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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-15-8381-2015</article-id><title-group><article-title>Temporal variations of flux and altitude of sulfur dioxide <?xmltex \hack{\newline}?>emissions during volcanic eruptions: implications for <?xmltex \hack{\newline}?>long-range dispersal of volcanic clouds</article-title>
      </title-group><?xmltex \runningtitle{Temporal variations of flux and altitude of volcanic sulfur dioxide emissions}?><?xmltex \runningauthor{M.~Boichu  et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Boichu</surname><given-names>M.</given-names></name>
          <email>marie.boichu@univ-lille1.fr</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Clarisse</surname><given-names>L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8805-2141</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Péré</surname><given-names>J.-C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Herbin</surname><given-names>H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Goloub</surname><given-names>P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Thieuleux</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ducos</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Clerbaux</surname><given-names>C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tanré</surname><given-names>D.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Laboratoire d'Optique Atmosphérique, Université Lille 1, UMR8518 CNRS,  Villeneuve d'Ascq, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Spectroscopie de l'Atmosphère, Service de Chimie Quantique et Photophysique, Université Libre de <?xmltex \hack{\newline}?>Bruxelles, Brussels, Belgium</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Sorbonne Universités, UPMC Univ. Paris 06; Université Versailles St-Quentin; CNRS/INSU, LATMOS-IPSL, Paris, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">M. Boichu (marie.boichu@univ-lille1.fr)</corresp></author-notes><pub-date><day>28</day><month>July</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>14</issue>
      <fpage>8381</fpage><lpage>8400</lpage>
      <history>
        <date date-type="received"><day>18</day><month>December</month><year>2014</year></date>
           <date date-type="rev-request"><day>23</day><month>February</month><year>2015</year></date>
           <date date-type="rev-recd"><day>1</day><month>July</month><year>2015</year></date>
           <date date-type="accepted"><day>9</day><month>July</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015.html">This article is available from https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015.pdf</self-uri>


      <abstract>
    <p>Sulfur-rich degassing, which is mostly composed of sulfur dioxide
(SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), plays a major role in the overall impact of volcanism on the
atmosphere and climate.  The accurate assessment of this impact is
currently hampered by the poor knowledge of volcanic SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions. Here, using an inversion procedure, we show how
assimilating snapshots of the volcanic SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> load derived from the
Infrared Atmospheric Sounding Interferometer (IASI) allows for
reconstructing both the flux and altitude of the SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions with
an hourly resolution. For this purpose, the regional
chemistry-transport model CHIMERE is used to describe the dispersion
of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> when released in the atmosphere. As proof of concept, we
study the 10 April 2011 eruption of the Etna volcano (Italy), which
represents one of the few volcanoes instrumented on the ground for the
continuous monitoring of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> degassing.</p>
    <p>We find that the SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux time-series retrieved from satellite
imagery using the inverse scheme is in agreement with ground
observations during ash-poor phases of the eruption. However, large
discrepancies are observed during the ash-rich paroxysmal phase as
a result of enhanced plume opacity affecting ground-based ultraviolet
(UV) spectroscopic retrievals. As a consequence, the SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emission
rate derived from the ground is underestimated by almost one order of
magnitude.</p>
    <p>Altitudes of the SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions predicted by the inverse scheme are
validated against an RGB image of the Moderate Resolution Imaging Spectroradiometer (MODIS) capturing the near-source
atmospheric pathways followed by Etna plumes, in combination with
forward trajectories from the Hybrid Single Particle Lagrangian
Integrated Trajectory (HYSPLIT) model. At a large distance from the
source, modelled SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> altitudes are compared with independent
information on the volcanic cloud height. We find that the altitude
predicted by the inverse scheme is in agreement with snapshots of the
SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> height retrieved from recent algorithms exploiting the high
spectral resolution of IASI.  The validity of the modelled SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
altitude is further confirmed by the detection of a layer of particles
at the same altitude by the spaceborne Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP). Analysis of
CALIOP colour and depolarization ratios suggests that these particles
consist of sulfate aerosols formed from precursory volcanic SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
    <p>The reconstruction of emission altitude, through inversion procedures
which assimilate volcanic SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column amounts, requires
specific meteorological conditions, especially sufficient wind shear
so that gas parcels emitted at different altitudes follow distinct
trajectories. We consequently explore the possibility and limits of
assimilating in inverse schemes infrared (IR) imagery of the volcanic
SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> cloud altitude which will render the inversion procedure
independent of the wind shear prerequisite.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Among the various gaseous compounds released by volcanoes, sulfur
emissions are of major concern as they exert a fundamental role on the
atmosphere and climate <xref ref-type="bibr" rid="bib1.bibx59" id="paren.1"/>. The
impact on climate of major eruptions, which emit sulfur-rich gases
(and mainly sulfur dioxide; <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) directly into the
stratosphere, has long been recognized
<xref ref-type="bibr" rid="bib1.bibx51" id="paren.2"/>. In addition to major
eruptions, more frequent intermediate-size eruptions impacting the
lower stratosphere have also been pointed out as a possible cause of
the recent pause in the global warming trend
<xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx77 bib1.bibx55 bib1.bibx68 bib1.bibx69" id="paren.3"/>. Secondary
sulfate aerosols, which result from the oxidation of sulfur gases in
the atmosphere, are the main protagonists of this volcanic
forcing. Micron-size sulfate aerosols, whose lifetime may reach a few
years in the stratosphere, are capable of scattering solar radiation
and cause transient cooling of the atmosphere from regional to global
scales <xref ref-type="bibr" rid="bib1.bibx66" id="paren.4"/>. They may also
catalyze the destruction of the stratospheric ozone
<xref ref-type="bibr" rid="bib1.bibx76" id="paren.5"/>.</p>
      <p>In contrast, less powerful tropospheric eruptions are generally
considered harmless in terms of climatic impact. Indeed, in the
troposphere, aerosols are rapidly washed out by precipitations and
have a short lifetime
<xref ref-type="bibr" rid="bib1.bibx81" id="paren.6"/>. However, sulfate
aerosols may reduce ice crystal nucleation rate and impact the
properties of high altitude cirrus clouds which play a crucial role in
the climate system
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.7"/>. Furthermore,
even the degassing processes of lowest intensity, such as persistent
passive degassing outside of eruptive episodes, may provide a large
natural background of aerosols which may substantially affect the
properties of low altitude meteorological clouds and the radiative
state of the atmosphere
<xref ref-type="bibr" rid="bib1.bibx95 bib1.bibx73 bib1.bibx29" id="paren.8"/>.</p>
      <p>Apart from their climatic impact, volcanic sulfur-rich emissions may
also fuel episodes of considerable air pollution. Such pollution is
recorded both locally near the volcanic source as well as at a far
distance, as exemplified by two long-lasting icelandic eruptions, the historical
1783–1784 Laki eruption <xref ref-type="bibr" rid="bib1.bibx86" id="paren.9"/> and
the 2014–2015 eruption of Bardarbunga volcano <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx11" id="paren.10"/>.
Enhanced air pollution by sulfate particles was also recorded at a large distance for eruptions with much lower sulfur budgets
(e.g. in Germany on 19 April 2010 by the Eyjafjallajökull icelandic eruption <xref ref-type="bibr" rid="bib1.bibx3" id="altparen.11"/>).
Acid precipitations triggered by sulphur-rich emissions also have
detrimental effects on the environment and ecosystems
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.12"/>.</p>
      <p>The altitude of injection of volcanic sulfur in the atmosphere
strongly impacts the trajectory and long-range dispersal of sulfur
gases, but also their lifetime. Indeed, the amount of oxidizing agents
required for the oxidation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to sulfate aerosols as well
as the amount of precipitation depend on altitude at a first order
<xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx81" id="paren.13"/>. For its part, the release rate of sulfur dioxide integrated over the duration of the eruption determines the total mass
of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gaseous precursor emitted into the atmosphere.</p>
      <p>Volcanic emission flux and altitude are prone to significant
variations with time, even during the course of a single volcanic
event, as the type and intensity of eruptive activity are subject to
dramatic changes in response to complex magmatic and hydrothermal
processes taking place in the interior of the volcanic system
<xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx82 bib1.bibx8" id="paren.14"/>. Therefore,
a specific strategy for determining the flux and altitude of volcanic
sulfur-rich gas emissions has to be developed in order to improve the
characterization of the effects of volcanism on the atmosphere.  In
order to be applicable to both (1) remote volcanoes lacking any
monitoring facility on the ground, which is the rule rather than the
exception, and (2) volcanic events that might be so intense that
ground measurements become dysfunctional, such a strategy has to rely
on satellite observations.</p>
      <p>Volcanic flux can be reconstructed using satellite imagery according
to different methods involving various degrees of sophistication
<xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx52 bib1.bibx83 bib1.bibx48 bib1.bibx85" id="paren.15"/>. Among these,
inverse modelling approaches are currently capable of retrieving the
volcanic flux with an hourly temporal resolution using
a chemistry-transport model in combination with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
hyperspectral imagery
<xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx9" id="paren.16"/>. These
methods usually rely on independent information on the altitude of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at the source in order to initialize the
chemistry-transport model.</p>
      <p>On the other hand, reconstruction of altitude, independently of flux,
can be achieved from back trajectory studies by looking at the location
of a particular gas parcel at a particular time
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.17"/>. First attempts
at reconstructing flux and altitude simultaneously have focused on the
retrieval of the emission profile with altitude, assuming a constant
volcanic flux emitted on a short time span
<xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx45" id="paren.18"/>.  More recently,
strategies for inverting both flux and altitude in a single pass based
on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount (CA) maps have been proposed and
implemented on specific cases
<xref ref-type="bibr" rid="bib1.bibx54" id="paren.19"/>. However, the success
of such strategies strongly depends on the existence of sufficient
wind shear, either transverse to the plume or along the plume, in
order to distinguish different trajectories and/or advection
velocities for gas parcels emitted at different altitudes. Such
favourable conditions are not always met, depending on the
meteorological conditions that prevail at the time of the eruption, as
well as the range of emission altitudes during the eruption. For
instance, the recent May 2010 Eyjafjallajökull eruption has
provided an example where the volcanic cloud transport has been shown
to be less dependent on the assumed altitude of injection
<xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx8" id="paren.20"/>.</p>
      <p>In order to improve the robustness of inverse modelling schemes, it is now
becoming possible to assimilate independent observations of volcanic cloud
altitude derived directly from space imagery. These recently developed
algorithms allow for mapping the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud altitude using the same
hyperspectral images as the ones used for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> load estimation, which
makes them particularly suitable for a simultaneous inversion of flux and
altitude. Such algorithms have been developed for various sensors working in
the infrared (IR), such as IASI, or in the ultraviolet (UV)-visible, such as
OMI and GOME-2 <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx22 bib1.bibx93 bib1.bibx56 bib1.bibx65" id="paren.21"/>. These advanced products yield complementary
detection levels in terms of concentration and altitude.</p>
      <p>In this paper, we explore the possibility and limits of assimilating
volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> altitudes from spaceborne imagery in inverse
schemes. We focus on the case of the 10–11 April 2011 lava fountain
eruption of Etna volcano (Italy), which was captured by multiple
hyperspectral IR IASI satellite images. We combine <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column
amount observations derived from IASI with the Eulerian
chemistry-transport model CHIMERE, through an inverse modelling
procedure, so as to quantify the flux and altitude of emissions as
a function of time during the course of the eruption.</p>
      <p>We start with a comparison of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux determined by the
inversion against continuous <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rates measured from
a ground-based UV spectroscopic monitoring network installed on the
flanks of Etna. Such a comparison between space-derived emission rates
and ground observations is only possible under rare circumstances, as
few volcanoes are instrumented on the ground with such facilities
<xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx4 bib1.bibx35" id="paren.22"/>. This opportunity allows us to discuss
the possibility of combining both monitoring strategies (ground-based
versus space-based) in order to capture the full range of emission
rates that characterize the successive stages of an eruption.</p>
      <p>Furthermore, the consistency of the predicted altitudes is tested
against several independent sources of information.  First,
a high-spatial resolution RGB MODIS image capturing the volcanic cloud
at short range from the volcano is used to validate the estimations of
emission altitudes derived from our inversion. To do so, we use the
MODIS image in combination with forward trajectories from the
Lagrangian HYSPLIT model.  Second, semi-direct observations of the
volcanic cloud altitude at large distance from the source are
compared with our predictions. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> altitudes derived
directly from IASI images allow for assessing the potential bias
between our inversion results on one hand and the IASI advanced
algorithm on the other. Detection of the volcanic cloud captured by
a track of the spaceborne CALIOP lidar is also compared to our
estimated altitude. The potential implications in terms of
a simultaneous retrieval of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas and sulfate aerosol
components in volcanic clouds are discussed in light of the latter
comparison.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Inversion procedure</title>
<sec id="Ch1.S2.SS1.SSS1">
  <title>Chemistry-transport model</title>
      <p>The atmospheric dispersal of the volcanic cloud is described using the
CHIMERE Eulerian chemistry-transport model (CTM;
<xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx9" id="altparen.23"/>). The model accounts for various
physico-chemical processes affecting the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> released in the
atmosphere, including transport, turbulent mixing, diffusion, dry
deposition, wet scavenging and gas/aqueous-phase chemistry. However,
the conversion of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to sulfate aerosols is not implemented
in this study due to uncertainty on the numerous factors controlling
this process in a volcanic context. CHIMERE CTM is driven by
meteorological fields from the Weather Research and Forecasting (WRF)
model <xref ref-type="bibr" rid="bib1.bibx75" id="paren.24"/>, which is
forced by NCEP (National Centers for Environmental Prediction)
reanalysis data on a 6-h basis <xref ref-type="bibr" rid="bib1.bibx42" id="paren.25"/>. WRF meteorological fields have
a 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> horizontal grid and 30 hybrid
sigma-pressure vertical layers extending up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>19</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. CHIMERE CTM has the same horizontal resolution
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi><mml:mo>×</mml:mo><mml:mn>20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) but a finer vertical resolution
with 29 hybrid sigma-pressure vertical layers extending up to
150 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
are released along a Gaussian profile centered at a specific height
with a full width at half maximum of 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <title>Observations</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount maps were retrieved from measurements of the
Infrared Atmospheric Sounding Interferometer (IASI) carried on board
the polar-orbiting MetOp-A satellite
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.26"/>. Since 2007, global coverage has been
provided twice a day (mean overpass times at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>09</mml:mn></mml:mrow></mml:math></inline-formula>:30 and
21:30 local time at the Equator) with a pixel footprint of 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
diameter (at nadir) and full swath width of 2200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The
Fourier transform spectrometer spans a spectral range from 645 to
2760 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with no gaps, an apodized resolution of
0.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a sampling of 0.25 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. It covers
three bands of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption in the mid-infrared
<xref ref-type="bibr" rid="bib1.bibx21" id="paren.27"/>. Here, a series of four
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount maps (10 April 2011 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and p.m.,
11 April <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) was calculated
using the algorithm of
<xref ref-type="bibr" rid="bib1.bibx22" id="text.28"/>. After the retrieval of
the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> altitude, which is described in
Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>, an optimal estimation
scheme with generalized noise covariance, similar to the one of
<xref ref-type="bibr" rid="bib1.bibx17" id="text.29"/>, is used for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
column retrieval.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <title>Inversion settings</title>
      <p>The inversion procedure aims at reconstructing the temporal variations
of both the flux and the altitude of volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
with an hourly resolution. The inverse scheme uses satellite
observations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amounts in combination with
a chemistry-transport model as a forward model
<xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx9" id="paren.30"/>. The inverse
problem is solved by determining the time history of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions, in terms of flux and altitude, that minimizes (in the least
squares sense) the misfit between observed and modelled spatial and
temporal distributions of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the series of four IASI
images of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud (10 April a.m. and p.m.,
11 April a.m. and p.m.).</p>
      <p>The inversion procedure developed by
<xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx9" id="text.31"/> assumed a coexistence of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and aerosols above
the volcanic source, which is generally verified. The altitude of aerosol emissions, estimated from independent
radar ground observations, was hence used as a proxy of the altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions to reconstruct <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux emissions. Here, the algorithm
extends this procedure by considering the altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions as an additional
source parameter to reconstruct. Except for a nonnegative constraint
on flux values, no a priori knowledge on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux and emission
altitude is required in this inversion procedure. However, in order to
retain a reasonable number of parameters, we conducted preliminary
tests with nine candidate emission altitudes, ranging from
4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> to 12 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, with a spacing of
1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The lowest altitude is just above the altitude of Etna,
which culminates at 3.4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> Results showed that the
best fit to observations is reached with only two emission altitudes
at 4 and 7 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> Considering more than two altitudes
marginally improves the fit.</p>
      <p>A smoothing scheme is applied on the variations of flux with time only
(i.e. no smoothing is applied across different altitude bins). The amount of
smoothing is adjusted by a single meta-parameter in the
inversion, namely roughness (higher roughness values correspond to less smoothing). Figure <xref ref-type="fig" rid="Ch1.F1"/> shows how the misfit to
observations increases significantly for roughness values <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>0.56</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. However, as underlined by the logarithmic scale
for roughness axis in Fig. <xref ref-type="fig" rid="Ch1.F1"/>, the misfit remains almost constant for roughness exceeding 0.56 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is consequently chosen as the optimal roughness in our inversion scheme. The set of pixels corresponding to a mass load below
the detection threshold (null detection) is decimated by a factor 3 to both tackle numerical diffusion biases and attribute less
weight to null detection in the inverse scheme, as null detection may correspond to low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in reality <xref ref-type="bibr" rid="bib1.bibx8" id="paren.32"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Normalised RMS misfit in Dobson units (DU) as a function of solution roughness (t <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), using the time series of IASI
satellite observations from 10 April a.m. until 11 April p.m. 2011 in the inversion procedure. The optimal roughness is indicated in red.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f01.pdf"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Products used for validation</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Ground observations</title>
      <p>A network of nine ultraviolet (UV) spectrometers has been scanning
continuously the sky of Mt. Etna since 2005
<xref ref-type="bibr" rid="bib1.bibx67" id="paren.33"/>. On 10 April 2011, three out of
the nine spectrometers of the network intersected Etna's plume at
a distance of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> from the summit craters
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.34"/>. If
UV radiation received by these instruments is sufficient (i.e. during
daylight hours, under favourable meteorological conditions and during
eruptive periods emitting an optically thin volcanic plume), such
a network allows for monitoring the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux emitted by the
volcano with a temporal resolution of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula>. Hence, on
10 April 2011, Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rates could be measured from
7 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to 3 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.35"/>
allowing for the capture of the 10 April eruptive episode which,
fortunately, occurred mostly during daylight hours.</p>
      <p>A permanent network of 32 broadband seismic stations is installed on
Mt. Etna. The network is designed to monitor the temporal evolution of
the seismic tremor, which is continuous at Etna, and is closely
related to variations of the volcanic activity. Of interest here is to
explore the root mean square (RMS) amplitude of the seismic tremor
(smoothed on a 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula>-long sliding window in the frequency band
0.5–5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula>) recorded at the EBEL station, which is the closest
station to the south-east Crater (SEC) where the lava fountain
activity took place on 10 April.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Satellite observations</title>
      <p>The altitude of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud is retrieved from IASI
observations using the algorithm outlined in
<xref ref-type="bibr" rid="bib1.bibx22" id="text.36"/>, which estimates the
altitude independently from the column. Here we summarize the main
features of the algorithm and refer to the aforementioned study for
full details. Central is the use of a response function <inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>), which is a weighted vector projection of the observed IASI spectrum <inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> onto different
Jacobians representative of perturbations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at different altitudes <inline-formula><mml:math display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>.  These Jacobians are derived by perturbing a representative
background atmosphere with small amounts of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at different
altitudes. The retrieved altitude corresponds to that altitude for
which the response function reaches its maximum. The Jacobians at a given altitude were calculated numerically with the finite
difference method, i.e. from the difference of two forward modelled spectra with and without <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at that given altitude,
and with the rest of the atmospheric parameters representative of the geographical area we wish to study. For this study 30 Jacobians
were calculated representing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> perturbations from 1 up to 30 km.</p>
      <p>For the Nabro eruption, <xref ref-type="bibr" rid="bib1.bibx22" id="text.37"/> found from coincident CALIPSO and MLS observations that
the retrieved altitudes from this algorithm are typically accurate up to 1–2 km for all but the weakest concentrations (e.g. uncertainty is
greater at the edges of the plume). This algorithm does not rely on any a priori information on the
altitude. This is an appealing feature, as all of the extracted
information comes directly from the observed spectrum, and is not
being weighted with a priori information. However, for very small
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spectral signatures, this also means that the algorithm
can return unrealistic altitudes (typically, either very high or very
low altitude values). These outlier values are usually found at the
plume edges. The second peculiarity of this algorithm is that it does
not rely on an inverse model, nor on iterative fitting. Calculation of
the response function is almost instantaneous, and this makes the
algorithm highly suitable for Near Real Time (NRT)
applications. However, the use of a constant background atmosphere can
introduce a bias on the retrieved altitudes. This is especially the
case if the background water vapour atmospheric profile differs
significantly from the real one.</p>
      <p>Two Etna plumes leaving Sicily could be RGB-imaged on 10 April 2011
(12:30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>) using Level 1B radiances at three spectral bands
(459–479, 545–565 and 620–670 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>) of the MODerate
Resolution Imaging Spectroradiometer (MODIS) carried on-board the
polar orbiting AQUA satellite. Radiances are provided with
a resolution of 250 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> at nadir. Visible channels are rarely
used for volcanic applications due to the difficulty of unambiguously
discriminating volcanic clouds from other types of aerosols
<xref ref-type="bibr" rid="bib1.bibx96" id="paren.38"/>, compared to the IR
channels widely exploited for ash remote sensing
<xref ref-type="bibr" rid="bib1.bibx89 bib1.bibx62 bib1.bibx28" id="paren.39"/>. Here, the histogram of the number of pixels at each radiance level for the blue
channel of the RGB MODIS image was stretched in order to outline the presence of a thinner
plume which would otherwise remain invisible.</p>
      <p>A vertically resolved profile of the distant volcanic cloud of Etna
was acquired with the Cloud-Aerosol lidar with Orthogonal Polarization
(CALIOP), carried onboard the CALIPSO satellite, which is an elastic
backscatter lidar operating at 532 and 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. CALIOP lidar
observations have been used to provide snapshots of the vertical distribution of
volcanic aerosols along the satellite track from stratospheric
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.40"/> but also tropospheric
<xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx88" id="paren.41"/> eruptions of moderate
intensity. The Etna eruption studied here is of lower magnitude than
eruptions previously studied using CALIOP observations. Given the age
of the volcanic cloud at the time of intersection with the CALIOP
track (already 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula>-old according to the dispersal model), we
consequently expect to detect a relatively thin layer of
aerosols. However, we take advantage of a night track
(00:26 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> on 11 April 2011) which favours a higher signal to
noise ratio for the Level 1 total attenuated backscatter signal (i.e combined signal from molecular and aerosol backscattering) at
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. This allows for detecting the tenuous aged Etna
cloud. Information on the altitude, the total colour ratio (the integrated attenuated total colour ratio, defined as the ratio formed
by dividing the layer-integrated attenuated backscatter at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> by the layer-integrated attenuated backscatter at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>)
and the depolarization ratios (volume and particulate)
of both aerosol and cloud layers from CALIOP Level 2 products are used
to discriminate volcanic aerosols from surrounding upper-tropospheric
meteorological clouds.
Unfortunately, Etna plume drifted toward the South East for this eruption. It consequently travelled over the Mediterranean Sea
and did not overpass any ground-based lidar station which could have delivered less noisy lidar signals.</p>
      <p>The fraction of meteorological clouds present at a given IASI pixel is
estimated using the Cloud Cover Factor (CCF) from EUMETSAT IASI
Level 2 products <xref ref-type="bibr" rid="bib1.bibx5" id="paren.42"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Trajectory model</title>
      <p>The Hybrid Single Particle Lagrangian Integrated Trajectory (HYSPLIT)
model of the Air Resources Laboratory of the National Oceanic and
Atmospheric Administration (NOAA) is used to compute air parcel
trajectories <xref ref-type="bibr" rid="bib1.bibx27" id="paren.43"/>. For our application to Etna,
both forward and backward trajectories are calculated with HYSPLIT
which is driven by NCEP/GDAS (Global Data Assimilation System)
3-hourly meteorological reanalysis with a latitude/longitude
resolution of <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and 23 vertical layers
up to 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and validation</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{{$\chem{SO_{2}}$} flux emissions: ground {versus} satellite}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux emissions: ground versus satellite</title>
      <p>A series of four IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount maps (Fig. <xref ref-type="fig" rid="Ch1.F2"/> left) are used for constraining the
reconstruction of both flux and altitude of Etna's emissions by inverse modelling (histograms in Top of Fig. <xref ref-type="fig" rid="Ch1.F3"/>).
On the first map (Fig. <xref ref-type="fig" rid="Ch1.F2"/>a left), a few pixels indicate the presence of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> close to Etna on
10 April at around 08:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula><fn id="Ch1.Footn1"><p>All times are UT (Universal Time), unless otherwise specified.</p></fn>, which supports an eruption
start before this time. The assimilation of these acquisitions in the inverse scheme dates the first release of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between
05:00 and 07:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>, with a low flux of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. So early, UV radiation is insufficient for ground UV-spectrometers
to operate (top of Fig. <xref ref-type="fig" rid="Ch1.F3"/>, green line).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Maps of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amounts (DU) in the Etna volcanic cloud on 10 and 11 April 2011 (left) retrieved from
IASI observations acquired over a time window centered at the date indicated, and (right) simulated with the CHIMERE
chemistry-transport model initialized with emissions reconstructed by the inversion procedure. Regions in grey indicate column amounts <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>0.1</mml:mn></mml:mrow></mml:math></inline-formula> DU.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f02.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Etna emissions during the 10 April 2011 eruption. (Top) Temporal evolution of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
flux (t <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) measured from ground-based UV-DOAS observations during daylight hours
(from <xref ref-type="bibr" rid="bib1.bibx13" id="altparen.44"/>; green line) and retrieved
using the inversion procedure which assimilated IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount observations (histograms).
Yellow and pink areas indicate the proportion of the flux emitted at 4 and 7 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:math></inline-formula> respectively.
The dashed envelope corresponds to the total flux. The grey zone indicates presence of ash
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.45"/>. (Bottom) Root mean square
amplitude of the seismic tremor (0.5–5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula>) recorded at the station closest to the
south-east Crater where the eruption took place  (from <xref ref-type="bibr" rid="bib1.bibx13" id="altparen.46"/>).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f03.pdf"/>

        </fig>

      <p>Acquisition of the second image around 20:00 on 10 April highlights
a large <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud with a complex horseshoe shape, which could
suggest the existence of significant wind shear
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>b left). The location and mass load of
the part of the volcanic cloud with the highest <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount is well
reproduced (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b right). However, the
observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud appears thinner than in the model which does
not manage to fully reproduce its complex shape. This discrepancy may
be due to the overestimation of plume dispersion resulting from
numerical diffusion inherent to Eulerian models
<xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx8" id="paren.47"/>.</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud detections at distance from Sicily at 20:00 indicate that a large batch of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has been released
from Etna between the previous IASI detection at 8:00 and well before 20:00. Although IASI observations at 20:00 were acquired hours
after the end of the eruption, the assimilation in the inverse procedure of these data as well as observations acquired later on 11 April,
allows us to reconstruct in details the chronology of the gas emissions in the hours preceding the eruption, throughout the paroxysmal phase
and until the end of this episode of unrest (top of Fig. <xref ref-type="fig" rid="Ch1.F3"/>). After weak emissions characterized by low flux
values of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> early morning on 10 April, a significant increase of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux is observed from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>:00. This
increase is simultaneously measured with the ground network of UV-spectrometers which records similar flux values (up to
600 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; (top of Fig. <xref ref-type="fig" rid="Ch1.F3"/> – green line), well in excess of background values of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>62</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> recorded
between 8 and 9 April 2011 and early morning on 10 April <xref ref-type="bibr" rid="bib1.bibx13" id="paren.48"/>. Tremor amplitude,
which is commonly used to track changes of the volcanic activity at Etna <xref ref-type="bibr" rid="bib1.bibx1" id="paren.49"/>, also indicates
a simultaneous increase of the seismicity (bottom of Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>
      <p>Whereas most emissions were released before 10:00 at an altitude of 4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> according to the model, the
jump of emissions to a higher altitude (7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) seems to occur concurrently with the intensification of degassing
from 11:00. This escalation of the flux, reaching values up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between 12:00 and 13:00,
coincides with a sharp increase of the tremor seismic activity (bottom of Fig. <xref ref-type="fig" rid="Ch1.F3"/>).
Yet, although the paroxysmal phase is observed through flux values reconstructed from spaceborne observations and seismic
activity, ground UV observations instead record simultaneously a sharp decrease of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux around 11:00. In the same period of time, ash emissions start to be released
(<xref ref-type="bibr" rid="bib1.bibx13" id="altparen.50"/>;
grey area in Fig. <xref ref-type="fig" rid="Ch1.F3"/>), which reveals the increasing degree of explosivity of
the eruption and the occurrence of magma fragmentation triggering ash discharge. The comparison between ground and
satellite-derived fluxes therefore indicates a good agreement during ash-poor periods of the Etna eruption. In contrast,
the increasing plume opacity associated with the abundance of ash likely leads to an underestimation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emission rates derived from ground measurements, reaching almost an order of magnitude (a factor 8 here), during the ash-rich paroxysmal phase of the eruption.</p>
      <p>The existence of significant wind shear is confirmed by IASI acquisitions on
11 April at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>08</mml:mn></mml:mrow></mml:math></inline-formula>:00 and 18:30, which indicate a large elongation and
dispersion of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud (Fig. <xref ref-type="fig" rid="Ch1.F2"/>c and
d left). The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud covers now more than 1200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, only
12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> after the previous observations that indicated a much more
spatially concentrated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>b left). The model is able to reproduce the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud elongation as well as the gradients of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> load
within the plume (Fig. <xref ref-type="fig" rid="Ch1.F2"/>c and d right).
Nevertheless, we find a discrepancy between observations and model on
these days. The observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud appears extremely narrow which is
in disagreement with the model. Numerical diffusion may induce more spreading
of the modelled volcanic cloud than observed. Also, in case of a lower
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> load, the presence of thick meteorological clouds close to the
core of the plume on 11 April a.m. and p.m. maps, illustrated by the
cloud cover fraction from Eumetsat IASI Level 2 products, can hamper the
detection of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, leading to artifactual gaps in observations
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>c and d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Maps of the cloud cover factor (CCF). The Etna IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud is shown in grey in the background.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f04.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>(Left) MODIS/AQUA RGB image of Etna plumes on 10 April 2011 at 12:30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> obtained
from visible channels. (Right) Same as left panel, overlaid with the forward trajectories from
the Lagrangian HYSPLIT model initialized with (yellow line) an emission at 4<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>
starting at 09:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> and (pink line) an emission at 7<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> starting at
11:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> in agreement with the modelled source term with the inversion procedure (same colour
code as in Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Trajectories are computed until 13:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Altitude of emissions and near-source {$\chem{SO_{2}}$} cloud}?><title>Altitude of emissions and near-source <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud</title>
      <p>Modelling and IASI acquisitions show a relatively compact <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
cloud composed of two linked pieces on
10 April p.m. (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b). In contrast,
subsequent maps indicate a torn apart, elongated plume
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>c and d). This behaviour demonstrates
the existence of an intense wind shear in the meteorological fields
leading to very different trajectories followed by parts of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud initially originating from a single location. Such
an example illustrates the necessity and importance of rigorously
accounting for the varying altitude of emissions in order to
accurately describe the long-range dispersal of volcanic clouds.</p>
      <p>The temporal evolution of the emission altitude reconstructed with the
inversion procedure indicates emissions mainly at
4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, i.e. 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> above the summit of Etna,
until 10:00 on 10 April (top of
Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Afterwards, a rapid
increase of the altitude, from 4 to 7 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, is recorded
little ahead of the paroxysmal phase of the eruption, the latter being
characterized by a substantial increase of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux and
intense ash emissions. This result is consistent with the common
observation on volcanoes of an increase of the altitude of emission
coincident with increasing ash release rate
<xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx49" id="paren.51"/>.</p>
      <p>These modelled emissions, with contrasting altitudes in a meteorological field
prone to intense wind shear, are expected to fuel plumes that subsequently
follow different trajectories. Such variations in the altitude of the
emissions are confirmed by the MODIS observations acquired at 12:30, shortly
after the paroxysm (Fig. <xref ref-type="fig" rid="Ch1.F5"/> left). Thanks to
favourable meteorological conditions around Sicily, MODIS radiances at three
channels in the visible spectrum (RGB) can be used to track volcanic plumes.
The histogram which represents the distribution of the number of pixels at each radiance level, for the blue channel of
the RGB MODIS image here, has been stretched to enhance fainter parts of the image and provide a higher contrast. Thanks
to this image processing, we are able to visualize two Etna plumes travelling out from Sicily, including the weakest one
associated to low radiances. These two plumes, showing different opacities, follow different directions.</p>
      <p>To validate the modelled altitude of emissions, we run the HYSPLIT trajectory
model in forward mode. HYSPLIT test is initialized with a first emission at
an altitude of 4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> at 09:00 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and a second
emission at 7 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> at 11:00 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> which coincides with
the start of the paroxysmal phase. The trajectory is computed until 13:00,
the closest time to the MODIS acquisition at 12:30 given the hourly
resolution of HYSPLIT. Computed trajectories are in perfect agreement
with the direction of the two plumes visible on the RGB MODIS image (Fig. <xref ref-type="fig" rid="Ch1.F5"/> right).
Uncertainties on modelled trajectories have been evaluated by varying the altitude of emissions initializing HYSPLIT runs by <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F5"/> right).
Whereas the HYSPLIT trajectory for a 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>-high emission at 09:00 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> is in agreement with the direction of the Etna plume described by the RGB MODIS image, emissions injected at the same time at an altitude of 3 or 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> follow very different paths.
Concerning emissions at 11:00 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, they follow a similar direction whatever their altitude of injection (at 6, 7 or 8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).
However, the velocity of the volcanic plume is drastically different depending on the altitude of emission. Precisely, the velocity increases
with the altitude of emissions. Hence, only the HYSPLIT trajectory computed with a 7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>-high emission as input is able to reproduce the
length of the volcanic plume observed with the RGB MODIS image. These results consequently attest to the weak uncertainty on the altitude of
emissions deduced from HYSPLIT runs. They also validate the altitudes and the good timing of the modelled emission retrieved from the inversion procedure.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Far-range altitude of the {$\chem{SO_{2}}$} cloud}?><title>Far-range altitude of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud</title>
<sec id="Ch1.S3.SS3.SSS1">
  <?xmltex \opttitle{IASI {$\chem{SO_{2}}$} altitude}?><title>IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> altitude</title>
      <p>IASI column amounts were used in the inversion procedure to
reconstruct the rate and altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. We compare
here the altitude of the dispersed Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud predicted by
the model (Fig. <xref ref-type="fig" rid="Ch1.F6"/> right) against the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> height retrieved independently using recently developed
algorithms exploiting the high spectral resolution of IASI
observations (<xref ref-type="bibr" rid="bib1.bibx22" id="altparen.52"/>;
Fig. <xref ref-type="fig" rid="Ch1.F6"/> left). At a given pixel, the
modelled altitude corresponds to the altitude at the middle of the
layer with a maximal <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Maps of the altitude (k<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) of the Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud on 10 and
11 April 2011 (left) retrieved from IASI observations and (middle) predicted by the forward
CHIMERE chemistry-transport model initialized with emissions reconstructed from the inversion procedure
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). (Right) Scatter plot of IASI altitudes with modelled altitudes.
Symbol colour and size depend on observed IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount (DU).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f06.pdf"/>

          </fig>

      <p>Overall, we observe an agreement between modelled and observed
altitudes which follow the same trend within the volcanic
cloud. Whereas the Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud on 10 April p.m. presents
a relatively compact shape, we observe that it covers a broad range of
altitudes (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b). These
variations likely result from the rapid variations of the altitude of
emission with time (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The
Western part of the horseshoe shape lies at an altitude between 4 and
6 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> according to model and observations. The Eastern
part reaches an altitude of up to 9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> with the model while
IASI indicates altitudes up to 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The two parcels undergo
an intense wind shear over this range of altitudes, explaining their
very different trajectories. This fuels a substantial elongation of
the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud, with ending parts lying at drastically
different altitudes. This feature is well described by model and
observations (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c and
d). Nevertheless, apart from isolated points with a very high altitude
above 11 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, IASI always detects the Eastern part of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud a few kilometres higher than the model. These
outlier values likely correspond to noisy spectra, often at the edge
of the volcanic cloud, with a too weak <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> signature to
extract any information from them.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <title>HYSPLIT backward trajectories</title>
      <p>The modelled altitude of the far-range <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud is also
compared with the results obtained from HYSPLIT backward trajectories
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>). On 11 April at
08:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>, the modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud (colocated in time and
space with IASI observations,
Fig. <xref ref-type="fig" rid="Ch1.F6"/>c) is significantly elongated
(top of Fig. <xref ref-type="fig" rid="Ch1.F7"/>). This date is chosen
for comparison with HYSPLIT as it allows us to select parts of the
volcanic cloud that are geographically distant from each other, which
reduces the uncertainty in HYSPLIT outputs.</p>
      <p>HYSPLIT indicates that the trajectories initiated at the front of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud, which has almost reached the south-east corner of
the Mediterranean Sea, have to start at an altitude between 7 and
8 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to reach Etna in backward mode (bottom right of
Fig. <xref ref-type="fig" rid="Ch1.F7"/>). This range of altitudes for
the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> front is in agreement with the modelled altitude
between 7 and 8.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. HYSPLIT trajectories initiated at the
tail of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud, above Libya, have to start at an
altitude between 4 and 5 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to reach back the Etna
(bottom left of Fig. <xref ref-type="fig" rid="Ch1.F7"/>). This is
also in agreement with modelled altitudes between 4 and 5.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Comparison of the altitude (k<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) of the dispersed Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud on
11 April 2011 08:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> (top) simulated with the CHIMERE chemistry-transport model,
initialized with emissions reconstructed by the inversion procedure and (bottom) deduced from
HYSPLIT backward trajectories starting from two opposite extremities of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud
either above Libya (32.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 21.0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; bottom left) or offshore Egypt (33.0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 29.0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; bottom right).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f07.pdf"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <title>CALIOP spaceborne lidar observations</title>
      <p>A single track of the CALIOP lidar encountered the Etna volcanic cloud, on 11 April at about 00:26 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>.
Spaceborne lidar observations do not directly measure gaseous <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> but
can detect aerosols of various type within the volcanic cloud, either sulfate
aerosols or ash <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx88" id="paren.53"/>. Nevertheless, sulfate
aerosols, which are produced by conversion of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gaseous
precursor during its transit in the atmosphere, may co-exist with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
within the volcanic cloud. This co-existence is confirmed here by the
exploration of the Level 1 and Level 2 CALIOP products and allows us to
validate the modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud altitude by independent observations.</p>
      <p>Our model, based on the assimilation of IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column
amounts, predicts an <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud at an altitude between 6.4 and
7.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> at the location and time of the CALIOP track
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>). According to the
simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maps, the CALIOP track has crossed parts of the
plume that would have already travelled, at that time, over
1300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, being 12–15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> old. We consequently expect
CALIOP to detect a diluted volcanic cloud, although modelled
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maps predict that this track would cross the densest part
of the volcanic cloud (bottom of
Fig. <xref ref-type="fig" rid="Ch1.F8"/>). Indeed, the CALIOP total
attenuated backscatter signal at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> detects a weak signal,
yet above the noise level, at the location of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud
predicted by the model (top of
Fig. <xref ref-type="fig" rid="Ch1.F8"/>). For latitudes between 34.3
and 35.3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, algorithms delivering CALIOP Level 2 products
analyze this signal as the result of an aerosol layer between 7 and
7.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> of altitude (bottom of
Fig. <xref ref-type="fig" rid="Ch1.F9"/>). The detection of
this thin layer of aerosols benefited from the higher signal-to-noise
ratio characterizing night tracks and from its high altitude placing
this layer as the first one encountered by the laser beam. The rest of
the aerosol layer predicted by the model at latitudes below
34.3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N may produce too weak of a signal to exceed the level of
noise.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>CALIOP track crossing the Etna volcanic cloud on 11 April 2011 00:27 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>. (Top) CALIOP
total attenuated backscatter signal at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. (Bottom) Cross-section and dispersion map of
the modelled Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud at the time and location of the CALIOP track.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f08.jpg"/>

          </fig>

      <p>This aerosol layer is characterized by a small total colour ratio of
0.16 in average (up to a maximum of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.32</mml:mn></mml:mrow></mml:math></inline-formula> if we take into account the large uncertainty on colour ratios due to backscatter
signals of low intensity), which is far lower than the colour ratio of neighbour meteorological clouds
in 0.5–0.8 (top of
Fig. <xref ref-type="fig" rid="Ch1.F9"/>). Such a low total
colour ratio indicates aerosols of small size and represents a value
among the lowest that can be detected from spaceborne lidar
observations <xref ref-type="bibr" rid="bib1.bibx87" id="paren.54"/>.</p>
      <p>Particle depolarization depends on the aerosol shape and has been used to
discriminate spherical particles, such as sulfate aerosols or liquid water
droplets, from non-spherical particles (ash, ice crystals) in volcanic clouds
<xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx92 bib1.bibx57" id="paren.55"/>. Whereas the particle depolarization ratio
at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> falls in the range 0.17–0.6 for volcanic ash according to ground- and space-based lidar observations
<xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx91 bib1.bibx37 bib1.bibx26 bib1.bibx92 bib1.bibx60" id="paren.56"/>
and 0.3–0.5 for cirrus ice crystals
<xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx70 bib1.bibx74" id="paren.57"/> (Fig. <xref ref-type="fig" rid="Ch1.F10"/>), particles with a near-spherical shape are expected to present
a ratio close to zero. Here, the detected layer of Etna aerosols presents a low
particulate depolarization ratio of 0.08 on average (up to a maximum of 0.16 if we take into account uncertainties), far lower than the ratios
characterizing neighbour meteorological clouds which evolve at the same
altitude, in the range 0.29–0.41 (middle of
Fig. <xref ref-type="fig" rid="Ch1.F9"/>) and lower than the range of ratios characterizing volcanic ash recorded in the literature (Fig. <xref ref-type="fig" rid="Ch1.F10"/>). Aerosols characterized by
such a small particulate depolarization ratio tend to be spherical. However,
we note a particle depolarization ratio (0.08) slightly larger than the very
low volume depolarization ratio (0.025) for these aerosols, which may
indicate a small component of non-sphericity
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.58"/>.</p>
      <p>In conclusion, according to colour and depolarization lidar ratios, Etna aerosols observed in this study are fine and rather
spherical in shape. As a consequence, they likely correspond to sulfate aerosols with lidar characteristics similar to those observed for sulfate
aerosols in stratospheric volcanic clouds <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx46" id="paren.59"/>.
The slight component of non-sphericity might suggest that these aerosols, which
travel at the same altitude as neighbour cirrus clouds, could play the role of
ice nuclei and represent partially crystallized sulfuric acid droplets <xref ref-type="bibr" rid="bib1.bibx72" id="paren.60"/>. As
ash particles were emitted during this eruption of Etna <xref ref-type="bibr" rid="bib1.bibx13" id="paren.61"/>, we cannot entirely
exclude the existence of very fine ash particles, which have not yet settled down, and may present a more spherical shape than expected due to their coating by sulfate aerosols.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>CALIOP track crossing the Etna volcanic cloud on 11 April 2011 00:27 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>. (Bottom)
Altitude (top and base) of the highest layer of aerosols (blue, red) or meteorological clouds
(green, orange) retrieved from Level 2 CALIOP analysis is superimposed on the total attenuated
backscatter signal at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. White, black and dashed contours indicate respectively Etna
modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, collocated aerosols and neighbour meteorological clouds. (Middle) Volume and
particulate depolarization ratios for aerosols (blue, red) or clouds (green, orange). Maximum
uncertainty on particulate depolarization ratios of Etna aerosols is indicated (uncertainties on
volume depolarization ratios are smaller than symbol size). (Top) Total colour ratio for aerosols (blue) or clouds (green).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Depolarization ratios of (red) Etna aerosols detected by CALIOP in the 12–15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula>-old
plume (Fig. <xref ref-type="fig" rid="Ch1.F9"/>, middle) in this study (cross indicates
mean value while error bar includes both the range of variability and uncertainties), compared with
the range of ratios recorded in the literature for (blue) volcanic ash <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx91 bib1.bibx37 bib1.bibx26 bib1.bibx92 bib1.bibx60" id="paren.62"/> and (green) cirrus ice clouds <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx70 bib1.bibx74" id="paren.63"/>.</p></caption>
            <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f10.pdf"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Complementarity with ground- and space-based ultraviolet observations</title>
      <p>Results presented in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>
demonstrate that methods based on satellite imagery are capable of
constraining the temporal evolution of large <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes
emitted by volcanoes during paroxysmal eruptive phases. On the other
hand, ground UV measurements are less likely to succeed in such
conditions, as previously illustrated by the 2010 eruption of
Mt. Merapi (Indonesia; <xref ref-type="bibr" rid="bib1.bibx83" id="altparen.64"/>).</p>
      <p>Indeed, large gas emissions are generally concomitant with abundant
ash discharge. When a gas-rich magma rises in the crust toward the
surface, magma pressure decreases, favouring volatile exsolution and
gas bubble nucleation
<xref ref-type="bibr" rid="bib1.bibx58" id="paren.65"/>. Further
decompression fuels the growth of these gas bubbles. When bubbles are
expected to occupy a large volume of the erupting mixture exceeding
the threshold of 70–80 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>, magma fragmentation takes place
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.66"/>. Violently expanding bubbles tear
the magma apart into fragments which are ejected into the atmosphere,
where they solidify into ash particles.</p>
      <p>The significant plume opacity associated with the abundance of ash may
explain the underestimation of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (by a factor of up
to 8 here at Etna) by ground UV-DOAS observations during ash-rich
phases of the eruption relative to flux values reconstructed from
satellite IR
observations. <xref ref-type="bibr" rid="bib1.bibx44" id="text.67"/>
pointed out the significant underestimation (up to 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>) of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rates for high <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column density plumes
with conventional DOAS (Differential Optical Absorption Spectroscopy)
retrieval of ground UV observations which do not take into account
a realistic radiative transfer. Plume opacity associated with abundant
ash load is expected to be greater than the opacity of high-<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> density plumes.</p>
      <p>Accordingly, infrared IASI spaceborne observations are also sensitive
to the presence of ash. However, the influence of ash presented here
is minimized by the use of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> band of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for its
retrievals. This band around 7.4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, lies well outside the
8–12 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spectral window where ash has its largest impact. Despite
this, it is known that very heavy ash loadings can affect also the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> band <xref ref-type="bibr" rid="bib1.bibx21" id="paren.68"/>. While the IASI
retrieval algorithm which has been employed here has not been
investigated yet for the effects of such thick ash clouds, an
inspection of the spectra on 10 April revealed almost no detectable
ash. Ash emissions may likely consist of mainly coarse particles which
had already settled down at the time of IASI overpass. Possible
impact of ash on the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> IR retrievals can therefore be
excluded for this event. This property of IR observations is
fundamental to counterbalance the weaknesses of UV sensors. In
addition, thermal IR channels also allow for delivering images of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud at night, which brings more information on the
volcanic cloud dispersal compared to UV observations acquired only
during daylight hours.</p>
      <p>Nevertheless, the complementarity of IR and UV spaceborne sensors should not be
overlooked. Although UV satellite acquisitions from sensors like the
Ozone Monitoring Instrument (OMI) are less frequent, they have the
advantage of imaging <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> clouds in very humid conditions and
at low altitude (i.e. below 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>:
<xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx83 bib1.bibx50" id="altparen.69"/>). For its part, IR IASI sensor
requires relatively dry conditions and a large thermal contrast
between the ground and the air (as in Siberia), to gain sufficient
sensitivity for the monitoring of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the
boundary layer <xref ref-type="bibr" rid="bib1.bibx6" id="paren.70"/>.  In the near future, the
assimilation in our inversion procedure of both IR and UV observations
in synergy should allow us to benefit from the complementary
advantages of these various sensors. Unfortunately, such a synergy
could not be achieved in this study. OMI observations of the volcanic
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on 10 April 2011 could not be exploited here as they were
largely hampered by the row anomaly, which has affected the quality of
the Level 1B radiance data for a particular viewing direction since
2007. A more detailed description of the OMI row anomaly is available at
<ext-link xlink:href="http://www.knmi.nl/omi/research/product/rowanomaly-background.php">www.knmi.nl/omi/research/product/rowanomaly-background</ext-link>.
Furthermore, the Ozone Mapping and Profiler Suite (OMPS) sensor
was not launched at the time of the eruption of Etna
<xref ref-type="bibr" rid="bib1.bibx94" id="paren.71"/>.</p>
      <p>This study has shown that ground-based UV observations miss a large
part of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted by volcanoes during ash-rich
eruptions. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux is widely used in volcanology for tracking
changes in the volcanic activity and providing crucial indications for
eruption forecasting and hazard assessment
<xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx59 bib1.bibx83" id="paren.72"/>. At Etna,
ground-based derived <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate was observed to
drastically decrease, whereas the degassing and tremor seismicity were
in reality escalating during the paroxysmal period of the activity
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Therefore, temporal
variations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux delivered by ground UV-observations
have to be treated with caution when degassing and volcanic activity
intensify. We note that thermal observations, which are commonly used
to monitor the volcanic activity as well, were also hampered by the
abundance of ash within the plume
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.73"/>.</p>
      <p>These discrepancies between ground and spaceborne evaluations of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes challenge our present estimates of the global
degassing of sulfur compounds by volcanoes
<xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx39" id="paren.74"/>, which may have been
significantly under-estimated.  Furthermore, the techniques for
estimating the abundance of other major chemical compounds degassed by
volcanoes (e.g. water, carbon dioxide (CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), hydrogen sulfide
(H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>S), halogen halides (including HCl, HF, HBr, etc.) do
not directly measure the flux of a specific species. These methods,
either Fourier Transform Infrared Spectroscopy or in situ sensing,
measure the ratio of concentrations of the specific compound
relative to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The flux of these gas species is then
calculated by multiplying the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux, generally estimated
using UV-spectroscopy, by this ratio
<xref ref-type="bibr" rid="bib1.bibx64" id="paren.75"/>. A revised
inventory of volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> release should provide a deeper
understanding of the broad impact on atmosphere and climate of the
large panel of volcanic emissions.</p>
      <p>Notwithstanding, today, only ground-based methods based on UV-DOAS
spectroscopy are sensitive enough to detect the low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes that
characterize pre-eruptive phases or persistent passive volcanic degassing
<xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx4 bib1.bibx7 bib1.bibx84" id="paren.76"/>. At Etna, we were able to
detect by assimilation of IASI satellite imagery low pre-eruptive fluxes of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> early morning
between 5:00 and 7:00. These emissions occurred just a few hours before IASI
overpass at 08:00, so that they were less affected by dispersion. As
a consequence, they can be used to provide an estimation of the minimum level
of satellite detection in terms of flux. However, this detection level is variable with
time due to plume dispersion. Indeed, for a given flux value, the possibility
to maintain a sufficient column amount in the volcanic cloud decreases as the
time interval between the date of emissions and the satellite overpass time
increases. The increasing spatial and spectral resolution of forthcoming
infrared sensors, such as IASI-NG <xref ref-type="bibr" rid="bib1.bibx24" id="paren.77"/>, should provide
a better monitoring of volcanic degassing of low intensity.</p>
      <p>For now, gathering ground-based and spaceborne <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements is therefore crucial in order to achieve reliable
estimates of the release rate of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, both during quiescent and eruptive periods. So far, few
attempts have been made at comparing observations of volcanic
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> acquired by satellite and by ground measurements
<xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx16 bib1.bibx52" id="paren.78"/>. The main reason for
this is that spaceborne or ground-based instruments generally do not
measure the same physical quantity in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> clouds, but rather
measure the integrated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount in a line of sight
that is specific to the instrument. Most of the time, a rigorous
comparison of results obtained by the two methods (ground- vs.
satellite-based) can only be achieved by an estimation of a common
parameter, such as the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux emitted at the source. Our
method of assimilation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> satellite observations using
inversion schemes paves the way for the hybridization of ground- and
spaceborne-<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations from various UV and IR sensors in
an automatic manner.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{Strategy towards the assimilation of {$\chem{SO_{2}}$} cloud height imagery}?><title>Strategy towards the assimilation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud height imagery</title>
      <p>By comparing the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud altitudes predicted by the
inversion against altitudes derived from the analysis of IASI
observations, we find a general agreement. This agreement is
highlighted by the linear regression (applied on data without outlier values, as detailed below) with a slope near to unity
in
Fig. <xref ref-type="fig" rid="Ch1.F11"/> (correlation coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:math></inline-formula>). Nevertheless,
we may observe a scatter of the IASI altitudes that increases with
model altitude. A systematic bias toward IASI altitudes most often
larger than modelled ones may also be noticed. This bias is nevertheless small, as illustrated by the low value of the
<inline-formula><mml:math display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>-intercept of the linear regression model (equal to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) given the vertical resolution of the CHIMERE
CTM with layer thickness up to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> for altitudes <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and uncertainties of 1–2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> on IASI altitudes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Scatter plot of the altitude of the Etna <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud retrieved from IASI observations with
the modelled altitude predicted with the CHIMERE model initialized with emissions reconstructed from
the inversion of IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amounts (DU). All data from 10 April a.m. to 11 April p.m. 2011
are included. Symbol colour and size depend on IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount (DU). Open circles correspond
to IASI outlier altitudes discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>, associated
to pixels with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> CA <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.3 DU (detection threshold) or pixels with both altitudes <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> CA <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">DU</mml:mi></mml:math></inline-formula>). Inset plot shows the linear regression between observed and modelled
altitudes without these outliers. Note the change of scale in the <inline-formula><mml:math display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> axis at an altitude <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/8381/2015/acp-15-8381-2015-f11.pdf"/>

        </fig>

      <p>These discrepancies stem from a combination of factors related to (1)
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount (CA) and (2) background atmosphere:
<list list-type="order"><list-item>
      <p>Altitude information in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> band of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is derived mainly from the interference with water vapour absorption,
which impacts the relative intensity of the different <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lines in the observed spectrum.  Uncertainty in altitude increases
with decreasing spectral signature (and therefore decreasing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> CA or decreasing altitude).  This explains in large part the
scatter of IASI altitude values for low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> CA. These are mostly found on the edges and in the tail of the volcanic cloud, as
the column amount comes close to the detection threshold (assumed equal to 0.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">DU</mml:mi></mml:math></inline-formula> here). A few isolated IASI pixels with
abnormally low IASI altitudes, also very likely correspond to small <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> CA values (but inherent to the IR, assuming a too
low altitude, artificially results in larger column estimates). These points correspond to an altitude of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
according to the IASI retrieval, against 7–8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> in the model. They match the forefront of the volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud
in the 11 April p.m. image (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d left), where the plume features a conspicuous discontinuity.
These inconsistent values might also be related to the presence of relatively thick meteorological clouds leading to an underestimation of the retrieved altitude (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p></list-item><list-item>
      <p>IASI retrievals were performed here using atmospheric parameters for the month of August 2011, over quite a large area around
Etna, following a near-real-time processing strategy. Biases in this standard atmosphere, as compared to the actual atmosphere on
10–11 April, are likely to affect the retrieved altitude of a few kilometres and explain a large part of the positive bias toward larger IASI altitudes.</p></list-item></list>
Due to the existence of the different sources of uncertainties listed
above, the IASI-derived altitudes should be selected prior to the
assimilation process aiming at the reconstruction of the altitude of emissions. Indeed, biases affecting the retrieved altitudes
would tend to map into biases in the inverted source history due to
the trade-off between emission time and emission height resulting from
wind shear. To circumvent these pitfalls, a selection of data
characterized by an <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> load exceeding a certain threshold
could be performed before their assimilation in the inversion
procedure. Isolated IASI data co-located with a high value of the
cloud cover factor could be also discarded for further analysis
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>
      <p>This case study demonstrates the robustness of the altitude retrieval
by both the model and IASI NRT products for monitoring <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
clouds of relatively weak intensity and altitude. Algorithms which
exploit spaceborne hyperspectral UV observations generally require
higher <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loads for delivering information on altitude
<xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx56 bib1.bibx65" id="paren.79"/>.</p>
      <p>Under favourable meteorological conditions, volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> clouds
can be detected as well with spaceborne infrared sensors such as MODIS
or SEVIRI (onboard the geostationary Meteosat Second Generation
satellite). These instruments cannot provide quantitative estimates on
the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> abundance in the plume. However, as discussed in
Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>, the higher spatial
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> for MODIS IR channels and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi><mml:mo>×</mml:mo><mml:mn>250</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> for visible channels) or temporal
(acquisitions at a specific location every <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula> for
SEVIRI) resolution of these observations in the near-source region
provide crucial indications on the trajectory followed by the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plume in the vicinity of the source, as illustrated by the
animation using SEVIRI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> acquisitions and MODIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
images for the Etna eruption on 10–11 April 2011
<xref ref-type="bibr" rid="bib1.bibx63" id="paren.80"/>. Consequently, such
information could also be exploited and assimilated in an inversion
procedure to better constrain the altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Strategy toward the assimilation of lidar observations</title>
      <p>As shown in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>, reconstructing the altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions by inverse modelling could rely on information of the altitude of the dispersed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud at distance from the volcanic source.
However, images of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud height provided by infrared IASI satellite observations
are generally not sensitive to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> below 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. Similarly, the altitude of low-altitude volcanic aerosols,
which are often co-existing with <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> within the volcanic cloud, may be hardly estimated from CALIOP spaceborne lidar observations, as the intensity of backscatter signals may be below the detection limit.
In a complementary manner, ground-based lidar measurements can deliver
continuous temporal information on the altitude of any aerosol-rich volcanic
cloud passing over the station, if not obscured by thick underlying meteorological clouds.
Unfortunately, Etna cloud mainly travelled above the Mediterranean Sea during the
2011 April eruption and did not overpass any ground-based lidar station. Notwithstanding, networks of ground-based
lidar are growing, especially in Europe and already proved successful in capturing volcanic particles from icelandic
eruptions <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx60 bib1.bibx53 bib1.bibx26 bib1.bibx38" id="paren.81"/>.</p>
      <p>More broadly, lidar colour and
depolarization ratios allow for characterizing the microphysical
properties of volcanic aerosols and for identifying the presence of sulfate particles <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx57" id="paren.82"/>
and [this study]. Therefore, they provide the
opportunity to gain a deeper understanding of the conversion of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to sulfate aerosols within volcanic clouds.</p>
      <p>If available, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> differential absorption lidar (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> DIAL) observations could provide
simultaneously both <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux and altitude profile at the volcanic source. To our knowledge, a single experiment of
this kind has been developed and proved successful to estimate volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> release rates down to 10 t.d<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx90" id="paren.83"/>.
Indeed, such an experiment requires a costly, heavy and bulky instrumentation with a high power requirement. Passive remote-sensing instruments, such as <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> UV-cameras which are increasingly used in
volcanic environments <xref ref-type="bibr" rid="bib1.bibx12" id="paren.84"/>, are less constraining techniques much more easily deployable in the field.
These imaging systems deliver the 2-D-distribution of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with a high frame rate allowing for the retrieval of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate at high temporal
resolution. However, the main disadvantage of such techniques, with limited spectral information, relies on the difficulty for correcting UV spectra so as
to account for a realistic radiative transfer between the sun and the instrument, especially during ash-rich phases of eruptions <xref ref-type="bibr" rid="bib1.bibx43" id="paren.85"/>.
In the presence of dense ash-rich plumes, active <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> DIAL observations require less complex radiative transfer corrections compared to passive remote-sensing techniques and could prove useful.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions and perspectives</title>
      <p>This study demonstrates our capability to describe accurately the
rapidly varying dynamics of volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> release with time, in
terms of both emission rate and altitude, using inverse modelling
procedures combining spaceborne imagery and chemistry-transport
modelling.</p>
      <p>Retrieved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux time series are validated against
measurements performed by a network of ground-based ultraviolet (UV) scanning
spectrometers during the 10 April 2011 eruption of Etna. While the two
methods are found to be in remarkable agreement during ash-poor phases
of the eruption, large discrepancies between ground and space-derived
fluxes are observed when the eruption shifts toward an ash-rich
explosive activity. Plume opacity, associated with abundant ash load,
leads to a sharp decrease of the apparent <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate
retrieved from the ground. As a consequence, the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux is
underestimated by nearly one order of magnitude as the eruption
reaches its paroxysmal stage. As tracking changes in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
flux is critical for monitoring volcanic activity, this bias suggests
that the interpretation of ground-based UV observations in the context
of hazard assessment and crisis management should be treated with
caution as the activity intensifies.  Moreover, the substantial
underestimation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate calls for the necessity
to revisit currently available inventories of the global budget of
sulfur released by volcanoes. More broadly, since the emission rates
of other volcanic gases are generally derived from <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux
estimations, their respective budgets should also be
reassessed. Nevertheless, ground observations represent the most
sensitive technique for detecting the low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes that
characterize passive degassing or pre-eruptive phases. Hence,
a rigorous description of the whole range of volcanic degassing
activity, spanning from persistent degassing up to major explosive
eruptions, can only be achieved through a synergy between ground- and
space-derived <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux time series.</p>
      <p>Altitudes of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions retrieved by the inversion
procedure are used as inputs to forward trajectories of the HYSPLIT
Lagrangian model. The near-source atmospheric pathways followed by Etna plumes, which are RGB-imaged
from MODIS satellite observations, coincide with the modelled
trajectories, which confirms the validity of the modelled emission
characteristics.</p>
      <p>Moreover, the far-range altitude of the volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud
predicted by our model is validated against various independent
sources of information. First, the CHIMERE chemistry-transport model
initialized with modelled emissions predicts altitudes of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud, at large distance from the source, which are in
agreement with recently developed products of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> height
retrieved from IASI observations, as well as with backward HYSPLIT
trajectories.  Second, spaceborne CALIOP lidar observations support
the concomitant presence of sulfate aerosols alongside with the
modelled volcanic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cloud at thousands of kilometres from the
source.</p>
      <p>These results confirm that both flux and altitude of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions are highly variable in time during an eruption. The
characterization of these two emission parameters is consequently
required to consistently describe the far-range dispersal of volcanic
clouds. We have shown that specific wind shear conditions are required
to derive the altitude of emissions simultaneously with the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
flux if only <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amount maps are
assimilated. Alternatively, the assimilation of the volcanic cloud
altitude derived directly from hyperspectral imagery (e.g. IASI)
should be considered as a promising strategy if these atmospheric
conditions are not met. Nevertheless, as these observations would
strongly constrain the altitude of emissions retrieved in the
inversion procedure, care should be taken in accounting for the
various factors affecting observed altitude values. In the specific
case of IASI, such factors include the increasing uncertainty on the
retrieved altitudes for low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column amounts, the
sensitivity to the background atmospheric conditions used in the
analysis, and the presence of thick meteorological clouds.</p>
      <p>This study paves the way for a 4-D characterization of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
cloud dispersal using hyperspectral spaceborne imagery through
a combination of chemistry-transport modelling and radiative transfer
modelling. As these spatial and temporal features of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> clouds
become accessible, vertically-resolved lidar observations should
provide their full potential in bringing insights into the mechanisms
of formation and degradation of volcanic sulfate aerosols.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>M. Boichu gratefully acknowledges support from the Nord-Pas de Calais
Regional Council for her junior research scientist fellowship and from
the CaPPA (Chemical and Physical Properties of the Atmosphere)
excellence laboratory. L. Clarisse is a Research Associate (Chercheur
Qualifié) with F.R.S.-FNRS. He also gratefully acknowledges
financial support of ESA within the SACS2-SMASH project which allowed
for performing the retrieval of the IASI data set used in this
study. The L1 and L2 CALIOP data, as well as the L1B radiances from
MODIS/Aqua were obtained through the online archive of the ICARE
(Cloud-Aerosol-Water-Radiation Interactions) Data and Services center
(CNES, CNRS, Nord-Pas-De-Calais Regional Council, University of
Lille, (<uri>http://www.icare.univ-lille1.fr/</uri>). M. Boichu warmly thanks
N. Pascal (ICARE) for discussions and advices on CALIOP products and
N. Ferlay (LOA) for providing a script for CALIOP data
postprocessing. We gratefully acknowledge the NOAA Air Resources
Laboratory for the provision of the HYSPLIT trajectory model and for
their READY website used in this publication
(<uri>http://ready.arl.noaa.gov/HYSPLIT.php</uri>).
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: J. Ma</p></ack><ref-list>
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