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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-12-2843-2020</article-id><title-group><article-title>Shipborne lidar measurements showing the progression of the tropical
reservoir of volcanic aerosol after the June 1991 Pinatubo eruption</article-title><alt-title>Tropical shipborne lidar measurements of the Pinatubo aerosol cloud</alt-title>
      </title-group><?xmltex \runningtitle{Tropical shipborne lidar measurements of the Pinatubo aerosol cloud}?><?xmltex \runningauthor{J.-C. Antu\~{n}a-Marrero et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Antuña-Marrero</surname><given-names>Juan-Carlos</given-names></name>
          <email>antuna@goa.uva.es</email>
        <ext-link>https://orcid.org/0000-0002-7037-015X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Mann</surname><given-names>Graham W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1746-2837</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Keckhut</surname><given-names>Philippe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" deceased="yes" corresp="no" rid="aff5">
          <name><surname>Avdyushin</surname><given-names>Sergey</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Nardi</surname><given-names>Bruno</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Thomason</surname><given-names>Larry W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1902-0840</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Grupo de Óptica Atmosférica, Departamento de Física
Teórica, Atómica y Óptica, <?xmltex \hack{\break}?>Universidad de Valladolid, 47002,
Valladolid, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Earth and Environment, University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Centre for Atmospheric Science (NCAS-Climate), University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Laboratoire Atmosphères, Milieux, Observations Spatiales,
Université de Versailles Saint-Quentin, <?xmltex \hack{\break}?>Versailles, 78280, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Fedorov Institute of Applied Geophysics, Moscow, Russia</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Nardi Scientific, LLC, Denver, CO 80238, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>NASA Langley Research Center, Hampton, VA  23681-2199, USA</institution>
        </aff><author-comment content-type="deceased"><p/></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Juan-Carlos Antuña-Marrero (antuna@goa.uva.es)</corresp></author-notes><pub-date><day>14</day><month>November</month><year>2020</year></pub-date>
      
      <volume>12</volume>
      <issue>4</issue>
      <fpage>2843</fpage><lpage>2851</lpage>
      <history>
        <date date-type="received"><day>1</day><month>April</month><year>2020</year></date>
           <date date-type="rev-request"><day>7</day><month>May</month><year>202</year></date>
           <date date-type="rev-recd"><day>31</day><month>July</month><year>2020</year></date>
           <date date-type="accepted"><day>9</day><month>September</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Juan-Carlos Antuña-Marrero et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020.html">This article is available from https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e172">A key limitation of volcanic forcing datasets for the Pinatubo period is
the large uncertainty that remains with respect to the extent of the optical
depth of the Pinatubo aerosol cloud in the first year after the eruption,
the saturation of the SAGE-II instrument restricting it to only be able to
measure the upper part of the aerosol cloud in the tropics. Here we report
the recovery of stratospheric aerosol measurements from two shipborne
lidars, both of which measured the tropical reservoir of volcanic aerosol
produced by the June 1991 Mount Pinatubo eruption. The lidars were on board
two Soviet vessels, each ship crossing the Atlantic, their measurement
datasets providing unique observational transects of the Pinatubo cloud
across the tropics from Europe to the Caribbean (<inline-formula><mml:math id="M1" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 40
to 8<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) from July to September 1991 (the <italic>Professor Zubov</italic> ship) and from
Europe to south of the Equator (<inline-formula><mml:math id="M3" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 40<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N to 8<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S)
between January and February 1992 (the <italic>Professor Vize</italic> ship). Our philosophy with
the data recovery is to follow the same algorithms and parameters that appear
in the two peer-reviewed articles that presented these datasets in the same
issue of <italic>GRL</italic> in 1993, and here we provide all 48 lidar soundings made from
the <italic>Professor Zubov</italic> and 11 of the 20 conducted from the <italic>Professor Vize</italic>, ensuring we
have reproduced the aerosol backscatter and extinction values in the
figures of those two papers. These original approaches used thermodynamic
properties from the CIRA-86 standard atmosphere to derive the molecular
backscattering, vertically and temporally constant values applied for the
aerosol backscatter-to-extinction ratio, and the correction factor of the
aerosol backscatter wavelength dependence. We demonstrate this initial
validation of the recovered stratospheric aerosol extinction profiles,
providing full details of each dataset in this paper's Supplement S1, the
original profiles of backscatter ratio, and the calculated profiles of aerosol backscatter and extinction. We anticipate these datasets will provide potentially important new observational case studies for modelling analyses, including a
1-week series of consecutive soundings (in September 1991) at the same
location showing the progression of the entrainment of part of the Pinatubo
plume into the upper troposphere and the formation of an associated cirrus
cloud. The <italic>Zubov</italic> lidar dataset illustrates how the tropically confined
Pinatubo aerosol cloud transformed from a highly heterogeneous vertical
structure in August 1991,<?pagebreak page2844?> maximum aerosol extinction values around 19 km for
the lower layer and 23–24 for the upper layer, to a more homogeneous and
deeper reservoir of volcanic aerosol in September 1991. We encourage
modelling groups to consider new analyses of the Pinatubo cloud, comparing
the recovered datasets, with the potential to increase our understanding
of the evolution of the Pinatubo aerosol cloud and its effects. Data
described in this work are available at <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.912770" ext-link-type="DOI">10.1594/PANGAEA.912770</ext-link> (Antuña-Marrero et al.,
2020).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e248">Observations by satellite and in situ measurements have shown that major
volcanic eruptions enhance the stratospheric aerosol layer for several years
(Stratospheric Processes and their Role in Climate – SPARC, 2006). Such
enhancement causes radiative, thermal, dynamical and chemical perturbations
in different regions of the earth's atmosphere, resulting in a perturbation
of the earth's climate (e.g. Robock, 2000; Timmreck, 2012). Current research
on those perturbations demands detailed information about the 3D spatial and
temporal distributions of stratospheric aerosols both under background
conditions and after the volcanic eruptions. The June 1991 Mount Pinatubo
eruption is the most used for such research activities because it has been
the largest and best documented eruption for the 20th century up to the
present. Still there are notable gaps in the information collected because of
the lack of measurements in the tropics and because several of the measurements
conducted and reported in the literature have not yet been made available to the wider community</p>
      <p id="d1e251">This work is a contribution to the data rescue activity of the Stratospheric
Sulfur and its Role in Climate (SSiRC) recently included in this SPARC
initiative. This data rescue activity aims to “foster new
collaborations between scientists to recover, re-digitise and re-calibrate
other historic stratospheric aerosol datasets, and invite scientists to
contribute to this activity and to provide advice and expertise on how best
to recover other incomplete long term observations of stratospheric
composition” (SSiRC, 2020). In its current initial stage, particular
attention is given to gather datasets to characterise the progression of the aerosol
cloud during the initial months after the 1991 Pinatubo eruption, the main
motivation for the work we present here.</p>
      <p id="d1e254">Among the envisaged applications of the two Mount Pinatubo stratospheric
aerosol lidar datasets we are presenting is the contribution to future
improvements of the Global Space-based Stratospheric Aerosol Climatology
(GloSSAC). GloSSAC is the most complete source of information about the
global spatial and temporal distribution of the stratospheric aerosol
optical properties from 1979 to the present (Thomasson et al., 2018). From
1979 to mid-2005 the climatology relies mainly on the observations from the
Stratospheric Aerosol and Gas Experiment (SAGE) series of satellite
instruments. Only two lidar datasets in the tropics were used for filling
the gap in SAGE II aerosol extinction profiles in this region in GloSSAC
(Thomasson et al., 2018), produced by the dense stratospheric aerosol layer
(McCormick and Veiga, 1992).</p>
      <p id="d1e257">In Sect. 2 the datasets are briefly described, providing the detailed
description, format and inventory of the datasets contained in Supplement S1. Section 3 describes the processing conducted to try to
reproduce the values of the aerosol's extinction profiles at 532 nm for both
shipborne lidars <italic>Zubov</italic> and <italic>Vize</italic>, respectively. Section 4 shows and discusses
the results, comparing them with the available information reported in
Avdyushin et al. (1993) and Nardi et al. (1993). This section includes the
discussion of several features of the stratospheric aerosols from the Mount
Pinatubo eruption during the period the measurements were taken to
illustrate the importance of the rescued datasets. Section 5 shows
an application of the reconstructed dataset in the validation of Mount Pinatubo
modelling simulations. The article concludes with a summary and outlook.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Aerosol scattering ratio datasets</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Lidar datasets</title>
      <p id="d1e281">The single-wavelength backscatter measured by a lidar is usually decomposed
into two components: aerosol backscatter and molecular backscatter. The
lidar scattering ratio is defined as the ratio of the total backscatter
signal (aerosol and molecular) to the molecular backscatter signal (Collis
and Russell, 1976). Here we report the two sets of scattering ratio profiles
measured by two Soviet shipborne lidars a few months after the Mount Pinatubo
June 1991 eruption across the North Atlantic Ocean. The <italic>Professor Zubov</italic> ship
carried a lidar from July to September 1991 and <italic>Professor Vize</italic> in January
and February 1992 (Avdyushin et al., 1993; Nardi et al., 1993). The
measurement campaign was part of a joint effort between the Roscomhydromet
from the former Soviet Union and the Service d'aéronomie du CNRS of France.
It included another shipborne lidar on the French military ship <italic>Henri Poincaré</italic>, based in Brest, and two ground-based lidars. The lidars were
located at Haute-Provence Observatory (OHP: 44<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 6<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and at the Centre d'Essai des Landes at Biscarrosse (CEL: 44<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 1<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). A broad description appears in Nardi et al. (1993) and Avdyushin et al. (1993).</p>
      <p id="d1e330">Because of the particular spatio-temporal distribution of the lidar
measurements from <italic>Zubov</italic>, they contribute in characterising the variability of
the Mount Pinatubo stratospheric<?pagebreak page2845?> aerosol (SA) vertical extinction profiles at
certain points and regions of the North Atlantic Ocean between July and
September 1991. Spatially the variability covers both latitudinal and
longitudinal and temporally the daily variability of two Atlantic locations
where lidar measurements were conducted for several consecutive and
nonconsecutive days.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e339">Technical features of the two shipborne lidars. Ya:
yttrium aluminium. From Table 1 of Avdyushin et al. (1993).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="1.3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="1.3cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Lidar technical features</oasis:entry>
         <oasis:entry colname="col2"><italic>Professor Zubov</italic></oasis:entry>
         <oasis:entry colname="col3"><italic>Professor Vize</italic></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Laser type</oasis:entry>
         <oasis:entry colname="col2">Doubled Ya</oasis:entry>
         <oasis:entry colname="col3">Dye: R6W</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wavelength (nm)</oasis:entry>
         <oasis:entry colname="col2">539.5</oasis:entry>
         <oasis:entry colname="col3">589</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Energy/pulse (J)</oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Frequency (s<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">25</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Power (W)</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Emitted beam width (rad)</oasis:entry>
         <oasis:entry colname="col2">5 <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">5 <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Receiver telescope diameter (cm)</oasis:entry>
         <oasis:entry colname="col2">110</oasis:entry>
         <oasis:entry colname="col3">110</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Filter FWHM (nm)</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vertical resolution (m)</oasis:entry>
         <oasis:entry colname="col2">150</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e342">FWHM: full width at half maximum.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data source</title>
      <p id="d1e537">Philippe Keckhut contributed the lidar scattering ratio (SR) profile
dataset derived from the lidar measurements conducted by <italic>Zubov</italic> and <italic>Vize</italic>
vessels for the PhD dissertation research of the lead author in 1999. The
goal of that research was to validate the Mount Pinatubo SA extinction profiles
measured by the Stratospheric Aerosol and Gas Experiment II (SAGE II) with
ground-based lidar observations (Antuña et al., 2002, 2003). However, we
found very little information to comply with the proposed goal due to a
combination of two factors. Firstly, the SAGE II profiles were truncated below the upper portion of the SA layer in the tropics for almost half a year after
the June 1991 Mount Pinatubo eruption. It was the result of the elevated
atmospheric opacity produced by the SA (McCormick and Veiga, 1992). Secondly, very few of the SAGE-II extinction profiles were coincident with either vessel’s lidar soundings, with the coincidence criteria selected (Antuña et
al., 2002). The dataset was not used and had remained stored in the lead author's
archives since 1999.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Dataset description</title>
      <p id="d1e554">In brief, the datasets consist of 48 data files from the <italic>Professor Zubov</italic>
vessel, containing daily profiles of the lidar SR<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles and 11 lidar
SR<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles from <italic>Professor Vize</italic> vessel. The trajectories of both ships
are shown in Fig. 1 with the positions where the lidar measurements were
conducted marked with symbols. The <italic>Professor Zubov</italic> vessel (red stars) began
its measurements on 12 July 1991 from 39<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 28<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, travelling towards the Caribbean. After arriving in
the Caribbean near Punta de Maisí (the easternmost point of Cuba), for
the last week of July and first weeks of August its trajectory consisted of
a loop around the Lesser Antilles island group (see Fig. S2), the most
southward lidar measurement on 9 August (10<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) near Trinidad and
Tobago. From 19 August the <italic>Zubov</italic> began an eastward trans-Atlantic leg
travelling from 21<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 63<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W in the
direction of northern Africa. Five co-located lidar measurements made whilst the
ship remained for 7 d (3–9 September) at its most
southward point in the vicinity of 8<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 24<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W. Nine further measurements were made as the ship
travelled northeast towards Europe, with the last measurement taken on 21 September in the vicinity of northern Spain.</p>
      <p id="d1e658">Whereas the July to September <italic>Zubov</italic> lidar measurements of the Pinatubo cloud
from the Caribbean and Atlantic provide information on the early stages of
the Pinatubo aerosol cloud as it was in transition from its initial sheared
plume structure, the <italic>Professor Vize</italic> measurements (blue diamonds) were after
a substantial proportion of the tropical reservoir of volcanic aerosol (e.g.
Grant et al., 1996) had already been transported to mid-latitudes. The <italic>Vize</italic>
began in the Southern Hemisphere on 26 January 1992 (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 2<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W),
moving northward, measuring this later phase of the tropical Pinatubo
aerosol reservoir, the datasets providing a transect of seven tropical lidar
profiles along the western coast of central and northern Africa in the
latitude range 10<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to 20<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, from 26 January to 1 February. The final four measurements were then of the mid-latitude Pinatubo
cloud, from 34<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S from just north of the Canary Islands, then off the
coast of northern Spain, with the final two measurements in the Baltic Sea
on 19 and 20 February at 56 and 59<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (18 and 27<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). It
should be noted that the <italic>Vize</italic> lidar dataset contains only 11 of the 20
measurements in the two papers; another 9 lidar profiles are reported to have
been conducted (Avdyushin et al., 1993; Nardi et al., 1993).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e748">Trajectories of the <italic>Professor Zubov</italic> (red stars) between 12 July and 21 September 1991 and <italic>Professor Vize</italic> (blue diamonds)
between 26 January and 20 February  1992.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data processing</title>
      <p id="d1e772">To comply with the goal of reproducing the aerosol extinction vertical
profiles (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) reported in Avdyushin et al. (1993) and
Nardi et al. (1993) from the available SR<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, we deliberately followed
exactly the same algorithms and parameter assumptions used in those papers.
This section describes each of the processing steps they conducted,
which we have followed exactly for the recovered dataset. To derive the
532 nm aerosol signal, the approach taken in both datasets was to specify a
Rayleigh backscattering cross section coefficient of <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 532 nm. For the 539 nm lidar SR in the <italic>Zubov</italic> dataset, no
wavelength dependence was accounted for. The wavelength difference from the
target 532 nm was considered negligible, whereas for the 589 nm lidar SR on the
<italic>Vize</italic> dataset, a correction factor of the<?pagebreak page2846?> Rayleigh backscattering cross
section coefficient at 532 nm (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">589</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">532</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.666</mml:mn></mml:mrow></mml:math></inline-formula>) was used
(Avdyushin et al., 1993).</p>
      <p id="d1e878">Then Rayleigh backscatter at the surface was calculated. For each lidar
measurement the Rayleigh backscatter profiles (<inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>mol<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) were derived
using the vertical profiles of pressure (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and temperature (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) from
the CIRA-86 atmospheric model (Flemming et al., 1988). The procedure
consisted in determining the geopotential height (Zg<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and T<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at the
mandatory <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> levels from 1000 to 0.1 hPa from the CIRA-86 atmosphere
taking into account the month the measurement was conducted and latitude of
the ship for each individual measurement. Then the Zg<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was converted to
geometric altitude <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Afterwards, the <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values were logarithmically interpolated
in the vertical to the altitude of the lidar SR levels. A similar method was
used for <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> but using lineal interpolation. Then the <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is derived using the standard procedure (Bucholtz, 1995).
Next, the aerosol backscattering profiles (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) were
derived using Eq. (1) (Russell et al., 1979). To avoid zero or negative
values in <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, produced by SR<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> equal to or lower than 1
respectively, we replaced those SR<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values by 1.01 following the value
proposed by Russell et al. (1979) for the SR<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> minimum aerosol level. At
the levels where this change took place, the magnitude of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
is 2 orders lower than the magnitude of <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at the same
level. Equation (1) was used to derive <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>:
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M56" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:mtext>SR</mml:mtext><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        The next step consisted in calculating the <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from the
<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aerl</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using Eq. (2), using a constant value in time and
altitude of 0.04 sr<inline-formula><mml:math id="M59" 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> for the aerosol backscattering-to-extinction
ratio (Advyushin et al., 1993).
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M60" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
        It is worth mentioning that it is more common to use the inverse of the term
among squared brackets in the former equation, termed the
extinction-to-backscatter lidar ratio or sometimes simply referred to as
“the lidar ratio”. However, taking into account the goal of this work, to
reproduce exactly these hitherto unavailable data records, the language and
terms used in the two cited papers has been preserved here. In addition,
regarding the magnitude of 0.04 sr<inline-formula><mml:math id="M61" 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> for the backscattering-to-extinction ratio (25 sr if the extinction-to-backscatter lidar ratio
definition is used), this value is taken to be representative of an aqueous
sulfuric acid aerosol cloud with the particle size distribution suitable
for this period, 3–9 months after the Pinatubo eruption, when the effective
radius was greatly enhanced compared to background levels (see, e.g. Bauman
et al., 2003). Vaughan et al. (1994) showed how the lidar
extinction-to-backscatter ratio for aqueous sulfuric acid clouds decreases
for larger particles, with more moderate volcanic aerosol clouds having
higher extinction-to-backscatter ratios (see, e.g. Prata et al., 2017). For
the 1991 Mount Pinatubo eruption, a set of vertical profiles of
extinction-to-backscatter lidar ratio values from 355 to 1064 nm were
produced for each month, based on size distribution fits (Jäger et al.,
1995) to balloon-borne optical particle counter-measurements in
mid-latitudes (Deshler et al., 1993). The conversion factors are a function
of the time after the eruption and the altitude, comprising a set of
wavelength exponents to convert aerosol backscatter across several
wavelengths from 355 to 1064 nm, and also for aerosol extinction
(Jäger and Deshler, 2002). Since the effective radius enhancement after
Pinatubo was much larger in the tropics than in mid-latitudes (see, e.g.
Russell et al., 1996; Bauman et al., 2003), it remains a potential future
community research effort to produce a recommended Pinatubo lidar
extinction-to-backscatter ratio dataset suitable for the tropics and for
other major eruption periods.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
      <p id="d1e1326">The tabulated lidar SR profiles and the calculated <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles at the wavelength of 532 nm from both lidars
are available at <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.912770" ext-link-type="DOI">10.1594/PANGAEA.912770</ext-link>
(Antuña-Marrero et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1368">Temporal–vertical cross sections of the aerosol extinction at 532 nm measured by the lidar on board the two shipborne lidars during their
trajectories: <bold>(a)</bold> <italic>Professor Zubov</italic> ship and <bold>(b)</bold> <italic>Professor Vize</italic> ship.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020-f02.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Validation of the reproduced dataset</title>
      <p id="d1e1396">No tabulated data are available for the <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values used in
the cited Avdyushin or Nardi papers, the only published source of
information about the measurements. In addition, the papers do not conduct
detailed discussions or mention the extinction-relevant features in the
<italic>Zubov</italic> and <italic>Vize</italic> datasets. Here we make use all the available information
to conduct a semi-quantitative validation for the <italic>Zubov</italic> dataset. In the case
of <italic>Vize</italic>, it is only possible to conduct a qualitative validation.</p>
      <?pagebreak page2847?><p id="d1e1428">Figure 1a and b show the temporal–vertical cross section of the <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measured by the lidars on board the <italic>Professor Zubov</italic> and <italic>Vize</italic> ships. The pink discontinuous line on top of the white background in Fig. 1a is the altitude of the tropopause at the locations the lidar measurements
were conducted. The tropopause altitudes were derived from the ERA-Interim
reanalysis potential vorticity profiles, interpolating to the height levels
of the lidar measurements and selecting the height of the <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> PV surface.</p>
      <p id="d1e1472">Figure 2a shows the same pattern of the temporal–vertical cross section of
the <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for the entire <italic>Zubov</italic> trajectory as the one
reported in Fig. 2 in Avdyushin et al. (1993). Both figures are the main
semi-quantitative comparison of the results we present here with those shown
in Avdyushin et al. (1993), also validating our method with the few
quantitative values reported in the two papers. The magnitudes of the
<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are on the same order in both figures, as can be
seen comparing the scales of the colour bars on the right side of both of them.
A careful comparison between the areas in red (corresponding to the
highest values of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) in both figures shows a larger area
in Fig. 2 of Avdyushin et al. (1993), an indication of slightly lower values
in the values of <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> we reproduced. Moreover, the maximum
<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value in the reproduced dataset is 0.054 km<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
23.3 km of altitude on 4 August, which can be seen in Fig. 2a.
Avdyushin et al. (1993) reported the maximum at 18<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N between 23
and 24 km of altitude with an <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value of 0.08 km<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
the same day. All those facts demonstrate the agreement of the reproduced
dataset with the original one.</p>
      <p id="d1e1614">In Fig. 2a the presence of an area of high values
of the <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at the tropical middle troposphere in September 1991 around day 250 should also be noted. This signature is not seen on the temporal cross
section from the <italic>Zubov</italic> lidar in Fig. 2 of Avdyushin et al. (1993) because the
vertical-axis lower altitude is at 15 km. It appears more clearly in the
temporal cross section of the SR<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from the <italic>Zubov</italic> lidar, Fig. 4 in
Nardi et al. (1993), having the vertical axes beginning at 12 km. This
feature may be associated with the combination of what seems to be a downward
transport of stratospheric aerosols with the presence of a thick cirrus
cloud attached below. The profiles associated with this feature will be
discussed later. The features described above demonstrate that the
reproduced <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> dataset in the case of <italic>Zubov</italic> is in
reasonable agreement with the reports in the only two papers available
describing the measurements.</p>
      <p id="d1e1674">Figure 2b for <italic>Prof. Vize</italic> shows in general the same pattern as Fig. 3 in
Avdyushin et al. (1993), although the <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> magnitudes in the
reproduced dataset are lower. In some way the lack of 9 measurements
(<inline-formula><mml:math id="M80" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 45 %) of the 20 reported to be conducted (Avdyushin et
al., 1993) contributes to those low <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> magnitudes in the
<italic>Vize</italic> dataset. Also, in Fig. 2b lidar information is available on the extension of the vertical axes down to
the lower level, 12 km. This allows one to see
aerosols in the upper troposphere, which is not the case in Fig. 3 of
Avdyushin et al. (1993, Fig. 3).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Downward transport of stratospheric aerosols with a thick cirrus cloud below</title>
      <p id="d1e1733">The cited area of high values of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at the tropical middle
troposphere in September 1991 around day 250, shown in the Fig. 1a, is
associated with the <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profile in Fig. 3 for 8 September 1991. The profile of <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> extends from 24 km in the
lower stratosphere to 12 km, middle–upper tropical troposphere, across the
tropopause located at 18.2 km. The most plausible explanation of the
vertical extension of the layer is the occurrence of stratospheric aerosol
downward transport into the upper and middle troposphere. Figure 3 also
includes the value of the total aerosol optical depth (TAOD) of 0.183, resulting from the
contributions of the stratospheric AOD (SAOD) from the tropopause to 33 km, which was
0.085. The upper tropospheric AOD (UTAOD) was  0.098, from 12 km<?pagebreak page2848?> to the
tropopause. SAOD and UTAOD have contributions on the same order of
magnitudes as the TAOD, showing the notable magnitude of the stratospheric
aerosols into the upper and middle troposphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1789">Profiles of the <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for 8 September at 8<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, showing the presence of cirrus clouds between 13 and 14 km.
In addition, between 20 and 18 km the transport of stratospheric aerosols
from the stratosphere into troposphere across the tropopause is evident.</p></caption>
          <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020-f03.png"/>

        </fig>

      <p id="d1e1824">Figure 3 also shows that <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> decreases from 0.012 km<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the 18.2 km (tropopause) up to 0.02 km<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 17.3 km and
then increases to ending in two sharp maximums at 14 and 13.4 km with
<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of 0.029 and 0.044 km<inline-formula><mml:math id="M91" 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> respectively. This double
peak layer at the bottom of the Pinatubo stratospheric aerosol layer is a
cirrus cloud, a phenomenon already reported for Pinatubo. A similar lidar
<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aerl</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profile structure is reported at Sodankylä (Finland), 66<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, in Fig. 1 of Guasta et al. (1994) for 3 February 1992. This measurement conducted at Sodankylä was part of the European
Arctic Stratospheric Ozone Experiment (EASOE) campaign during December 1991 to March 1992, where cirrus clouds were reported in 50 % of the 56
measurements conducted. Cirrus clouds were reported to grow often within the
stratospheric aerosol layer from Mount Pinatubo as in the case we are
discussing (Guasta et al., 1994). This profile shows, probably, the earlier
case of a cirrus observed in lidar measurements of the Mount Pinatubo
stratospheric aerosols.</p>
      <p id="d1e1925">An interesting feature is that, in the 48 <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles from
the lidar on the <italic>Professor Zubov</italic> vessel between July and September 1991, only in
one profile was a cirrus cloud detected, only 2 % of the profiles.
However, in 4 of the 11 available <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles from the
lidar on the <italic>Professor Vize</italic> vessel between January and February 1992, four profiles
showed the presence of cirrus clouds, around 40 % of the observations.
This percentage is similar to that reported by a lidar located at Sodankylä,
Finland (66<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), during the EASOE campaign between December 1991
and March 1992 (Guasta et al., 1994).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Absolute maximum $\alpha _{\text{aer}}(z)$ value}?><title>Absolute maximum <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value</title>
      <p id="d1e2003">Figure 4a and b show the <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles on 3 and 4 August 1991, Fig. 4b belonging to the day the absolute maximum
value of <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was registered and Fig. 4a to the day
before. Both profiles were taken at the same latitude and only 1<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
apart in longitude, allowing characterisation of the longitudinal evolution of
the Mount Pinatubo stratospheric aerosol evolution and variability. A double
layer is present both days. The UTAOD is almost the same for both days, but
SAOD is an order of magnitude larger from 0.080 on 3 August 1991 to 0.119
the next day.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2051">Profiles of the <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for 3 and 4 August at 18<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020-f04.png"/>

        </fig>

      <p id="d1e2086">In Table 2, the geometrical and optical parameters of the higher and lower
layers are present in both the 3 and 4 August <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
profiles. The altitude descent of both the higher
and lower layers from 3 and 4 August can be seen, with both layers keeping
their depths. The altitude of the <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> absolute maximum in
the top layer decreased a little more than half a kilometre, but the maximum
in the lower layer maintains its altitude. The magnitudes of the maximums
<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in each layer increase, in 2.45 <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M107" 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>
in the upper layer reaching the absolute maximum value of the entire record
and in the lower layer in 0.62 <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The AOD increases
0.028 in the higher layer and 0.023 in the lower. This is an example of the
usefulness of the rescued dataset allowing the quantification of those magnitudes
during the early stages of Mount Pinatubo.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2201">Geometrical and optical parameters of the higher and lower layers
present in the 3 and 4 August <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">Higher layer </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">Lower layer </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Date</oasis:entry>
         <oasis:entry colname="col2">3 August 1991</oasis:entry>
         <oasis:entry colname="col3">4 August 1991</oasis:entry>
         <oasis:entry colname="col4">3 August 1991</oasis:entry>
         <oasis:entry colname="col5">4 August 1991</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Top (km)</oasis:entry>
         <oasis:entry colname="col2">26.6</oasis:entry>
         <oasis:entry colname="col3">25.1</oasis:entry>
         <oasis:entry colname="col4">20.6</oasis:entry>
         <oasis:entry colname="col5">20.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Base (km)</oasis:entry>
         <oasis:entry colname="col2">23.0</oasis:entry>
         <oasis:entry colname="col3">21.5</oasis:entry>
         <oasis:entry colname="col4">16.4</oasis:entry>
         <oasis:entry colname="col5">16.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>H (km)</oasis:entry>
         <oasis:entry colname="col2">3.6</oasis:entry>
         <oasis:entry colname="col3">3.6</oasis:entry>
         <oasis:entry colname="col4">4.2</oasis:entry>
         <oasis:entry colname="col5">4.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AOD</oasis:entry>
         <oasis:entry colname="col2">0.049</oasis:entry>
         <oasis:entry colname="col3">0.077</oasis:entry>
         <oasis:entry colname="col4">0.031</oasis:entry>
         <oasis:entry colname="col5">0.054</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Max. <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (km<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">2.96 <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">5.41 <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.71 <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2.33 <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Max. height (km)</oasis:entry>
         <oasis:entry colname="col2">29.9</oasis:entry>
         <oasis:entry colname="col3">29.3</oasis:entry>
         <oasis:entry colname="col4">19.1</oasis:entry>
         <oasis:entry colname="col5">19.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2474">The former analysis was based on the assumption that the 1<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
difference in longitude between the positions of <italic>Professor Zubov</italic> lidar on 3 and 4 August 1991 could be negligible compared to the
magnitudes of the lower stratosphere winds transporting the stratospheric
aerosols. To support that assumptions we calculated the mean northward and
eastward<?pagebreak page2849?> wind components for both days in the latitude between 15 and 20<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and the longitudes between 60 and 40<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W using
the NCEP Reanalysis (Kalnay et al., 1996). Figure S2 in Supplement S3
shows the profile of the lower stratosphere mean wind components for both
days in the selected area around the two lidar locations. The figure
confirms the northward component was insignificant, with the dominant
easterly flow in the stratosphere at that time. At the altitudes of the two
aerosol extinction peaks, 19 and 23 km, the easterly wind component shows
values of 54 and 72 km h<inline-formula><mml:math id="M121" 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>, which during the 24 h time difference
measurements represent <inline-formula><mml:math id="M122" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1300 and 1700 km displacement
respectively. Those displacements compare to only <inline-formula><mml:math id="M123" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 110 km
(for the 1<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> difference in longitude at 18<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), supporting our assumption.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><?xmltex \opttitle{Evolution of the daily AOD, maximum $\alpha _{\text{aer}}(z)$ and its altitude along the \textit{Zubov} trajectory}?><title>Evolution of the daily AOD, maximum <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and its altitude along the <italic>Zubov</italic> trajectory</title>
      <p id="d1e2581">Figure 5 shows the temporal evolution, along the entire ship trajectory, of
the daily maximum <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, its altitude and the aerosol
optical depth (AOD) calculated between 15 and 33 km. The three months are
denoted as the latitudinal and longitudinal bands the lidar sampled during
the <italic>Zubov</italic> trajectory. Daily maximum <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values are mainly
in the range between 0.0541 and 5.7 <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with mean and
standard deviation values of 0.018 and 0.013 km<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The altitudes of
the maximum <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values range between 30.8 and 12.2 km, with
a mean of 21.8 km and a standard deviation of 3.5 km. The AOD mean value is
0.059 with a standard deviation of 0.041, showing its maximum value of
0.149 on 3 September at 8<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 25<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2699">Temporal section of the AOD, maximum extinction and its altitude
from the individual lidar profiles measured by <italic>Zubov</italic> along its trajectory.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/2843/2020/essd-12-2843-2020-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data availability</title>
      <p id="d1e2721">Data described in this work are available at <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.912770" ext-link-type="DOI">10.1594/PANGAEA.912770</ext-link> (Antuña-Marrero et al.,
2020).</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Summary and outlook</title>
      <p id="d1e2735">Here we present a reproduced version of the stratospheric aerosol extinction
profiles derived from lidar measurements conducted by <italic>Professor Zubov</italic> and
<italic>Vize</italic> vessels already referenced in the literature (Avdyushin et al., 1993;
Nardi et al., 1993), but they have been unavailable until the present. The data presented
consist of two sets of vertical profiles of the SR<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>aer</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at 300 m vertical resolution, one for each vessel.
In the case of <italic>Professor Zubov</italic> the set include 48 measurement days conducted
between July and September 1991 and for <italic>Professor Vize</italic> 11 measurements days
between January and February 1992.</p>
      <p id="d1e2797">We expect this dataset to contribute to some of the current and future
research to simulate the early stages of the Mount Pinatubo eruption. It will
also contribute to a future GloSSAC update, helping to fill the SAGE II
gaps produced by the dense volcanic aerosol cloud during the first
months after the eruption.
</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d1e2799">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-12-2843-2020-supplement" xlink:title="zip">https://doi.org/10.5194/essd-12-2843-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2810">JCAM led the re-processing of the lidar measurements, data analysis and the preparation of the figures, with<?pagebreak page2850?> JCAM and GWM both contributing to the design of the paper and progression of the figures and text of the article. SA and BN made the original lidar measurements. PK provided the dataset and advice on the re-processing of the lidar datasets. All co-authors contributed to either advising/co-ordinating the data recovery, writing sections of the paper, and/or reviewing drafts of the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2816">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2822">These measurements are the result of the scientific cooperation between
Roscomhydromet of the former Soviet Union and the Service d'Aéronomie du
CNRS of France, as well as contributions of the authors of the two cited papers
and many anonymous scientists and supporters. Despite the social and
economic upheaval that occurred with the collapse of the former Soviet
Union, this scientific co-operation between Roscomhydromet and CNRS
continued. To both agencies, to the authors of the two cited papers and to the
anonymous scientists and supporting staff, we recognise the value of this
continued collaboration and express our sincere gratitude to all involved.
Juan Carlos Antuña-Marrero acknowledges the support of the Copernicus
Atmospheric Monitoring Service (CAMS), one of six services that form
Copernicus, the European Union's Earth observation programme, for his
1-month visit in March 2019 to the School of Earth and Environment,
University of Leeds, Leeds, UK. We also acknowledge funding from the
National Centre for Atmospheric Science for Graham W. Mann via the
volcanic work package of the NERC Multi-Centre Long-Term Science Programme on
the North Atlantic climate system (ACSIS, NERC grant NE/N018001/1). We also acknowledge discussions,
during the CAMS-funded visit to Leeds, with Sarah Shallcross and Sandip
Dhomse (University of Leeds) in relation to initial model comparisons to the <italic>Zubov</italic>
lidar dataset. Wind data were provided by the NOAA/OAR/ESRL PSL, Boulder,
Colorado, USA, from their website at <uri>http://psl.noaa.gov/</uri> (last access: 26 June 2020).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2833">This research has been supported by the Copernicus Atmospheric Monitoring Service (CAMS), one of six services that together form Copernicus, the EU's Earth observation programme. We also acknowledge funding from the UK Natural Environment Research Council (NERC) via the National Centre for Atmospheric Science (NCAS) contribution to the ACSIS long-term science programme (grant reference: NE/N018001/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2839">This paper was edited by Jens Klump and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Shipborne lidar measurements showing the progression of the tropical reservoir of volcanic aerosol after the June 1991 Pinatubo eruption</article-title-html>
<abstract-html><p>A key limitation of volcanic forcing datasets for the Pinatubo period is
the large uncertainty that remains with respect to the extent of the optical
depth of the Pinatubo aerosol cloud in the first year after the eruption,
the saturation of the SAGE-II instrument restricting it to only be able to
measure the upper part of the aerosol cloud in the tropics. Here we report
the recovery of stratospheric aerosol measurements from two shipborne
lidars, both of which measured the tropical reservoir of volcanic aerosol
produced by the June 1991 Mount Pinatubo eruption. The lidars were on board
two Soviet vessels, each ship crossing the Atlantic, their measurement
datasets providing unique observational transects of the Pinatubo cloud
across the tropics from Europe to the Caribbean ( ∼ &thinsp;40
to 8°&thinsp;N) from July to September 1991 (the <i>Professor Zubov</i> ship) and from
Europe to south of the Equator ( ∼ &thinsp;40°&thinsp;N to 8°&thinsp;S)
between January and February 1992 (the <i>Professor Vize</i> ship). Our philosophy with
the data recovery is to follow the same algorithms and parameters that appear
in the two peer-reviewed articles that presented these datasets in the same
issue of <i>GRL</i> in 1993, and here we provide all 48 lidar soundings made from
the <i>Professor Zubov</i> and 11 of the 20 conducted from the <i>Professor Vize</i>, ensuring we
have reproduced the aerosol backscatter and extinction values in the
figures of those two papers. These original approaches used thermodynamic
properties from the CIRA-86 standard atmosphere to derive the molecular
backscattering, vertically and temporally constant values applied for the
aerosol backscatter-to-extinction ratio, and the correction factor of the
aerosol backscatter wavelength dependence. We demonstrate this initial
validation of the recovered stratospheric aerosol extinction profiles,
providing full details of each dataset in this paper's Supplement S1, the
original profiles of backscatter ratio, and the calculated profiles of aerosol backscatter and extinction. We anticipate these datasets will provide potentially important new observational case studies for modelling analyses, including a
1-week series of consecutive soundings (in September 1991) at the same
location showing the progression of the entrainment of part of the Pinatubo
plume into the upper troposphere and the formation of an associated cirrus
cloud. The <i>Zubov</i> lidar dataset illustrates how the tropically confined
Pinatubo aerosol cloud transformed from a highly heterogeneous vertical
structure in August 1991, maximum aerosol extinction values around 19&thinsp;km for
the lower layer and 23–24 for the upper layer, to a more homogeneous and
deeper reservoir of volcanic aerosol in September 1991. We encourage
modelling groups to consider new analyses of the Pinatubo cloud, comparing
the recovered datasets, with the potential to increase our understanding
of the evolution of the Pinatubo aerosol cloud and its effects. Data
described in this work are available at <a href="https://doi.org/10.1594/PANGAEA.912770" target="_blank">https://doi.org/10.1594/PANGAEA.912770</a> (Antuña-Marrero et al.,
2020).</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Antuña-Marrero, J. C., Mann, G., Keckhut, P., Avdyushin, S., Nardi, B.,
and Thomason, L. W.: Ship borne lidar measurements in the Atlantic of the
1991 Mt Pinatubo eruption, PANGAEA, <a href="https://doi.org/10.1594/PANGAEA.912770" target="_blank">https://doi.org/10.1594/PANGAEA.912770</a> , 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Antuña, J. C., Robock, A., Stenchikov, G. L., Thomason, L. W., and
Barnes, J. E.: Lidar validation of SAGE II aerosol measurements after the 1991
Mount Pinatubo eruption, J. Geophys. Res., 107, 4194, <a href="https://doi.org/10.1029/2001JD001441" target="_blank">https://doi.org/10.1029/2001JD001441</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Antuña, J. C., Robock, A., Stenchikov, G. L., Zhou, J., David, C.,
Barnes, J. E., and Thomason, L. W.: Spatial and temporal variability of the
stratospheric aerosol cloud produced by the 1991 Mount Pinatubo eruption,
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