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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-17-7635-2017</article-id><title-group><article-title>A decadal time series of water vapor and D <inline-formula><mml:math id="M1" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> H isotope ratios above Zugspitze: transport patterns to central Europe</article-title>
      </title-group><?xmltex \runningtitle{Zugspitze time series of water vapor and $\delta$D: transport patterns to central Europe}?><?xmltex \runningauthor{P.~Hausmann et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hausmann</surname><given-names>Petra</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Sussmann</surname><given-names>Ralf</given-names></name>
          <email>ralf.sussmann@kit.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Trickl</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schneider</surname><given-names>Matthias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8452-0035</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Karlsruhe Institute of Technology, IMK-IFU, Garmisch-Partenkirchen,
Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Karlsruhe Institute of Technology, IMK-ASF, Karlsruhe, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ralf Sussmann (ralf.sussmann@kit.edu)</corresp></author-notes><pub-date><day>23</day><month>June</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>12</issue>
      <fpage>7635</fpage><lpage>7651</lpage>
      <history>
        <date date-type="received"><day>18</day><month>November</month><year>2016</year></date>
           <date date-type="rev-request"><day>12</day><month>January</month><year>2017</year></date>
           <date date-type="rev-recd"><day>8</day><month>May</month><year>2017</year></date>
           <date date-type="accepted"><day>23</day><month>May</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017.html">This article is available from https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017.pdf</self-uri>


      <abstract>
    <p>We present vertical soundings (2005–2015) of
tropospheric water vapor (H<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) and its D <inline-formula><mml:math id="M3" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> H isotope ratio (<inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D)
derived from ground-based solar Fourier transform infrared (FTIR)
measurements at Zugspitze (47<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 11<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 2964 m a.s.l.).
Beside water vapor profiles with optimized vertical resolution (degrees of freedom for signal, DOFS, <inline-formula><mml:math id="M7" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.8),  {H<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs with consistent vertical
resolution (DOFS <inline-formula><mml:math id="M10" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6 for H<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) applied in this study.
The integrated water vapor (IWV) trend of 2.4 [<inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.8, 10.6] % decade<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is statistically insignificant (95 % confidence interval).
Under this caveat, the IWV trend estimate is conditionally consistent with
the 2005–2015 temperature increase at Zugspitze (1.3 [0.5, 2.1] K decade<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, assuming constant relative humidity. Seasonal variations in
free-tropospheric H<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D exhibit amplitudes of 140 and
50 % of the respective overall means. The minima (maxima) in January
(July) are in agreement with changing sea surface temperature of the
Atlantic Ocean.</p>
    <p>Using extensive backward-trajectory analysis, distinct moisture pathways are
identified depending on observed <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D levels: low column-based
<inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values (<inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> &lt; 5th percentile) are
associated with air masses originating at higher latitudes (62<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
on average) and altitudes (6.5 km)than high <inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values
(<inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> &gt; 95th percentile: 46<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
4.6 km). Backward-trajectory classification indicates that {H<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations are influenced by three
long-range-transport patterns towards Zugspitze assessed in previous
studies: (i) intercontinental transport from North America (TUS; source
region: 25–45<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 70–110<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 0–2 km altitude), (ii)
intercontinental transport from northern Africa (TNA; source region:
15–30<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 15<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W–35<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 0–2 km altitude),
and (iii) stratospheric air intrusions (STIs;
source region: &gt; 20<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, above zonal mean tropopause). The FTIR data exhibit
significantly differing signatures in free-tropospheric {H<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs (5 km a.s.l.) – given as the mean
with uncertainty of <inline-formula><mml:math id="M37" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 standard error (SE) – for TUS (VMR<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math id="M39" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.4 [2.3, 2.6] <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M43" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>315 [<inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>326,
<inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>303] ‰), TNA (2.8 [2.6, 2.9] <inline-formula><mml:math id="M47" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv,
<inline-formula><mml:math id="M49" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>251 [<inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>257, <inline-formula><mml:math id="M51" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>246] ‰), and STIs (1.2 [1.1, 1.3] <inline-formula><mml:math id="M52" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>384 [<inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>397, <inline-formula><mml:math id="M56" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>372] ‰). For TUS
events, {H<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations
depend on surface temperature in the source region and the degree of
dehydration having occurred during updraft in warm conveyor belts. During
TNA events (dry convection of boundary layer air) relatively moist and
weakly HDO-depleted air masses are imported. In contrast, STI events are
associated with import of predominantly dry and HDO-depleted air masses.</p>
    <p>These long-range-transport patterns potentially involve the import of
various trace constituents to the central European free troposphere, i.e.,
import of pollution from North America (e.g., aerosol, ozone, carbon
monoxide), Saharan mineral dust, stratospheric ozone, and other airborne
species such as pollen. Our results provide evidence that {H<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations are a valuable proxy for
the transport of such tracers. To validate this finding, we consult a
database of transport events (TNA and STI) covering 2013–2015 deduced by
data filtering from in situ measurements at Zugspitze and lidar profiles at
nearby Garmisch. Indeed, the FTIR data related to these verified TNA events
(27 days) exhibit characteristic fingerprints in IWV (5.5 [4.9, 6.1] mm) and
<inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>266 [<inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>284, <inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>247] ‰), which are
significantly distinguishable from the rest of the time series (4.3 [4.1,
4.5] mm, <inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>316 [<inline-formula><mml:math id="M67" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>324, <inline-formula><mml:math id="M68" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>308] ‰). This holds true for 136
STI days considering uncertainties of <inline-formula><mml:math id="M69" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SE (4.2 [4.0, 4.3] mm, <inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>322
[<inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>327, <inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>316] ‰) with respect to the remainder (4.6
[4.5, 4.8] mm, <inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>302 [<inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>307, <inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>297] ‰). Furthermore, deep
stratospheric intrusions to the Zugspitze summit (in situ humidity and
beryllium-7 data filtering) show a significantly lower mean value (<inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>334
[<inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>337, <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>330] ‰) of lower-tropospheric <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (3–5 km a.s.l.) than the rest of the 2005–2015 time series (<inline-formula><mml:math id="M80" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>284 [<inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>286, <inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>282] ‰)
considering uncertainty of <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE. Our results
show that consistent {H<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
observations at Zugspitze can serve as an operational indicator for
long-range-transport events potentially affecting regional climate and air
quality, as well as human health in central Europe.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Water vapor (H<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) is of fundamental importance in the climate system of
our Earth. As the dominant greenhouse gas it accounts for about 60 % of
the natural greenhouse effect (Kiehl and Trenberth, 1997; Harries et al.,
2008). The Earth's energy budget is closely linked to the global water
cycle, which effectively redistributes energy by latent heat transport
(Stephens et al., 2012; Wild et al., 2013). However, relevant processes
determining the interaction between atmospheric humidity, circulation, and
climate are still not completely understood (e.g., cloud feedback
processes). A major remaining challenge in climate modeling is accurately
representing the response of the hydrological cycle and general circulation
patterns to climate change (Bengtsson et al., 2014; Bony et al., 2015).</p>
      <p>Large-scale circulation patterns at the northern midlatitudes are dominated
by prevailing westerly winds. Extratropical cyclones and deep convective
systems facilitate transport of water vapor from moisture sources to higher
altitudes and latitudes. Along these major transport pathways, other trace
gas signatures and pollution plumes can travel over long distances from
source to receptor regions (e.g., Stohl, 2001; Stohl et al., 2002).
Transported species of predominantly natural origin include, among others,
volcanic ash (e.g., Trickl et al., 2013), biomass burning aerosols (e.g.,
Forster et al., 2001; Wotawa et al., 2001; Damoah et al., 2004; Fromm et
al., 2010; Trickl et al., 2015), pollen (e.g., Jochner et al., 2015),
mineral dust (e.g., Husar, 2004; Papayannis et al., 2008; Trickl et al.,
2011; Israelevich et al., 2012), and stratospheric ozone (e.g., Beekmann et
al., 1997; Škerlak et al., 2014). Relevant anthropogenic tracers are,
e.g., aerosols, carbon monoxide, ozone, and ozone precursors. Such transport
events impact climate, air quality, and human health in receptor regions and
are highly relevant for agreements on emission regulations (Holloway et al.,
2003; TF-HTAP, 2010).</p>
      <p>Research on long-range transport to central Europe has a long history at
high-altitude observatories, such as Zugspitze and Jungfraujoch, which offer
a unique opportunity to monitor free-tropospheric conditions. Transport
studies using lidar and in situ measurements combined with transport
modeling have previously identified three main long-range-transport patterns
to central Europe. First, intercontinental transport from North America
effectively carries anthropogenic emissions within 3–10 days to the
European middle troposphere after lifting by warm conveyor belts (WCBs; Stohl and
Trickl, 1999; Trickl et al., 2003). Second, intercontinental transport from
northern Africa imports Saharan mineral dust into Europe in 5–15 events per
year (Papayannis et al., 2008; Flentje et al., 2015). Third,
stratosphere–troposphere transport injects dry, ozone-rich air into the
European troposphere typically after descending 3–15 days from the
lowermost stratosphere (Stohl et al., 2003; Trickl et al., 2010, 2014, 2015,
2016).</p>
      <p>Valuable information on tropospheric moisture pathways (and associated
transport of other tracers) is provided by measurements of water vapor and
its isotopes (Strong et al., 2007; González et al., 2016; Schneider et
al., 2016). In this context, two stable water vapor isotopes are of
particular interest: H<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>H<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>O) and HDO
(<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>H<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O) with an average abundance of 99.7 and 0.03 %, respectively. Variations in the D <inline-formula><mml:math id="M93" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> H ratio of water vapor are expressed
in terms of <inline-formula><mml:math id="M94" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, i.e., as relative deviation from a reference
HDO / H<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O ratio standard (Craig, 1961; see Sect. 2). The isotopic
composition of atmospheric water vapor is modified during phase transitions
(evaporation, condensation, and sublimation) due to fractionation processes
caused by isotopic mass differences (Dansgaard, 1964). After evaporation
from the ocean surfaces, which represents the main source of water vapor,
air masses are transported to regions of lower temperatures, where
condensation or sublimation leads to dehydration and depletion in the
heavier isotope HDO. Resulting large-scale isotope effects (Worden et al.,
2007; Sutanto et al., 2015) include increasing depletion in HDO (decreasing
<inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) with higher latitudes (latitude effect), with higher altitudes
(altitude effect), and with increasing distance from oceans (continental
effect).</p>
      <p>Only recently have tropospheric water vapor isotope data sets become
available from satellite remote-sensing instruments (e.g., Worden et al.,
2006; Schneider and Hase, 2011; Lacour et al., 2012; Boesch et al., 2013;
Frankenberg et al., 2013; Sutanto et al., 2015) and from ground-based
Fourier transform infrared (FTIR) spectrometers (Barthlott et al., 2017;
Schneider et al., 2016) operated within the Network for the Detection of
Atmospheric Composition Change (NDACC; <uri>www.ndacc.org</uri>). Progress achieved
within the project MUSICA (MUlti-platform remote Sensing of Isotopologues
for investigating the Cycle of Atmospheric water; Schneider et al., 2012)
now offers retrieval methods for tropospheric H<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
profiles from mid-infrared FTIR measurements.</p>
      <p>So far, research on long-range transport to central Europe has mainly been
based on investigations or field campaigns of special transport events
combining observations of conventional tracers (such as ozone, aerosols, and
humidity) at few sites. With the advance of water vapor isotope remote
sensing, a promising new transport tracer (i.e., consistent {H<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs) has become available for globally
distributed operational FTIR sites. This data set can be exploited to gain a
more comprehensive picture of atmospheric moisture transport. These
transport processes can be associated with the dispersion of anthropogenic
(or natural) emissions, which is of particular interest for emission
regulation policies and human health issues (e.g., air pollution, pollen
distribution). Additionally, analysis of {H<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs will yield further insight into the coupling of the
hydrological cycle with general circulation patterns, urgently needed to
improve our understanding of climate change.</p>
      <p>The goal of this study is to evaluate new possibilities in transport
research provided by long-term observations of consistent {H<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M104" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs at an FTIR site which is
representative of typical midlatitude conditions. We present an update of
the water vapor time series obtained at Zugspitze (Sussmann et al., 2009)
including water vapor isotope information. Based on this data set, transport
pathways to the central European free troposphere are identified using
backward-trajectory analysis. The main task is to identify distinct
signatures in {H<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs for
long-range-transport patterns and to combine the results with conventional
transport tracer observations. This paper is structured as follows: Section
2 describes FTIR measurements and the retrieval of water vapor and its
isotopes. The resulting long-term {H<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} time series at Zugspitze is presented in Sect. 3 along
with a discussion on trends and seasonal cycles. Section 4.1 gives results
on moisture pathways to central Europe related to <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outliers.
{H<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signatures of long-range-transport events are identified using trajectory classification (Sect. 4.2)
and analysis of lidar and in situ measurements (Sect. 4.3). Finally, Sect. 5
summarizes results and draws final conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <title>FTIR observations and retrieval strategy</title>
      <p>The long-term time series of water vapor and its isotopes (2005–2015)
presented in this study is retrieved from ground-based solar absorption FTIR
measurements obtained at Zugspitze (47.42<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 10.98<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E,
2964 m a.s.l.). This high-altitude observatory is mostly located above the
moist boundary layer or just below its upper edge (Carnuth et al., 2002).
Sampled air masses are representative of free-tropospheric background
conditions over central Europe. Within the framework of NDACC, a Bruker IFS
125HR spectrometer is operated at Zugspitze (Sussmann and Schäfer,
1997). Mid-infrared solar absorption spectra are recorded with a typical
spectral resolution of 0.005 cm<inline-formula><mml:math id="M114" 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> (according to a maximum optical path
difference of 175 cm) and an integration time of 7 min (averaging
six individual scans). These high-resolution spectra provide information on
a large number of trace gases, including water vapor and its isotopes
(Sussmann et al., 2009; Schneider et al., 2013).</p>
      <p><?xmltex \hack{\newpage}?>The isotopic composition of atmospheric water vapor with respect to HDO is
typically expressed in terms of <inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, defined as relative deviation of
the HDO / H<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O ratio (volume mixing ratios VMR<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">HDO</mml:mi></mml:msub></mml:math></inline-formula> and VMR<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
from the ratio in Standard Mean Ocean Water (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">SMOW</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.1152</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Craig, 1961), i.e.,
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M120" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">VMR</mml:mi><mml:mi mathvariant="normal">HDO</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">VMR</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">SMOW</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Additionally, columnar water vapor and <inline-formula><mml:math id="M121" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values are applied as follows:
column-based <inline-formula><mml:math id="M122" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (<inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is calculated using
the total column ratio in Eq. (1), and integrated water vapor (IWV) is
thereafter given in units of millimeters (i.e., a water column of 1 mm corresponds to
an atmospheric column density of 3.345 <inline-formula><mml:math id="M125" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which can be derived considering the Avogadro constant and the
molar mass as well as the density of water).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Averaging kernel rows of a typical H<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O measurement at
Zugspitze (29 October 2009, 13:21 UTC) for two retrieval products:
<bold>(a)</bold>
optimally estimated humidity state (type 1) and <bold>(b)</bold> consistent
{H<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} state (type 2). Thick
black lines show the vertical column sensitivity (sum of row elements of the
averaging kernel matrix).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f01.png"/>

      </fig>

      <p>The retrieval of water vapor isotopes from mid-infrared FTIR spectra is very
demanding due to the high variability of atmospheric water vapor compared
with relatively small <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D variations that result from the strong
correlation of HDO and H<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O abundances. Retrieval strategies for
tropospheric {H<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs from
ground-based FTIR spectra were developed within the project MUSICA
(Schneider et al., 2012, 2016; Barthlott et al., 2017). The latest retrieval
version (v2015) is applied here, which comprises – briefly summarized – a
logarithmic-scale retrieval with an interspecies constraint between HDO and
H<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, a non-Voigt line-shape model, and a priori profiles from LMDZ-iso
simulations (isotopic version of the model Laboratoire de
Météorologie Dynamique-Zoom; Risi et al., 2012; globally and
annually averaged H<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and HDO profiles). Two data products are
available: (i) optimal estimation of water vapor for maximum vertical
resolution of H<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O profiles (type 1) and (ii) quasi-optimal estimation
of {H<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs derived by a
posteriori data processing for consistent vertical sensitivity of H<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D profiles (type 2). Error estimation for the type 2 product
reveals a precision below 2 % for integrated water vapor and below 30 ‰ for column-based <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (Schneider et al., 2012).</p>
      <p>Applying this {H<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pair
retrieval to Zugspitze FTIR spectra results in characteristic averaging
kernels (depicted in Fig. 1) for the humidity-proxy state, i.e.,
<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M146" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> (ln[H<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>O] <inline-formula><mml:math id="M148" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ln[H<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">18</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>O] <inline-formula><mml:math id="M150" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ln[HD<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O]).
Furthermore, the vertical sensitivity is shown, which is defined as the sum
of the row elements of the averaging kernel matrix. A typical measurement on
29 October 2009 is chosen to represent the mean state of the Zugspitze time
series (IWV <inline-formula><mml:math id="M152" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.8 mm, degrees of freedom for signal (DOFS) <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6 for the
type 2 product). Optimally estimated H<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O profiles (type 1 product)
derived from Zugspitze data provide an average DOFS of 2.8 (standard
deviation (SD) <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.2) and are sensitive up to 12 km altitude (vertical
sensitivity larger than 0.75) as shown in Fig. 1a. In the following, we use
the type 2 data product (Fig. 1b), which provides consistent {H<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} profiles with vertical sensitivity up to
9 km (SD <inline-formula><mml:math id="M158" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 km) and maximum sensitivity at 5 km a.s.l. altitude (SD <inline-formula><mml:math id="M159" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>
0.5 km). On average, a DOFS of 1.6 (SD <inline-formula><mml:math id="M160" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.2) is obtained for H<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and
<inline-formula><mml:math id="M162" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D data (type 2) derived from Zugspitze spectra. The vertical
resolution amounts to 2–3 km in the lower troposphere and 4–5 km in the
middle–upper troposphere, as derived from the full width at half maximum of
the row kernels. Retrieval quality selection is implemented by means of a
threshold in the root-mean-square (RMS) residuals of the spectral fit, which
is chosen to eliminate 5 % of all spectra with the highest RMS (see
Sussmann et al., 2009). The full Zugspitze time series yields a mean
normalized RMS of 0.26 %. Additionally, the sum of DOFS for all retrieved
isotopes (H<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, HDO, and H<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">18</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>O) is required to exceed a value
of 4.0. To compute daily means, only days with more than one measurement are
considered.</p>
</sec>
<sec id="Ch1.S3">
  <?xmltex \opttitle{Long-term \{H${}_{{2}}$O, $\delta$D\} time series
and its seasonality above Zugspitze}?><title>Long-term {H<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} time series
and its seasonality above Zugspitze</title>
      <p>Time series of daily mean integrated water vapor and column-based <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
above Zugspitze are presented in Fig. 2 for the period 2005–2015. This
data set comprises 1154 daily means derived from 10184 FTIR spectra after
filtering by the quality selection criteria described above, with, on average,
nine spectra per measurement day and 105 measurement days per year. Seasonal
cycles are determined by fitting a third-order Fourier series to the time
series. This fitted intra-annual model is subtracted from the time series
for the purpose of deseasonalization. The multiannual mean of the
deseasonalized IWV time series amounts to 4.4 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 mm, which reflects
dry conditions at the high-altitude Zugspitze site. Throughout this
manuscript, uncertainties of mean values are given as a range of <inline-formula><mml:math id="M169" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE (standard error);
i.e., SE of the mean <inline-formula><mml:math id="M170" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> SD <inline-formula><mml:math id="M171" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:msqrt><mml:mi>n</mml:mi></mml:msqrt></mml:math></inline-formula>, with
sample size <inline-formula><mml:math id="M173" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> (except for the discussion in Sect. 4.3, where also ranges of
<inline-formula><mml:math id="M174" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SE are considered). The multiannual mean of deseasonalized
column-based <inline-formula><mml:math id="M175" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D amounts to <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">311.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰. This relatively low value corresponds to strong HDO depletion at high
altitudes according to the altitude effect (dehydration with decreasing
temperature). The multiannual mean <inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> value at Zugspitze is
slightly less depleted than observations at the nearby but even higher
Jungfraujoch station (46.5<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 8.0<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 3580 m a.s.l.)
with a multiannual mean <inline-formula><mml:math id="M181" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> of <inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>330 ‰
(Schneider et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Daily mean time series of <bold>(a)</bold> integrated water vapor and <bold>(b)</bold>
column-based <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D retrieved from Zugspitze FTIR measurements. Error
bars indicate uncertainties of daily means (<inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE), and grey lines
show corresponding seasonal cycles (fitted third-order Fourier series).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Seasonal cycles of water vapor and <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D in the free
troposphere above Zugspitze: <bold>(a)</bold> multiannual monthly means and frequency
distributions (percentiles P specified in the legend) of FTIR data at 5 km a.s.l. and <bold>(b)</bold> {H<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} plot for
multiannual monthly means, with error bars indicating standard errors of
monthly means (<inline-formula><mml:math id="M189" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f03.png"/>

      </fig>

      <p>A short discussion is given on long-term trends derived from the daily mean
IWV and <inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> time series (2005–2015). For column-based
<inline-formula><mml:math id="M192" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, we infer a statistically insignificant trend of 0.8 [<inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.1,
4.7] % per decade (relative to the overall mean, uncertainty given as 95 %
confidence interval). For IWV, a weak positive, and likewise insignificant, trend of
2.4 [<inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.8, 10.6] % per decade (relative to overall IWV mean) is derived.
These linear trends are determined by fitting a linear trend model by least-squares
fit to the deseasonalized daily mean time series, and uncertainties
are determined via bootstrap resampling of the residuals (Gardiner et al.,
2008). Over the same time period, a significant positive temperature trend
of 1.3 [0.5, 2.1] K per decade is observed at Zugspitze (derived from daily
means of in situ temperature measurements coincident with FTIR spectra
within a period of <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30 min; source: Deutscher Wetterdienst, available
at <uri>ftp://ftp-cdc.dwd.de/pub/CDC/observations_germany/climate/hourly</uri>). Assuming constant relative humidity (RH) and
following the Clausius–Clapeyron equation (Schneider et al., 2010), the
observed temperature increase translates to a positive IWV trend of 9.2
[3.7, 14.7] % per decade. This IWV trend deduced from the temperature
increase in consideration of its confidence interval would be formally
consistent with the most probable IWV trend observed. The assumption of
constant RH is valid on large spatial scales, but RH slightly decreased over
specific land regions (Hartmann et al., 2013), which would explain the
relatively large calculated IWV trend compared to observations.</p>
      <p>Strong seasonal cycles of free-tropospheric water vapor and <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D are
observed above Zugspitze (Fig. 3a). Multiannual monthly means are shown for
data at 5 km a.s.l., where the maximum in vertical sensitivity of the
{H<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M198" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pair product is located
(see Fig. 1b). These data are representative for an altitude region of 3–7 km, which is the full width at half maximum of the corresponding averaging
kernel row. The seasonal cycle amplitude (relative difference of maximum and
minimum monthly mean) amounts to 140 % for H<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and 50 % for
<inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D relative to the overall mean. Both seasonal cycles show maxima in
summer (July) and minima in winter (January). The <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D maximum in
summer results from more frequent ascending motions in summer with
associated transport of less-HDO-depleted air masses from lower altitudes
and latitudes (Risi et al., 2012). Stronger HDO depletion in winter
(<inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D minimum) is caused by a stronger continental temperature
gradient in winter and associated stronger dehydration during air mass
transport from the Atlantic Ocean. Additionally, transport from eastern
Europe occurs more frequently during anticyclonic conditions in winter
importing strongly depleted continental air masses (Christner, 2015).
Monthly frequency distributions of single H<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O measurements are
generally right-skewed, and variability is larger in summer (June–August)
than in winter. This might be explained by extreme moistening events due to
more frequent convection in summer and mixing with boundary layer air. For
free-tropospheric <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D measurements, monthly frequency distributions
show a tendency to being moderately left-skewed (e.g., January, May, and
June), which might point to episodic influence by strongly HDO-depleted air
masses (e.g., originating in the upper troposphere or lower stratosphere).
In the {H<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M206" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} distribution plot
(Fig. 3b), it becomes clear that the isotopic composition of atmospheric
water vapor significantly changes over the course of a year: in spring it is
less depleted in HDO than in autumn. This is mainly caused by seasonal
variations in sea surface temperature of the Atlantic Ocean (i.e., the major
moisture source) as derived from Rayleigh model simulations (see Fig. 5). An
additional contribution is possibly due to increased mixing in spring
compared to autumn. These seasonal variations in the water vapor isotopic
composition above Zugspitze imply that <inline-formula><mml:math id="M207" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observations provide
information complementary to the H<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O data (e.g., Risi et al., 2012;
Schneider et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Backward trajectories of air masses arriving above Zugspitze
(marked as black star) at 5 km a.s.l. altitude: map projection (upper panel)
and vertical cross section (lower panel) of trajectories for all FTIR
measurement times in 2005–2015 (grey lines) and for days identified as
<inline-formula><mml:math id="M209" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> outliers (blue and red lines).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f04.png"/>

      </fig>

      <p>In this section, we presented a unique decadal time series of water vapor
and  <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D derived from FTIR measurements at Zugspitze representative of
central European background conditions. In the following, these <inline-formula><mml:math id="M212" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
observations are used as a tracer of atmospheric transport to study its
behavior in relation to different transport pathways to central Europe.</p>
</sec>
<sec id="Ch1.S4">
  <title>Transport patterns to the central European free troposphere</title>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{Moisture pathways related to $\delta$D outliers}?><title>Moisture pathways related to <inline-formula><mml:math id="M213" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outliers</title>
      <p>To explore the potential of water vapor isotope observations as a proxy for
transport processes, moisture transport pathways are identified for cases of
extreme water vapor isotopic composition. The Zugspitze data set of
{H<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M215" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs predominantly contains
information on free-tropospheric moisture pathways reaching
central Europe in the altitude region around 5 km a.s.l., as shown in
Sect. 2 (see Fig. 1b). With the help of backward-trajectory analysis, these
transport pathways are determined for outliers in column-based <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
derived from the frequency distribution of the deseasonalized daily mean
time series at Zugspitze (2005–2015). High outliers are defined as daily
mean values larger than the 95th percentile of the distribution
(<inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>219 ‰), and low
outliers are days with <inline-formula><mml:math id="M220" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> below the 5th percentile
(<inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> &lt; <inline-formula><mml:math id="M224" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>430 ‰). This yields 56
days of high and 57 days of low column-based <inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outliers from a
total of 1154 measurement days.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Free-tropospheric measurements of {H<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
<inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs above Zugspitze (5 km a.s.l.) for all
2005–2015 data and for high and low <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outliers as determined from
the deseasonalized column-based <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D time series. For comparison,
simulated Rayleigh processes (initial evaporation at <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C;
RH <inline-formula><mml:math id="M232" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 80 %; <inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values of <inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>60, <inline-formula><mml:math id="M235" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>130, and <inline-formula><mml:math id="M236" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>160 ‰) as well as mixing
processes of upper-tropospheric air (VMR<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
<inline-formula><mml:math id="M239" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>585 ‰) with three lower–middle-tropospheric air
masses ((i) VMR<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M243" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>130 ‰; (ii) VMR<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6100</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M247" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M248" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>200 ‰;
(iii) VMR<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3000</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, <inline-formula><mml:math id="M250" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M251" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M252" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>270 ‰) are shown.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f05.png"/>

        </fig>

      <p>For all 2005–2015 FTIR measurements, 120 h backward trajectories
arriving at 5 km a.s.l. above Zugspitze are calculated using the Air
Resources Laboratory's HYbrid Single-Particle Lagrangian Integrated
Trajectory model (HYSPLIT; available at <uri>http://ready.arl.noaa.gov</uri>; Stein et
al., 2015). We apply meteorological data from the NCEP (National Center for
Environmental Prediction) reanalysis (global 2.5<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid), which
have yielded excellent results in interpreting transport related features in
lidar data for many years (e.g., Trickl et al., 2010). Trajectory
uncertainty is estimated to be 10–20 % of the travel distance (Stohl,
1998), which is fulfilled in the free troposphere according to our
experience. Resulting backward trajectories are shown in Fig. 4 as
horizontal and vertical projections. The initial point of each trajectory
(i.e., the location from which the air mass was transported to Zugspitze) is chosen as the point of last condensation (LC), defined as the
region where the relative humidity along the trajectory exceeds 80 % over
a 3 h period (see González et al., 2016). Conditions at the point
of last condensation determine the air parcel's water vapor mixing ratio and
its isotopic composition, as these quantities are conserved in the absence
of sources and sinks (Galewsky et al., 2005; Noone et al., 2012), i.e., if
mixing during transport is negligible and no further condensation occurred.
If no LC point exists along the trajectory, full 120 h trajectories are
depicted. The choice of 5-day trajectories appears appropriate in
consideration of typical transport timescales, lifetimes of transported
species, and trajectory uncertainty.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Air mass origin and conditions at last condensation point for
trajectories on <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outlier days (only if LC is found) given as mean
values with uncertainties of two standard errors (SE) and the range of
minimum and maximum values.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">High <inline-formula><mml:math id="M255" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> (&gt; 95th perc.) </oasis:entry>  
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">Low <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> (&lt; 5th perc.) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Mean (<inline-formula><mml:math id="M259" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE)</oasis:entry>  
         <oasis:entry colname="col3">Min, Max</oasis:entry>  
         <oasis:entry colname="col4">Mean (<inline-formula><mml:math id="M260" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE)</oasis:entry>  
         <oasis:entry colname="col5">Min, Max</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Latitude (<inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>  
         <oasis:entry colname="col2">46 [45, 47]</oasis:entry>  
         <oasis:entry colname="col3">30, 55</oasis:entry>  
         <oasis:entry colname="col4">62 [61, 63]</oasis:entry>  
         <oasis:entry colname="col5">34, 75</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Altitude (km a.s.l.)</oasis:entry>  
         <oasis:entry colname="col2">4.6 [4.4, 4.9]</oasis:entry>  
         <oasis:entry colname="col3">0.4, 8.1</oasis:entry>  
         <oasis:entry colname="col4">6.5 [6.4, 6.6]</oasis:entry>  
         <oasis:entry colname="col5">3.3, 8.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pressure (hPa)</oasis:entry>  
         <oasis:entry colname="col2">579 [560, 599]</oasis:entry>  
         <oasis:entry colname="col3">333, 963</oasis:entry>  
         <oasis:entry colname="col4">438 [432, 445]</oasis:entry>  
         <oasis:entry colname="col5">317, 678</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Temperature (K)</oasis:entry>  
         <oasis:entry colname="col2">260 [259, 262]</oasis:entry>  
         <oasis:entry colname="col3">226, 289</oasis:entry>  
         <oasis:entry colname="col4">242 [241, 243]</oasis:entry>  
         <oasis:entry colname="col5">224, 274</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">VMR<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> (10<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv)</oasis:entry>  
         <oasis:entry colname="col2">4.1 [3.7, 4.5]</oasis:entry>  
         <oasis:entry colname="col3">0.3, 15.6</oasis:entry>  
         <oasis:entry colname="col4">1.2 [1.1, 1.3]</oasis:entry>  
         <oasis:entry colname="col5">0.2, 8.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>According to the location of Zugspitze in the zone of prevailing
westerlies and in agreement with results from long-term ozone lidar
measurements at the nearby Garmisch site (see Sect. 4.3), the majority of
trajectories point to Atlantic moisture sources distributed over a wide
latitude range (from the subtropics to polar regions). Several trajectories
originate over the North American continent or even the Pacific region.
Fewer trajectories arrive from eastern Europe or northern Africa. Figure 4
reveals clearly different transport patterns for low outliers of
column-based <inline-formula><mml:math id="M264" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observed at Zugspitze than for high outliers. For
extraordinarily low <inline-formula><mml:math id="M265" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> observations (<inline-formula><mml:math id="M267" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula>
&lt; <inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>430 ‰), air masses mostly descend from high
latitudes and altitudes, often related to cold advection at the rear side of
an upper-level trough. In contrast, on days with very high <inline-formula><mml:math id="M270" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> observations (<inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M274" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>219 ‰), air masses predominately arrive from lower
latitudes, ascending from lower altitudes, often in connection with warm
advection at the front side of an upper-level trough. An overview of the
conditions at the last condensation points and their positions is given in
Table 1 for trajectories arriving on <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outlier days (only if an LC
point is found along the trajectory). This analysis shows that air masses
originate from significantly higher latitudes (about 60<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and
altitudes (about 6.5 km) on low-<inline-formula><mml:math id="M277" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D-outlier days than on
high-<inline-formula><mml:math id="M278" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D days. Last condensation occurred at significantly lower
temperatures and under dryer conditions for low-<inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D days than for
high-<inline-formula><mml:math id="M280" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D days. Consequently, mostly dry air masses are transported to
Zugspitze in connection with low <inline-formula><mml:math id="M281" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D.</p>
      <p>A first-order interpretation of the {H<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} data pairs can be obtained by their comparison to
theoretical Rayleigh and mixing lines (Wiegele et al., 2014; Schneider et
al., 2015; González et al., 2016). Figure 5 shows the {H<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M285" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} distribution plot for Zugspitze data at
5 km a.s.l. along with simulated Rayleigh and mixing processes. Rayleigh
models simulate the idealized process of gradual dehydration of an air
parcel during adiabatic cooling with immediate removal of the condensate.
Simultaneously, the remaining water vapor becomes more and more depleted in
HDO, as heavier isotopes preferentially condense. Rayleigh dehydration
processes (black lines in Fig. 5) are simulated using a mean midlatitude
profile of pressure and temperature (Christner, 2015, Table 13) with initial
evaporation conditions characteristic of midlatitude oceanic or continental
moisture sources (temperature of 15 <inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; RH of 80 %; and
different <inline-formula><mml:math id="M287" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values: <inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>60, <inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>130, and <inline-formula><mml:math id="M290" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>160 ‰). Furthermore,
mixing processes of dry, HDO-depleted upper-tropospheric air (VMR<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math id="M292" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 200 ppmv, <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M294" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M295" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>585 ‰) with moist
lower–middle-tropospheric air masses are simulated (dark red lines in Fig. 5). The <inline-formula><mml:math id="M296" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D value of the mixture is mainly determined by the
<inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D value of the mixing partner with higher water vapor (Noone et
al., 2011). Three moist mixing partners are considered here: (i) boundary
layer air with VMR<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ppmv and <inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M300" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>130 ‰, (ii) moderately dehydrated and depleted air with
VMR<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6100</mml:mn></mml:mrow></mml:math></inline-formula> ppmv and <inline-formula><mml:math id="M303" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M304" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M305" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>200 ‰,
and (iii) even more dehydrated air with VMR<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3000</mml:mn></mml:mrow></mml:math></inline-formula> ppmv and
<inline-formula><mml:math id="M307" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M308" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M309" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>270 ‰. Comparing these simulated
transport processes with {H<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M311" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
pairs observed at Zugspitze (5 km a.s.l.) reveals underlying transport
regimes on designated <inline-formula><mml:math id="M312" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> outlier days: measurements on days
of low <inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outliers group along Rayleigh curves, while data on
high-<inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D-outlier days preferentially group along simulated mixing
lines. We tentatively conclude that the first group (low <inline-formula><mml:math id="M316" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
experienced slow ascent from mostly midlatitude moisture sources with
associated gradual dehydration by condensation and rainout, which is
followed by subsidence to the middle troposphere above Zugspitze with
only minor mixing with moist and less-HDO-depleted air masses. In contrast,
the second group (high <inline-formula><mml:math id="M318" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reveals air masses ascending from
lower altitudes and latitudes, which are influenced by the coexistence or
mixing of moist lower-tropospheric and drier middle–upper-tropospheric air
masses.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Backward-trajectory classification by source region and resulting
distributions of deseasonalized VMR<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M321" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D for the
long-range-transport patterns of stratospheric intrusions (STIs), transport
from North America (TUS), and transport from northern Africa (TNA).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">STI</oasis:entry>  
         <oasis:entry colname="col3">TUS</oasis:entry>  
         <oasis:entry colname="col4">TNA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Trajectory source region </oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Latitude</oasis:entry>  
         <oasis:entry colname="col2">&gt; 20<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col3">25–45<inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">15–30<inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Longitude</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">70–110<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col4">15<inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W–35<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Altitude</oasis:entry>  
         <oasis:entry colname="col2">&gt; zonal mean TP</oasis:entry>  
         <oasis:entry colname="col3">0–2 km</oasis:entry>  
         <oasis:entry colname="col4">0–2 km</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">{H<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,  <inline-formula><mml:math id="M329" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signature (mean <inline-formula><mml:math id="M330" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE) </oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">VMR<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> (10<inline-formula><mml:math id="M332" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv)</oasis:entry>  
         <oasis:entry colname="col2">1.21 [1.07, 1.34]</oasis:entry>  
         <oasis:entry colname="col3">2.42 [2.25, 2.59]</oasis:entry>  
         <oasis:entry colname="col4">2.78 [2.63, 2.93]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M333" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (‰)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M334" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>384 [<inline-formula><mml:math id="M335" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>397, <inline-formula><mml:math id="M336" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>372]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M337" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>315 [<inline-formula><mml:math id="M338" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>326, <inline-formula><mml:math id="M339" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>303]</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M340" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>251 [<inline-formula><mml:math id="M341" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>257, <inline-formula><mml:math id="M342" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>246]</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The <inline-formula><mml:math id="M343" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D outlier analysis reveals the potential of water vapor isotope
observations for investigating moisture transport pathways. As along these
pathways many other atmospheric species can also be transported,
{H<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M345" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} data pairs might also
serve as a useful tracer in long-range-transport research.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{\{H${}_{{2}}$O, $\delta$D\} signatures of
long-range-transport events}?><title>{H<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M347" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signatures of
long-range-transport events</title>
      <p>Moisture transport pathways to the central European free troposphere were
identified for days with extraordinary high or low <inline-formula><mml:math id="M348" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observations
at Zugspitze in Sect. 4.1. Going a step further, we examine to what extent
{H<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M350" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations also provide
information on long-range-transport events of various other atmospheric
tracers. In the following, {H<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signatures are analyzed for three FTIR measurement
categories, each of which is influenced by a distinct long-range-transport
pattern to the central European free troposphere: (i) intercontinental
transport from North America (TUS), (ii) intercontinental transport from
northern Africa (TNA), and (iii) stratospheric air intrusions (STIs).
Zugspitze FTIR measurements are assigned to these categories by
classification of respective backward trajectories (see Sect. 4.1) using the
criteria given in Table 2 and described in more detail in the following
paragraphs.</p>
      <p>Intercontinental transport from North America may effectively carry
anthropogenic pollution plumes (e.g., ozone, aerosols) to central Europe
within typically 3–10 days (Stohl and Trickl, 1999; Trickl et al., 2003;
Huntrieser et al., 2005). Consequently, North American emissions strongly
contribute to the European total column tracer mass (i.e., 43 % for a
tracer with a 10-day lifetime; Stohl et al., 2002). The typical pathway of
polluted boundary layer air from North America to Europe is uplift in a WCB (i.e., an ascending air stream ahead of a surface cold
front in an extratropical cyclone) and subsequent transport by strong
westerly flows in the middle and upper troposphere. The North American
tracer enters Europe typically at altitudes of 4–8 km and at high latitudes
(&gt; 60<inline-formula><mml:math id="M353" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N). Here, the circulation frequently turns
anticyclonic, and tracers eventually reach the northern Alps (Huntrieser and
Schlager, 2004). WCB climatologies reveal a major inflow region at the
southeastern coast of North America (Stohl, 2001; Eckhardt et al.,
2004; Madonna et al., 2014). In the following, Zugspitze backward
trajectories passing this source region (25–45<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
70–110<inline-formula><mml:math id="M355" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 0–2 km altitude) are assigned to the TUS category.</p>
      <p>The second transport category considered is intercontinental transport from
northern Africa to the European free troposphere. Associated transport of
Saharan mineral dust influences air quality, soil fertility, radiative
budget, and atmospheric oxidation capacity in the receptor regions
(Ravishankara, 1997). Each year, 5–15 events of mineral dust import occur
in central Europe, each lasting 1–3 days (Papayannis et al., 2008; Flentje
et al., 2015). The TNA category includes backward trajectories
passing the Saharan boundary layer region (15–30<inline-formula><mml:math id="M356" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
15<inline-formula><mml:math id="M357" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W–35<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 0–2 km altitude; Engelstaedter et al.,
2006).</p>
      <p>The third transport class accounts for extratropical stratospheric
intrusions, which occur mainly in synoptic-scale processes such as
tropopause folds and cutoff lows near the polar or subtropical jet stream
(Stohl et al., 2003). Filaments of ozone-rich stratospheric air descend from
the lowermost stratosphere and proceed to the central European free
troposphere via several pathways (Trickl et al., 2010, 2011; Škerlak et
al., 2014). Mixing with tropospheric air might exhibit relatively long
timescales as little modification is reported even after several days of
transport (Trickl et al., 2014). In the following, Zugspitze backward
trajectories originating above the zonal mean tropopause (TP) at latitudes
above 20<inline-formula><mml:math id="M359" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N are assigned to the STI category (required minimum
residence time of 5 h above TP, which is penetrated at least once by
more than 1 km). Zonal mean tropopause altitudes were taken from ECMWF data
(European Centre for Medium-Range Weather Forecasts) as given in Eckhardt et
al. (2004). This TP definition is chosen as potential vorticity for a
dynamical TP definition is not provided within HYSPLIT.</p>
      <p>These long-range-transport categories (TUS, TNA, and STI) are expected to
have characteristic imprints on {H<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M361" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs observed at Zugspitze. Stratospheric intrusions
originate in the lowest few kilometers of the stratosphere (Trickl et al.,
2014, 2016), where moisture content is extremely low and the mean <inline-formula><mml:math id="M362" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
profile exhibits a minimum before increasing at higher altitudes due to
growing influence of isotopically heavier water vapor from methane oxidation
(Zahn et al., 2006; Steinwagner et al., 2010). Consequently, STI events
potentially import relatively dry and HDO-depleted air masses to the central
European troposphere. By contrast, TUS and TNA air masses originate in the
moist boundary layer and may transport relatively moist and less-HDO-depleted air masses to central Europe. However, strong WCB updraft
during TUS events may cause air mass dehydration and HDO depletion through
rainout (Rayleigh process).</p>
      <p>The resulting Zugspitze backward-trajectory categories obtained by the
transport criteria described above are presented in Fig. 6. Distributions of
deseasonalized VMR<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M364" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D for the corresponding classes of
free-tropospheric Zugspitze FTIR data (5 km a.s.l.) are depicted in Fig. 7.
Considering uncertainty of <inline-formula><mml:math id="M365" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE, mean
VMR<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M367" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values are significantly different for all three
transport classes (see Table 2). As expected, STI is associated with the
driest and most-HDO-depleted air masses. TNA is connected to moister and
less-depleted air, while TUS exhibits intermediate VMR<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M369" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values. The standard deviation of VMR<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> distributions is similar
for all transport classes (SD <inline-formula><mml:math id="M371" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv). In the case of
<inline-formula><mml:math id="M373" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distributions, TNA shows less scatter (SD <inline-formula><mml:math id="M374" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 34 ‰) than TUS (SD <inline-formula><mml:math id="M375" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 65 ‰)
and STI (SD <inline-formula><mml:math id="M376" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 73 ‰). This indicates a quite
homogeneous source region and transport regime for TNA. Larger scatter for
TUS might result from variable strengths of WCB uplift causing various
levels of dehydration and HDO depletion. Relatively large scatter in the
<inline-formula><mml:math id="M377" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distribution for STI events implies that air masses weakly
depleted in HDO are also observed during STI events. This could be for several
reasons: first, stratospheric intrusions with depths ranging from a few
hundred to several thousand meters are not necessarily resolved by the
relatively coarse vertical resolution of the FTIR <inline-formula><mml:math id="M378" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D product.
Second, as a climatological tropopause altitude is applied to identify STI
events, local and seasonal TP variations are not accounted for; i.e.,
(upper-)tropospheric trajectories might also be included in the STI class.
Third, mixing with tropospheric air might occur during transport from the
stratosphere, although this was found to be very slow in the free
troposphere (Trickl et al., 2014). Fourth, <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values in the lower
stratosphere might be less depleted than predicted from Rayleigh processes,
which is probably caused by extratropical troposphere–stratosphere
transport, e.g., by convectively lofted ice (Hanisco et al., 2007;
Steinwagner et al., 2010; Randel et al., 2012). All these mechanisms would
yield higher <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observations at Zugspitze than expected for STI
events from the <inline-formula><mml:math id="M381" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D minimum in the lower stratosphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Categorization of backward trajectories for long-range-transport
events: map projection (upper panel) and vertical cross section (lower
panel) for stratospheric intrusions, transport from North America, and transport from
northern Africa. Black boxes indicate source regions used to classify TUS
and TNA (see Table 2), and the black star marks Zugspitze.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>{H<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M383" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signatures of
long-range-transport events: distributions of deseasonalized <bold>(a)</bold> VMR<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>
and <bold>(b)</bold> <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D in the free troposphere above Zugspitze (5 km a.s.l.)
for stratospheric intrusions, transport from North America, and transport from
northern Africa as identified in Fig. 6. Vertical lines show the median and
25th–75th-percentile range of the distributions.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Free-tropospheric measurements of {H<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
<inline-formula><mml:math id="M387" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pairs above Zugspitze (5 km a.s.l.) for all
2005–2015 data and for long-range-transport events of stratospheric
intrusions, transport from North America, and transport from northern Africa.
Simulated Rayleigh and mixing processes are shown for comparison (compare
Fig. 5).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f08.png"/>

        </fig>

      <p>In analogy to Fig. 5, {H<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M389" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
data pairs for these long-range-transport patterns are interpreted by
comparison to theoretical Rayleigh and mixing lines as depicted in Fig. 8.
For TNA events, we derive from this analysis that moist boundary layer air
is imported to the free troposphere by means of dry convection without
significant condensation and cloud formation (González et al., 2016;
Schneider et al., 2016). Therefore, TNA air masses are less depleted in HDO
(higher <inline-formula><mml:math id="M390" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values). In the case of TUS events, either dry or moist
air masses can be imported to central Europe. TUS transport is generally in
line with simulated Rayleigh processes and suggests that moist TUS air
masses originate over warmer surfaces while drier TUS air masses have their
origin over colder regions. The STI category also largely agrees
with Rayleigh models. In the case of dry STI events, air masses seem to be
partially influenced by modeled mixing processes of dry upper-tropospheric
or lower-stratospheric air with free-tropospheric air masses.</p>
      <p>Overall, we find distinct {H<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M392" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
fingerprints in Zugspitze FTIR data for three categories of long-range-transport
patterns (TUS, TNA, and STI). The analysis presented shows that
consistent {H<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M394" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations
are applicable for studying atmospheric transport events to the central
European free troposphere.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Combination with lidar and in situ measurements of transport
tracers</title>
      <p>Transport categories analyzed in Sect. 4.2 identify backward trajectories
and FTIR measurements which are potentially influenced by long-range
transport of relevant atmospheric tracers to central Europe. However, this
analysis cannot determine whether tracers other than {H<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M396" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} were actually transported to a
significant extent along the trajectory to the receptor region. Actual
tracer transport would require substantial emissions in the respective
source region during air mass overpass and depends on tracer reactivity as
well as on meteorological conditions during transport to central Europe. In
the following, we use lidar and in situ observations of conventional
transport tracers (i.e., ozone, aerosols, and humidity) to identify events
of long-range tracer transport reaching the northern Alps and to analyze the
respective {H<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M398" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} signatures in
Zugspitze FTIR measurements.</p>
      <p>Ozone and aerosol lidar measurements obtained at the Garmisch site
(47.48<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 11.06<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 743 m a.s.l.) close to Zugspitze offer the possibility to detect long-range-tracer-transport events
reaching the northern Alps. We analyze Garmisch lidar observations in the period
2013–2015 to identify mineral dust import from northern Africa and
stratospheric air intrusions. Mineral dust transport from northern Africa
(TNA) becomes apparent in lidar profiles as elevated aerosol layers, which
are attributed to northern African origin by HYSPLIT trajectory analysis.
Stratospheric intrusions (STIs) appear in lidar profiles as layers with a
vertical extent from 200 m up to several kilometers, which exhibit
ozone enhancements of the order of 10 ppb or more relative to ozone
concentrations observed in the layers above and below. Corresponding layers
of low relative humidity (RH &lt; 10 %) are found in radiosonde
profiles recorded in Munich (48.25<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 11.55<inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 492 m a.s.l.) and in water vapor profiles from differential absorption lidar
measurements at Zugspitze (Vogelmann et al., 2015). These dry,
ozone-rich layers are assigned to being of stratospheric origin either by
4-day stratospheric-intrusion forecasts or by 315 h HYSPLIT trajectories
(Trickl et al., 2010).</p>
      <p>For the years 2013–2015, Garmisch lidar observations reveal 41 days
influenced by TNA events and 242 days of STI events from a total of 360
observation days. Coincident FTIR measurements at Zugspitze are available on
27 (136) days of these TNA (STI) days, which corresponds to 9 % (47 %)
of all FTIR measurement days in the 2013–2015 period. Figure 9 and Table 3
present distributions of deseasonalized daily mean IWV and <inline-formula><mml:math id="M403" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> for this compilation of FTIR measurements. For TNA days with
mineral dust transport, we find significantly higher mean IWV and less HDO
depletion (IWV <inline-formula><mml:math id="M405" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.47 [4.90, 6.05] mm, <inline-formula><mml:math id="M406" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">266</mml:mn></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M408" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>284,
<inline-formula><mml:math id="M409" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>247] ‰) than for all FTIR data in 2013–2015
excluding the TNA events (considering uncertainties of <inline-formula><mml:math id="M410" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE). This
result can be related to transport of less-depleted air masses from lower
altitudes and latitudes during TNA events. Additionally, mineral dust
transport requires that no condensation (i.e., dehydration and depletion)
occurred along the pathway to avoid wet deposition of aerosols. In contrast,
STI events show a tendency to lower IWV and stronger HDO depletion (IWV <inline-formula><mml:math id="M411" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>
4.18 [4.01, 4.34] mm, <inline-formula><mml:math id="M412" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">322</mml:mn></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M414" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>327, <inline-formula><mml:math id="M415" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>316] ‰) compared to all FTIR data excluding STI events
(significant difference if considering uncertainties of <inline-formula><mml:math id="M416" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SE; see Table 3). The broad <inline-formula><mml:math id="M417" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distribution for STI days is similar
to results found in Sect. 4.2 and can probably be explained by similar
arguments.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Distributions of deseasonalized daily mean IWV and <inline-formula><mml:math id="M418" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> data (FTIR Zugspitze) for STI and TNA events identified from
Garmisch lidar measurements in 2013–2015 given as mean <inline-formula><mml:math id="M420" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE (for
STI, mean <inline-formula><mml:math id="M421" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SE is also given).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Mean <inline-formula><mml:math id="M422" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 SE </oasis:entry>  
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">Mean <inline-formula><mml:math id="M423" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 SE </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">IWV (mm)</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M424" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> (‰)</oasis:entry>  
         <oasis:entry colname="col4">IWV (mm)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M426" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> (‰)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">STI</oasis:entry>  
         <oasis:entry colname="col2">4.18 [3.85, 4.51]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M428" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>322 [<inline-formula><mml:math id="M429" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>333, <inline-formula><mml:math id="M430" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>310]</oasis:entry>  
         <oasis:entry colname="col4">4.18 [4.01, 4.34]</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M431" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>322 [<inline-formula><mml:math id="M432" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>327, <inline-formula><mml:math id="M433" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>316]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">All w/o STI</oasis:entry>  
         <oasis:entry colname="col2">4.61 [4.29, 4.94]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M434" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>302 [<inline-formula><mml:math id="M435" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>312, <inline-formula><mml:math id="M436" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>292]</oasis:entry>  
         <oasis:entry colname="col4">4.61 [4.45, 4.77]</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M437" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>302 [<inline-formula><mml:math id="M438" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>307, <inline-formula><mml:math id="M439" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>297]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">All</oasis:entry>  
         <oasis:entry colname="col2">4.41 [4.18, 4.64]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M440" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>311 [<inline-formula><mml:math id="M441" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>319, <inline-formula><mml:math id="M442" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>304]</oasis:entry>  
         <oasis:entry colname="col4">4.41 [4.29, 4.52]</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M443" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>311 [<inline-formula><mml:math id="M444" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>315, <inline-formula><mml:math id="M445" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>307]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">All w/o TNA</oasis:entry>  
         <oasis:entry colname="col2">4.30 [4.05, 4.54]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M446" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>316 [<inline-formula><mml:math id="M447" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>324, <inline-formula><mml:math id="M448" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>308]</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">TNA</oasis:entry>  
         <oasis:entry colname="col2">5.47 [4.90, 6.05]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M449" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>266 [<inline-formula><mml:math id="M450" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>284, <inline-formula><mml:math id="M451" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>247]</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Distributions of deseasonalized daily mean IWV and column-based
<inline-formula><mml:math id="M452" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D for days identified as <bold>(a, b)</bold> stratospheric-intrusion events and
as <bold>(c, d)</bold> dust transport events from northern Africa. For comparison,
distributions for all FTIR measurement days in 2013–2015 are shown as well
as distributions excluding the respective transport events. Vertical lines
indicate median and 25th–75th-percentile range for each
distribution (STI/all without STI and TNA/all without TNA).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f09.png"/>

        </fig>

      <p>Frequently, stratospheric intrusions penetrate deep into the troposphere,
eventually reaching mountain summit observatories or even surface stations
(e.g., Eisele et al., 1999; Schuepbach et al., 1999; Stohl et al., 2000;
Lefohn et al., 2012; Lin et al., 2012; Itoh and Narazaki, 2016; Ott et al.,
2016). In the following, deep stratospheric intrusions (DSTIs) are defined as
STI events reaching the summit of Zugspitze. DSTI events can be detected
by in situ measurements of stratospheric tracers, such as high beryllium-7
(Be-7) and low relative humidity (Trickl et al., 2010). The cosmogenic
radionuclide beryllium-7 is a good, but not unambiguous, indicator for
stratospheric air, as it is produced mainly (i.e., to 67 %; Lal and
Peters, 1967) in the stratosphere. In a study on deep stratospheric
intrusions over central Europe, Trickl et al. (2010) examined criteria for
the detection of stratospheric air intrusions based on filtering Zugspitze
in situ measurements. In the following, these filtering criteria are applied
to identify deep stratospheric intrusions to the summit of Zugspitze.
The first indicator (flag 1) combines the occurrence of dry air masses (RH &lt; 60 %) with simultaneous high Be-7 concentrations (Be-7 larger
than the 85th percentile of its annual distribution). The second
indicator (flag 2) identifies DSTI events by means of the same relative
humidity threshold (RH &lt; 60 %) in combination with the occurrence
of very dry air masses (RH &lt; 30 %) within 6 h before or
after the respective measurement. As elaborated in Trickl et al. (2010),
these filtering criteria rather reliably verify stratospheric air intrusions
predicted by trajectory calculations based on operational ECMWF forecasts.
For the period 2005–2015, in situ measurements at Zugspitze provide 12 h
averages of Be-7 and hourly RH data (T. Steinkopff, personal communication, 2016),
which are displayed in Fig. 10. Periods of deep stratospheric intrusion are
marked as identified using flag 1. In addition, Fig. 10 shows coincident
FTIR observations of lower-tropospheric <inline-formula><mml:math id="M453" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (deseasonalized hourly
means of partial columns from 3 to 5 km a.s.l.). From a total of 6560
coincident hourly means in 2005–2015, 24 % are identified as DSTI events
when using in situ flag 1 and 38 % when using flag 2. The tendency of flag 2 to
cover more intrusion cases is expected from results in Trickl et al. (2010).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Deep stratospheric intrusions at Zugspitze in 2005–2015
derived from in situ observations of stratospheric tracers (relative
humidity and Be-7) using DSTI-flag 1 and coincident FTIR data of
lower-tropospheric <inline-formula><mml:math id="M454" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (deseasonalized hourly means of 3–5 km partial
columns).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Distribution of lower-tropospheric <inline-formula><mml:math id="M455" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (deseasonalized
hourly means) for deep-stratospheric-intrusion events identified from
Zugspitze in situ observations using two different flags (DSTI-flag 1: RH &lt; 60 % and Be-7 &gt; 85th percentile; DSTI-flag 2:
RH &lt; 60 % and 1 <inline-formula><mml:math id="M456" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> RH &lt; 30 % within <inline-formula><mml:math id="M457" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>6 h). For comparison the distribution is shown for all FTIR measurements
coincident with in situ data in 2005–2015 as well as all data excluding
DSTI events. Vertical lines indicate median and 25th–75th-percentile range of the distribution for DSTI-flag 1 and all data without
DSTI-flag 1.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/7635/2017/acp-17-7635-2017-f11.png"/>

        </fig>

      <p>The distribution of lower-tropospheric <inline-formula><mml:math id="M458" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D for deep-stratospheric-intrusion
events is depicted in Fig. 11. The mean value of
lower-tropospheric <inline-formula><mml:math id="M459" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D is significantly lower for DSTI events than
for the full time series without these events. It amounts to <inline-formula><mml:math id="M460" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>334 [<inline-formula><mml:math id="M461" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>337,
<inline-formula><mml:math id="M462" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>330] ‰ (mean <inline-formula><mml:math id="M463" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 SE) for DSTI-flag 1 and <inline-formula><mml:math id="M464" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>331 [<inline-formula><mml:math id="M465" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>334, <inline-formula><mml:math id="M466" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>328] ‰ for flag 2. For the full
time series excluding DSTI events from flag 1 (flag 2), the mean value is
<inline-formula><mml:math id="M467" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>284 [<inline-formula><mml:math id="M468" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>286, <inline-formula><mml:math id="M469" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>282] ‰ (<inline-formula><mml:math id="M470" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>274 [<inline-formula><mml:math id="M471" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>276, <inline-formula><mml:math id="M472" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>273] ‰). The mean of the full time series amounts to <inline-formula><mml:math id="M473" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>296
[<inline-formula><mml:math id="M474" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>298, <inline-formula><mml:math id="M475" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>294] ‰. Scatter of lower-tropospheric <inline-formula><mml:math id="M476" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distributions is about 70 ‰ for both DSTI flags.
Overall, both flags for the identification of deep stratospheric intrusions
from in situ observations provide consistent results with respect to the
distribution of lower-tropospheric <inline-formula><mml:math id="M477" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D derived from coincident FTIR
measurements. The significant shift of the lower-tropospheric <inline-formula><mml:math id="M478" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D
distribution to lower <inline-formula><mml:math id="M479" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values for DSTI events at Zugspitze agrees
with the conception of intrusions originating in the strongly HDO-depleted
lower-stratosphere region. Nevertheless, the <inline-formula><mml:math id="M480" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distribution for
DSTI events exhibits a relatively large scatter, which implies that weakly
depleted air masses are also found for DSTI events. This result is in line
with relatively broad <inline-formula><mml:math id="M481" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D distributions found for the STI
category in Sect. 4.2 and for STI events identified from lidar measurements
(see Fig. 9).</p>
      <p>Correlation analysis for all coincident measurements of lower-tropospheric
<inline-formula><mml:math id="M482" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (FTIR) and Be-7 (in situ) yields a significant negative
correlation (99 % confidence). Although this correlation is very weak
(correlation coefficient of <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.295</mml:mn></mml:mrow></mml:math></inline-formula>), it is in line with the negative
correlation expected, as Be-7 concentrations increase with altitude towards
the lower stratosphere, whereas <inline-formula><mml:math id="M484" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values decrease with altitude.
The low correlation coefficient can most plausibly be explained by the
different vertical sensitivity of in situ data compared to the
lower-tropospheric FTIR partial columns potentially influenced by various
different air masses and mixing.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>In this study, we presented a decadal time series of water vapor and
<inline-formula><mml:math id="M485" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D above Zugspitze (2005–2015) derived from mid-infrared FTIR
measurements within the NDACC framework, which are representative of central
European background conditions. The Zugspitze {H<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
<inline-formula><mml:math id="M487" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} data product provides an average DOFS of 1.6 for
consistent H<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and <inline-formula><mml:math id="M489" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D profiles with a maximum vertical
sensitivity in the free troposphere (around 5 km a.s.l.). For the time
period 2005–2015, we found no statistically significant trend of integrated
water vapor and column-based <inline-formula><mml:math id="M490" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D. However, the weakly positive
(insignificant) IWV trend can be reconciled with the significant temperature
increase at Zugspitze over this time period, assuming constant relative
humidity. Both IWV and <inline-formula><mml:math id="M491" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> exhibit strong seasonal cycles
with summer maxima and winter minima. In the {H<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
<inline-formula><mml:math id="M494" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} distribution plot, it becomes obvious that water
vapor isotope data provide additional information not contained in H<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
observations alone.</p>
      <p>Consistent {H<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M497" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations
are a valuable proxy for atmospheric transport pathways. We demonstrated the
potential of this new transport tracer by analyzing a compilation of
backward trajectories to the free troposphere above Zugspitze (5 km a.s.l.). Distinct moisture pathways to the central European free troposphere
were identified for days of extraordinarily high or low column-based
<inline-formula><mml:math id="M498" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observations at Zugspitze. While low-<inline-formula><mml:math id="M499" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D observations are
predominantly associated with descending dry air masses from higher
latitudes, high-<inline-formula><mml:math id="M500" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D data are mostly related to ascending moist air
masses from lower latitudes.</p>
      <p><?xmltex \hack{\newpage}?>Significantly different {H<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M502" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
signatures were found for three main long-range-transport pathways to
central Europe, i.e., stratospheric intrusions, intercontinental transport
from North America, and intercontinental transport from northern Africa. We identified Zugspitze FTIR
measurements influenced by these transport patterns by means of backward-trajectory
classification. The corresponding free-tropospheric VMR<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>
distributions exhibit mean values (<inline-formula><mml:math id="M504" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE) of 1.2 [1.1, 1.3] <inline-formula><mml:math id="M505" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv (STI), 2.4 [2.2, 2.6] <inline-formula><mml:math id="M507" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv
(TUS), and 2.8 [2.6, 2.9] <inline-formula><mml:math id="M509" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> ppmv (TNA). Mean
free-tropospheric <inline-formula><mml:math id="M511" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values are <inline-formula><mml:math id="M512" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>384 [<inline-formula><mml:math id="M513" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>397, <inline-formula><mml:math id="M514" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>372] ‰ (STI), <inline-formula><mml:math id="M515" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>315 [<inline-formula><mml:math id="M516" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>326, <inline-formula><mml:math id="M517" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>303] ‰ (TUS),
and <inline-formula><mml:math id="M518" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>251 [<inline-formula><mml:math id="M519" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>257, <inline-formula><mml:math id="M520" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>246] ‰ (TNA). The finding of distinct
{H<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M522" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} fingerprints was
validated for verified STI and TNA events, deduced by data filtering using
2013–2015 lidar and in situ measurements at Zugspitze and nearby Garmisch.
Mean values of IWV and <inline-formula><mml:math id="M523" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">col</mml:mi></mml:msub></mml:math></inline-formula> for these TNA (STI) events are
significantly different with respect to the rest of the time series
considering uncertainties of <inline-formula><mml:math id="M525" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE (<inline-formula><mml:math id="M526" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SE). Deep
stratospheric intrusions to Zugspitze (data filtering using 2005–2015
in situ humidity and beryllium-7 data) also reveal a significantly lower mean
value of lower-tropospheric <inline-formula><mml:math id="M527" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (3–5 km a.s.l.) than the full time
series considering uncertainties of <inline-formula><mml:math id="M528" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 SE.</p>
      <p>These results confirm the import of dry and strongly HDO-depleted air masses
expected for STI events, which originate in the extremely dry and
HDO-depleted lowermost stratosphere. STI events generally agree with
Rayleigh simulations but may be influenced by mixing processes of dry
lower-stratospheric air with free-tropospheric air masses. In contrast, TNA
air masses originate in the moist boundary layer and are associated with dry
convection and import of relatively moist and less-HDO-depleted air masses
to central Europe. TUS air masses also have their origin in the boundary
layer, and their humidity depends on the surface temperature of their oceanic
or continental source region. However, WCB updrafts during TUS events may
cause variable degrees of air mass dehydration and HDO depletion. Overall,
{H<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M530" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations add new
information to previous long-range-transport studies using lidar and in situ
measurements of conventional transport tracers (i.e., humidity, ozone,
beryllium-7, and aerosols), which offer the possibility to identify
transport events of relevant tracers actually reaching northern Alpine
stations.</p>
      <p>In future work, backward-trajectory classification for identifying STI events
could be improved, e.g., by application of a dynamical tropopause
definition. {H<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M532" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} observations
could also be combined with FTIR data of other relevant trace species, such
as ozone or carbon monoxide, for more reliable detection of transport
events. Furthermore, {H<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M534" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D}
profile information provided by FTIR measurements (approximately two
tropospheric partial columns) could be combined with lidar or radiosonde
humidity profiles with high vertical resolution, especially for studying
thin filaments of stratospheric air intrusions. Regarding long-term trends,
water vapor trends could be estimated for different transport categories to
investigate to what extent changing transport patterns contribute to
observed water vapor trends. Of particular importance would be research on
the connection between lower-stratospheric humidity trends, trends in the
frequency of stratosphere–troposphere transport events, and tropospheric
water vapor trends.</p>
      <p>Finally, combining {H<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M536" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} pair
measurements from all globally distributed NDACC sites with observations
from in situ and lidar networks and operational transport modeling could
provide a unique new database for studying the impact of atmospheric transport
with respect to climate, air quality, and human health. {H<inline-formula><mml:math id="M537" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M538" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D} data could serve as an indicator for the
presence of pronounced transport events at Zugspitze to initiate case
studies using observations of the respective relevant tracers (e.g.,
humidity, aerosols, ozone, pollen). On demand, further FTIR sites located
along simulated transport trajectories could be included.
Particular focus has to be put on deepening our knowledge of the coupling
of changing transport patterns in the global circulation, changes in the
intensity of the hydrological cycle, and climate change.</p>
</sec>

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

      <p>The data underlying this publication can be obtained at any time from the corresponding author on demand.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>We thank Hans Peter Schmid (IMK-IFU) for his continual interest in this work. We
gratefully acknowledge Frank Hase (IMK-ASF) for his support in using PROFFIT
and the NOAA Air Resources Laboratory for the providing the HYSPLIT
transport and dispersion model (<uri>www.ready.noaa.gov</uri>). Our work has been
funded by the Bavarian State Ministry of the Environment and Consumer
Protection via grant VAO-II TPI/01. We thank the Deutsche
Forschungsgemeinschaft and Open Access Publishing Fund of the Karlsruhe
Institute of Technology for support. This study has benefited from progress
achieved in the framework of the European Research Council project MUSICA
(FP7/(2007-2013)/ERC grant agreement number 256961).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication  were covered by a Research <?xmltex \hack{\newline}?> Centre of the Helmholtz Association.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Vincent-Henri Peuch<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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    <!--<article-title-html>A decadal time series of water vapor and D  ∕ H isotope ratios above Zugspitze: transport patterns to central Europe</article-title-html>
<abstract-html><p class="p">We present vertical soundings (2005–2015) of
tropospheric water vapor (H<sub>2</sub>O) and its D ∕ H isotope ratio (<i>δ</i>D)
derived from ground-based solar Fourier transform infrared (FTIR)
measurements at Zugspitze (47° N, 11° E, 2964 m a.s.l.).
Beside water vapor profiles with optimized vertical resolution (degrees of freedom for signal, DOFS,  =  2.8),  {H<sub>2</sub>O, <i>δ</i>D} pairs with consistent vertical
resolution (DOFS  =  1.6 for H<sub>2</sub>O and <i>δ</i>D) applied in this study.
The integrated water vapor (IWV) trend of 2.4 [−5.8, 10.6] % decade<sup>−1</sup> is statistically insignificant (95 % confidence interval).
Under this caveat, the IWV trend estimate is conditionally consistent with
the 2005–2015 temperature increase at Zugspitze (1.3 [0.5, 2.1] K decade<sup>−1</sup>), assuming constant relative humidity. Seasonal variations in
free-tropospheric H<sub>2</sub>O and <i>δ</i>D exhibit amplitudes of 140 and
50 % of the respective overall means. The minima (maxima) in January
(July) are in agreement with changing sea surface temperature of the
Atlantic Ocean.</p><p class="p">Using extensive backward-trajectory analysis, distinct moisture pathways are
identified depending on observed <i>δ</i>D levels: low column-based
<i>δ</i>D values (<i>δ</i>D<sub>col</sub> &lt; 5th percentile) are
associated with air masses originating at higher latitudes (62° N
on average) and altitudes (6.5 km)than high <i>δ</i>D values
(<i>δ</i>D<sub>col</sub> &gt; 95th percentile: 46° N,
4.6 km). Backward-trajectory classification indicates that {H<sub>2</sub>O, <i>δ</i>D} observations are influenced by three
long-range-transport patterns towards Zugspitze assessed in previous
studies: (i) intercontinental transport from North America (TUS; source
region: 25–45° N, 70–110° W, 0–2 km altitude), (ii)
intercontinental transport from northern Africa (TNA; source region:
15–30° N, 15° W–35° E, 0–2 km altitude),
and (iii) stratospheric air intrusions (STIs;
source region: &gt; 20° N, above zonal mean tropopause). The FTIR data exhibit
significantly differing signatures in free-tropospheric {H<sub>2</sub>O, <i>δ</i>D} pairs (5 km a.s.l.) – given as the mean
with uncertainty of ±2 standard error (SE) – for TUS (VMR<sub>H<sub>2</sub>O</sub>
 =  2.4 [2.3, 2.6]  ×  10<sup>3</sup> ppmv, <i>δ</i>D  =  −315 [−326,
−303] ‰), TNA (2.8 [2.6, 2.9]  ×  10<sup>3</sup> ppmv,
−251 [−257, −246] ‰), and STIs (1.2 [1.1, 1.3]  ×  10<sup>3</sup> ppmv, −384 [−397, −372] ‰). For TUS
events, {H<sub>2</sub>O, <i>δ</i>D} observations
depend on surface temperature in the source region and the degree of
dehydration having occurred during updraft in warm conveyor belts. During
TNA events (dry convection of boundary layer air) relatively moist and
weakly HDO-depleted air masses are imported. In contrast, STI events are
associated with import of predominantly dry and HDO-depleted air masses.</p><p class="p">These long-range-transport patterns potentially involve the import of
various trace constituents to the central European free troposphere, i.e.,
import of pollution from North America (e.g., aerosol, ozone, carbon
monoxide), Saharan mineral dust, stratospheric ozone, and other airborne
species such as pollen. Our results provide evidence that {H<sub>2</sub>O, <i>δ</i>D} observations are a valuable proxy for
the transport of such tracers. To validate this finding, we consult a
database of transport events (TNA and STI) covering 2013–2015 deduced by
data filtering from in situ measurements at Zugspitze and lidar profiles at
nearby Garmisch. Indeed, the FTIR data related to these verified TNA events
(27 days) exhibit characteristic fingerprints in IWV (5.5 [4.9, 6.1] mm) and
<i>δ</i>D<sub>col</sub> (−266 [−284, −247] ‰), which are
significantly distinguishable from the rest of the time series (4.3 [4.1,
4.5] mm, −316 [−324, −308] ‰). This holds true for 136
STI days considering uncertainties of ±1 SE (4.2 [4.0, 4.3] mm, −322
[−327, −316] ‰) with respect to the remainder (4.6
[4.5, 4.8] mm, −302 [−307, −297] ‰). Furthermore, deep
stratospheric intrusions to the Zugspitze summit (in situ humidity and
beryllium-7 data filtering) show a significantly lower mean value (−334
[−337, −330] ‰) of lower-tropospheric <i>δ</i>D (3–5 km a.s.l.) than the rest of the 2005–2015 time series (−284 [−286, −282] ‰)
considering uncertainty of ±2 SE. Our results
show that consistent {H<sub>2</sub>O, <i>δ</i>D}
observations at Zugspitze can serve as an operational indicator for
long-range-transport events potentially affecting regional climate and air
quality, as well as human health in central Europe.</p></abstract-html>
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