric air (Günther et al., 2008; Müller et al., 2003).
Several<?pagebreak page17935?> balloon flights inside the Arctic polar vortex in early 2003
observed unusual trace gas distributions connected to an intrusion of
mesospheric air down to altitudes of about 25 km (Engel et al., 2006; Huret
et al., 2006; Müller et al., 2007). Such disturbances around the pole
are expected to affect the troposphere, i.e., weather conditions (Baldwin
and Dunkerton, 2001), and air chemical composition (Hsu, 1980; Limpasuvan et
al., 2004). Hence, the high <inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations that were measured in
Fennoscandia around 24 February 2003 could be a result of downward motion of
midlatitude stratospheric air. Interestingly, prior to this episode, very
low (below the 10th percentile for each site) surface concentrations of
<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be were measured in Risø, Kista and Ivalo on 3, 10 and 16 February
2003, respectively (Fig. 1). These low values were tentatively linked by
Ajtic et al. (2018) with the transport of aged stratospheric vortex air poor
in <inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be, even though they are more likely related to precipitation
scavenging that occurred in the days before, as shown by the ECA&amp;D (European
Climate Assessment &amp; Dataset, <uri>https://www.ecad.eu/</uri>, last access: 23 November 2021) records. The reader
is referred to Ajtić et al. (2018) for more details.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Analysis of winter precipitation and transport in the
Fennoscandian Peninsula: observations vs. model simulations</title>
      <p id="d1e2184">Before analyzing the temporal pattern of simulated <inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations,
we analyzed the precipitation and transport pattern in the MERRA-2
meteorological dataset that drives the GEOS-Chem simulations. In particular,
the MERRA-2 precipitation was evaluated against the data from Global
Precipitation Climatology Project (GPCP) v2.2
(<uri>https://rda.ucar.edu/datasets/ds728.2/</uri>, last access: 23 November 2021) satellite and surface observations
in winter 2003 (Adler et al., 2003).</p>
      <p id="d1e2199">Figure 2 shows the MERRA-2 and GPCP monthly precipitation in winter for the
region within 0–90<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 90<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W–90<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. Good
agreement is found between the MERRA-2 and the GPCP precipitations averaged
over the region. Specifically, the geographical distribution of
precipitation in MERRA-2 shows some important features that are consistent
with the observed climatology precipitations: the desert climate in northern
Africa with very low precipitation<?pagebreak page17936?> throughout the period, high precipitation
over the North Atlantic region during winter and the seasonal pattern of precipitation in Europe which is similar to that in the North Atlantic region.</p>
      <p id="d1e2229">To assess the capability of the model to correctly capture the trend in
precipitation during the observation period at the sampling sites, we
examined the normalized differences between the MERRA-2 and the observed
precipitation, calculated as a difference between the MERRA-2 and the
observed values, normalized over the observed value (Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2236">Normalized differences between the MERRA-2 and observed
precipitation, calculated as differences between the MERRA-2 and the
observed values, normalized over the observed value, at each sampling site (left).
Positive values indicate that the model tends to overestimate observations
while the negative ones indicate underestimation. Statistical
parameters (mean <inline-formula><mml:math id="M165" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD <inline-formula><mml:math id="M166" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean <inline-formula><mml:math id="M167" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation; MB <inline-formula><mml:math id="M168" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean
bias; NMSE <inline-formula><mml:math id="M169" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> normalized mean square error; <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> correlation coefficient; FA2 <inline-formula><mml:math id="M171" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> factor of 2) indicating the model performance in reproducing
GPCP monthly accumulated precipitation at the six sampling sites in northern
Europe (right).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Normalized differences </oasis:entry>
         <oasis:entry namest="col5" nameend="col10" align="center">Statistical parameters </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Sampling</oasis:entry>
         <oasis:entry colname="col2">Jan</oasis:entry>
         <oasis:entry colname="col3">Feb</oasis:entry>
         <oasis:entry colname="col4">Mar</oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Mean <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD (mm) </oasis:entry>
         <oasis:entry colname="col7">MB (mm)</oasis:entry>
         <oasis:entry colname="col8">NMSE</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M173" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">FA2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site</oasis:entry>
         <oasis:entry colname="col2">2003</oasis:entry>
         <oasis:entry colname="col3">2003</oasis:entry>
         <oasis:entry colname="col4">2003</oasis:entry>
         <oasis:entry colname="col5">MERRA-2</oasis:entry>
         <oasis:entry colname="col6">GPCP</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ivalo</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">1.25</oasis:entry>
         <oasis:entry colname="col5">2.23 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.67</oasis:entry>
         <oasis:entry colname="col6">1.48 <inline-formula><mml:math id="M176" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.43</oasis:entry>
         <oasis:entry colname="col7">0.75</oasis:entry>
         <oasis:entry colname="col8">0.34</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.32</oasis:entry>
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Umeå</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">0.08</oasis:entry>
         <oasis:entry colname="col5">1.53 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.86</oasis:entry>
         <oasis:entry colname="col6">1.53 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.94</oasis:entry>
         <oasis:entry colname="col7">0.02</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">1.00</oasis:entry>
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">1.23 <inline-formula><mml:math id="M183" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.92</oasis:entry>
         <oasis:entry colname="col6">1.32 <inline-formula><mml:math id="M184" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.03</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col8">0.01</oasis:entry>
         <oasis:entry colname="col9">0.99</oasis:entry>
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kista</oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>
         <oasis:entry colname="col4">1.73</oasis:entry>
         <oasis:entry colname="col5">1.12 <inline-formula><mml:math id="M187" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.92</oasis:entry>
         <oasis:entry colname="col6">0.67 <inline-formula><mml:math id="M188" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46</oasis:entry>
         <oasis:entry colname="col7">0.46</oasis:entry>
         <oasis:entry colname="col8">0.42</oasis:entry>
         <oasis:entry colname="col9">0.88</oasis:entry>
         <oasis:entry colname="col10">0.67</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Harku</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>
         <oasis:entry colname="col3">0.18</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
         <oasis:entry colname="col5">1.23 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.92</oasis:entry>
         <oasis:entry colname="col6">1.42 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.28</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col8">0.05</oasis:entry>
         <oasis:entry colname="col9">1.00</oasis:entry>
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Risø</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>
         <oasis:entry colname="col3">2.45</oasis:entry>
         <oasis:entry colname="col4">1.52</oasis:entry>
         <oasis:entry colname="col5">1.63 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
         <oasis:entry colname="col6">1.05 <inline-formula><mml:math id="M196" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.98</oasis:entry>
         <oasis:entry colname="col7">0.58</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.99</oasis:entry>
         <oasis:entry colname="col10">0.33</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2767">Normalized differences between the simulated and observed
<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be monthly means, calculated as differences between the simulated and
the observed values, normalized over the observed value, at each sampling
site (left). Statistical parameters (mean <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD <inline-formula><mml:math id="M199" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation; MB <inline-formula><mml:math id="M201" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean bias; NMSE <inline-formula><mml:math id="M202" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> normalized mean square error; FA2 <inline-formula><mml:math id="M203" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> factor of 2) indicating the model performance in reproducing observed
<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be monthly means at the six sampling sites in northern Europe and
<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M206" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb and <inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb monthly means in Helsinki (right).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="1.9cm"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="1.9cm"/>
     <oasis:colspec colnum="8" colname="col8" align="justify" colwidth="1cm"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sampling</oasis:entry>
         <oasis:entry colname="col2">Tracer</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">Normalized differences </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col10" align="center">Statistical parameters </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Jan</oasis:entry>
         <oasis:entry colname="col4">Feb</oasis:entry>
         <oasis:entry colname="col5">Mar</oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">Mean <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD </oasis:entry>
         <oasis:entry colname="col8">MB</oasis:entry>
         <oasis:entry colname="col9">NMSE</oasis:entry>
         <oasis:entry colname="col10">FA2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">2003</oasis:entry>
         <oasis:entry colname="col4">2003</oasis:entry>
         <oasis:entry colname="col5">2003</oasis:entry>
         <oasis:entry colname="col6">Modeled</oasis:entry>
         <oasis:entry colname="col7">Observed</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Ivalo</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0.15</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">0.08</oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M211" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">(1.82 <inline-formula><mml:math id="M212" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.49) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M213" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col7">(1.85 <inline-formula><mml:math id="M214" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.78) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M215" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col8"><inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M217" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.07</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Umeå</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M218" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">(1.69 <inline-formula><mml:math id="M221" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.72) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M222" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col7">(1.88 <inline-formula><mml:math id="M223" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.96) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M224" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">1.69 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M225" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.89</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M226" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.31</oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M228" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">(1.58 <inline-formula><mml:math id="M229" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.80) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M230" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col7">(2.30 <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.60) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M232" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">1.57 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M233" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.76</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0.74</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Kista</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M235" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35</oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M236" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.25</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">(1.68 <inline-formula><mml:math id="M237" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.69) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M238" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col7">(2.41 <inline-formula><mml:math id="M239" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.89) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M240" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col8"><inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.73 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M242" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.16</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Harku</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M243" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M244" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13</oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M245" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">(1.61 <inline-formula><mml:math id="M246" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.61) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M247" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col7">(2.16 <inline-formula><mml:math id="M248" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.81) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M249" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col8"><inline-formula><mml:math id="M250" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M251" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.17</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0.93</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Risø</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M252" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.32</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M253" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M254" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08</oasis:entry>
         <oasis:entry colname="col6">(2.08 <inline-formula><mml:math id="M255" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.83) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M256" 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></oasis:entry>
         <oasis:entry colname="col7">(3.31 <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.52) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M258" 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></oasis:entry>
         <oasis:entry colname="col8">2.08 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M259" 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></oasis:entry>
         <oasis:entry colname="col9">0.7</oasis:entry>
         <oasis:entry colname="col10">0.62</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M261" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M263" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M264" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M265" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col6">4.89 <inline-formula><mml:math id="M266" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.57</oasis:entry>
         <oasis:entry colname="col7">10.4 <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.5</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M268" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.04</oasis:entry>
         <oasis:entry colname="col9">0.78</oasis:entry>
         <oasis:entry colname="col10">0.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb</oasis:entry>
         <oasis:entry colname="col3">0.73</oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5">0.66</oasis:entry>
         <oasis:entry colname="col6">(0.48 <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.29) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M271" 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></oasis:entry>
         <oasis:entry colname="col7">(0.36 <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.32) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M273" 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></oasis:entry>
         <oasis:entry colname="col8">0.12 <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M274" 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></oasis:entry>
         <oasis:entry colname="col9">0.3</oasis:entry>
         <oasis:entry colname="col10">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3813"><bold>(a)</bold> Vertical profiles of ozone mixing ratios (ppbv) obtained by
ozone soundings at the Sodankylä Arctic station during 4 different days
in February 2003: 12, 19, 16 and 28 February 2003; <bold>(b)</bold> Daily mean O<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations recorded at ground-based air quality stations located in
Denmark (DK), Finland (FI) and Sweden (SE) during January–March 2003.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f08.png"/>

        </fig>

      <p id="d1e3836">Overall, the MERRA-2 precipitation tends to be higher than that of GPCP at
all sampling sites (Table 1) except for Harku and Helsinki, and especially
in the February–March period. This result is in agreement with the findings
of Gelaro et al. (2017), who compared the global precipitation of MERRA-2 and
GPCP and reported a general positive bias over northern high latitudes.
However, the agreement between MERRA-2 and GPCP precipitation seasonality is
reasonable, as indicated by the correlation coefficient values, higher than
0.85 at all sites except for Ivalo (<inline-formula><mml:math id="M276" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.32), and the low NMSE values, in the
range of 0–0.42 (Table 1). The low negative correlation at Ivalo is due to
the fact that while the GPCP-observed precipitation at this site is similar
between January and February with a general tendency towards lower values
from January to March 2003, the model simulates a decrease from January to
February with a small increase in March. However, the statistical parameters
reported in Table 1 indicate a small overall discrepancy between the GPCP
and MERRA-2 precipitation at all sites.</p>
      <p id="d1e3846">Figure 3 shows that winter circulation in the Fennoscandian Peninsula is
dominated by SW and W winds (Chen, 2000; Linderson, 2001). The analysis of
the main circulation in the 3 months in Fig. 3 reveals low wind speeds
from S–SW in the study area and period. A region of strong wind speeds,
possibly corresponding to the Arctic vortex, is clearly visible at surface
level to the west of the study area in all 3 months. In addition,
there appears to be a convergence area (opposite wind directions) between 60
and 75<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Model-simulated <inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M279" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratios and fraction
of stratospheric <inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be increased over the 3-month period and peaked
in March, suggesting increasing stratospheric influence, subsidence or
convective mixing in the study region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3895">MERRA-2 daily mean relative humidity (colors) and winds (arrows)
at ground level during 18–25 February 2003. The dots indicate the locations
of the sampling sites: 1 <inline-formula><mml:math id="M282" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ivalo, 2 <inline-formula><mml:math id="M283" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Umeå, 3 <inline-formula><mml:math id="M284" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Helsinki, 4 <inline-formula><mml:math id="M285" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Kista,
5 <inline-formula><mml:math id="M286" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Harku, 6 <inline-formula><mml:math id="M287" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Risø.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Variations of the monthly mean surface ${}^{{{7}}}$Be concentrations in the Arctic region: model
simulations vs. observations}?><title>Variations of the monthly mean surface <inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations in the Arctic region: model
simulations vs. observations</title>
      <p id="d1e3965">Figure 4a shows a scatter plot comparing the simulated and observed monthly
mean <inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations at the six sampling sites. Table 2 reports the
statistical parameters and the normalized differences that indicate the
performance of the GEOS-Chem model in reproducing the observed <inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
monthly means.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e3988">Time–height cross sections of calculated daily potential
vorticity during the month of February 2003 at three latitudes: <bold>(a)</bold>
63<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <bold>(b)</bold> 64.5<inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and <bold>(c)</bold> 66<inline-formula><mml:math id="M293" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N along the
21<inline-formula><mml:math id="M294" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridian.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f10.png"/>

        </fig>

      <p id="d1e4043">In general, the model simulates well the month-to-month trend in <inline-formula><mml:math id="M295" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations measured at the sampling sites, as indicated by the fact that
all the values fall within the 95 % confidence levels (Fig. 4a) and the
high positive correlation coefficients (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>) except for Ivalo
and the low MB and NMSE values (Table 2). In fact, the normalized differences are
not very high (generally <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), except at Risø. The bias between
the model and the observations is partly attributed to the coarse horizontal
resolution of the model. Overall, the simulations underestimate the observed
values, likely due to uncertainties associated with the deposition schemes
and/or precipitation as discussed earlier.</p>
      <p id="d1e4076">The use of the <inline-formula><mml:math id="M298" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be production rate of Lal and Peters (1967) for a solar
maximum year (1958) may also partly explain the tendency of simulated
<inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be to be lower than observed. The sunspot number in 2003 (99.3) was
rather low (slowly decreasing from 2000, a solar maximum year, and reaching
minimum in 2008) compared with the value of 184.8 in 1958. As is known, the
galactic cosmic-ray intensity, largely responsible for the production of
cosmogenic radionuclides, at the Earth's orbit is inversely related to solar
activity (Potgieter, 2013), leading to the well-known phase opposition
between sunspot number and <inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration (e.g.,
Hernández-Ceballos et al., 2015). Sunspot number data herein used were
extracted from the World Data Center for the production, preservation and
dissemination of the international sunspot number (Sunspot Index and
Long-term Solar Observation, SILSO, Royal Observatory of Belgium, Brussels, <uri>https://wwwbis.sidc.be/silso/datafiles</uri>, last access: 23 November 2021).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><?xmltex \opttitle{Variations of the ${}^{{7}}$Be weekly and daily mean surface concentrations
in the Arctic region: observations vs. model simulations}?><title>Variations of the <inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be weekly and daily mean surface concentrations
in the Arctic region: observations vs. model simulations</title>
      <p id="d1e4127">After analyzing the model's performance in reproducing <inline-formula><mml:math id="M302" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be monthly mean
observations in the previous section, here we compare the simulated and
observed weekly (daily in the case of Helsinki) <inline-formula><mml:math id="M303" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity
concentrations at the six sampling sites (Fig. 4b). Table 3 shows the
corresponding parameters that indicate the performance of the GEOS-Chem
model in reproducing observations. The weekly evolution of simulated versus
observed <inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations at these sites is shown in Fig. 5.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e4160">Statistical parameters indicating the model performance in
reproducing observed <inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be weekly (daily in the case of Helsinki) means
at the six sampling sites in northern Europe. The asterisk aside the value
of the correlation coefficient and of the <inline-formula><mml:math id="M306" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> indicates that the value is
statistically significant at the 0.05 significance level.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="1.8cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="1.8cm"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sampling</oasis:entry>
         <oasis:entry colname="col2">Tracer</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Mean <inline-formula><mml:math id="M307" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD </oasis:entry>
         <oasis:entry colname="col5">MB</oasis:entry>
         <oasis:entry colname="col6">NMSE</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M308" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">FA2</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M309" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Modeled</oasis:entry>
         <oasis:entry colname="col4">Observed</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Ivalo</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">(1.52 <inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.44) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M312" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">(1.85 <inline-formula><mml:math id="M313" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.78) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M314" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M315" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33 mBq m<inline-formula><mml:math id="M316" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.12</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.73<inline-formula><mml:math id="M317" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">1.00</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M318" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Umeå</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">(1.43 <inline-formula><mml:math id="M319" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.72) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M320" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">(1.88 <inline-formula><mml:math id="M321" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.96) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M322" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M323" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45 mBq m<inline-formula><mml:math id="M324" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.11</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.88<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.92</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">(1.35 <inline-formula><mml:math id="M327" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.83) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M328" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">(2.30 <inline-formula><mml:math id="M329" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.15) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M330" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M331" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.88 mBq m<inline-formula><mml:math id="M332" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.47</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.65<inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.57</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M334" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.69<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Kista</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">(1.43 <inline-formula><mml:math id="M336" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.62) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M337" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">(2.41 <inline-formula><mml:math id="M338" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.89) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M339" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M340" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.98 mBq m<inline-formula><mml:math id="M341" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.30</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.85<inline-formula><mml:math id="M342" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.62</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M343" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.44<inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Harku</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">(1.36 <inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M346" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">(2.16 <inline-formula><mml:math id="M347" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.81) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M348" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M349" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.79 mBq m<inline-formula><mml:math id="M350" 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></oasis:entry>
         <oasis:entry rowsep="1" colname="col6"><inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.68<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.86</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M353" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.09<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Risø</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(1.84 <inline-formula><mml:math id="M355" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.89) <?xmltex \hack{\hfill\break}?>mBq m<inline-formula><mml:math id="M356" 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></oasis:entry>
         <oasis:entry colname="col4">(3.31 <inline-formula><mml:math id="M357" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.52)  mBq m<inline-formula><mml:math id="M358" 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></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M359" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.47 mBq m<inline-formula><mml:math id="M360" 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></oasis:entry>
         <oasis:entry colname="col6">0.77</oasis:entry>
         <oasis:entry colname="col7">0.19</oasis:entry>
         <oasis:entry colname="col8">0.38</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M361" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.68<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Helsinki</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M364" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb</oasis:entry>
         <oasis:entry colname="col3">4.86 <inline-formula><mml:math id="M366" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.96</oasis:entry>
         <oasis:entry colname="col4">10.3 <inline-formula><mml:math id="M367" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M368" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.06</oasis:entry>
         <oasis:entry colname="col6">0.85</oasis:entry>
         <oasis:entry colname="col7">0.77<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">0.43</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M370" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e5016">Time–height cross sections of simulated hourly <inline-formula><mml:math id="M371" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations (mBq SCM<inline-formula><mml:math id="M372" 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> where SCM stands for standard cubic meter)
during the month of February 2003 at the six sampling sites.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f11.png"/>

        </fig>

      <?pagebreak page17937?><p id="d1e5046">As with the monthly means, the model generally represents adequately the
temporal pattern but not the magnitude of weekly mean concentrations, which
tend to be lower than those observed (Table 3, Figs. 4b and 5). This bias
can arise from the higher precipitation in the model than in the
observations and/or from errors in the deposition schemes. However, the
correct reproduction of the <inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be temporal pattern, as indicated by the
high correlation values at all sampling sites with the exception of Risø,
suggests that the model captures the transport processes leading to the peak
in <inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations at the end of February 2003 and the preceding
very low concentration values. In addition, the low MB and NMSE values calculated
at all sites and especially at Ivalo and Umeå suggest that the model
reproduces adequately the observed values (Fig. 5). The significance of
the <inline-formula><mml:math id="M375" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> test for the differences between mean observed and simulated values
indicates the presence of statistically significant differences, reflecting
the model's general tendency to underestimate observations.</p>
      <p id="d1e5074">As for the <inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M377" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio in Helsinki (Table 3), the model tends
to underestimate the observed ratio, which could be due to the model
underestimating <inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and overestimating <inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb. Nevertheless, the
relatively high correlation between the simulated and observed ratios
suggests a reasonable simulation of the temporal pattern of this tracer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e5122">Time–height cross sections of MERRA-2 3-hourly average vertical
pressure velocity (omega, in Pa s<inline-formula><mml:math id="M381" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) during the month of February 2003
sampled at the six sampling sites. Red color indicates large positive omega
values, corresponding to a descending motion, whereas blue color stands for
large negative omega values, corresponding to a rising motion. Black lines
are contours of omega values.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f12.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><?xmltex \opttitle{Understanding the ${}^{{{7}}}$Be variations during
the 2002--2003 boreal winter}?><title>Understanding the <inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variations during
the 2002–2003 boreal winter</title>
      <p id="d1e5162">As mentioned earlier (Sect. 4.1), an SSW event occurred at the end of
February 2003. We concentrated our analysis on two different periods during
the month: early in the month, between 3 and 16 February when very low
<inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration values were recorded, and at the end of the month
between 20 and 28 February characterized by extremely high <inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations. To gain further insights into the <inline-formula><mml:math id="M385" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variations during
the 2002–2003 boreal winter (Sect. 4.1), we analyzed the simulated
<inline-formula><mml:math id="M386" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M387" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio, maps of surface winds and relative humidity,
ozone soundings, and vertical cross sections of simulated <inline-formula><mml:math id="M389" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity
concentrations and calculated potential vorticity, and simulated and
observed vertical<?pagebreak page17939?> profiles of air temperature. The results were further
supported with the analysis of the clusters of back-trajectories during the
two different periods of low and high <inline-formula><mml:math id="M390" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations.</p>
      <p id="d1e5236">Figure 6 presents the temporal (weekly mean) pattern of
<inline-formula><mml:math id="M391" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M392" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M393" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb and of the stratospheric fraction of <inline-formula><mml:math id="M394" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
(calculated as the ratio of the stratospheric <inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be tracer concentration
to the total <inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentration in the troposphere) at the six sampling
sites, while daily observations of the <inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M398" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio at Helsinki
and Sodankylä (67.367<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 26.629<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 160 km south of
Ivalo) are presented in the Supplement (hereafter SI). At the
beginning of February, the ratio was generally quite low at all the sites.
In contrast, the week of 19–26 February 2003 was marked by an evident peak
in the <inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M403" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio and a simultaneous increase in the fraction
of <inline-formula><mml:math id="M405" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be originating in the stratosphere at all sites, which together
could be the first indication of a prominent vertical transport from the
UT-LS region. The low <inline-formula><mml:math id="M406" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M407" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio at Risø results from the
simultaneous increase in both <inline-formula><mml:math id="M409" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M410" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb concentrations,
together with the delayed stratospheric influence at this site as evidenced
by the pattern of the stratospheric <inline-formula><mml:math id="M411" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be fraction (Fig. 6b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e5425">MERRA-2 daily mean vertical pressure velocity (omega) at 940 hPa
during 18–25 February 2003. The dots indicate the locations of the sampling
sites: 1 <inline-formula><mml:math id="M412" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ivalo, 2 <inline-formula><mml:math id="M413" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Umeå, 3 <inline-formula><mml:math id="M414" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Helsinki, 4 <inline-formula><mml:math id="M415" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Kista, 5 <inline-formula><mml:math id="M416" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Harku,
6 <inline-formula><mml:math id="M417" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Risø.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f13.png"/>

        </fig>

      <p id="d1e5478">Hence, we further examined the vertical profiles of temperature with an aim
to identify differences in vertical transport near the beginning and end of
February. The soundings from the Sodankylä station in the Arctic offer
three sets of measurements for each of the investigated periods: on 10<?pagebreak page17940?> and
16 February, which fall into the period when very low <inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations
were recorded in Kista and Ivalo, respectively; 22 and 24 February, the
days marked by extremely high <inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations over the Fennoscandian
Peninsula; and 20 and 21 February in the period of transition to high <inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentration over the Fennoscandian Peninsula. Figure 7 shows air
temperature profiles in the MERRA-2 dataset and atmospheric soundings at the
Sodankylä station. Besides the very good agreement between the MERRA-2
and observed temperatures, a warming of the stratosphere (20–60 km) and a
different vertical temperature structure of the lower stratosphere around
20–24 February as compared to the 10 and 16 February profiles are also
evident. The observation of the increase in stratospheric temperatures
suggests the link between the SSW and the <inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be peak observed at the six
sampling sites located in northern Europe. In addition, the ozone soundings
at the Sodankylä station reveal an ozone mixing ratio peak in the lower
troposphere (<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>–3 km) on 19 February 2003 as compared
to those observed during 12, 26 and 28 February 2003 (Fig. 8a), consistent
with downward transport from higher altitudes around that day. Despite the
chemical ozone loss in the Arctic vortex in the stratosphere in 2003 as
observed by ozone soundings (Tilmes et al., 2006), obviously
lower-stratospheric ozone was still enhanced relative to tropospheric ozone.
In addition, average O<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> values recorded at surface air quality stations
located in Denmark, Finland and Sweden, which are available through the
saqgetr R package (Grange, 2019), show enhanced O<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in
late February 2003, consistent with the aforementioned peaks in the
<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M426" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio as well as stratospheric <inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be fraction. This
further suggests the transport of stratospheric air masses to the surface.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e5582">Simulated daily mean fraction of <inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be originating in the
stratosphere (%) at 940 hPa. The dots indicate the locations of the
sampling sites: 1 <inline-formula><mml:math id="M430" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ivalo, 2 <inline-formula><mml:math id="M431" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Umeå, 3 <inline-formula><mml:math id="M432" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Helsinki, 4 <inline-formula><mml:math id="M433" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Kista, 5 <inline-formula><mml:math id="M434" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Harku,
6 <inline-formula><mml:math id="M435" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Risø.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f14.png"/>

        </fig>

      <p id="d1e5643">Simultaneously, the analysis of maps of surface transport and relative
humidity (Fig. 9) highlights the different winds and relative humidity
values in the two periods, with low relative humidity values
(<inline-formula><mml:math id="M436" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>40 %–50 %) suggesting subsidence from 18 to 21 February,
and the transition from a clockwise circulation to the fast and complex wind
system typical of the second period corresponding to the high <inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be peak
and the SSW. Together with the increase in stratospheric temperatures
observed in Fig. 7, the reversal of zonal winds confirms the link between
the <inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be peak and the SSW event, in agreement with Sofieva et al. (2012). Interestingly, the parcel of the lowest relative humidity values
occurs during the 18–21 February period, i.e., a couple of days before the
dates of the <inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be peaks in the measurements and those peaks in the
simulated <inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M441" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio and stratospheric <inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be fraction
(Figs. 1b and 6). Together with enhanced ozone<?pagebreak page17941?> concentrations
observed in the lower troposphere on 19 February, this suggests that
the downward transport from the UT-LS was triggered by the SSW occurring a
few days before.</p>
      <p id="d1e5715">To better constrain the stratospheric origin of the air masses arriving at
the sampling sites during the two periods, we further analyzed the potential
vorticity data from ECMWF during the month of February 2003 at three
latitudes (63, 64.5 and 66<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) along the 21<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridian
(Fig. 10), while vertical cross sections of MERRA-2 PV are provided in
Fig. S3. The data clearly reveal a bubble of high potential vorticity down
to the surface at the three latitudes from 18–22 February 2003,
particularly at the northernmost latitude where values higher than 1.6 PVU,
a value considered as a threshold for stratospheric air in the lower
troposphere especially when in conjunction with low relative humidity, high
<inline-formula><mml:math id="M446" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M447" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratios and ozone (Cristofanelli et al., 2006), were
observed. Indeed, PV is considered as a quasi-passive tracer, because of its
conservation properties under adiabatic conditions (Hoor et al., 2010;
Gettelman et al., 2011), and the tropopause level can be identified as
regions of strong enhancements in gradients of PV, essentially indicated by
distinct values in the troposphere and stratosphere. Recent studies of PV
cutoff lows in the Northern Hemisphere extratropics (Pinheiro et al., 2017;
Portmann et al., 2021; Muñoz et al., 2020) suggest that the majority of
the events are relatively short-lived, persisting for about 2–3 d, a
value in good agreement with the vertical motion subject of this study.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e5763">Average trajectory cluster results (centroids) arriving in Ivalo,
Harku and Risø at 1000 m for low <inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values (left: 3–16 February 2003) and high <inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values (right: 20–28 February 2003), respectively.
The stations are ordered by latitude from top to bottom (coordinates of the
receptor site are provided on the left of each plot). The right numbers
between brackets in the centroids are the percentage of complete
trajectories occurring in that cluster, and the left numbers are an
identification number of the centroid. In each panel, the upper plot shows
the average latitude–longitude plot of each trajectory cluster, while the
bottom panel presents the time vs. trajectory average altitude plot.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/17927/2021/acp-21-17927-2021-f15.png"/>

        </fig>

      <p id="d1e5791">The low relative humidity (Fig. 9) and high potential vorticity (Fig. 10) corresponded to high <inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be descending to lower atmospheric levels, as
simulated by the model (Fig. 11). The descending vertical motion from the
upper vertical levels during the period is clearly visible in the MERRA-2
vertical pressure velocity (omega) fields sampled at the six sampling sites
for the month of February 2003, especially for the northernmost sites
(Fig. 12) where omega is largely positive with near-surface values up to
0.3–0.4 Pa s<inline-formula><mml:math id="M452" 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> around 18–19 February. Further evidence of this is seen
from the maps of vertical pressure velocity (Fig. 13) and of the
stratospheric fraction of <inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be originating in the stratosphere (Fig. 14) at 940 hPa in the boundary layer. Note that positive vertical pressure
velocity as seen over both Fennoscandia and Greenland (Fig. 13) during
18–25 February 2003<?pagebreak page17942?> indicates descending motions that can facilitate the
transport of stratospherically influenced air, if present, to the
ground-level. This explains why Fennoscandia saw increased stratospheric
influence on surface <inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations during this period (Fig. 14),
but Greenland did not see much. However, on monthly average, Greenland is a
region with significant stratospheric influences in February 2003 (middle
right panel, Fig. 3).</p>
      <p id="d1e5833">Analysis and comparison of 4 d back-trajectories at each sampling station
allowed a reconstruction of two distinct atmospheric circulation patterns in
the two periods. Figure 15 shows the clustering results for three sampling
sites (Ivalo, Harku and Risø) during both periods. The stations are
ordered as a function of decreasing latitude from high (upper panels) to low
(lower panels). Only results at 1000 m (well above the winter PBL height)
are shown, and cluster results for other altitudes in the lower troposphere
are similar. While the first period (with low <inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be values) presents the
dominance of westerly winds (air masses flowing eastward), as is typical at
these latitudes (Zanis et al., 1999), the second period is characterized by
a clockwise displacement of airflows with origins at higher altitudes
(Fig. 15). This pattern in the second period is better established at
lower-latitude stations (Helsinki, Harku, Kista and Risø) compared to
higher-latitude ones (Ivalo, Umeå). It likely results from the aged
vortex (Günther et al., 2008) and the SSW at the end of February,
corresponding to a decrease in the MERRA-2 daily average height of the
thermal tropopause on 21–22 February at the Sodankylä
station in Finland (Fig. S4) during the SSW (Peethani et al., 2014; Wargan
and Coy, 2016). Associated with these processes is the downward transport of
stratospheric air previously identified with an independent approach.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Summary and conclusions</title>
      <p id="d1e5855">We have used a global 3-D model (GEOS-Chem) driven by the MERRA-2
meteorological reanalysis to simulate atmospheric concentrations of <inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
of cosmogenic origin for the period of January–March 2003. The aim was to
verify the mechanisms responsible for the surface <inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variabilities<?pagebreak page17943?> in
northern Europe, and to test the hypothesis that SSW events may facilitate fast
descent of UT-LS vortex air to the surface. The period was selected as it
involves two intense SSW events and observations of extremely high <inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations at six sampling sites in Fennoscandia.</p>
      <p id="d1e5885">Before using the model's output to investigate the processes responsible for
<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variability in northern Europe over the period, we evaluated the
MERRA-2 precipitation fields against the GPCP satellite and surface
observations. A generally good agreement was found both at regional scale
and at the six sampling sites. Analysis of the wind fields in the study
period indicated low wind speeds from S-SW in agreement with the major
circulation patterns over the Fennoscandian Peninsula in winter, and the
presence of a region of strong wind speeds to the west of the study area,
likely in connection with the Arctic polar vortex.</p>
      <p id="d1e5897">The model reproduced efficiently the <inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and <inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M462" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb
temporal (i.e., monthly and weekly) patterns at the six sampling sites in
the study period, even though it presented a tendency to underestimate the
observed surface <inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations. The lower modeled values are
likely due to its coarse horizontal resolution (2.5<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude by
2<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude), lack of year-to-year variation in <inline-formula><mml:math id="M467" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
production rates and uncertainties associated with precipitation
scavenging.</p>
      <p id="d1e5971">In order to investigate the processes responsible for <inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be variability
at the six sampling sites during the study period, and in particular to test
whether the peak <inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations measured in Fennoscandia around 24
February 2003 originated from fast descent of stratospheric vortex air
facilitated by SSW, we analyzed time–height cross sections of simulated
<inline-formula><mml:math id="M470" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be and potential vorticity, vertical profiles of air temperature, maps
of surface winds and relative humidity, and ozone soundings. The analysis of
the temporal variations of simulated <inline-formula><mml:math id="M471" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be <inline-formula><mml:math id="M472" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb ratio and fraction
of <inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be<?pagebreak page17944?> originated in the stratosphere indicates a peak during the week
of 19–26 February 2003, suggesting downward transport from the UT-LS region.
The latter was corroborated by a layer of ozone mixing ratio enhancements in
the lower troposphere recorded by the soundings at the Sodankylä station
on 19 February. Furthermore, the vertical profiles of air temperature
indicated a warming of the stratosphere and a change in shape in the
vicinity of the tropopause region during the period, suggesting the link
between the downward transport of the vortex air and SSW.</p>
      <p id="d1e6037">Our analysis of time–height cross sections of simulated <inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations, calculated potential vorticity and MERRA-2 vertical pressure
velocity (omega) revealed the vertical downward transport to the surface of
a stratospheric air parcel characterized by high potential vorticity, high
vertical velocity (in particular at Ivalo on 19 February) and high
<inline-formula><mml:math id="M476" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations, further supporting the stratospheric origin of the
air masses during the investigated period.</p>
      <?pagebreak page17946?><p id="d1e6058">Additionally, low relative humidity and a change in the circulation pattern
from slow and clockwise to fast, swirling winds occurred over the study area.
The change in the circulation pattern and the downward transport of
stratospheric air was verified by the analysis of the clusters of back-trajectories during the periods of low and high <inline-formula><mml:math id="M477" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be concentrations,
which showed a change from westerlies to airflows from upper vertical
levels.</p>
      <p id="d1e6070">Altogether, these analyses confirm the link between the SSW and transport of
stratospheric air to the surface, resulting in high surface <inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be
concentrations observed in February 2003 in Fennoscandia. Since more
frequent SSW events are expected in a warmer climate (Kang and Tziperman, 2017,
2018; Simpkins, 2017), this link has important implications for the impact
of climate change on atmospheric transport, tropospheric composition and
air quality in northern high-latitude regions.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e6086"><inline-formula><mml:math id="M479" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Be activity concentration data are available in the Radioactivity
Environmental Monitoring (REM) database
(<uri>https://data.jrc.ec.europa.eu/collection/id-0117</uri>, European Commission, 2021). All model output, and
<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb daily observational data at Helsinki and Sodankylä for
January–March 2003 are available online
(<ext-link xlink:href="https://doi.org/10.5281/zenodo.4117521" ext-link-type="DOI">10.5281/zenodo.4117521</ext-link>, Brattich et al., 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6112">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-17927-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-17927-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6121">JA, MAHC and EB designed the study. HL and BZ conducted the GEOS-Chem model
simulations. MAHC led the calculation and analysis of HYSPLIT
back-trajectories. EB developed the analysis methodology and led the
analysis of observational data and model output, with contributions from all
coauthors. JP contributed <inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup></mml:math></inline-formula>Pb and meteorological observational
datasets. EB wrote the paper with contributions from all coauthors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6136">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6142">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6148">Jelena Ajtic, Darko Sarvan and Vladimir Djurdjevic acknowledge the support by  the Ministry of Education, Science and
Technological Development of the Republic of Serbia (contract numbers
451-03-9/2021-14/200143 and 451-03-9/2021-14/200162). Hongyu Liu and Bo Zhang acknowledge
funding support from the NASA Modeling, Analysis and Prediction program and Atmospheric Composition Campaign Data Analysis and
Modeling program. NASA Center for Climate Simulation
(NCCS) provided supercomputing resources. The GEOS-Chem model is managed by
the Atmospheric Chemistry Modeling Group at Harvard University with support
from NASA ACMAP and MAP programs. The University of Wyoming, ECMWF, Dr.
Rigel Kivi from the Finnish Meteorological Institute Arctic Space Center and
Dr. Laura Thölix from the Finnish Meteorological Institute are
gratefully acknowledged for providing and helping with temperature profiles,
ozone soundings and potential vorticity data used to support the detection
of air masses of stratospheric origin in the troposphere. The World Data
Center is gratefully acknowledged for the production, preservation and
dissemination of the international sunspot number (Sunspot Index and
Long-term Solar Observation, SILSO, Royal Observatory of Belgium, Brussels,
<uri>http://www.sidc.be/silso/datafiles#total</uri>, last access: 23 November 2021). Support for the Twentieth
Century Reanalysis Project version 3 dataset is provided by the U.S.
Department of Energy, Office of Science Biological and Environmental
Research (BER; <uri>http://science.energy.gov/ber/</uri>, last access: 23 November 2021), by the National Oceanic and
Atmospheric Administration Climate Program Office, and by the NOAA Physical
Sciences Laboratory. NASA/GSFC/SED/ESD/LA/MAPB and contributors are
gratefully acknowledged for developing and computing the GPCP (Global
Precipitation Climatology Project) as part of the Global Energy and Water
Cycle Exchanges (GEWEX) project. Stuart Grange is gratefully acknowledged
for providing access to European air quality data through the saqgetr R
package.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6159">This research was partially supported by the Ministry of Education, Science and Technological Development of the
Republic of Serbia (contract numbers 451-03-9/2021-14/200143
and 451-03-9/2021-14/200162) and by the NASA Modeling, Analysis and Prediction (MAP) program (grant no. 80NSSC17K0221) and Atmospheric Composition Campaign Data Analysis and Modeling (ACCDAM) program (grant no. NNX14AR07G).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6165">This paper was edited by Amanda Maycock and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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