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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</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/gmd-11-2581-2018</article-id><title-group><article-title>The Interactive Stratospheric Aerosol Model Intercomparison Project (ISA-MIP): motivation and experimental design</article-title><alt-title>ISA-MIP: motivation and experimental design</alt-title>
      </title-group><?xmltex \runningtitle{ISA-MIP: motivation and experimental design}?><?xmltex \runningauthor{C.~Timmreck et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Timmreck</surname><given-names>Claudia</given-names></name>
          <email>claudia.timmreck@mpimet.mpg.de</email>
        <ext-link>https://orcid.org/0000-0001-5355-0426</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>Aquila</surname><given-names>Valentina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2060-6694</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff18">
          <name><surname>Hommel</surname><given-names>Rene</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lee</surname><given-names>Lindsay A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8029-6328</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff7">
          <name><surname>Schmidt</surname><given-names>Anja</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8759-2843</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Brühl</surname><given-names>Christoph</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Carn</surname><given-names>Simon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0360-6660</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Chin</surname><given-names>Mian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Dhomse</surname><given-names>Sandip S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3854-5383</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Diehl</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12 aff13">
          <name><surname>English</surname><given-names>Jason M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9700-6860</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Mills</surname><given-names>Michael J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8054-1346</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Neely</surname><given-names>Ryan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4560-4812</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15 aff16">
          <name><surname>Sheng</surname><given-names>Jianxiong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8008-3883</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff17">
          <name><surname>Toohey</surname><given-names>Matthew</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7070-405X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16">
          <name><surname>Weisenstein</surname><given-names>Debra</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1845-6498</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Max-Planck-Institute for Meteorology, Hamburg, Germany</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>UK National Centre for Atmospheric Science, University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>American University, Dept. of Environmental Science, Washington, DC, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Environmental Physics, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge, CB2 1EW, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Geography, University of Cambridge, Downing Place, Cambridge, CB2 3EN, UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Max-Planck-Institute for Chemistry, Mainz, Germany</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Dept. Geo. Min. Eng. Sci. MTU, Houghton, MI, USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Directorate for Sustainable Resources, Joint Research Centre, European Commission, Ispra, Italy</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>University of Colorado, Cooperative Institute for Research in Environmental Sciences, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>NOAA Earth Systems Laboratory, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Atmospheric Chemistry Observations and Modeling, National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>ETHZ, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>John  A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>GEOMAR Helmholtz Centre for Ocean Research, Kiel, Germany</institution>
        </aff>
        <aff id="aff18"><label>a</label><institution>now at: Hommel &amp; Graf Environmental, Hamburg, Göttingen, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Claudia Timmreck (claudia.timmreck@mpimet.mpg.de)</corresp></author-notes><pub-date><day>5</day><month>July</month><year>2018</year></pub-date>
      
      <volume>11</volume>
      <issue>7</issue>
      <fpage>2581</fpage><lpage>2608</lpage>
      <history>
        <date date-type="received"><day>8</day><month>December</month><year>2017</year></date>
           <date date-type="rev-request"><day>9</day><month>January</month><year>2018</year></date>
           <date date-type="rev-recd"><day>22</day><month>May</month><year>2018</year></date>
           <date date-type="accepted"><day>25</day><month>May</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018.html">This article is available from https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018.pdf</self-uri>
      <abstract>
    <p id="d1e346">The Stratospheric Sulfur and its Role in Climate (SSiRC)
Interactive Stratospheric Aerosol Model Intercomparison Project (ISA-MIP)
explores uncertainties in the processes that connect volcanic emission of
sulfur gas species and the radiative forcing associated with the resulting
enhancement of the stratospheric aerosol layer. The central aim of ISA-MIP
is to constrain and improve interactive stratospheric aerosol models and
reduce uncertainties in the stratospheric aerosol forcing by comparing
results of standardized model experiments with a range of observations. In
this paper we present four co-ordinated inter-model experiments designed to
investigate key processes which influence the formation and temporal
development of stratospheric aerosol in different time periods of the
observational record. The Background (BG) experiment will focus on
microphysics and transport processes under volcanically quiescent
conditions, when the stratospheric aerosol is controlled by the transport of
aerosols and their precursors from the troposphere to the stratosphere. The
Transient Aerosol Record (TAR) experiment will explore the role of
small- to moderate-magnitude volcanic eruptions, anthropogenic sulfur
emissions, and transport processes over the period 1998–2012 and their role
in the warming hiatus. Two further experiments will investigate the
stratospheric sulfate aerosol evolution after major volcanic eruptions. The
Historical Eruptions <inline-formula><mml:math id="M1" 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 Assessment (HErSEA) experiment
will focus on the uncertainty in the initial emission of recent
large-magnitude volcanic eruptions, while the Pinatubo<?pagebreak page2582?> Emulation in
Multiple models (PoEMS) experiment will provide a comprehensive
uncertainty analysis of the radiative forcing from the 1991 Mt Pinatubo eruption.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e367">Stratospheric aerosol is an important component of the Earth system, which
influences atmospheric radiative transfer, composition, and dynamics, thereby
modulating the climate. The effects of stratospheric aerosol on climate are
especially evident when the opacity of the stratospheric aerosol layer is
significantly increased after volcanic eruptions. Through changes in the
radiative properties of the stratospheric aerosol layer, volcanic eruptions
are a significant driver of climate variability (e.g. Myhre et al., 2013;
Zanchettin et al., 2016). Major volcanic eruptions inject vast amounts of
<inline-formula><mml:math id="M2" 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> into the stratosphere, which is converted into sulfuric acid
aerosol with an <inline-formula><mml:math id="M3" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time of about a month, which might be prolonged
due to OH depletion within the dense <inline-formula><mml:math id="M4" 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 first weeks
following a large volcanic eruption (Mills et al., 2017).</p>
      <p id="d1e399">Observations show that the stratospheric aerosol layer remains enhanced for
several years after major eruptions (SPARC, 2006). Such long-lasting volcanic
perturbations cool the Earth's surface by scattering incoming solar
radiation and warm the stratosphere by the absorption of infrared solar and
long-wave terrestrial radiation which affect the dynamical structure as well
as the chemical composition of the atmosphere (e.g. Robock, 2000; Timmreck,
2012). The consequent heating of the stratospheric sulfate layer, impacts
stratospheric dynamics in various ways. It amplifies the Brewer–Dobson
circulation (BDC) and modifies the equator-to-pole temperature gradient,
driving changes in geostrophic zonal winds and the propagation of
atmospheric waves (e.g. Bittner et al., 2016; Toohey et al., 2014) and
strengthening the polar vortex (e.g. Charlton-Perez et al., 2013). The
heating from continued <inline-formula><mml:math id="M5" 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> injection to the stratosphere may further
disturb or even “shut down” the quasi-biennial oscillation (QBO)
(e.g. Aquila et al., 2014; Niemeier and Schmidt, 2017). The radiatively driven
changes also influence the transport and the lifetime of long-lived species
(<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Pitari et al., 2016a; Visioni et al., 2017). The
enhanced stratospheric aerosol layer after large volcanic eruptions also causes large mean age-of-air variations on timescales of several years
(e.g. Ray et al., 2014; Muthers et al., 2016; Garfinkel et al., 2017).</p>
      <p id="d1e437">As the ocean has a much longer memory than the atmosphere, large volcanic
eruptions could have a long-lasting impact on the climate system that
extends beyond the duration of the volcanic forcing (e.g., Zanchettin et
al., 2012; Swingedouw et al., 2017). The chemical and radiative effects of
the stratospheric aerosol are strongly influenced by its particle size
distribution. Heterogeneous chemical reactions, which most notably lead to
substantial ozone depletion (e.g. WMO/UNEP, 2007, chap. 3),
take place on the surface of the stratospheric aerosol particles and are
dependent on the aerosol surface area density. Aerosol particle size
determines the scattering efficiency of the particles (e.g. Lacis et al.,
1992) and their atmospheric lifetime
(e.g., Pinto et al., 1989; Timmreck et al., 2010). Smaller-magnitude eruptions than the 1991 Mt Pinatubo eruption can
also have significant impacts on climate. It is now established that a
series of relatively small-magnitude volcanic eruptions caused the increase
in stratospheric aerosol observed between 2000 and 2010 based on ground and satellite-borne observations (Vernier et al., 2011b;
Neely III et al., 2013). Studies have suggested that this increase in
stratospheric aerosol partly counteracted the warming due to increased
greenhouse gases over that period (e.g. Solomon et al., 2011; Ridley et al.,
2014; Santer et al., 2015). Small to moderate volcanic eruptions after 2008
also show an impact on the stratospheric circulation in the Northern
Hemisphere, in particular on the pattern of decadal mean age variability and
its trends during 2002–2011 (Diallo et al., 2017). Since the 2006 SPARC
Assessment of Stratospheric Aerosol Properties Report (SPARC, 2006, herein
referred to as ASAP2006) the increase in observations of stratospheric aerosol
and its precursor gases and in the number of models which treat
stratospheric aerosol interactively has advanced scientific understanding
of the stratospheric aerosol layer and its effects on the climate (Kremser
et al., 2016, herein referred to as KTH2016). In particular, research
findings have given to the community a greater awareness of the role of the
tropical tropopause layer (TTL) as a distinct pathway for transport into the
stratosphere, of the interactions between stratospheric composition and
dynamics, and of the importance of moderate-magnitude eruptions in
influencing the stratospheric aerosol loading. In addition, over the last
decade several new satellite instruments producing observations relevant to
the stratospheric aerosol layer have become operational. For example, we now
have a 2002–2012 record of global altitude-resolved <inline-formula><mml:math id="M8" 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>, carbonyl
sulfide (OCS) and aerosol volume density measurements provided by the
Michelson Interferometer for Passive Atmospheric Sounding Environmental
Satellite (MIPAS ENVISAT; Höpfner et al., 2013, 2015; Glatthor et al.,
2015; Günther et al., 2018). Furthermore aerosol extinction vertical
profiles are available from limb-profiling instruments, such as the Scanning
Imaging Absorption Spectrometer for Atmospheric Chartography (SCIAMACHY;
2002–2012; Bovensmann et al., 1999; von Savigny et al., 2015), the Optical
Spectrograph and InfraRed Imager System (OSIRIS; 2001–present; Bourassa et
al., 2007), and the Ozone Mapping and Profiler Suite–Limb Profiler (OMPS-LP; 2011–present; Rault and Loughman, 2013), and from the active sensor lidar
measurements such as the Cloud-Aerosol Transport System (CATS; 2015–present; Yorks et al., 2015) and Cloud-Aerosol Lidar with Orthogonal Polarization
(CALIOP; 2006-present; Vernier et<?pagebreak page2583?> al., 2009). Existing measurements have
become more robust, for example by homogenizing the observations of aerosol
properties derived from optical particle counter (OPC) and satellite
measurements during stratospheric aerosol background periods (Kovilakam and
Deshler, 2015), which previously showed large differences (Thomason et al.,
2008). Other efforts include combining and comparing different satellite
data sets (e.g. Rieger et al., 2015). However, some notable discrepancies
still exist between different measurement data sets. For example, Reeves et
al. (2008) showed that aircraft-borne Focused Cavity Aerosol Spectrometer (FCAS)
measurements of the particle size distribution during the late 1990s
yield surface area densities a factor 1.5 to 3 higher than that derived from
Stratospheric Aerosol and Gases Experiment (SAGE-II) measurements.</p>
      <p id="d1e451">On the modelling side there has been an increasing amount of global
three-dimensional stratospheric aerosol models developed within the last
years and used by research teams around the world (KTH2016). The majority of
these global models explicitly simulate aerosol microphysical processes and
treat the full life cycle of stratospheric aerosol, from the initial
injection of sulfur-containing gases and their transformation into aerosol
particles to their final removal from the stratosphere. Several of these
models also include the interactive coupling between aerosol microphysics,
atmospheric chemistry, dynamics, and radiation.</p>
      <p id="d1e455">Given the improvements in observations and modelling of stratospheric
aerosol since ASAP2006, we anticipate further advances in our understanding
of stratospheric aerosol by combining the recent observational record with
results from the current community of interactive stratospheric aerosol
models. An Interactive Stratospheric Aerosol Model Intercomparison Project (ISA-MIP)
has therefore been developed within the Stratospheric Sulfur and its Role in Climate (SSiRC) framework. The SPARC
activity SSiRC (<uri>http://www.sparc-ssirc.org</uri>, last access: 26 June 2018) was initiated with the goal of reducing uncertainties
in the properties of stratospheric aerosol and assessing its climate forcing. In particular, constraining simulations of historical eruptions with
available observational data sets gives the potential to evaluate and
substantially improve the accuracy of the volcanic forcing data sets used in
climate models. This will not only enhance consistency with observed
stratospheric aerosol properties and the underlying microphysical, chemical,
and dynamical processes but also improve their conceptual understanding. The
use of such new volcanic forcing data sets has the potential to increase the
reliability of the simulated climate impacts of volcanic eruptions, which
have been identified as a major influence on decadal global mean surface
temperature trends in climate models (Marotzke and Forster, 2015).</p>
      <p id="d1e461">The first international model inter-comparison of global stratospheric
aerosol models was carried out within ASAP2006 and indicated that model
simulations and satellite observations of stratospheric background aerosol
extinction agree reasonably well in the visible wavelengths but not in the
infrared. It also highlighted systematic differences between modelled and
retrieved aerosol size, which have later been linked to shortcomings in the
retrieval methods with regard to the detection of Aitken mode sized
particles(<inline-formula><mml:math id="M9" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M10" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50 nm) in the lower stratosphere (Thomason et al., 2008;
Reeves et al., 2008; Hommel et al., 2011). While in ASAP2006, only five
global two- and three-dimensional stratospheric aerosol models were included
in the analysis, there are today more than 15 global three-dimensional models
available worldwide (KTH2016). No large comprehensive model intercomparison
has ever been carried out to identify differences in stratospheric aerosol
properties amongst these new interactive models. The models often show
significant differences in terms of their simulated transport, chemistry, and
removal of aerosols with inter-model differences in stratospheric
circulation, radiative dynamical interactions, and exchange with the
troposphere likely to play an important role (e.g. Aquila et al., 2012;
Niemeier and Timmreck, 2015). The formulation of microphysical processes is
also important (e.g. English et al., 2013), as are differing assumptions
regarding the sources of stratospheric aerosols and their precursors. A
combination of these effects likely explain the large inter-model differences
as seen in Fig. 1 among the global stratospheric aerosol models which
participated in the Tambora intercomparison, a precursor to the “consensus
volcanic forcings” aspects of the CMIP6 Model Intercomparison Project on the
climatic response to volcanic forcing (VolMIP; Zanchettin et al., 2016;
Marshall et al., 2018). Even for the relatively recent 1991 Mt Pinatubo
eruption, to reach the best agreement with observations, interactive
stratospheric models have used a wide range of <inline-formula><mml:math id="M11" 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> injections
amounts, from as low at 10 Tg <inline-formula><mml:math id="M12" 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> (Dhomse et al., 2014; Mills et
al., 2016) to as high as 20 Tg <inline-formula><mml:math id="M13" 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> (e.g. Aquila et al., 2012;
English et al., 2013).</p>
      <p id="d1e511">Volcanic eruptions are commonly taken as a real-world analogue for
hypothesized geoengineering via stratospheric sulfur solar radiation
management (SS-SRM). Indeed many of the assumptions and uncertainties
related to simulated volcanic perturbations of stratospheric aerosol are
also frequently given as caveats around research findings from modelling
studies which seek to quantify the likely effects from SS-SRM (e.g. National
Research Council, 2015), the mechanism steps between sulfur injection and
radiative cooling being common to both aspects (Robock et al., 2013). We expect the
analysis of the ISA-MIP experiments to improve our understanding of
model sensitivities to key sources of uncertainty and to inform the interpretation
of coupled climate model simulations and the next Intergovernmental Panel on
Climate Change (IPCC) assessment. It will also provide a foundation for
co-operation to assess the atmospheric and climate changes when the next
large-magnitude eruption takes place.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e516">Uncertainty in estimates of radiative forcing parameters for the
1815 eruption of Mt Tambora: global average aerosol optical depth (AOD) in
the visible band from an ensemble of simulations with chemistry–climate models
forced with a 60 Tg <inline-formula><mml:math id="M14" 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> equatorial eruption, from the Easy Volcanic
Aerosol (EVA; Toohey et al., 2016b) module with 56.2 Tg <inline-formula><mml:math id="M15" 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>
equatorial eruptions (thick dashed magenta line), from Stoffel et al. (2015),
from Crowley and Unterman (2013), and from Gao et al. (2008; aligned so that
the eruption starts on April 1815). The estimate for the Pinatubo eruption as
used in the CMIP6 historical experiment is also reported for comparison. The
black triangle shows latitudinal position and timing of the eruption.
Chemistry–climate models are CESM (WACCM) (Mills et al., 2016),
MAECHAM5-HAM (Niemeier et al., 2009), SOCOL (Sheng et al., 2015a), UM-UKCA
(Dhomse et al., 2014), and CAMB-UPMC-M2D (Bekki, 1995; Bekki et al., 1996).
For models producing an ensemble of simulations, the line and shading are
the ensemble mean and ensemble standard deviation respectively. Figure from
Zanchettin et al. (2016).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f01.png"/>

      </fig>

      <p id="d1e547">In this paper, we introduce the new model intercomparison project ISA-MIP
developed within the SSiRC framework. In<?pagebreak page2584?> Sect. 2 we provide an overview of
the current state of stratospheric sulfur aerosol modelling and its
greatest challenges. In Sect. 3 we describe the scopes and protocols of
the four model experiments planned within ISA-MIP. A concluding summary is
provided in Sect. 4.</p>
</sec>
<sec id="Ch1.S2">
  <title>Modelling stratospheric aerosol: overview and challenges</title>
      <p id="d1e556">Before we discuss the current state of stratospheric aerosol modelling and
its greatest challenges in detail, we briefly describe the main features of
the stratospheric sulfur cycle. We are aware of the fact that the
stratospheric aerosol layer also contains organics and inclusions of
meteoritic dust (Ebert et al., 2016) and, after volcanic events, also
co-exists with volcanic ash (e.g. Pueschel et al., 1994: KTH2016). However,
the focus of the ISA-MIP experiments described here is on a comparison with measurements of the overall optical and physical properties of the
stratospheric aerosol layer, which is mainly determined by sulfate.</p>
<sec id="Ch1.S2.SS1">
  <title>The stratospheric aerosol life cycle</title>
      <p id="d1e564">The stratospheric aerosol layer and its temporal and spatial variability are
determined by the transport of aerosol and aerosol precursors in the
stratosphere and their modification by chemical and microphysical processes
(Hamill et al., 1997; ASAP2006; KTH2016). Volcanic eruptions can inject
sulfur-bearing gases directly into the stratosphere, which significantly
enhances the stratospheric aerosol load for years. A number of observations
show that stratospheric aerosol increased over the first decade of the
21st century (e.g. Hofmann et al., 2009; Vernier et al., 2011b; Ridley
et al., 2014). Although such an increase was attributed to the possible cause
of Asian anthropogenic emission increase (Hofmann et al., 2009), later
studies have shown that small-to-moderate magnitude volcanic eruptions are
likely to be the major source of this recent increase (Vernier et al.,
2011b; Neely III et al., 2013; Brühl et al., 2015).</p>
      <p id="d1e567">Besides major volcanic eruptions, the photochemical
oxidation of OCS, an insoluble gas mainly inert in the troposphere, is a stratospheric source.
Tropospheric aerosols and aerosol precursors also enter the stratosphere
through the tropical tropopause and through convective updrafts in the Asian
and North American monsoons (Hofmann et al., 2009; Hommel et al., 2011;
Vernier et al., 2011a; Bourassa et al., 2012; Yu et al., 2015). In the
stratosphere, new sulfate aerosol particles are formed by binary homogenous
nucleation (Vehkamäki et al., 2002), a process in which sulfuric acid
vapour (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>(g)) and water vapour condense simultaneously to form
a liquid droplet. The condensation of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>(g) onto pre-existing
aerosol particles and the coagulation among particles shift the aerosol size
distribution to greater radii. This takes place especially under
volcanically perturbed conditions, when the concentrations of aerosol in the
stratosphere are higher (e.g. Deshler, 2008).</p>
      <p id="d1e602">From the tropics, where most of the tropospheric aerosol enters the
stratosphere and the OCS chemistry is most active, the stratospheric aerosol
particles are transported poleward within the large-scale BDC and removed
through gravitational sedimentation and cross-tropopause transport in the
extratropical regions. Internal variability associated with the QBO alters
the isolation of the tropical stratosphere and subsequently the poleward
transport of tropical stratospheric aerosol and modifies its global
dispersal, particle size distribution, and residence time (e.g. Trepte and
Hitchman, 1992; Hommel et al., 2015; Pitari et al., 2016b)</p>
      <p id="d1e605">In general, under volcanically perturbed conditions with larger amounts of
injected <inline-formula><mml:math id="M18" 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>, aerosol particles grow to much larger radii than in
volcanically quiescent conditions (e.g. Deshler, 2008). The simulation of extremely
large volcanic sulfur-rich eruptions shows a shift to particle sizes even
larger than observed after the Pinatubo eruption and predicts<?pagebreak page2585?> a reduced
cooling efficiency compared to moderate eruptions with moderate sulfur
injections (e.g. Timmreck et al., 2010; English et al., 2013).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Global stratospheric aerosol models: current status and challenges</title>
      <p id="d1e625">A comprehensive simulation of the spatio-temporal evolution of the particle
size distribution is a continuing challenge for stratospheric aerosol
models. Due to computational constraints, the formation of the stratospheric
aerosol and the temporal evolution of its size distribution are usually
parameterized with various degrees of complexity in global models. The
simplest way to simulate the stratospheric aerosol distribution in global
climate models is the mass-only (bulk) approach (e.g. Timmreck et al.,
1999a, 2003; Aquila et al., 2012), where only the total sulfate mass is
prognostically simulated and chemical and radiative processes are calculated
assuming a fixed typical particle size distribution. More complex methods
are size-segregated approaches, such as the modal approach (e.g. Niemeier et
al., 2009; Toohey et al., 2011; Brühl et al., 2012; Dhomse et al., 2014;
Mills et al., 2016), where the aerosol size distribution is simulated using
one or more modes, usually of log-normal shape. The mean radius of each mode
of these size distributions varies in time and space. Another common
approach is the sectional method (e.g. English et al., 2011; Hommel et al.,
2011; Sheng et al., 2015a; for ref prior to 2006 see ASAP2006, chap. 5),
where the particle size distribution is divided into distinct size sections.
Number and width of the size sections are dependent on the specific model
configuration but are fixed throughout time and space. Size sections may be
defined by an average radius, or by an average mass of sulfur, and are
often spaced geometrically.</p>
      <p id="d1e628">The choice of methods has an influence on simulated stratospheric aerosol
size distributions and therefore on radiative and chemical effects. While
previous model intercomparison studies in a box model (Kokkola et al., 2009)
or in a two-dimensional framework (Weisenstein et al., 2007) were very
useful for the microphysical schemes, they could not address uncertainties
in the spatial transport pattern, e.g. transport across the tropopause and
the subtropical transport barrier or regional/local differences in wet and
dry removal. These uncertainties can only be addressed in a global
three-dimensional model framework and with a careful validation with a
variety of observational data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e633">Schematic overview over the processes that influence the stratospheric
aerosol size distribution. The related SSiRC experiments are listed below.
BG stands for Background, TAR for Transient Aerosol Record, HErSEA for
Historical Eruption <inline-formula><mml:math id="M19" 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 Assessment, and PoEMs for
Pinatubo Emulation in Multiple models.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e656"><bold>(a)</bold> Composite of QBO-induced residual anomalies in the
MAECHAM5-SAM2 modelled aerosol mass mixing ratio with respect to the time of
onset of westerly zonal mean zonal wind at 18 hPa. Black contours denote the
residual zonal wind. Dashed lines represent easterlies, contour interval is
5 ms. <bold>(b)</bold> Same but for the modelled effective radius of aerosols with
<inline-formula><mml:math id="M20" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 50 nm. Figure from Hommel et al. (2015).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f03.png"/>

        </fig>

      <p id="d1e684">The June 1991 eruption of Mt Pinatubo, with the vast net of observations
that tracked the evolution of the volcanic aerosol, provides a unique
opportunity to test and validate global stratospheric aerosol models and
their ability to simulate stratospheric transport processes. Previous model
studies (e.g. Timmreck et al., 1999b; Aquila et al., 2012) highlighted the
importance of an interactive online treatment of stratospheric aerosol
radiative heating for the simulated transport of the volcanic cloud. A
crucial point is the simulation of the tropical stratospheric aerosol
reservoir (i.e., the tropical pipe, Plumb, 1996) and the meridional
transport through the subtropical transport barrier. Some models show a very
narrow tropical maximum in comparison to satellite data (e.g., Dhomse et al.,
2014) while others show too fast a transport to higher latitudes and fail to
reproduce the long persistence of the tropical aerosol reservoir
(e.g. Niemeier et al., 2009; English et al., 2013). Sulfate geoengineering
studies confirm the importance of the model-dependent meridional transport
through the subtropical barrier (e.g. Niemeier and Timmreck, 2015; Visoni et
al., 2018; Kleinschmitt et al., 2018). Reasons for these differences need to
be understood with a multi-model comparison study, as suggested for example
by Tilmes et al. (2015).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>The ISA-MIP experiments</title>
      <p id="d1e694">Many uncertainties remain in the model representation of stratospheric
aerosol. Figure 2 summarizes the main processes that determine the
stratospheric sulfate aerosol mass load, size distribution, and the
associated optical properties. The four experiments in ISA-MIP are designed
to address these key processes under a well-defined experiment protocol with
prescribed boundary conditions (sea surface temperatures (SSTs), emissions).
All simulations will be compared to observations to evaluate model
performances and understand model strengths and weaknesses. The experiment
Background (BG) focuses on microphysics and transport (Sect. 3.1)
under volcanically quiescent conditions, when stratospheric aerosol is only
modulated by seasonal changes and interannual variability. The experiment
Transient Aerosol Record (TAR) addresses the role of time-varying
<inline-formula><mml:math id="M22" 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, in particular the role of small- to moderate-magnitude
volcanic eruptions and transport processes in the upper troposphere–lower
stratosphere (UTLS) over the period 1998–2012 (Sect. 3.2). Two further
experiments investigate the stratospheric sulfate aerosol size distribution
under the influence of large volcanic eruptions. The
Historical Eruptions <inline-formula><mml:math id="M23" 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 Assessment (HErSEA) focuses on the
uncertainty in the initial emission characteristics of recent large volcanic
eruptions (Sect. 3.3), while Pinatubo Emulation in
Multiple models (PoEMS) provides an extensive uncertainty
analysis of the radiative forcing of the Mt Pinatubo eruption. In
particular the ISA-MIP model experiments aim to address the following questions:
<list list-type="order"><list-item>
      <p id="d1e721">How large is the stratospheric sulfate load under volcanically quiescent
conditions, and how sensitive is the simulation of this background aerosol
layer to model-specific microphysical parameterization and transport? (Sect. 3.1)</p></list-item><list-item>
      <p id="d1e725">Can we explain the sources and mechanisms behind the observed variability
in stratospheric aerosol load since the year 2000? (Sect. 3.2)</p></list-item><list-item>
      <p id="d1e729">Can stratospheric aerosol observations constrain uncertainties in the
initial sulfur injection amount and altitude distribution of the three largest
volcanic eruptions of the last 100 years? (Sect. 3.3)</p></list-item><list-item>
      <p id="d1e733">What is the confidence interval for volcanic forcing of the Pinatubo
eruption simulated by interactive stratospheric aerosol models and to which
parameter uncertainties are the predictions most sensitive to? (Sect. 3.4)</p></list-item></list>
Table 1 gives an overview over all ISA-MIP experiments, which are described
in detail below. In general each experiment will include several simulations
from which only a subset is mandatory (Tier1). The modelling groups are free
to choose in which of the experiments they would like to participate; however, the BG Tier1 simulation is mandatory for all groups and the entry
card for the ISA-MIP intercomparison. All model results will be saved in a
consistent format (netCDF), made available via
<uri>https://cera-www.dkrz.de/WDCC/ui/cerasearch/</uri> (last access: 26 June 2018), and compared to a set of benchmark
observations. More detailed technical information about data requests can be
found in the Supplement and on the ISA-MIP webpage:
<uri>http://www.isamip.eu</uri> (last access: 26 June 2018).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e746">General overview of the SSIRC ISA-MIP experiments.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2">Focus</oasis:entry>
         <oasis:entry colname="col3">Number of specific</oasis:entry>
         <oasis:entry colname="col4">Years</oasis:entry>
         <oasis:entry colname="col5">Total</oasis:entry>
         <oasis:entry colname="col6">Knowledge gap to be addressed</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">experiments</oasis:entry>
         <oasis:entry colname="col4">per</oasis:entry>
         <oasis:entry colname="col5">years<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">experiment</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Background</oasis:entry>
         <oasis:entry colname="col2">Stratospheric sulfur</oasis:entry>
         <oasis:entry colname="col3">1 mandatory <inline-formula><mml:math id="M30" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20 (60)</oasis:entry>
         <oasis:entry colname="col6">20-year climatology to understand</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">stratospheric</oasis:entry>
         <oasis:entry colname="col2">budget in volcanically</oasis:entry>
         <oasis:entry colname="col3">2 recommended</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">sources and sinks of stratospheric</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">aerosol <inline-formula><mml:math id="M31" display="inline"><mml:mo>(</mml:mo></mml:math></inline-formula>BG<inline-formula><mml:math id="M32" display="inline"><mml:mo>)</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">quiescent conditions</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">background aerosol; assessment of</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">sulfate aerosol load under</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">volcanically quiescent conditions</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Transient</oasis:entry>
         <oasis:entry colname="col2">Transient stratospheric</oasis:entry>
         <oasis:entry colname="col3">4 mandatory <inline-formula><mml:math id="M33" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 3 optional</oasis:entry>
         <oasis:entry colname="col4">15</oasis:entry>
         <oasis:entry colname="col5">60</oasis:entry>
         <oasis:entry colname="col6">Evaluate models over the period</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol</oasis:entry>
         <oasis:entry colname="col2">aerosol properties over</oasis:entry>
         <oasis:entry colname="col3">experiments</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(75, 105)</oasis:entry>
         <oasis:entry colname="col6">1998–2012 with different volcanic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Record</oasis:entry>
         <oasis:entry colname="col2">the period 1998 to 2012</oasis:entry>
         <oasis:entry colname="col3">recommended are 5 (see</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">emission data sets;</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M34" display="inline"><mml:mo>(</mml:mo></mml:math></inline-formula>TAR<inline-formula><mml:math id="M35" display="inline"><mml:mo>)</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">using different volcanic</oasis:entry>
         <oasis:entry colname="col3">also Table 4)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">understand drivers and</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">emission data sets</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">mechanisms for observed</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">stratospheric aerosol changes</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">since 1998</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Historic</oasis:entry>
         <oasis:entry colname="col2">Perturbation of</oasis:entry>
         <oasis:entry colname="col3">For each (<inline-formula><mml:math id="M36" display="inline"><mml:mo lspace="0mm">×</mml:mo></mml:math></inline-formula> 3) eruption</oasis:entry>
         <oasis:entry colname="col4">4</oasis:entry>
         <oasis:entry colname="col5">180</oasis:entry>
         <oasis:entry colname="col6">Assess how injected <inline-formula><mml:math id="M37" 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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eruption <inline-formula><mml:math id="M38" 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></oasis:entry>
         <oasis:entry colname="col2">stratospheric aerosol;</oasis:entry>
         <oasis:entry colname="col3">control, median and</oasis:entry>
         <oasis:entry colname="col4">recom. 6</oasis:entry>
         <oasis:entry colname="col5">(270)</oasis:entry>
         <oasis:entry colname="col6">propagates through to radiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Emission</oasis:entry>
         <oasis:entry colname="col2">from <inline-formula><mml:math id="M39" 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</oasis:entry>
         <oasis:entry colname="col3">4 (2 <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2) of high/low</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">effects for different historical major</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Assessment</oasis:entry>
         <oasis:entry colname="col2">appropriate for 1991</oasis:entry>
         <oasis:entry colname="col3">deep/shallow (see</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">tropical eruptions in the different</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M41" display="inline"><mml:mo>(</mml:mo></mml:math></inline-formula>HErSEA<inline-formula><mml:math id="M42" display="inline"><mml:mo>)</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Pinatubo, 1982 El</oasis:entry>
         <oasis:entry colname="col3">also Table 6)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">interactive stratospheric aerosol</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Chichón, 1963, Agung</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">models;</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">use stratospheric aerosol</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">measurements to constrain</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">uncertainties in emissions and gain</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">new observationally constrained</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">volcanic forcing and surface area</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">density data sets;</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">explore the relationship between</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">volcanic emission uncertainties</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">and volcanic forcing</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">uncertainties</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pinatubo</oasis:entry>
         <oasis:entry colname="col2">Perturbed parameter</oasis:entry>
         <oasis:entry colname="col3">10 experiments per</oasis:entry>
         <oasis:entry colname="col4">3 per</oasis:entry>
         <oasis:entry colname="col5">90 (150,</oasis:entry>
         <oasis:entry colname="col6">Intercompare Pinatubo perturbation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Emulation in</oasis:entry>
         <oasis:entry colname="col2">ensemble of runs to</oasis:entry>
         <oasis:entry colname="col3">parameter, where the</oasis:entry>
         <oasis:entry colname="col4">experiment<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">240)</oasis:entry>
         <oasis:entry colname="col6">to stratospheric-aerosol properties with full</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Multiple</oasis:entry>
         <oasis:entry colname="col2">quantify uncertainty in</oasis:entry>
         <oasis:entry colname="col3">number of parameters</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">uncertainty analysis over PPE run</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Models</oasis:entry>
         <oasis:entry colname="col2">each model's</oasis:entry>
         <oasis:entry colname="col3">refers to the</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">by each model;</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M44" display="inline"><mml:mo>(</mml:mo></mml:math></inline-formula>PoEMS<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">predictions</oasis:entry>
         <oasis:entry colname="col3">minimum (3),</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">quantify sensitivity of predicted</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">reduced (5), or</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">Pinatubo perturbation stratospheric</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">standard (8)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">aerosol properties and radiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">parameter set (see</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">effects to uncertainties in injection</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">also Table 10)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">settings and model processes;</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">quantify and intercompare sources</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">of uncertainty in simulated</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">Pinatubo radiative forcing for the</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">different complexity models</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.90}[.90]?><table-wrap-foot><p id="d1e749"><?xmltex \hack{\vspace*{1mm}}?><inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Each model will need to include an appropriate
initialization and spin-up time for each ensemble member (<inline-formula><mml:math id="M25" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 3–6 years
depending on model configuration). <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> As explained in the caption
to Table 11 and Sect. 3.4, models will need to restrict the PoEMS parameter scaling
to volcanically enhanced air masses (either via a total-sulfur vmr (volume mixing ratio) threshold
or a passive volcanic <inline-formula><mml:math id="M27" 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> tracer). <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Although the Pinatubo
enhancement to the stratospheric aerosol layer remained apparent until 1997
(e.g. Wilson et al., 2008), whereas the HErSEA experiments will continue for longer,
the PoEMS analysis will require only 3 post-eruption years to be run, as this
gives sufficient time after the peak aerosol to characterize decay timescales
robustly (e.g. ASAP2006, Sect. 5).</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e1781">List of stratospheric aerosol and <inline-formula><mml:math id="M46" 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 available
for the BG and TAR time period.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Measurement/platform</oasis:entry>
         <oasis:entry colname="col2">Time period 1998–2014</oasis:entry>
         <oasis:entry colname="col3">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M47" 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> profile/MLS</oasis:entry>
         <oasis:entry colname="col2">2004–2011</oasis:entry>
         <oasis:entry colname="col3">Pumphrey et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M48" 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> profile/MIPAS</oasis:entry>
         <oasis:entry colname="col2">2002–2012</oasis:entry>
         <oasis:entry colname="col3">Höpfner et al. (2013, 2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction profile, size/SAGE II</oasis:entry>
         <oasis:entry colname="col2">1998–2005</oasis:entry>
         <oasis:entry colname="col3">Russell and McCormick (1989)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction profile, size/OSIRIS</oasis:entry>
         <oasis:entry colname="col2">2001–2011</oasis:entry>
         <oasis:entry colname="col3">McLinden et al. (2012),</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Rieger et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction profile/GOMOS</oasis:entry>
         <oasis:entry colname="col2">2002–2021</oasis:entry>
         <oasis:entry colname="col3">Vanhellemont et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction profile/SCIAMACHY</oasis:entry>
         <oasis:entry colname="col2">2002–2012</oasis:entry>
         <oasis:entry colname="col3">Taha et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">von Savigny et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction profile/CALIOP</oasis:entry>
         <oasis:entry colname="col2">2006–2011</oasis:entry>
         <oasis:entry colname="col3">Vernier et al. (2009, 2011a, b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol extinction or AOD merged products</oasis:entry>
         <oasis:entry colname="col2">1998–2011</oasis:entry>
         <oasis:entry colname="col3">Rieger et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AOD from AERONET and lidars</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Ridley et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface area density</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Kovilakam and Deshler (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Eyring et al. (2013)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1995">It is mandatory for participating models to run with interactive sulfur
chemistry (see review in SPARC ASAP2006) in order to capture the oxidation
pathway from precursors to aerosol particles, including aerosol growth due
to condensation of <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Chemistry–climate models (CCMs) with
full interactive chemistry follow the Chemistry Climate Initiative (CCMI)
hindcast scenario REF-C1 (Eyring et al., 2013,
<uri>http://www.met.reading.ac.uk/ccmi/?page_id=11</uri>, last access: 26 June 2018) for the
treatment of chemical fields and emissions of greenhouse gases (GHGs), ozone-depleting substances (ODSs), and very short-lived substances (VSLSs). Sea
surface temperatures and sea ice extent are prescribed as monthly
climatologies from the MetOffice Hadley Center Observational Dataset (Rayner
et al., 2003). An overview of the boundary conditions is included in the
Supplement (Table S1). Table S2 reports the inventories to be
used for tropospheric emissions of aerosols and aerosol precursors.
Anthropogenic sulfur emissions and biomass burning are taken from the
Monitoring Atmospheric Composition and Climate (MACC)-CITY climatology
(Granier et al., 2011). S emissions from continuously erupting volcanoes are
taken into account using Dentener et al. (2006), which is based on Andres and
Kasgnoc (1998). OCS concentrations<?pagebreak page2587?> are fixed at the surface at a value of
510 pptv (Montzka et al., 2007; ASAP2006). If possible, dimethyl sulfide (DMS), dust, and sea
salt emissions should be calculated online depending on the model
meteorology. Models considering DMS oxidation should calculate seawater DMS
emissions as a function of wind speed and DMS seawater concentrations.
Otherwise, modelling groups should prescribe for these species their usual
emission database for the year 2000. Each group can specify solar forcing
for year-2000 conditions according to their usual data set.</p>
      <p id="d1e2017">Modelling groups are encouraged to include a set of passive tracers to
diagnose the atmospheric transport independently of emissions, mostly
following the CCMI recommendations (Eyring et al., 2013). These tracers are
listed in Table S3. Models diagnose aerosol
parameters as specified in Tables S4 and S5. Additionally, volume mixing ratios
of specified precursors are diagnosed.</p><?xmltex \hack{\newpage}?>
<?pagebreak page2588?><sec id="Ch1.S3.SS1">
  <title>Stratospheric background aerosol (BG)</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Summary of experiment</title>
      <p id="d1e2031">The overall objective of the BG experiment is to better understand the
processes involved in maintaining the stratospheric background aerosol
layer, i.e. stratospheric aerosol not resulting from direct volcanic
injections into the stratosphere. The simulations prescribed for this
experiment are time-slice simulations for the year 2000 with prescribed SST
including all sources of aerosols and aerosol precursors except for
explosive volcanic eruptions. The result of BG will be a multi-model
climatology of aerosol distribution, composition, and microphysical
properties in the absence of volcanic eruptions. By comparing models with
different aerosol microphysics parameterization and simulations of
background circulation with a variety of observational data (Table 2), we
aim to assess how these processes impact the simulated aerosol characteristics.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e2037">Overview of BG experiments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Exp-name</oasis:entry>
         <oasis:entry colname="col2">Specific description/</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">Ensemble</oasis:entry>
         <oasis:entry colname="col5">Years per</oasis:entry>
         <oasis:entry colname="col6">Tier</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">volcanic emission</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">size</oasis:entry>
         <oasis:entry colname="col5">member</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BG_QBO</oasis:entry>
         <oasis:entry colname="col2">Background simulation</oasis:entry>
         <oasis:entry colname="col3">Time slice year 2000 monthly</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">varying with internal or nudged</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">QBO</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BG_NQBO</oasis:entry>
         <oasis:entry colname="col2">Perpetual easterly phase of the</oasis:entry>
         <oasis:entry colname="col3">Time slice year 2000 monthly</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">QBO for the whole simulation</oasis:entry>
         <oasis:entry colname="col3">varying without QBO</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BG_NAT</oasis:entry>
         <oasis:entry colname="col2">Only natural sources of aerosol</oasis:entry>
         <oasis:entry colname="col3">Time slice year 2000 monthly</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(including biomass burning)</oasis:entry>
         <oasis:entry colname="col3">varying with internal or nudged</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">QBO (when possible)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Motivation</title>
      <p id="d1e2265">The total net sulfur mass flux from the troposphere into the stratosphere
is estimated to be about 181 Gg S yr<inline-formula><mml:math id="M50" 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> based on simulations by Sheng et
al. (2015a) using the SOCOL-AER model, 1.5 times larger than reported in
ASAP2006 (KTH2016). This estimate, however, could be highly dependent on the
specific characteristics of the model used, such as the strength of convective
systems, scavenging efficiency, and the occurrence of stratosphere–troposphere
exchange. Therefore, especially in the lower stratosphere, the simulated distribution of stratospheric background
aerosol could show a very large
inter-model variability.</p>
      <p id="d1e2280">OCS is still considered the largest contributor to the aerosol loadings in
the middle stratosphere. Several studies have shown that the transport to
the stratosphere of tropospheric aerosol and aerosol precursors constitutes
an important source of stratospheric aerosol (KTH2016 and references herein)
although new in situ measurements indicate that the
cross-tropopause <inline-formula><mml:math id="M51" 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 negligible over Mexico and Central America
(Rollins et al., 2017). Observations of the Asian Tropopause Aerosol Layer
(ATAL; Vernier et al., 2011a) show that, particularly in the UTLS, aerosol
of tropospheric origin can significantly enhance the burden of aerosol in
the stratosphere. This tropospheric aerosol has a more complex composition
than traditionally assumed for stratospheric aerosol: Yu et al. (2015), for
instance, showed that carbonaceous aerosol makes up to 50 % of the aerosol
loadings within the ATAL. The rate of stratospheric–tropospheric exchange (STE)
is influenced by the seasonality of the circulation and the frequency
and strength of convective events in large-scale phenomena such as the Asian
and North American monsoon or in small-scale phenomena such as strong
storms. Model simulations by Hommel et al. (2015) also revealed significant
QBO signatures in aerosol mixing ratio and size in the tropical middle
stratosphere (Fig. 3). Hence, the model-specific implementation of the QBO
(nudged or internally generated) could impact its effects on the
stratospheric transport and, subsequently, on the stratospheric aerosol layer.</p>
      <p id="d1e2294">In this experiment, we aim to assess the inter-model variability of the
background stratospheric aerosol layer and of the sulfur mass flux from
the troposphere to the stratosphere and vice versa. We will exclude changes
in emissions and focus on the dependence of stratospheric aerosol
concentrations and properties on stratospheric transport and STE. The goal of the BG experiment aims
to understand how the model-specific transport characteristics (e.g. isolation
of the tropical pipe, representation of the QBO and the strength of
convective systems) and aerosol parameterizations (e.g. aerosol microphysics
and scavenging efficiency) affect the representation of the background aerosol.</p>
</sec>
<?pagebreak page2589?><sec id="Ch1.S3.SS1.SSS3">
  <title>Experiment set-up and specifications</title>
      <p id="d1e2303">The BG experiment prescribes one mandatory (BG_QBO) and two
recommended (BG_NQBO and BG_NAT) simulations
(see Table 3). BG_QBO is a time-slice simulation with
conditions characteristic of the year 2000<fn id="Ch1.Footn1"><p id="d1e2306">To ensure comparability
to the AeroCom simulations (<uri>http://aerocom.met.no/Welcome.html</uri>, last access: 26 June 2018).</p></fn>,
with the goal of understanding sources, sinks, composition, and
microphysical characteristics of stratospheric background aerosol under
volcanically quiescent conditions. The time-slice simulation should be at
least 20 years long, after a spin-up period of at least 10 years to
equilibrate stratospherically relevant quantities such as OCS concentrations and
the age of air. The period seems to be sufficient to study differences in the
aerosol properties but needs to be extended if dynamical changes, e.g. in NH
winter variability, are to be analysed. Modelling groups should run this
simulation with varying QBO, either internally generated or nudged to the
1981–2000 period.</p>
      <p id="d1e2313">If resources allow, each model should perform the sensitivity experiments
BG_NQBO and BG_NAT. The specifics of these two
experiments are the same as for BG_QBO, but BG_NQBO
should be performed without varying QBO<fn id="Ch1.Footn2"><p id="d1e2316">Models with an
internally generated QBO might nudge the tropical stratospheric winds.</p></fn> and
BG_NAT without anthropogenic emissions of aerosol and aerosol
precursors, as indicated in Table S1. The goals of these sensitivity
experiments are to understand the effect of the QBO on the background
aerosol characteristics and the contribution of anthropogenic sources to the
background aerosol loading in the stratosphere.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Transient Aerosol Record (TAR)</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Summary of experiment</title>
      <p id="d1e2332">The aim of the TAR experiment is to investigate
the relative contributions of volcanic and anthropogenic sources to the
temporal evolution of the stratospheric aerosol layer between 1998 and 2012.
Observations show that there is a transient increase in stratospheric
aerosol loading, in particular after the year 2003, with small-to
moderate-magnitude volcanic eruptions contributing significantly to this
increase (e.g. Solomon et al., 2011; Vernier et al., 2011b; Neely III et al.,
2013; Ridley et al., 2014; Santer et al., 2015; Brühl et al., 2015). TAR
model simulations will be performed using specified dynamics, prescribed sea
surface temperature and time-varying <inline-formula><mml:math id="M52" 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. The simulations are
suitable for any general circulation or chemistry transport models that
simulate the stratospheric aerosol interactively and have the capability to
nudge meteorological parameters to reanalysis data. The TAR protocol covers
the period from January 1998 to December 2012, when only volcanic eruptions
have affected the UTLS aerosol layer with <inline-formula><mml:math id="M53" 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 about an order of magnitude smaller than
Pinatubo. Time-varying surface emission data sets contain anthropogenic and
natural sources of sulfur aerosol and their precursor species. The volcanic
<inline-formula><mml:math id="M54" 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 inventories contain information of all known eruptions
that emitted <inline-formula><mml:math id="M55" 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> into the UTLS during this period. It comprises the
geolocation of each eruption, the amount of <inline-formula><mml:math id="M56" 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, and the height
of the emissions. <inline-formula><mml:math id="M57" 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 from continuously degassing volcanoes
are also included.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Experiment set-up and specifications</title>
      <p id="d1e2408">Participating models are encouraged to perform up to seven experiments,
based on five different volcanic <inline-formula><mml:math id="M58" 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 databases (hereafter
referred to as VolcDB). Four experiments are mandatory; three others are
optional. The volcanic experiments are compared to a reference simulation
(TAR_base) that does not use any of the volcanic emission
databases but emissions from continuously degassing volcanoes. The aim of
the reference simulation is to simulate the non-volcanically perturbed state
of the stratospheric aerosol layer. In contrast to the experiment protocol
BG (Sect. 3.1), here time-varying surface boundary conditions (SST/SIC)
are applied, whereas BG intercompares model simulations under climatological
mean conditions and uses constant 2000 conditions.</p>
      <?pagebreak page2590?><p id="d1e2422"><?xmltex \hack{\newpage}?>An overview of the volcanic emission inventories is given in Table 4 and in
Fig. 4. VolcDB1/2/3 are new compilations (Bingen et al., 2017; Neely and
Schmidt, 2016; Carn et al., 2016), whereas a fourth inventory (VolcDB4;
Diehl et al., 2012), provided earlier, for the AeroCom community modelling
initiative, is optional. The databases use <inline-formula><mml:math id="M59" 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
different sources and apply different techniques for the estimation of
injection heights and the amount of emitted <inline-formula><mml:math id="M60" 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 four inventories are
provided in the form of tabulated point sources, with each modelling group
to translate emitted <inline-formula><mml:math id="M61" 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> mass for each eruption into model levels
spanning the upper and lower emission altitudes. To test the effect of the
implementation strategy (point source vs. cloud), an additional non-mandatory
experiment has been set up: TAR_db1_3D with
VolcDB1_3D as corresponding data set which provides a series
of discrete 3-D gridded <inline-formula><mml:math id="M62" 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> injections at specified times. In both
versions of VolcDB1, the integral <inline-formula><mml:math id="M63" 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> mass of each injection is consistent.</p>
      <p id="d1e2481">We recommend performing one additional non-mandatory experiment
TAR_sub in order to quantify and isolate the effects of eight volcanic eruptions that either had a statistically significant effect on,
for instance, tropospheric temperatures (Santer et al., 2014, 2015) or
emitted significant amounts of <inline-formula><mml:math id="M64" 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> over the 1998 to 2012 time period.
This experiment uses a subset of volcanic emissions (VolcDBSUB) that were
derived based on the average mass of <inline-formula><mml:math id="M65" 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 using VolcDB1,
VolcDB2, and VolcDB3 for the following eruptions: 28 January 2005 Manam
(4.0<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, Papua New Guinea), 7 October 2006 Tavurvur (4.1<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, Papua New Guinea),
21 June 2009 Sarychev, (48.5<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, Kyrill, UDSSR) 8 November 2010
Merapi (7.3<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, Java, Indonesia), and 21 June 2011 Nabro
(13.2<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, Eritrea). In addition the eruptions of Soufrière Hills
(16.4<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, Montserrat) on 20 May 2006, Okmok (53.3<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
Alaska) on 12 July 2008, and Kasatochi (52.1<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, Alaska) on
7 August 2008 are considered (Table S6) although these are not discernible in
climate proxies (Kravitz et al., 2010; Santer et al., 2014, 2015).</p>
      <p id="d1e2579">To summarize the number of experiments to be conducted within TAR, four are
mandatory (TAR_base with no volcanic emission, Tar_db1/2/3), one additional
one is recommended (TAR_sub), and two others are optional (TAR_db4 and TAR_db1_3D;
see Table 5 for an overview).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e2585">Annual total volcanic sulfur dioxide (<inline-formula><mml:math id="M74" 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 from
three different emission data sets between 2003 and 2008 to be used in the Tier1 MITAR experiments. VolcDB1 (Bingen et al., 2017) considers only stratospheric
<inline-formula><mml:math id="M75" 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; VolcDB2 (Neely and Schmidt, 2016) and VolcDB3 (Carn
et al., 2016) consider both tropospheric and stratospheric <inline-formula><mml:math id="M76" 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.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f04.png"/>

          </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T4" specific-use="star" orientation="landscape"><caption><p id="d1e2630">Overview of volcanic emission data sets for the different TAR experiments.
Sensor acronyms: MIPAS: Michelson Interferometer for Passive Atmospheric
Sounding; GOMOS: Global Ozone Monitoring by Occultation of Stars; TOMS: Total
Ozone Mapping Spectrometer; OMI: Ozone Monitoring Instrument; OMPS: Ozone Mapping
and Profiler Suite; IASI: Infrared Atmospheric Sounding Interferometer; GOME:
Global Ozone Monitoring Experiment; AIRS: Atmospheric Infrared Sounder; MLS:
Microwave Limb Sounder; HIRS: High-resolution Infrared Radiation Sounder;
References to the observational data and emission sources included are given
in the reference paper and for VolcDB1(_3D) also in Table S2.1. VolcDB1_3D
is a three-dimensional database, containing the spatial distributions of the
injected <inline-formula><mml:math id="M77" 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> as initially observed by the satellite instruments. In
both versions of VolcDB1, the integral <inline-formula><mml:math id="M78" 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> mass of each injection is consistent.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Volcanic</oasis:entry>
         <oasis:entry colname="col2">VolcDB1</oasis:entry>
         <oasis:entry colname="col3">VolcDB2</oasis:entry>
         <oasis:entry colname="col4">VolcDB3</oasis:entry>
         <oasis:entry colname="col5">VolcDB4</oasis:entry>
         <oasis:entry colname="col6">VolcDBSUB</oasis:entry>
         <oasis:entry colname="col7">VolcDB1_3D</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">database</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Covering period</oasis:entry>
         <oasis:entry colname="col2">Dec 1997–</oasis:entry>
         <oasis:entry colname="col3">Jan 1990–</oasis:entry>
         <oasis:entry colname="col4">1978–2014</oasis:entry>
         <oasis:entry colname="col5">1979–2010</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">Dec 1997–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Apr 2012</oasis:entry>
         <oasis:entry colname="col3">Dec 2014</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">Apr 2012</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Observational</oasis:entry>
         <oasis:entry colname="col2">MIPAS, GOMOS,</oasis:entry>
         <oasis:entry colname="col3">OMI, OMPS,</oasis:entry>
         <oasis:entry colname="col4">TOMS, HIRS/2,</oasis:entry>
         <oasis:entry colname="col5">TOMS, OMI</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">MIPAS, GOMOS,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">data sets</oasis:entry>
         <oasis:entry colname="col2">SAGEII, TOMS,</oasis:entry>
         <oasis:entry colname="col3">IASI, TOMS,</oasis:entry>
         <oasis:entry colname="col4">AIRS, OMI,</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">SAGEII, TOMS,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OMI</oasis:entry>
         <oasis:entry colname="col3">GOME/2, AIRS,</oasis:entry>
         <oasis:entry colname="col4">MLS, IASI, and</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">OMI</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">MLS, MIPAS</oasis:entry>
         <oasis:entry colname="col4">OMPS</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reference</oasis:entry>
         <oasis:entry colname="col2">Brühl et al. (2018),</oasis:entry>
         <oasis:entry colname="col3">Mills et al. (2016),</oasis:entry>
         <oasis:entry colname="col4">Carn et al. (2016)<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Diehl et al. (2012),</oasis:entry>
         <oasis:entry colname="col6">Subset of eight</oasis:entry>
         <oasis:entry colname="col7">3-D netCDF</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Bingen et al. (2017)<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Neely and Schmidt (2016)<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">AeroCom-II</oasis:entry>
         <oasis:entry colname="col6">volcanoes;</oasis:entry>
         <oasis:entry colname="col7">Brühl (2018),</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">HCA0 v1/v2<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">contains <inline-formula><mml:math id="M89" 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></oasis:entry>
         <oasis:entry colname="col7">Bingen et al. (2017)<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">emissions and</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">plume altitudes</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">averaged over</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">the three mandatory</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">databases;</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">details are</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">given in the</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">Appendix (Table S6)<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2655"><inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <uri>https://cera-www.dkrz.de/WDCC/ui/cerasearch/entry?acronym=SSIRC_1</uri> (last access: 26 June 2018).
<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <uri>http://catalogue.ceda.ac.uk/uuid/bfbd5ec825fa422f9a858b14ae7b2a0d</uri> (last access: 26 June 2018).
<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> <uri>https://measures.gesdisc.eosdis.nasa.gov/data/SO2/MSVOLSO2L4.2/</uri> (last access: 26 June 2018).
<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> <uri>http://aerocom.met.no/download/emissions/HTAP</uri> (last access: 26 June 2018).
<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> <uri>http://isamip.eu/fileadmin/user_upload/isamip/volc_sub_v185.dat</uri> (last access: 26 June 2018).
<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> <uri>https://cera-www.dkrz.de/WDCC/ui/cerasearch/entry?acronym=SSIRC_1</uri> (last access: 26 June 2018).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSSx1" specific-use="unnumbered">
  <?xmltex \opttitle{Volcanic {$\protect\chem{SO_{{2}}}$} emission databases}?><title>Volcanic <inline-formula><mml:math id="M92" 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 databases</title>
      <p id="d1e3233">VolcDB1 (Bingen et al., 2017; Brühl, 2018) are updates from
Brühl et al. (2015) using satellite data of MIPAS and OMI. For TAR,
VolcDB1 has been extended based on data from Global Ozone Monitoring by
Occultation of Stars (GOMOS), SAGE II, Total Ozone Mapping Spectrometer (TOMS),
and the Smithsonian database. The VolcDB1_3D data
set, for the optional experiment TAR_db1_3D,
contains volume mixing ratio distributions of the injected <inline-formula><mml:math id="M93" 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
a T42 Gaussian grid with 90 levels. The integral <inline-formula><mml:math id="M94" 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> mass for each
injection is the same. VolcDB2 (Mills et al., 2016; Neely and Schmidt, 2016)
contains volcanic <inline-formula><mml:math id="M95" 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 and plume altitudes for eruptions that have been detected by satellite instruments including TOMS,
OMI, OMPS, the Infrared Atmospheric Sounding Interferometer (IASI), the Global Ozone
Monitoring Experiment (GOME/2), the Atmospheric Infrared Sounder (AIRS), the Microwave Limb Sounder (MLS), and the MIPAS instrument. The database is
compiled based on published estimates of the eruption source parameters and
reports from the Smithsonian Global Volcanism Program
(<uri>http://volcano.si.edu/</uri>, last access: 26 June 2018), NASA's Global Sulfur Dioxide Monitoring website
(<uri>http://so2.gsfc.nasa.gov/</uri>, last access: 26 June 2018) as well as the Support to Aviation Control
Service (<uri>http://sacs.aeronomie.be/</uri>, last access: 26 June 2018). The tabulated point source database
also includes volcanic eruptions that emitted <inline-formula><mml:math id="M96" 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> into the troposphere
only, as well as direct stratospheric emissions, and has been used and
compared to observations in Mills et al. (2016) and Solomon et al. (2016).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p id="d1e3293">Overview of TAR experiments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Exp-name</oasis:entry>
         <oasis:entry colname="col2">Volcanic</oasis:entry>
         <oasis:entry colname="col3">Specific description</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
         <oasis:entry colname="col5">Years</oasis:entry>
         <oasis:entry colname="col6">Tier</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">database</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">per</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">name</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">member</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">TAR_base</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">No sporadically erupting</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">volcanic emission</oasis:entry>
         <oasis:entry colname="col4">monthly varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_db1</oasis:entry>
         <oasis:entry colname="col2">VolcDB1</oasis:entry>
         <oasis:entry colname="col3">Volcanic emission data set</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(Brühl et al., 2015 and updates)</oasis:entry>
         <oasis:entry colname="col4">monthly varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_db2</oasis:entry>
         <oasis:entry colname="col2">VolcDB2</oasis:entry>
         <oasis:entry colname="col3">Volcanic emission data set</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(Mills et al., 2016)</oasis:entry>
         <oasis:entry colname="col4">monthly varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_db3</oasis:entry>
         <oasis:entry colname="col2">VolcDB3</oasis:entry>
         <oasis:entry colname="col3">Volcanic emission data set</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(Carn et al., 2016)</oasis:entry>
         <oasis:entry colname="col4">time varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_db4</oasis:entry>
         <oasis:entry colname="col2">VolcDB4</oasis:entry>
         <oasis:entry colname="col3">Volcanic emission data set</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2010</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(Diehl et al., 2012) and updates</oasis:entry>
         <oasis:entry colname="col4">time varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_sub</oasis:entry>
         <oasis:entry colname="col2">VolcDBSUB</oasis:entry>
         <oasis:entry colname="col3">Subset of strongest eight volcanoes;</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">averaged <inline-formula><mml:math id="M97" 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 and</oasis:entry>
         <oasis:entry colname="col4">monthly varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">averaged injection heights from</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">VolcDB1/2/3</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TAR_db1_3D</oasis:entry>
         <oasis:entry colname="col2">VolcDB1_3D</oasis:entry>
         <oasis:entry colname="col3">NetCDF version of volcanic</oasis:entry>
         <oasis:entry colname="col4">Transient 1998–2012</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">emission data set VolcDB1</oasis:entry>
         <oasis:entry colname="col4">monthly varying</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(Brühl et al., 2015, and updates)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3724">Example results from interactive stratospheric aerosol simulations with
the UM-UKCA model (Dhomse et al., 2014) of five different <inline-formula><mml:math id="M98" 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> injection realizations
of the 1991 Pinatubo eruption (see Table 8),
The model tropical mean extinction in the mid-visible (550 nm) and near-infrared
(1020 nm) is compared to that from SAGE-II measurements. Only two of the five injection
realizations inject below 20 km and the impact on the timing of the peak and
general evolution of the aerosol optical properties is apparent. In this model
the growth to larger particle sizes and subsequent sedimentation to lower
altitudes is able to explain certain signatures seen in the satellite data (see
also Mann et al., 2015).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f05.png"/>

          </fig>

      <p id="d1e3745">VolcDB3 uses the most recent compilation of the volcanic degassing database
of Carn et al. (2016). Observations from the satellite instruments TOMS, the
High-resolution Infrared Sounder (HIRS/2), AIRS, OMI, MLS, IASI, and OMPS are
considered, measuring in the UV, IR, and microwave spectral bands. Similar to
VolcDB1/2, VolcDB3 also includes tropospheric eruptions.</p>
      <?pagebreak page2593?><p id="d1e3748">Historically VolcDB4 is an older data set, which relies on information from
TOMS, OMI, the Global Volcanism Program (GVP), and other observations from
the literature, covering the time period from 1979 to 2010. In contrast to
the other inventories, VolcDB4 has previously been applied by a range of
models within the AeroCom community (<uri>http://aerocom.met.no/emissions.html</uri>, last access: 26 June 2018;
Diehl et al., 2012; Dentener et al., 2006). Hence, it adds valuable
information to the TAR experiments because it allows an estimation of how the
advances in observational methods impact modelling results. It should be
noted that VolcDB4 already contains the inventory of Andres and Kasgnoc (1998)
for S emissions from continuously erupting volcanoes and should not
be allocated twice when running this experiment.</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx2" specific-use="unnumbered">
  <title>Boundary conditions, chemistry, and forcings</title>
      <p id="d1e3760">To reduce uncertainties associated with model differences in the
reproduction of synoptic and large-scale transport processes, models are
strongly encouraged to perform TAR experiments with specified dynamics,
where meteorological parameters are nudged to a reanalysis such as the ECMWF
ERA-Interim (Dee et al., 2011). This allows models to reasonably reproduce
the QBO and planetary wave structure in the stratosphere and to replicate as
closely as possible the state of the BDC in the simulation period. Nudging
also allows comparing directly to available observations of stratospheric
aerosol properties (Table 2), such as the extinction profiles and aerosol optical depth (AOD), and
should enable the models to simulate the ATAL (Vernier et al., 2011a; Thomason and Vernier, 2013), which, so far, has been
studied only by very few global models in great detail (e.g. Neely III
et al., 2014; Yu et al., 2015).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Historical Eruption {$\protect\chem{SO_{{2}}}$} Emission Assessment~(HErSEA)}?><title>Historical Eruption <inline-formula><mml:math id="M99" 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 Assessment (HErSEA)</title>
<sec id="Ch1.S3.SS3.SSS1">
  <title>Summary of experiment</title>
      <p id="d1e3787">This HErSEA experiment
will involve each participating model running a limited ensemble of
simulations for each of the three largest volcanic perturbations to the
stratosphere in the last 100 years: 1963 Mt Agung, 1982 El Chichón, and
1991 Mt Pinatubo.</p>
      <p id="d1e3790">The main aim is to use a wide range of stratospheric aerosol observations to
constrain uncertainties in the <inline-formula><mml:math id="M100" 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 for each eruption (amount,
injection height). Several different aerosol metrics will be intercompared
to assess how effectively the emitted <inline-formula><mml:math id="M101" 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> translates into perturbations
to stratospheric aerosol properties and simulated radiative forcings across
interactive stratospheric aerosol CCMs with a range of different
complexities. Whereas the TAR simulations (see Sect. 3.2) use specified
dynamics and are suitable for chemistry transport models, for this
experiment, simulations must be free-running with radiative coupling to the
volcanically enhanced stratospheric aerosol, thereby ensuring the
composition–radiation–dynamics interactions associated with the injection
are resolved. We are aware that this specification inherently excludes
chemistry transport models, which must impose atmospheric dynamics. However,
since the aim is to apply stratospheric aerosol observations in concert with
the models to re-evaluate current best estimates of the <inline-formula><mml:math id="M102" 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> input and
in light of the first-order impact the stratospheric heating has on
hemispheric dispersion from these major eruptions (e.g. R. E. Young et al.,
1994), we assert that this apparent exclusivity is entirely justified in this case.</p>
      <p id="d1e3826">As well as analysing and evaluating the individual model skill and
identifying model consensus and disagreement for these three specific
eruptions, we also seek to learn more about major eruptions which occurred
before the era of satellite and in situ stratospheric measurements. Our
understanding of the effects from these earlier eruptions relies on deriving
volcanic forcings from proxies such as sulfate deposition to ice sheets (Gao
et al., 2007; Sigl et al., 2015; Toohey et al., 2013), from photometric
measurements from astronomical observatories (Stothers,
1996, 2001), or from documentary evidence (Stothers, 2002; Stothers and Rampino, 1983;
Toohey et al., 2016a). Although HErSEA has no specific experiment to
understand the relationship between the ice core sulfate deposition and the
stratospheric aerosol layer enhancements that drive the surface cooling,
there is the potential for a systematic inter-model study (e.g. similar to
Marshall et al., 2018) to identify how uncertain historic volcanic forcings
derived from ice core sulfate deposition may be.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <title>Motivation</title>
      <p id="d1e3835">In the days following the June 1991 Pinatubo eruption, satellite <inline-formula><mml:math id="M103" 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 show (e.g. Guo et al., 2004a) that the peak gas phase sulfur
loading was 7 to 11.5 Tg S (or 14–23 Tg <inline-formula><mml:math id="M104" 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 chemical
conversion to sulfuric aerosol that occurred in the tropical reservoir over
the following weeks and the subsequent transport to mid- and
high latitudes caused a major enhancement to the stratospheric aerosol
layer. The peak particle sulfur loading, through this global dispersion
phase, reached only around half that in the initial <inline-formula><mml:math id="M105" 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;
the maximum particle sulfur loading was measured as 3.7 to 6.7 Tg S (Lambert
et al., 1993; Baran and Foot, 1994), based on an aqueous sulfuric acid
composition range of 59 to 77 % by weight (Grainger et al., 1993).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p id="d1e3874">Overview of HErSEA experiments.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.92}[.92]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Exp-name</oasis:entry>
         <oasis:entry colname="col2">Specific description/volcanic emission</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">Ensemble</oasis:entry>
         <oasis:entry colname="col5">Years per</oasis:entry>
         <oasis:entry colname="col6">Tier</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">size</oasis:entry>
         <oasis:entry colname="col5">member</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_Em_Ism</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3">Transient 1991–</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M106" 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 <inline-formula><mml:math id="M107" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">1995</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_Eh_Ism</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3">incl. GHGs &amp;</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M108" 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 <inline-formula><mml:math id="M109" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> high, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">ODSs</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_El_Ism</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3">(monthly varying</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M110" 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 <inline-formula><mml:math id="M111" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> low, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">SST &amp;</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_Em_Isl</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3">sea-ice from</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M112" 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 <inline-formula><mml:math id="M113" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ low-alt.</oasis:entry>
         <oasis:entry colname="col3">HadISST</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_Em_Idp</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3">as for CCMI)</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M114" 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 <inline-formula><mml:math id="M115" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject over deep altitude-range</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Pin_Cntrol</oasis:entry>
         <oasis:entry colname="col2">Pinatubo episode,</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">No Pinatubo <inline-formula><mml:math id="M116" 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</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_Em_Ism</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode,</oasis:entry>
         <oasis:entry colname="col3">Transient 1982–</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M117" 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 <inline-formula><mml:math id="M118" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">1986</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_Eh_Ism</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode,</oasis:entry>
         <oasis:entry colname="col3">incl. GHGs &amp;</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M119" 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 <inline-formula><mml:math id="M120" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> high, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_El_Ism</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode,</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M121" 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> ODSs (monthly</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Emission <inline-formula><mml:math id="M122" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> low, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">varying SST and</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_Em_Isl</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode,</oasis:entry>
         <oasis:entry colname="col3">sea-ice from</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M123" 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 <inline-formula><mml:math id="M124" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow@low-altitude</oasis:entry>
         <oasis:entry colname="col3">HadISST</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_Em_Idp</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode,</oasis:entry>
         <oasis:entry colname="col3">as for CCMI)</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M125" 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 <inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject over deep altitude-range</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_ElC_Cntrol</oasis:entry>
         <oasis:entry colname="col2">El Chichón episode</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">no El Chichón <inline-formula><mml:math id="M127" 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</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_Em_Ism</oasis:entry>
         <oasis:entry colname="col2">Agung episode</oasis:entry>
         <oasis:entry colname="col3">Transient 1963–</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M128" 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 <inline-formula><mml:math id="M129" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">1967</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_Eh_Ism</oasis:entry>
         <oasis:entry colname="col2">Agung episode,</oasis:entry>
         <oasis:entry colname="col3">incl. GHGs &amp;</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M130" 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 <inline-formula><mml:math id="M131" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> high, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">ODSs</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_El_Ism</oasis:entry>
         <oasis:entry colname="col2">Agung episode,</oasis:entry>
         <oasis:entry colname="col3">(monthly varying</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M132" 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 <inline-formula><mml:math id="M133" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> low, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">SST and sea-ice</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_Em_Isl</oasis:entry>
         <oasis:entry colname="col2">Agung episode,</oasis:entry>
         <oasis:entry colname="col3">from HadISST</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M134" 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 <inline-formula><mml:math id="M135" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ low-alt.</oasis:entry>
         <oasis:entry colname="col3">as for CCMI)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_Em_Idp</oasis:entry>
         <oasis:entry colname="col2">Agung episode,</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M136" 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 <inline-formula><mml:math id="M137" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject over deep altitude-range</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HErSEA_Agg_Cntrol</oasis:entry>
         <oasis:entry colname="col2">Agung episode</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">no Agung <inline-formula><mml:math id="M138" 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</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e4944">Whereas some model studies with aerosol microphysical processes find
consistency with observations for <inline-formula><mml:math id="M139" 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> injection values of 8.5 Tg S
(e.g., Niemeier et al., 2009; Toohey et al., 2011; Brühl et al., 2015),
several recent microphysical model studies (Dhomse et al., 2014; Sheng et
al., 2015a; Mills et al., 2016) find best agreement for an injected sulfur
amount at, or even below, the lower end of the range of the satellite
<inline-formula><mml:math id="M140" 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; see also Fig. 5. Model predictions are known to be sensitive to
differences in assumed injection height (e.g. Sheng et al., 2015b; Jones et
al., 2016), and whether models resolve radiative heating and “self-lofting”
effects also affects subsequent transport pathways (e.g. R. E. Young et
al., 1994; Timmreck et al., 1999b; Aquila et al., 2012). Another potential
mechanism that could explain part of the apparent model–observation
discrepancy is that a substantial proportion of the sulfur may have been
removed from the plume in the first months after the<?pagebreak page2594?> eruption due to
accommodation onto co-emitted ash/ice (Guo et al., 2004b) and subsequent sedimentation.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><caption><p id="d1e4973">List of stratospheric aerosol observation data sets from the three large
eruptions of the 21st century (Agung, El Chichón, and Mt Pinatubo). For
NDACC archive, see <uri>http://www.ndsc.ncep.noaa.gov/data/</uri> (last access: 26 June 2018).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.92}[.92]?><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eruption</oasis:entry>
         <oasis:entry colname="col2">Measurement/platform</oasis:entry>
         <oasis:entry colname="col3">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Pinatubo</oasis:entry>
         <oasis:entry colname="col2">Extinction/AOD <inline-formula><mml:math id="M141" display="inline"><mml:mo>[</mml:mo></mml:math></inline-formula>multi-l<inline-formula><mml:math id="M142" display="inline"><mml:mo>]</mml:mo></mml:math></inline-formula>: SAGE-II, AVHRR,</oasis:entry>
         <oasis:entry colname="col3">Hamill and Brogniez (SPARC, 2006, and references</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">HALOE, CLAES</oasis:entry>
         <oasis:entry colname="col3">therein)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Balloon-borne size-resolved concentration profiles</oasis:entry>
         <oasis:entry colname="col3">Deshler (1994, Kiruna, EASOE), Deshler et al.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(CPC, OPC)</oasis:entry>
         <oasis:entry colname="col3">(2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Impactors on ER2 (AASE2), FCAS, and FSSP on</oasis:entry>
         <oasis:entry colname="col3">Pueschel et al. (1994), Wilson et al. (1993), Brock et</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ER2 (AASE2)</oasis:entry>
         <oasis:entry colname="col3">al. (1993)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Ground-based lidar; airborne lidar</oasis:entry>
         <oasis:entry colname="col3">NDACC archive; S. A. Young et al. (1994), Browell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Ship-borne lidar measurements</oasis:entry>
         <oasis:entry colname="col3">et al. (1993)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Avdyushin et al. (1993); Nardi et al. (1993), Stevens et</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">al. (1994)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">El Chichón</oasis:entry>
         <oasis:entry colname="col2">Satellite extinction/AOD 1000 nm (SAM-II)</oasis:entry>
         <oasis:entry colname="col3">Hamill and Brogniez (SPARC, 2006 &amp; references</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Balloon-borne particle concentration profiles</oasis:entry>
         <oasis:entry colname="col3">therein)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Ground-based lidar</oasis:entry>
         <oasis:entry colname="col3">Hofmann and Rosen (1983, 1987).</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">NDACC archive</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Agung</oasis:entry>
         <oasis:entry colname="col2">Surface radiation measurements</oasis:entry>
         <oasis:entry colname="col3">Dyer and Hicks (1965), Pueschel et al. (1972), Moreno</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(global dataset gathered in Dyer and Hicks, 1968)</oasis:entry>
         <oasis:entry colname="col3">and Stock (1964), Flowers and Viebrock (1965)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Balloon-borne measurements</oasis:entry>
         <oasis:entry colname="col3">Rosen (1964, 1966, 1968), Pittock (1966)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Ground-based lidar, searchlight, and twilight</oasis:entry>
         <oasis:entry colname="col3">Clemesha et al. (1966), Grams and Fiocco (1967), Kent et</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">measurements</oasis:entry>
         <oasis:entry colname="col3">al. (1967), Elterman et al. (1969), Volz (1964, 1965, 1970)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aircraft measurements</oasis:entry>
         <oasis:entry colname="col3">Mossop (1963, 1964), Friend (1966)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e5245">This ISA-MIP experiment will explore these issues further, with the
participating models carrying out co-ordinated experiments of the three most
recent major eruptions, with specified common <inline-formula><mml:math id="M143" 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> amounts and injection
heights (Table 6). This design ensures the analysis can focus on key
inter-model differences such as stratospheric circulation/dynamics, the
impacts from radiative dynamical interactions, and the effects of aerosol
microphysical schemes. Analysing how the vertical profile of the enhanced
stratospheric aerosol layer evolves during global dispersion and decay will
provide a key indicator for why the models differ, and what the key
driving mechanisms are. Furthermore, the actual response of the BDC and mean age
of air to Pinatubo is poorly constrained by existing reanalysis data
(Garfinkel et al., 2017). While some modelling studies reported a decreasing
mean age of air following volcanic eruptions throughout the stratosphere
(Garcia et al., 2011; Garfinkel et al., 2017), others show an increase in
mean age (Diallo et al., 2017). Moreover, Muthers et al. (2016) found a decreasing mean age of air in the middle and upper stratosphere
and an increasing mean age below, while Pitari et al. (2016a) found a decreasing mean
age at higher levels of 30 hPa in the tropics and 10 hPa in the middle
latitudes after the Pinatubo eruption. The HErSEA experiment in combination
with a passive volcanic tracer might therefore help to better constrain the
response of the BDC to volcanic eruptions using observations and help to
clarify the uncertainties in the age-of-air changes after the Pinatubo
eruption. For all three major eruptions, we have identified key observational
data sets (Table 7) that will provide benchmark tests to evaluate the
vertical profile, covering a range of different aerosol metrics.</p>
</sec>
<?pagebreak page2595?><sec id="Ch1.S3.SS3.SSS3">
  <title>Experiment set-up and specifications</title>
      <p id="d1e5265">Each modelling group will run a mini-ensemble of transient AMIP-type runs
for the three eruptions with upper and lower bound <inline-formula><mml:math id="M144" 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 and
three different injection height settings: two shallow (e.g. 19–21 and 23–25 km)
and one deep (e.g. 19–25 km) (see Table 7). The seasonal cycle of the
BDC affects the hemispheric dispersion of the aerosol plume (e.g. Toohey et
al., 2011), and the phase of the QBO is also known to be a key control for
tropical eruptions (e.g. Trepte and Hitchman, 1992). In order to quantify
the contribution of the tracer transport, it is recommended to additionally initialize and transport a passive tracer Volc (Table S3).
Note that since the AMIP-type simulations will be transient, prescribing time-varying
sea surface temperatures, the models will automatically match the surface
climate state (ENSO, NAO) through each post-eruption period. Where possible,
models should re-initialize (if they have internally generated QBO) or use
specified dynamics approaches (e.g. Telford et al., 2008) to ensure the
model dynamics are consistent with the QBO evolution through the
post-eruption period. General circulation models should use GHG
concentrations appropriate for the period, and models with interactive
stratospheric chemistry should ensure the loading of ODSs matches that for the time period.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T8" specific-use="star"><caption><p id="d1e5282">Settings to use for initializing the mini-ensemble of interactive
stratospheric aerosol simulations for each eruption in the HErSEA experiment.
For Pinatubo the upper range of <inline-formula><mml:math id="M145" 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 is based on TOMS/TOVS
<inline-formula><mml:math id="M146" 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 (Guo et al., 2004a). The <inline-formula><mml:math id="M147" 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
flux ranges and central values (in parentheses) are specifically for application
in interactive stratospheric aerosol (ISA) models rather than any new data
compilation. The lower range and the central values are defined according to some recent
Pinatubo studies (Dhomse et al., 2014; Mills et al., 2016; Sheng et al., 2015a)
which have identified a modest downward adjustment of initially observed
<inline-formula><mml:math id="M148" 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> amounts to agree with HIRS/ISAMS measurements of peak sulfate
aerosol loading (Baran and Foot, 1994). The adjustment assumes either uncertainties
in the satellite measurements or that loss pathways in the first few weeks after
these eruptions are either underpredicted (e.g. due to coarse spatial resolution)
or omitted completely (accommodation onto ash/ice) in the ISA models.
The El Chichón <inline-formula><mml:math id="M149" 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> central estimate is taken from Krueger et
al. (2008), and an emission range is based on assumed <inline-formula><mml:math id="M150" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>33 %, while for
Agung the <inline-formula><mml:math id="M151" 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 estimate is from Self and King (1996). For
Pinatubo, injection height ranges for the two shallow and one deep realization
are taken from Antuña et al. (2002). The El Chichón values are based
on the tropical lidar signal from Fig. 4.34 of Hamill and Brogniez (2006),
whereas for Agung we considered the measurements presented in Dyer and Hicks (1968)
including balloon soundings (Rosen, 1964) and ground-based lidar (Grams and Fiocco, 1967).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eruption</oasis:entry>
         <oasis:entry colname="col2">Location</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M152" 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> (Tg)</oasis:entry>
         <oasis:entry colname="col5">Shallow <inline-formula><mml:math id="M153" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2</oasis:entry>
         <oasis:entry colname="col6">Deep</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Mt Pinatubo</oasis:entry>
         <oasis:entry colname="col2">15<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 120<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col3">15 Jun 1991</oasis:entry>
         <oasis:entry colname="col4">10–20 (14)</oasis:entry>
         <oasis:entry colname="col5">18–20, 21–23 km</oasis:entry>
         <oasis:entry colname="col6">18–25 km</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">El Chichón</oasis:entry>
         <oasis:entry colname="col2">17<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 93<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">4 Apr 1982</oasis:entry>
         <oasis:entry colname="col4">5–10 (7)</oasis:entry>
         <oasis:entry colname="col5">22–24, 24–26 km</oasis:entry>
         <oasis:entry colname="col6">22–27 km</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mt Agung</oasis:entry>
         <oasis:entry colname="col2">8<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 115<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col3">17 Mar 1963</oasis:entry>
         <oasis:entry colname="col4">5–10 (7)</oasis:entry>
         <oasis:entry colname="col5">17–19, 20–22 km</oasis:entry>
         <oasis:entry colname="col6">17–23 km</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e5542">Table 8 shows the settings for the <inline-formula><mml:math id="M160" 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> injection for each
eruption. Note that experience of running interactive stratospheric
aerosol simulations shows that the vertical extent of the enhanced
stratospheric aerosol will be different from the altitude range in which the
<inline-formula><mml:math id="M161" 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 injected. So, these sensitivity simulations will allow us to assess
the behaviour of the individual models with identical settings for the
<inline-formula><mml:math id="M162" 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> injection.</p>
      <p id="d1e5578">For these major eruptions, where the perturbation is much larger than in
TAR, model diagnostics include AOD and extinction at multiple wavelengths
and heating rates (K day<inline-formula><mml:math id="M163" 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 lower stratosphere to identify the
stratospheric warming induced by simulated volcanic enhancement, including
exploring compensating effects from other constituents (e.g. Kinne et al.,
1992). To allow the global variation in size distribution to be
intercompared, models will also provide a 3-D monthly effective radius, which also includes cumulative number concentration at several size cuts for direct
comparison to balloon measurements. Examining the co-variation of the
particle size distribution with variations in extinction at different
wavelengths will be of particular interest in relation to approaches used to
interpret astronomical measurements of eruptions in the pre in situ era
(Stothers, 1996, 2001). A three-member ensemble will be submitted for each
different injection setting.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Pinatubo Emulation in Multiple models (PoEMs)</title>
<sec id="Ch1.S3.SS4.SSS1">
  <title>Summary of experiment</title>
      <p id="d1e5606">The PoEMS experiment will involve each interactive stratospheric aerosol
model running a perturbed parameter ensemble (PPE) of simulations through
the 1991–1995 Pinatubo-perturbed period. Variation-based sensitivity
analysis will derive a probability distribution function (PDF) for each
model's predicted Pinatubo forcing, following techniques<?pagebreak page2596?> applied
successfully to quantify and attribute sources of uncertainty in
tropospheric aerosol forcings (e.g. Carslaw et al., 2013). The approach will
teach us which aspects of the radiative forcing from major eruptions is most
uncertain and will enable us to identify how sensitive model predictions of
key features (e.g. timing and value of peak forcing and decay timescales)
are to uncertainties in several model parameters. Comparing the
time signatures of different underlying aerosol metrics (mid-visible AOD,
effective radius, particle number) between models, and crucially also
against observations, may also help to reduce the natural forcing
uncertainty, potentially thereby making the next generation of climate models more robust.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <title>Motivation</title>
      <p id="d1e5615">The sudden global cooling from major eruptions is a key signature in the
historical climate record and a natural global warming signature occurs
after peak cooling as volcanic aerosol is slowly removed from the
stratosphere. Quantitative information on the uncertainty range of volcanic
forcings is therefore urgently needed. The amount of data collected by
satellite-, ground-, and airborne instruments in the period following the
1991 eruption of Mount Pinatubo (see, e.g., Sect. 3.3.2, Table 7) provides
an opportunity to test model capabilities in simulating large perturbations
of stratospheric aerosol and their effect on the climate. Recent advances in
quantifying uncertainty in climate models (e.g. Rougier et al., 2009; Lee at al.,
2011) involve running ensembles of simulations to systematically explore
combinations of different external forcings to scope the range of possible
realizations. There are now a large number of general circulation models (GCMs)
with prognostic aerosol modules, which tend to assess the
stratospheric aerosol perturbation through the Pinatubo-perturbed period
(see Table 9). Although these different models achieve reasonable agreement
with the observations, this consistency of skill is achieved with
considerable diversity in the values assumed for the initial magnitude and
distribution of the <inline-formula><mml:math id="M164" 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> injection. The <inline-formula><mml:math id="M165" 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> injections prescribed
by different models range from 5 to 10 Tg S, and the upper edge of the
injection altitude varies among models from as low as 18 km to as high as
29 km, as shown in Table 9. Such simulations also differ in the choice of the
vertical distribution of <inline-formula><mml:math id="M166" 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> injection (e.g. uniform, Gaussian or
triangular distributions) and the horizontal injection area (one to several
grid boxes). The fact that different choices of injection parameters lead to
similar results in different models points to differences in the models'
internal treatment of aerosol evolution. Accurately capturing microphysical
processes such as coagulational, growth, and subsequent rates of
sedimentation has been shown to be important for volcanic forcings (English
et al., 2013), but some studies (e.g. Mann et al., 2015) identify that these
processes interplay also with aerosol–radiation interactions, the associated
dynamical effects changing the fate of the volcanic sulfur and its removal
into the troposphere. The PoEMS experiment will specifically assess this
issue by adjusting the rate of specific microphysical processes in each
model simultaneously with perturbations to <inline-formula><mml:math id="M167" 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 and injection
height, thereby assessing the footprint of their influence on subsequent
volcanic forcing in different complexity aerosol schemes and the relative
contribution to uncertainty from emissions and microphysics.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T9"><caption><p id="d1e5665">List of <inline-formula><mml:math id="M168" 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> injection settings used in different interactive
stratospheric aerosol model simulations of the 1991 Mount Pinatubo eruption.
<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Main peak at 23.5 km, secondary peak at 21 km.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M170" 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></oasis:entry>
         <oasis:entry colname="col2">Study</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M171" 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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">mass</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">height</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(Tg S)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(km)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">Dhomse et al. (2014)</oasis:entry>
         <oasis:entry colname="col3">19–27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">Mills et al. (2016)</oasis:entry>
         <oasis:entry colname="col3">18–20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">Sheng et al. (2015a, b)</oasis:entry>
         <oasis:entry colname="col3">17–30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.5</oasis:entry>
         <oasis:entry colname="col2">Timmreck et al. (1999a, b)</oasis:entry>
         <oasis:entry colname="col3">20–27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.5</oasis:entry>
         <oasis:entry colname="col2">Niemeier et al. (2009);</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Toohey et al. (2011)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.5</oasis:entry>
         <oasis:entry colname="col2">Brühl et al. (2015)</oasis:entry>
         <oasis:entry colname="col3">18–26<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Pitari and Mancini (2002)</oasis:entry>
         <oasis:entry colname="col3">18–25</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Oman et al. (2006)</oasis:entry>
         <oasis:entry colname="col3">19–29</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Aquila et al. (2012, 2013)</oasis:entry>
         <oasis:entry colname="col3">16–18, 17–27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">English et al. (2013)</oasis:entry>
         <oasis:entry colname="col3">15.1–28.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <title>Experiment set-up and specifications</title>
      <p id="d1e5902">For each model, an ensemble of simulations will be performed varying
<inline-formula><mml:math id="M173" 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> injection parameters and a selection of internal model parameters
within a realistic uncertainty distribution. A maximin Latin hypercube
sampling strategy will<?pagebreak page2597?> be used to define parameter values to be set in each
PPE member in order to obtain good coverage of the parameter space. The
maximin Latin hypercube is designed such that the range of every single
parameter is well sampled and the sampling points are well spread through
the multi-dimensional uncertainty space – this is achieved by splitting the
range of every parameter into <inline-formula><mml:math id="M174" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> intervals and ensuring that precisely one
point is in each interval in all dimensions, where <inline-formula><mml:math id="M175" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the total number of
model simulations, and the minimum distance between any pair of points in
all dimensions is maximized. Figure 6 shows the projection onto two dimensions
of a Latin hypercube built in eight dimensions with 50 model simulations. The
size of the Latin hypercube needed will depend on the number of model
parameters to be perturbed; the number of simulations to be performed will
be equal to 10 times the number of parameters – 7 per parameter to
build the emulator and 3 per parameter to validate the emulator. All
parameters are perturbed simultaneously in the Latin hypercube.</p>
      <p id="d1e5930">In order to be inclusive of modelling groups with less computing time
available and of different types of aerosol schemes, we define three options of
experimental design with different numbers of perturbed parameters and thus
simulation ensemble members. The three options involve varying all eight (standard
set), five (reduced set), or three (minimum set) of the list of uncertain
parameters, resulting in ensembles of 80 (standard), 50 (reduced), or
30 (minimum) PPE members. The parameters to be varied are shown in Table 10
and include variables related to the volcanic injection, such as its
magnitude, height, latitudinal extent, and composition, and to the life
cycle of the volcanic sulfate, such as the sedimentation rate, its
microphysical evolution, and the <inline-formula><mml:math id="M176" 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 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> conversion rate.</p>
      <p id="d1e5960"><?xmltex \hack{\newpage}?>Prior to performing the full PPE, modelling groups are encouraged to run
“one-at-a-time” (OAT) test runs with each of the process parameters
increased/decreased to its maximum/minimum value. Submission of these OAT
test runs is encouraged (following the naming convention in Table 11)
because as well as being an important check that the model parameter scaling
is being implemented as intended, the results will also enable
intercomparison of single-parameter effects between participating models
ahead of the full ensemble. When imposing the parameter scalings, the models
must only enact that change in grid boxes with volcanically enhanced air
masses. This can be determined either via total sulfur volume mixing ratio
threshold suitable for the particular model or via the “passive tracer
Volc” recommended in Sect. 3.3.3. Restricting the perturbation to the
Pinatubo sulfur will leave pre-eruption conditions and tropospheric aerosol
properties unchanged, ensuring a clean “uncertainty pdf” for the “volcanic forcing”.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e5966">Illustration of the Latin hypercube sampling method. Each dot represents
the value used in one of the particular simulations with a perturbed parameter
ensemble (PPE) with 50 members (realizations/integrations).</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/2581/2018/gmd-11-2581-2018-f06.png"/>

          </fig>

      <p id="d1e5976">That this restriction to the parameter scalings is operational is an
important preparatory exercise and will need to have been verified when
running the OAT test runs.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T10" specific-use="star"><caption><p id="d1e5982">Groups will need to translate the 0–1 latitude-spread parameter into
a sequence of fractional injections into all grid boxes between the equator and
15<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. For example for a model with 2.5<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude resolution,
the relative injection in the six latitude bins between 0 and 15<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N would
take the form [0, 0, 0, 0, 0, 0, 1] for extent factor <inline-formula><mml:math id="M181" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 and [0.167, 0.167,
0.167, 0.167, 0.167, 0.167] for extent factor <inline-formula><mml:math id="M182" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1. Injection ratios for
intermediate values of the spread factor would be calculated by interpolation
between these two end member cases.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Parameters</oasis:entry>
         <oasis:entry colname="col3">Minimum</oasis:entry>
         <oasis:entry colname="col4">Reduced</oasis:entry>
         <oasis:entry colname="col5">Standard</oasis:entry>
         <oasis:entry colname="col6">Uncertainty range</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">set</oasis:entry>
         <oasis:entry colname="col4">set</oasis:entry>
         <oasis:entry colname="col5">set</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">Injected <inline-formula><mml:math id="M183" 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> mass</oasis:entry>
         <oasis:entry colname="col3">X</oasis:entry>
         <oasis:entry colname="col4">X</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">5–10 Tg S</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">Mid-point height of 3 km thick injection</oasis:entry>
         <oasis:entry colname="col3">X</oasis:entry>
         <oasis:entry colname="col4">X</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">18–30 km</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">Latitudinal extent of the injection</oasis:entry>
         <oasis:entry colname="col3">X</oasis:entry>
         <oasis:entry colname="col4">X</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Factor 0–1 to varies from one-box</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">injection at 15<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (factor <inline-formula><mml:math id="M185" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">to equator-to-15<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (factor <inline-formula><mml:math id="M187" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">Sedimentation velocity</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">X</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Multiply model calculated</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">velocity by a factor 0.5 to 2.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M188" 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> oxidation scaling</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">X</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Scale gas phase oxidation of <inline-formula><mml:math id="M189" 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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">by a factor 0.5 to 2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">Nucleation rate of sulfate particles</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Scale model calculated rate by a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">factor 0.5 to 2.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">Sub-grid particle formation factor.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Emit fraction of <inline-formula><mml:math id="M190" 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> as sulfuric</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">acid particles formed at sub-grid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">scale (0 to 10 %)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">Coagulation rate</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">Scale the model calculated rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">by a factor 0.5 to 2.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table><?xmltex \hack{\vspace*{4mm}}?></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T11" specific-use="star"><caption><p id="d1e6474">Overview of PoEMS one-at-a-time (OAT) test runs. Note that when imposing
the parameter scaling, the models should only enact the change in
volcanically enhanced air masses (where the total sulfur volume mixing ratio
exceeds a threshold suitable for their model). Perturbing only the
volcanically enhanced air masses will ensure, pre-eruption conditions and
tropospheric aerosol properties remains unchanged by the scalings.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Exp-name</oasis:entry>
         <oasis:entry colname="col2">Specific description/volcanic emission</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">Tier</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_med</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M191" 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 <inline-formula><mml:math id="M192" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Processes unperturbed.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P4h</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M193" 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 <inline-formula><mml:math id="M194" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sedimentation rates doubled</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P4l</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M195" 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 <inline-formula><mml:math id="M196" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sedimentation rates halved</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P5h</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M197" 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 <inline-formula><mml:math id="M198" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M199" 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> oxidation rates doubled</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P5l</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M200" 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 <inline-formula><mml:math id="M201" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M202" 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> oxidation rates halved</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P6h</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M203" 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 <inline-formula><mml:math id="M204" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3">Transient</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nucleation rates doubled</oasis:entry>
         <oasis:entry colname="col3">1991–1995</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P6l</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M205" 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 <inline-formula><mml:math id="M206" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nucleation rates halved</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P7h</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M207" 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 <inline-formula><mml:math id="M208" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">% <inline-formula><mml:math id="M209" 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> as primary <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P7l</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M212" 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 <inline-formula><mml:math id="M213" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">% <inline-formula><mml:math id="M214" 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> as primary <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P8h</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M217" 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 <inline-formula><mml:math id="M218" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Coagulation rates doubled</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PoEMS_OAT_P8l</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M219" 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 <inline-formula><mml:math id="M220" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> medium, Inject shallow @ medium-alt.</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Coagulation rates halved</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table><?xmltex \hack{\vspace*{4mm}}?></table-wrap>

      <p id="d1e7069">Once a modelling group has performed the PPE of simulations as defined by
the Latin hypercube a statistical analysis will be performed. Emulators for
each of a selection of key metrics will be built, following the approach
described by Lee et al. (2011), to examine how the parameters lead to
uncertainty in key features of the Pinatubo-perturbed stratospheric aerosol.
The emulator builds a statistical model between the ensemble design and the
key model output and once validated allows sampling of the whole parameter
space to derive a PDF of each key model output.</p>
      <?pagebreak page2599?><p id="d1e7072">Variance-based sensitivity analysis will then be used to decompose the
resulting probability distribution into its sources providing information on
the key sources of uncertainty in any model output. The two sensitivity
indices of interest are called the main effect and the total effect. The
main effect measures the percentage of uncertainty in the simulated metric
due to each parameter variation individually. The total effect measures the
percentage of uncertainty in the key model output due to each parameter,
including the additional contribution from its interaction with other
uncertain parameters. The sources of model parametric uncertainty (i.e. the
sensitivity indices) will be identified for each model with discussion with
each group to check the results. By then comparing the sensitivity to the
uncertain parameters across the range of participating models, we will learn
about how the model's differing treatment of aerosol processes and the
inherent dynamical and chemical processes resolved in the host model
together determine the uncertainty in its predicted Pinatubo radiative forcings.</p>
      <p id="d1e7076">The probability distribution of observable key model outputs will also be
compared to observations in order to constrain the key sources of
uncertainty and thereby reduce the parametric uncertainty in individual
models. The resulting model constraints will be compared between models
providing quantification of both parametric uncertainty and structural
uncertainty for key variables such as AOD, effective radius, and radiative
flux anomalies. This sensitivity analysis will also identify the variables
for which better observational constraints would yield the greatest
reduction in model uncertainties.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e7087">The ISA-MIP experiments will improve our understanding of stratospheric aerosol
processes, chemistry, and dynamics and constrain climate impacts of
background aerosol “variability”, small volcanic eruptions, and large
volcanic eruptions. The experiments will also help to resolve some
disagreements amongst global aerosol models, for instance the difference in
volcanic <inline-formula><mml:math id="M221" 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> forcing efficacy for Pinatubo (see Sect. 3.3.2). The
results of this work will help constrain the contribution of stratospheric
aerosols to the early 21st century global warming hiatus period, the effects
of hypothetical geoengineering schemes, and other climate processes that
are influenced by the stratosphere. Overall, they provide an excellent
opportunity to answer some of these questions as part of the greater WCRP
SPARC and CMIP6 efforts. For example, the CMIP6 Geoengineering Model
Intercomparison Project (GeoMIP, Kravitz et al., 2015) investigates common
ways in which climate models treat various geoengineering scenarios some of
them via sulfate aerosols (e.g. Tilmes et al., 2015). However, there is a
large inter-model spread for the cooling efficiency of sulfate aerosol,
i.e. the normalized cooling rate per injected unit of sulfur (Moriyama et
al., 2016). ISA-MIP is therefore of special importance for GeoMIP as it
could help to understand the reason for these uncertainties, to better
constrain the forcing efficiency and to improve future scenarios.
Furthermore, it is so far not clear whether the large inter-model spread of
the CMIP5 models in the simulated post-volcanic climate response mostly
depends on uncertainties in the imposed volcanic forcing or on an
insufficient representation of climate processes. To discriminate between the
individual uncertainty factors, it is useful to develop standardized
experiments/model activities that systematically address specific
uncertainty factors. Hence, ISA-MIP, which covers the uncertainties in the
pathway from the eruption source to the volcanic radiative forcing, will
complement the CMIP6 VolMIP project (Zanchettin et al., 2016), which
addresses the pathway from the forcing to the climate response and the
feedback by studying the uncertainties in the post-volcanic climate
response to a well-defined volcanic forcing. ISA-MIP also complements the
chemistry climate model initiative (CCMI; Eyring et al., 2013) and the
Aerosol Comparison (AeroCom) initiative (Schulz et al., 2006) as well as
the Aerosol Chemistry Model Intercomparison Project (AerChemMIP; Collins et
al., 2017) as it concentrates on stratospheric aerosol which is not in the
focus of all these activities.</p>
      <p id="d1e7101">As well as identifying areas of agreement and disagreement among the
different complexities of models in top-level comparisons focussing on
fields such as zonal-mean mid-visible AOD and extinction profiles in
different latitudes, ISA-MIP also intends to explore relationships between
key parameters. For example, how does sulfate deposition to the polar ice
sheets relate to volcanic forcing in the different interactive stratospheric
aerosol models that predict the transport and sedimentation of the
particles? Or how do model “spectral extinction curves” evolve through the
different volcanically perturbed periods and how do they relate to simulated
effective radius compared to the theoretical approach to derive effective
radius from Stothers (1997, 2001)? There is considerable potential to apply
the model uncertainty analysis to make new statements to inform our
confidence in volcanic forcings derived from ice core and astronomical
measurements for eruptions before the in situ measurement era.</p>
</sec>

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

      <p id="d1e7109">The model output from the all simulations described in
this paper will be distributed through the World Data climate Center
<uri>https://cera-www.dkrz.de/WDCC/ui/cerasearch/</uri> with digital object
identifiers (DOIs) assigned. The model output will be freely
accessible through this data portal after registration.</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<?pagebreak page2600?><app id="App1.Ch1.S1">
  <title>List of abbreviations</title>
      <p id="d1e7124"><table-wrap id="Taba" position="anchor"><oasis:table><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">AeroCom</oasis:entry>
         <oasis:entry colname="col2">Aerosol Comparisons between Observations and Models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AOD</oasis:entry>
         <oasis:entry colname="col2">Aerosol optical depth</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASAP2006</oasis:entry>
         <oasis:entry colname="col2">Assessment of Stratospheric Aerosol properties (SPARC, 2006)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AVHRR</oasis:entry>
         <oasis:entry colname="col2">Advanced Very High Resolution Radiometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BDC</oasis:entry>
         <oasis:entry colname="col2">Brewer–Dobson circulation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CALIOP</oasis:entry>
         <oasis:entry colname="col2">Cloud-Aerosol Lidar with Orthogonal Polarization</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CATS</oasis:entry>
         <oasis:entry colname="col2">Cloud-Aerosol Transport System</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CCM</oasis:entry>
         <oasis:entry colname="col2">Chemistry–climate model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CCMI</oasis:entry>
         <oasis:entry colname="col2">Chemistry-Climate Model Initiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CMIP</oasis:entry>
         <oasis:entry colname="col2">Coupled Model Intercomparison Project</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CMIP5</oasis:entry>
         <oasis:entry colname="col2">Coupled Model Intercomparison Project, phase 5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CMIP6</oasis:entry>
         <oasis:entry colname="col2">Coupled Model Intercomparison Project, phase 6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ECMWF</oasis:entry>
         <oasis:entry colname="col2">European Centre for Medium-Range Weather Forecasting</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ENSO</oasis:entry>
         <oasis:entry colname="col2">El Niño–Southern Oscillation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ENVISAT</oasis:entry>
         <oasis:entry colname="col2">Environmental Satellite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ERA-Interim</oasis:entry>
         <oasis:entry colname="col2">ECMWF Interim Re-Analysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EVA</oasis:entry>
         <oasis:entry colname="col2">Easy Volcanic Aerosol</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GCM</oasis:entry>
         <oasis:entry colname="col2">General circulation model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GHG</oasis:entry>
         <oasis:entry colname="col2">Greenhouse gases</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GOMOS</oasis:entry>
         <oasis:entry colname="col2">Global Ozone Monitoring by Occultation of Stars</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HALOE</oasis:entry>
         <oasis:entry colname="col2">Halogen Occultation Experiment</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ISA-MIP</oasis:entry>
         <oasis:entry colname="col2">Interactive Stratospheric Aerosol Model Intercomparion Project</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IPCC</oasis:entry>
         <oasis:entry colname="col2">Intergovernmental Panel on Climate Change</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MAECHAM5-SAM2</oasis:entry>
         <oasis:entry colname="col2">Middle Atmosphere version of the European Center/HAMburg model,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">atmospheric GCM (cycle 5)  with the Stratospheric Aerosol Model (version 2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MIPAS</oasis:entry>
         <oasis:entry colname="col2">Michelson Interferometer for Passive Atmospheric Sounding</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAO</oasis:entry>
         <oasis:entry colname="col2">North Atlantic Oscillation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NH</oasis:entry>
         <oasis:entry colname="col2">Northern Hemisphere</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OMI</oasis:entry>
         <oasis:entry colname="col2">Ozone Monitoring Instrument</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OMPS</oasis:entry>
         <oasis:entry colname="col2">Ozone Mapping and Profiler Suite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OMPS-LP</oasis:entry>
         <oasis:entry colname="col2">Ozone Mapping and Profiler Suite–Limb Profiler</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OPC</oasis:entry>
         <oasis:entry colname="col2">Optical particle counter</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OSIRIS</oasis:entry>
         <oasis:entry colname="col2">Optical Spectrograph and InfraRed Imager System</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PDF</oasis:entry>
         <oasis:entry colname="col2">Probability density function</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">QBO</oasis:entry>
         <oasis:entry colname="col2">Quasi-biennial oscillation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SAGE</oasis:entry>
         <oasis:entry colname="col2">Stratospheric Aerosol and Gas Experiment</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SAM II</oasis:entry>
         <oasis:entry colname="col2">Stratospheric Aerosol Measurement II</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SCIAMACHY</oasis:entry>
         <oasis:entry colname="col2">Scanning Imaging Absorption Spectrometer for Atmospheric Chartography</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SPARC</oasis:entry>
         <oasis:entry colname="col2">Stratosphere–troposphere Processes And their Role in Climate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SSiRC</oasis:entry>
         <oasis:entry colname="col2">Stratospheric Sulfur and its Role in Climate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SST</oasis:entry>
         <oasis:entry colname="col2">Sea surface temperature</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SIC</oasis:entry>
         <oasis:entry colname="col2">Sea ice cover</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TOMS</oasis:entry>
         <oasis:entry colname="col2">Total Ozone Mapping Spectrometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TOVS</oasis:entry>
         <oasis:entry colname="col2">TIROS Operational Vertical Sounder</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VolMIP</oasis:entry>
         <oasis:entry colname="col2">Model Intercomparison Project on the climate response to Volcanic forcing</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap></p><?xmltex \hack{\clearpage}?><supplementary-material position="anchor"><p id="d1e7548">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gmd-11-2581-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/gmd-11-2581-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
</app>
  </app-group><notes notes-type="authorcontribution">

      <p id="d1e7559">CT, GWM VA, RH, LAL, AS, CB, SC MC, SSD, TD, JME, MJM, RN,
JXS, MT, and DW designed the experiments. CT and GWM co-ordinated the writing,
and drafted the paper. All authors have contributed to the writing and have
approved of the final version of the paper.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e7565">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7571">The authors thank their SSiRC colleagues for continuing support and
discussion. We acknowledge the scientific guidance (and sponsorship) of the
World Climate Research Programme to motivate this work, to be co-ordinated in
the framework of SPARC. Claudia Timmreck, Matthew Toohey and Rene Hommel acknowledge
support from the German federal Ministry of Education (BMBF), the research
programme “MiKlip” (FKZ:01LP1517(CT):/01LP1130B(MT)), and ROMIC-ROSA
(FKZ:01LG1212A (RH)). Claudia Timmreck is also supported by the European Union project
StratoClim (FP7-ENV.2013.6.1-2). Christoph Brühl's PhD student Jennifer Schallock,
who contributed to the compilation of the volcano inventory, is also
supported by StratoClim. Anja Schmidt was funded by an Academic Research
Fellowship from the School of Earth and Environment, University of Leeds, and
NERC grant NE/N006038/1. Matthew Toohey acknowledges support by the Deutsche
Forschungsgemeinschaft (DFG) in the framework of the priority programme
“Antarctic Research with comparative investigations in Arctic ice areas”
through grant TO 967/1-1. The National Center for Atmospheric Research is
funded by the National Science Foundation. Lindsay Lee is a Leverhulme Early
Career Fellow funded under the Leverhulme Trust grant ECF-2014-524. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication
were covered by the Max Planck Society. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Slimane Bekki <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>
Andres, R. J. and Kasgnoc, A. D.: A time-averaged inventory of subaerial
volcanic sulfur emissions, J. Geophys. Res., 103, 25251–25261, 1998.</mixed-citation></ref>
      <ref 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, <ext-link xlink:href="https://doi.org/10.1029/2001JD001441" ext-link-type="DOI">10.1029/2001JD001441</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Aquila, V., Oman, L. D., Stolarski, R. S., Colarco, P. R., and Newman, P. A.:
Dispersion of the volcanic sulfate cloud from a Mount Pinatubo-like eruption,
J. Geophys. Res.-Atmos., 117, D06216, <ext-link xlink:href="https://doi.org/10.1029/2011JD016968" ext-link-type="DOI">10.1029/2011JD016968</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Aquila, V., Oman, L. D., Stolarski, R., Douglass, A. R., and Newman, P. A.:
The Response of Ozone and Nitrogen Dioxide to the Eruption of Mt. Pinatubo at
Southern and Northern Midlatitudes, J. Atmos. Sci., 70, 894–900,
<ext-link xlink:href="https://doi.org/10.1175/JAS-D-12-0143.1" ext-link-type="DOI">10.1175/JAS-D-12-0143.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Aquila, V., Garfinkel, C. I., Newman, P., Oman, L. D., and Waugh, D. W.:
Modifications of the quasi-biennial oscillation by a geoengineering perturbation
of the stratospheric aerosol layer, Geophys. Res. Lett., 41, 1738–1744,
<ext-link xlink:href="https://doi.org/10.1002/2013GL058818" ext-link-type="DOI">10.1002/2013GL058818</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
Avdyushin, S. I. Tulinov, G. F., Ivanov, M. S., Kuzmenko, B. N., Mezhue, I. R.,
Nardi, B., Hauchecorne, I. A., and Chanin, M.-L.: 1. Spatial and temporal
evolution of the optical thickness of the Pinatubo aerosol clouds in the Northern
Hemisphere from a network of ship-borne and stationary lidars, Geophys. Res.
Lett., 20, 1963–1966, 1993.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
Baran, A. J. and Foot, J. S.: New application of the operational sounder HIRS
in determining a climatology of sulphuric acid aerosol from the Pinatubo eruption,
J. Geophys. Res., 99, 673–679, 1994.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Bekki, S.: Oxidation of volcanic <inline-formula><mml:math id="M222" 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>: a sink for stratospheric OH and
<inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, Geophys. Res. Lett., 22, 913–916, 1995.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>
Bekki, S., Pyle, J. A., Zhong, W., Tourni, R., Haigh, J. D., and Pyle, D. M.:
The role of microphysical and chemical processes in prolonging the climate
forcing of the Toba Eruption, Geophys. Res. Lett., 23, 2669–2672, 1996.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Bingen, C., Robert, C. E., Stebel, K., Brühl, C., Schallock, J., Vanhellemont,
F., Mateshvili, N., Höpfner, M., Trickl, T., Barnes, J. E., Jumelet, J.,
Vernier, J.-P., Popp, T., de Leeuw, G., and Pinnock, S.: Stratospheric aerosol
data records for the climate change initiative: Development, validation and
application to chemistry-climate modelling, Remote Sens. Environ., 203, 296–321,
<ext-link xlink:href="https://doi.org/10.1016/j.rse.2017.06.002" ext-link-type="DOI">10.1016/j.rse.2017.06.002</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Bittner, M., Timmreck, C., H. Schmidt, H., Toohey, M., and Krüger, K.: The
impact of wave-mean flow interaction on the Northern Hemisphere polar vortex
after tropical volcanic eruptions, J. Geophys. Res.-Atmos., 121, 5281–5297,
<ext-link xlink:href="https://doi.org/10.1002/2015JD024603" ext-link-type="DOI">10.1002/2015JD024603</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Bourassa, A. E., Degenstein, D. A., Gattinger, R. L., and Llewellyn, E. J.:
Stratospheric aerosol retrieval with OSIRIS limb scatter measurements, J.
Geophys. Res., 112, D10217, <ext-link xlink:href="https://doi.org/10.1029/2006JD008079" ext-link-type="DOI">10.1029/2006JD008079</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Bourassa, A. E., Robock, A., Randel, W. J., Deshler, T., Rieger, L. A., Lloyd,
N. D., Llewellyn, E. J. T., and Degenstein, D. A.: Large volcanic aerosol load
in the stratosphere linked to Asian monsoon transport, Science, 337, 78–81,
<ext-link xlink:href="https://doi.org/10.1126/science.1219371" ext-link-type="DOI">10.1126/science.1219371</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Bovensmann, H. Burrows, J. P., Buchwitz, M., Frerick, J., Noël, S., Rozanov,
V. V., Chance, K. V., and Goede, A. P. H.: SCIAMACHY: Mission Objectives and
Measurement Modes, J. Atmos. Sci., 56, 127–150, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1999)056&lt;0127:SMOAMM&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1999)056&lt;0127:SMOAMM&gt;2.0.CO;2</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>
Brock, C. A., Jonsson, H. H., Wilson, J. C., Dye, J. E., Baumgardner, D.,
Borrmann, S., Pitts, M. C., Osborn, M. T., DeCoursey, R. J., and  Woods, D. C:
Relationships between optical extinction, backscatter and aerosol surface and
volume in the stratosphere following the eruption of Mt. Pinatubo, Geophys. Res.
Lett., 20, 2555–2558, 1993.</mixed-citation></ref>
      <?pagebreak page2602?><ref id="bib1.bib16"><label>16</label><mixed-citation>
Browell, E. V., Butler, C. F., Fenn, M. A., Grant, W. B., Ismail, S., Schoeberl,
M. R., Toon, O. B., Loewenstein, M., and Podolske, J. R.: Ozone and Aerosol
Changes During the 1991–2 Airborne Arctic Stratospheric Expedition, Science,
261, 1151–1158, 1993.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Brühl, C.: Volcanic <inline-formula><mml:math id="M224" 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> data derived from limb viewing satellites
for the lower stratosphere from 1998 to 2012, World Data Center for Climate (WDCC)
at DKRZ, <ext-link xlink:href="https://doi.org/10.1594/WDCC/SSIRC_1" ext-link-type="DOI">10.1594/WDCC/SSIRC_1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Brühl, C., Lelieveld, J., Crutzen, P. J., and Tost, H.: The role of carbonyl
sulphide as a source of stratospheric sulphate aerosol and its impact on climate,
Atmos. Chem. Phys., 12, 1239–1253, <ext-link xlink:href="https://doi.org/10.5194/acp-12-1239-2012" ext-link-type="DOI">10.5194/acp-12-1239-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Brühl, C., Lelieveld, J., Tost, H., Höpfner, M., and Glatthor, N.:
Stratospheric sulphur and its implications for radiative forcing simulated by
the chemistry climate model EMAC, J. Geophys. Res.-Atmos., 120, 2103–2118,
<ext-link xlink:href="https://doi.org/10.1002/2014JD022430" ext-link-type="DOI">10.1002/2014JD022430</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>
Carslaw, K., Lee, L., Reddington, C., Pringle, K., Rap, A., Forster, P., Mann,
G., Spracklen, D., Woodhouse, M., and Regayre, L.: Large contribution of natural
aerosols to uncertainty in indirect forcing, Nature, 503, 67–71, 2013.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>
Carn, S. A., Clarisse, L., and Prata, A. J.: Multi-decadal satellite measurements
of global volcanic degassing, J. Volcanol. Geoth. Res., 311, 99–134, 2016.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Charlton-Perez, A. J., Baldwin, M. P., Birner, T., Black, R. X., Butler, A. H.,
Calvo, N., Davis, N. A., Gerber, E. P., Gillett, N., Hardiman, S., Kim, J.,
Krüger, K., Lee, Y.-Y., Manzini, E., McDaniel, B. A., Polvani, L., Reichler,
T., Shaw, T. A., Sigmond, M., Son, S.-W., Toohey, M., Wilcox, L., Yoden, S.,
Christiansen, B., Lott, F., Shindell, D., Yukimoto, S., and Watanabe, S.: On
the lack of stratospheric dynamical variability in low-top versions of the CMIP5
models, J. Geophys. Res.-Atmos., 118, 2494–2505, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50125" ext-link-type="DOI">10.1002/jgrd.50125</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>
Clemesha, B. R., Kent, G. S., and Wright, R. W. H,: Laser probing the lower
atmosphere, Nature, 209, 184–185, 1966.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Collins, W. J., Lamarque, J.-F., Schulz, M., Boucher, O., Eyring, V., Hegglin,
M. I., Maycock, A., Myhre, G., Prather, M., Shindell, D., and Smith, S. J.:
AerChemMIP: quantifying the effects of chemistry and aerosols in CMIP6, Geosci.
Model Dev., 10, 585–607, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-585-2017" ext-link-type="DOI">10.5194/gmd-10-585-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Crowley, T. J. and Unterman, M. B.: Technical details concerning development of
a 1200 yr proxy index for global volcanism, Earth Syst. Sci. Data, 5, 187–197,
<ext-link xlink:href="https://doi.org/10.5194/essd-5-187-2013" ext-link-type="DOI">10.5194/essd-5-187-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Dee, D. P., Uppala, S. M., Simmons, A. J., Berrisford, P., Poli, P., Kobayashi,
S., Andrae, U., Balmaseda, M. A., Balsamo, G., Bauer, P., Bechtold, P., Beljaars,
A. C. M., van de Berg, L., Bidlot, J., Bormann, N., Delsol, C., Dragani, R.,
Fuentes, M., Geer, A. J., Haimberger, L., Healy, S. B., Hersbach, H., Holm, E.
V., Isaksen, L., Kallberg, P., Kohler, M., Matricardi, M., McNally, A. P.,
Monge-Sanz, B. M., Morcrette, J. J., Park, B. K., Peubey, C., de Rosnay, P.,
Tavolato, C., Thepaut, J. N., and Vitart, F.: The ERA-Interim reanalysis:
Configuration and performance of the data assimilation system, Q. J. Roy.
Meteorol. Soc., 137, 553–597, <ext-link xlink:href="https://doi.org/10.1002/qj.828" ext-link-type="DOI">10.1002/qj.828</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Dentener, F., Kinne, S., Bond, T., Boucher, O., Cofala, J., Generoso, S.,
Ginoux, P., Gong, S., Hoelzemann, J. J., Ito, A., Marelli, L., Penner, J. E.,
Putaud, J.-P., Textor, C., Schulz, M., van der Werf, G. R., and Wilson, J.:
Emissions of primary aerosol and precursor gases in the years 2000 and 1750
prescribed data-sets for AeroCom, Atmos. Chem. Phys., 6, 4321–4344,
<ext-link xlink:href="https://doi.org/10.5194/acp-6-4321-2006" ext-link-type="DOI">10.5194/acp-6-4321-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>
Deshler, T.: In situ measurements of Pinatubo aerosol over Kiruna on four days
between 18 January and 13 February 1992, Geophys. Res. Lett., 21, 1323–1326, 1994.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Deshler, T.: A review of global stratospheric aerosol: measurements, importance,
life cycle, and local stratospheric aerosol, Atmos. Res., 90, 223–232,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2008.03.016" ext-link-type="DOI">10.1016/j.atmosres.2008.03.016</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Deshler, T., Hervig, M. E., Hofmann, D. J., Rosen, J. M., and Liley, J. B.:
Thirty years of in situ stratospheric aerosol size distribution measurements
from Laramie, Wyoming (41<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), using balloon-borne instruments, J.
Geophys. Res.-Atmos., 108, 4167, <ext-link xlink:href="https://doi.org/10.1029/2002JD002514" ext-link-type="DOI">10.1029/2002JD002514</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Dhomse, S. S., Emmerson, K. M., Mann, G. W., Bellouin, N., Carslaw, K. S.,
Chipperfield, M. P., Hommel, R., Abraham, N. L., Telford, P., Braesicke, P.,
Dalvi, M., Johnson, C. E., O'Connor, F., Morgenstern, O., Pyle, J. A., Deshler,
T., Zawodny, J. M., and Thomason, L. W.: Aerosol microphysics simulations of
the Mt. Pinatubo eruption with the UM-UKCA composition-climate model, Atmos.
Chem. Phys., 14, 11221–11246, <ext-link xlink:href="https://doi.org/10.5194/acp-14-11221-2014" ext-link-type="DOI">10.5194/acp-14-11221-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Diallo, M., Ploeger, F., Konopka, P., Birner, T., Müller, R., Riese, M.,
and Jegou, F.: Significant Contributions of Volcanic Aerosols to Decadal Changes
in the Stratospheric Circulation, Geophys. Res. Lett., 44, 10780, <ext-link xlink:href="https://doi.org/10.1002/2017GL074662" ext-link-type="DOI">10.1002/2017GL074662</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Diehl, T., Heil, A., Chin, M., Pan, X., Streets, D., Schultz, M., and Kinne,
S.: Anthropogenic, biomass burning, and volcanic emissions of black carbon,
organic carbon, and <inline-formula><mml:math id="M226" 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> from 1980 to 2010 for hindcast model experiments,
Atmos. Chem. Phys. Discuss., 12, 24895–24954, <ext-link xlink:href="https://doi.org/10.5194/acpd-12-24895-2012" ext-link-type="DOI">10.5194/acpd-12-24895-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>
Dyer, A. J. and Hicks, B. B.: Stratospheric transport of volcanic dust inferred
from surface radiation measurements, Nature, 208, 131–133, 1965.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Dyer, A. J. and Hicks, B. B.: Global spread of volcanic dust from the Bali
eruption of 1963, Q. J. Roy. Meteorol. Soc., 94, 545–554, 1968.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Ebert, M., Weigel, R., Kandler, K., Günther, G., Molleker, S., Grooß,
J.-U., Vogel, B., Weinbruch, S., and Borrmann, S.: Chemical analysis of
refractory stratospheric aerosol particles collected within the arctic vortex
and inside polar stratospheric clouds, Atmos. Chem. Phys., 16, 8405–8421,
<ext-link xlink:href="https://doi.org/10.5194/acp-16-8405-2016" ext-link-type="DOI">10.5194/acp-16-8405-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>
Elterman, L. Wexler, R., and Chang, D. T.: Features of Tropospheric and
Stratospheric Dust, Appl. Optics, 8, 893–903, 1969.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>English, J. M., Toon, O. B., Mills, M. J., and Yu, F.: Microphysical
simulations of new particle formation in the upper troposphere and lower
stratosphere, Atmos. Chem. Phys., 11, 9303–9322, <ext-link xlink:href="https://doi.org/10.5194/acp-11-9303-2011" ext-link-type="DOI">10.5194/acp-11-9303-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>English, J. M., Toon, O. B., and Mills, M. J.: Microphysical simulations of
large volcanic eruptions: Pinatubo and Toba, J. Geophys. Res.-Atmos., 118,
1880–1895, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50196" ext-link-type="DOI">10.1002/jgrd.50196</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>
Eyring, V., Lamarque, J.-F., Hess, P., Arfeuille, F., Bowman, K., Chipperfield,
M. P., Duncan, B., Fiore, A., Gettelman, A., Giorgetta, M. A., Granier, C.,
Hegglin, M., Kinnison, D., Kunze, M.,<?pagebreak page2603?> Langematz, U., Luo, B., Martin, R., Matthes,
K., Newman, P. A., Peter, T., Robock, A., Ryerson, T., Saiz-Lopez, A.,
Salawitch, R., Schultz, M., Shepherd, T. G., Shindell, D., Staehelin, J.,
Tegtmeier, S., Thomason, L., Tilmes, S., Vernier, J.-P., Waugh, D. W., and
Young, P. J.: Overview of IGAC/SPARC Chemistry-Climate Model Initiative (CCMI)
Community Simulations in Support of Upcoming Ozone and Climate Assessments,
SPARC Newsletter No. 40, SPARC, 48–66, 2013.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>
Flowers, E. C. and Viebrock, H. J.: Solar Radiation: An Anomalous Decrease
of Direct Solar Radiation, Science, 148, 493–494, 1965.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>
Friend, J. P.: Properties of the stratospheric aerosol, Tellus, 18, 465-473, 1966.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Gao, C., Oman, L., Robock, A., and Stenchikov, G. L.: Atmospheric volcanic
loading derived from bipolar ice cores: Accounting for the spatial distribution
of volcanic deposition, J. Geophys. Res., 112, D09109, <ext-link xlink:href="https://doi.org/10.1029/2006JD007461" ext-link-type="DOI">10.1029/2006JD007461</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Gao, C., Robock, A., and Ammann, C.: Volcanic forcing of climate over the past
1500 years: an improved ice core-based index for climate models, J. Geophys.
Res., 113, D23111, <ext-link xlink:href="https://doi.org/10.1029/2008JD010239" ext-link-type="DOI">10.1029/2008JD010239</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Garcia, R. R., Randel, W. J., and Kinnison, D. E.: On the determination of age
of air trends from atmospheric trace species, J. Atmos. Sci., 68, 139–154,
<ext-link xlink:href="https://doi.org/10.1175/2010JAS3527.1" ext-link-type="DOI">10.1175/2010JAS3527.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Garfinkel, C. I., Aquila, V., Waugh, D. W., and Oman, L. D.: Time-varying
changes in the simulated structure of the Brewer–Dobson Circulation, Atmos.
Chem. Phys., 17, 1313–1327, <ext-link xlink:href="https://doi.org/10.5194/acp-17-1313-2017" ext-link-type="DOI">10.5194/acp-17-1313-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Glatthor, N., Höpfner, M., Baker, I. T., Berry, J., Campbell, J. E., Kawa,
S. R., Krysztofiak, G., Leyser, A., Sinnhuber, B.-M., Stiller, G. P., Stinecipher,
J., and von Clarmann, T.: Tropical sources and sinks of carbonyl sulfide observed
from space, Geophys. Res. Lett., 42, 10082–10090, <ext-link xlink:href="https://doi.org/10.1002/2015GL066293" ext-link-type="DOI">10.1002/2015GL066293</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>
Grainger, R. G., Lambert, A., Taylor, F. W., Remedios, J. J., Rogers, C. D.,
and Corney, M.: Infrared absorption by volcanic stratospheric aerosols observed
by ISAMS, Geophys. Res. Lett., 20, 1287–1290, 1993.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>
Grams, G. and Fiocco, G.: Stratospheric Aerosol Layer during 1964 and 1965, J.
Geophys. Res., 72, 3523–3542, 1967.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Granier, C., Bessagnet, B., Bond, T. C., D'Angiola, A., Denier van der Gon, H.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., Kloster, S.,
Lamarque, J.-F., Liousse, C., Masui, T., Meleux, F., Mieville, A., Ohara, T.,
Raut, J.-C., Riahi, K., Schultz, M. G., Smith, S. J., Thompson, A., Aardenne,
J., Werf, G. R., and Vuuren, D. P.: Evolution of anthropogenic and biomass
burning emissions of air pollutants at global and regional scales during the
1980–2010 period, Climatic Change, 109, 163–190, <ext-link xlink:href="https://doi.org/10.1007/s10584-011-0154-1" ext-link-type="DOI">10.1007/s10584-011-0154-1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Günther, A., Höpfner, M., Sinnhuber, B.-M., Griessbach, S., Deshler,
T., von Clarmann, T., and Stiller, G.: MIPAS observations of volcanic sulfate
aerosol and sulfur dioxide in the stratosphere, Atmos. Chem. Phys., 18,
1217–1239, <ext-link xlink:href="https://doi.org/10.5194/acp-18-1217-2018" ext-link-type="DOI">10.5194/acp-18-1217-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Guo, S., Bluth, G. J. S., Rose, W. I., Watson, I. M., and Prata, A. J.:
Re-evaluation of <inline-formula><mml:math id="M227" 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 of the 15 June 1991 Pinatubo eruption
using ultraviolet and infrared satellite sensors, Geochem. Geophy. Geosy., 5, 1–31, 2004a.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Guo, S, Rose, W. I., Bluth, G. J. S., and Watson, I. M.: Particles in the great
Pinatubo volcanic cloud of June 1991: the role of ice, Geochem. Geophy. Geosy.,
5, Q05003, <ext-link xlink:href="https://doi.org/10.1029/2003GC000655" ext-link-type="DOI">10.1029/2003GC000655</ext-link>, 2004b.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>
Hamill, P. and Brogniez, C.: Ch4. Stratospheric aerosol record and climatology,
in: SPARC Assessment of Stratospheric Aerosol Properties, edited by: Thomason,
L. and Peter, T., World Climate Research Program 124, Toronto, 107–176, 2006.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>
Hamill, P., Jensen, E. J., Russel, P. B., and Bauman, J. J.: The life cycle of
stratospheric aerosol particles, B. Am. Meteorol. Soc., 78, 1395–1410, 1997.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Hofmann, D. J. and Rosen, J. M.: Sulfuric acid droplet formation and growth
in the stratosphere after the 1982 eruption of El Chichón, Geophys. Res.
Lett., 10, 313–316, <ext-link xlink:href="https://doi.org/10.1029/GL010i004p00313" ext-link-type="DOI">10.1029/GL010i004p00313</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>
Hofmann, D. J. and Rosen, J. M.: On the prolonged lifetime of the El Chichón
sulfuric acid aerosol cloud, J. Geophys. Res., 92, 9825–9830, 1987.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>
Hofmann, D. J., Barnes, J. O'Neill, M., Trudeau, M. and Neely, R.: Increase in
background stratospheric aerosol observed with lidar at Mauna Loa Observatory
and Boulder, Colorado, Geophys. Res. Lett., 36, 1–5, 2009.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Hommel, R., Timmreck, C., and Graf, H. F.: The global middle-atmosphere aerosol
model MAECHAM5-SAM2: comparison with satellite and in-situ observations, Geosci.
Model Dev., 4, 809–834, <ext-link xlink:href="https://doi.org/10.5194/gmd-4-809-2011" ext-link-type="DOI">10.5194/gmd-4-809-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>Hommel, R., Timmreck, C., Giorgetta, M. A., and Graf, H. F.: Quasi-biennial
oscillation of the tropical stratospheric aerosol layer, Atmos. Chem. Phys.,
15, 5557–5584, <ext-link xlink:href="https://doi.org/10.5194/acp-15-5557-2015" ext-link-type="DOI">10.5194/acp-15-5557-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>Höpfner, M., Glatthor, N., Grabowski, U., Kellmann, S., Kiefer, M., Linden,
A., Orphal, J., Stiller, G., von Clarmann, T., Funke, B., and Boone, C. D.:
Sulfur dioxide (<inline-formula><mml:math id="M228" 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>) as observed by MIPAS/Envisat: temporal development
and spatial distribution at 15–45 km altitude, Atmos. Chem. Phys., 13,
10405–10423, <ext-link xlink:href="https://doi.org/10.5194/acp-13-10405-2013" ext-link-type="DOI">10.5194/acp-13-10405-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Höpfner, M., Boone, C. D., Funke, B., Glatthor, N., Grabowski, U.,
Günther, A., Kellmann, S., Kiefer, M., Linden, A., Lossow, S., Pumphrey,
H. C., Read, W. G., Roiger, A., Stiller, G., Schlager, H., von Clarmann, T.,
and Wissmüller, K.: Sulfur dioxide (<inline-formula><mml:math id="M229" 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>) from MIPAS in the upper
troposphere and lower stratosphere 2002–2012, Atmos. Chem. Phys., 15, 7017–7037,
<ext-link xlink:href="https://doi.org/10.5194/acp-15-7017-2015" ext-link-type="DOI">10.5194/acp-15-7017-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Jones, A. C., Haywood, J. M., Jones, A., and Aquila, V.: Sensitivity of volcanic
aerosol dispersion to meteorological conditions: A Pinatubo case study, J.
Geophys. Res.-Atmos., 121, 6892–6908, <ext-link xlink:href="https://doi.org/10.1002/2016JD025001" ext-link-type="DOI">10.1002/2016JD025001</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>
Kent, G. S., Clemesha, B. R., and Wright, R. W.: High altitude atmospheric
scattering of light from a laser beam, J. Atmos. Terr. Phys., 29, 169–181, 1967.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Kinne, S., Toon, O. B., and Prather, M. J.: Buffering of stratospheric
circulation by changing amounts of tropical ozone a Pinatubo Case Study, Geophys.
Res. Lett., 19, 1927–1930, <ext-link xlink:href="https://doi.org/10.1029/92GL01937" ext-link-type="DOI">10.1029/92GL01937</ext-link>, 1992.</mixed-citation></ref>
      <?pagebreak page2604?><ref id="bib1.bib66"><label>66</label><mixed-citation>Kleinschmitt, C., Boucher, O., and Platt, U.: Sensitivity of the radiative
forcing by stratospheric sulfur geoengineering to the amount and strategy of
the <inline-formula><mml:math id="M230" 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> injection studied with the LMDZ-S3A model, Atmos. Chem. Phys.,
18, 2769–2786, <ext-link xlink:href="https://doi.org/10.5194/acp-18-2769-2018" ext-link-type="DOI">10.5194/acp-18-2769-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>Kokkola, H., Hommel, R., Kazil, J., Niemeier, U., Partanen, A.-I., Feichter, J.,
and Timmreck, C.: Aerosol microphysics modules in the framework of the ECHAM5
climate model – intercomparison under stratospheric conditions, Geosci. Model
Dev., 2, 97–112, <ext-link xlink:href="https://doi.org/10.5194/gmd-2-97-2009" ext-link-type="DOI">10.5194/gmd-2-97-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Kovilakam, M. and Deshler, T.: On the accuracy of stratospheric aerosol
extinction derived from in situ size distribution measurements and surface area
density derived from remote SAGE II and HALOE extinction measurements, J.
Geophys. Res.-Atmos., 120, 8426–8447, <ext-link xlink:href="https://doi.org/10.1002/2015JD023303" ext-link-type="DOI">10.1002/2015JD023303</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>Kravitz, B., Robock, A., Bourassa, A., and Stenchikov, G.: Negligible climatic
effects from the 2008 Okmok and Kasatochi volcanic eruptions, J. Geophys. Res.,
115,  D00L05, <ext-link xlink:href="https://doi.org/10.1029/2009JD013525" ext-link-type="DOI">10.1029/2009JD013525</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Kravitz, B., Robock, A., Tilmes, S., Boucher, O., English, J. M., Irvine, P. J.,
Jones, A., Lawrence, M. G., MacCracken, M., Muri, H., Moore, J. C., Niemeier,
U., Phipps, S. J., Sillmann, J., Storelvmo, T., Wang, H., and Watanabe, S.: The
Geoengineering Model Intercomparison Project Phase 6 (GeoMIP6): simulation
design and preliminary results, Geosci. Model Dev., 8, 3379–3392,
<ext-link xlink:href="https://doi.org/10.5194/gmd-8-3379-2015" ext-link-type="DOI">10.5194/gmd-8-3379-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation>Kremser, S., Thomason, L. W., von Hobe, M., Hermann, M., Deshler, T., Timmreck,
C., Toohey, M., Stenke, A., Schwarz, J. P., Weigel, R., Fueglistaler, S., Prata,
F. J., Vernier, J.-P., Schlager, H., Barnes, J. E., Antuña-Marrero, J.-C.,
Fairlie, D., Palm, M., Mahieu, E., Notholt, J., Rex, M., Bingen, C., Vanhellemont,
F., Bourassa, A., Plane, J. M. C., Klocke, D., Carn, S. A., Clarisse, L., Trickl,
T., Neely, R., James, A. D., Rieger, L., Wilson, J. C., and Meland, B.:
Stratospheric aerosol – Observations, processes, and impact on climate, Rev.
Geophys., 54, 1–58, <ext-link xlink:href="https://doi.org/10.1002/2015RG000511" ext-link-type="DOI">10.1002/2015RG000511</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Krueger, A. J., Krotkov, N. A., and Carn, S. A.: El Chichon: the genesis of
volcanic sulfur dioxide monitoring from space, J. Volcanol. Geoth. Res., 175,
408–414, <ext-link xlink:href="https://doi.org/10.1016/j.jvolgeores.2008.02.026" ext-link-type="DOI">10.1016/j.jvolgeores.2008.02.026</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation>
Lacis, A., Hansen, J., and Sato, M.: Climate forcing by stratospheric aerosols,
Geophys. Res. Lett., 19, 1607–1610, 1992.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>
Lambert, A., Grainger, R., Remedios, J., Rodgers, C., Corney, M., and Taylor,
F.: Measurements of the evolution of the Mt. Pinatubo aerosol cloud by ISAMS,
Geophys. Res. Lett., 20, 1287–1290, 1993.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><mixed-citation>Lee, L. A., Carslaw, K. S., Pringle, K. J., Mann, G. W., and Spracklen, D. V.:
Emulation of a complex global aerosol model to quantify sensitivity to uncertain
parameters, Atmos. Chem. Phys., 11, 12253–12273, <ext-link xlink:href="https://doi.org/10.5194/acp-11-12253-2011" ext-link-type="DOI">10.5194/acp-11-12253-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><mixed-citation>
Mann, G. W., Dhomse, S., Deshler, T., Timmreck, C., Schmidt, A., Neely, R., and
Thomason, L.: Evolving particle size is the key to improved volcanic forcings,
Past Global Change, 23, 52–53, 2015.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><mixed-citation>Marotzke, J. and Forster, P. M.: Forcing, feedback and internal variability in
global temperature trends, Nature, 517, 565–570, <ext-link xlink:href="https://doi.org/10.1038/nature14117" ext-link-type="DOI">10.1038/nature14117</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Marshall, L., Schmidt, A., Toohey, M., Carslaw, K. S., Mann, G. W., Sigl, M.,
Khodri, M., Timmreck, C., Zanchettin, D., Ball, W. T., Bekki, S., Brooke, J. S.
A., Dhomse, S., Johnson, C., Lamarque, J.-F., LeGrande, A. N., Mills, M. J.,
Niemeier, U., Pope, J. O., Poulain, V., Robock, A., Rozanov, E., Stenke, A.,
Sukhodolov, T., Tilmes, S., Tsigaridis, K., and Tummon, F.: Multi-model
comparison of the volcanic sulfate deposition from the 1815 eruption of
Mt. Tambora, Atmos. Chem. Phys., 18, 2307–2328, <ext-link xlink:href="https://doi.org/10.5194/acp-18-2307-2018" ext-link-type="DOI">10.5194/acp-18-2307-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>McLinden, C. A., Bourassa, A. E., Brohede, S., Cooper, M., Degenstein, D. A.,
Evans, W. J. F., Gattinger, R. L., Haley, C. S., Llewellyn, E. J., Lloyd, N. D.,
Loewen, P., Martin, R. V., McConnell, J. C., McDade, I. C., Murtagh, D., Rieger,
L., Von Savigny, C., Sheese, P. E., Sioris, C. E., Solheim, B., and Strong, K.:
Osiris: A Decade of scattered light, B. Am. Meteorol. Soc., 93, 1845–1863,
<ext-link xlink:href="https://doi.org/10.1175/BAMS-D-11-00135.1" ext-link-type="DOI">10.1175/BAMS-D-11-00135.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Mills, M. J., Schmidt, A., Easter, R., Solomon, S., Kinnison, D. E., Ghan, S.
J., Neely III, R. R., Marsh, D. R., Conley, A., Bardeen, C. G., and Gettelman,
A.: Global volcanic aerosol properties derived from emissions, 1990–2014,
using CESM1(WACCM), J. Geophys. Res.-Atmos., 121, 2332–2348, <ext-link xlink:href="https://doi.org/10.1002/2015JD024290" ext-link-type="DOI">10.1002/2015JD024290</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Mills, M. J., Richter, J. H., Tilmes, S., Kravitz, B., MacMartin, D. G.,
Glanville, A. A., Tribbia, J. J., Lamarque, J.-F., Vitt, F., Schmidt, A.,
Gettelman, A., Hannay, C., Bacmeister, J. T., and Kinnison, D. E.: Radiative
and chemical response to interactive stratospheric sulfate aerosols in fully
coupled CESM1 (WACCM), J. Geophys. Res.-Atmos., 122, 13061–13078, <ext-link xlink:href="https://doi.org/10.1002/2017JD027006" ext-link-type="DOI">10.1002/2017JD027006</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><mixed-citation>Montzka, S. A., Calvert, P., Hall, B. D., Elkins, J. W., Conway, T. J., Tans,
P. P., and Sweeney, C.: On the global distribution, seasonality, and budget of
atmospheric carbonyl sulfide and some similarities with <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, J.
Geophys. Res., 112, D09302, <ext-link xlink:href="https://doi.org/10.1029/2006JD007665" ext-link-type="DOI">10.1029/2006JD007665</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><mixed-citation>
Moreno, H. and Stock, J.: The atmospheric extinction on Cerro Tololo during 1963,
Pub. Astron. Soc. Pacific, 76, 55–56, 1964.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><mixed-citation>Moriyama, R., Sugiyama, M., Kurosawa, A., Masuda, K., Tsuzuki, K., and Ishimoto,
Y.: The cost of stratospheric climate engineering revisited, Mitig. Adapt. Strat.
Global Change, 22, 1207–1228, <ext-link xlink:href="https://doi.org/10.1007/s11027-016-9723-y" ext-link-type="DOI">10.1007/s11027-016-9723-y</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><mixed-citation>
Mossop, S. C.: Stratospheric particles at 20 km, Nature, 199, 325–326, 1963.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><mixed-citation>
Mossop, S. C.: Volcanic dust collected at an altitude of 20 km, Nature, 203, 824–827, 1964.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><mixed-citation>Muthers, S., Kuchar, A., Stenke, A., Schmitt, J., Anet, J. G., Raible, C. C.,
and Stocker, T. F.: Stratospheric age of air variations between 1600–2100,
Geophys. Res. Lett., 43, 5409–5418, <ext-link xlink:href="https://doi.org/10.1002/2016GL068734" ext-link-type="DOI">10.1002/2016GL068734</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><mixed-citation>
Myhre, G., Shindell, D., Bréon, F. M., Collins, W., Fuglestvedt, J., Huang,
J., Koch, D., Lamarque, J. F., Lee, D., Mendoza, B., Nakajima, T., Robock, A.,
Stephens, G., Takemura, T., and Zhang, H.: Anthropogenic and natural radiative
forcing, in: Climate Change 2013: The Physical Science Basis, Contribution of
Working Group I to the Fifth Assessment Report of the Intergovernmental Panel
on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner, G.-K., Tignor,
M., Allen, S. K., Nauels, A., Xia, Y., Bex, V., and Midgley, P. M., Cambridge
University Press, Cambridge, UK and New York, NY, USA, 2013.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><mixed-citation>
Nardi, B., Chanin, M.-L, Hauchecorne, I. A., Avdyushin, S. I., Tulinov, G. F.,
Ivanov, M. S., Kuzmenko, B. N., and Mezhue, I. R.: 2. Morphology and dynamics
of the Pinatubo aerosol layer in the<?pagebreak page2605?> northern hemisphere as detected from a
ship-borne lidar, Geophys. Res. Lett., 20, 1967–1971, 1993.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><mixed-citation>
National Research Council: Climate Intervention: Reflecting Sunlight to Cool
Earth, The Natl. Acad. Press, Washington, D.C., 2015.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><mixed-citation>Neely, R. and Schmidt, A.: VolcanEESM: Global volcanic sulphur dioxide (<inline-formula><mml:math id="M232" 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 database from 1850 to present – Version 1.0, Cent. Environ. Data
Anal., <ext-link xlink:href="https://doi.org/10.5285/76ebdc0b-0eed-4f70-b89e-55e606bcd568" ext-link-type="DOI">10.5285/76ebdc0b-0eed-4f70-b89e-55e606bcd568</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><mixed-citation>Neely III, R. R., Toon, O. B., Solomon, S., Vernier, J. P., Alvarez, C., English,
J. M., Rosenlof, K. H., Mills, M., Bardeen, C. G., Daniel, J. S., and Thayer,
J. P.: Recent anthrogenic increases in <inline-formula><mml:math id="M233" 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> from Asia have minimal
impact on stratospheric aerosol, Geophys. Res. Lett., 40, 999–1004, <ext-link xlink:href="https://doi.org/10.1002/grl.50263" ext-link-type="DOI">10.1002/grl.50263</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><mixed-citation>Neely III, R. R., Yu, P. Rosenlof, K. H., Toon, O. B., Daniel, J. S., Solomon,
S., and Miller, H. L.: The contribution of anthropogenic <inline-formula><mml:math id="M234" 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 the Asian tropopause aerosol layer, J. Geophys. Res.-Atmos., 119, 1571–1579,
<ext-link xlink:href="https://doi.org/10.1002/2013JD020578" ext-link-type="DOI">10.1002/2013JD020578</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><mixed-citation>Niemeier, U. and Schmidt, H.: Changing transport processes in the stratosphere
by radiative heating of sulfate aerosols, Atmos. Chem. Phys., 17, 14871–14886,
<ext-link xlink:href="https://doi.org/10.5194/acp-17-14871-2017" ext-link-type="DOI">10.5194/acp-17-14871-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><mixed-citation>Niemeier, U. and Timmreck, C.: What is the limit of climate engineering by
stratospheric injection of <inline-formula><mml:math id="M235" 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>?, Atmos. Chem. Phys., 15, 9129–9141,
<ext-link xlink:href="https://doi.org/10.5194/acp-15-9129-2015" ext-link-type="DOI">10.5194/acp-15-9129-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><mixed-citation>Niemeier, U., Timmreck, C., Graf, H.-F., Kinne, S., Rast, S., and Self, S.:
Initial fate of fine ash and sulfur from large volcanic eruptions, Atmos. Chem.
Phys., 9, 9043–9057, <ext-link xlink:href="https://doi.org/10.5194/acp-9-9043-2009" ext-link-type="DOI">10.5194/acp-9-9043-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib97"><label>97</label><mixed-citation>Oman, L., Robock, A., Stenchikov, G. L., Thordarson, T., Koch, D., Shindell, D.
T., and Gao, C. C.: Modeling the distribution of the volcanic aerosol cloud
from the 1783–1784 Laki eruption, J. Geophys. Res.-Atmos., 111, D12209,
<ext-link xlink:href="https://doi.org/10.1029/2005JD006899" ext-link-type="DOI">10.1029/2005JD006899</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><mixed-citation>
Pinto, J. P., Turco, R. P., and Toon, O. B.: Self-limiting physical and chemical
effects in volcanic eruption clouds, J. Geophys. Res., 94, 11165–11174, 1989.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><mixed-citation>Pitari, G. and Mancini, E.: Short-term climatic impact of the 1991 volcanic
eruption of Mt. Pinatubo and effects on atmospheric tracers, Nat. Hazards Earth
Syst. Sci., 2, 91–108, <ext-link xlink:href="https://doi.org/10.5194/nhess-2-91-2002" ext-link-type="DOI">10.5194/nhess-2-91-2002</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib100"><label>100</label><mixed-citation>Pitari, G., Cionni, I., Di Genova, G., Visioni, D., Gandolfi, I., and Mancini,
E.: Impact of Stratospheric Volcanic Aerosols on Age of-Air and Transport of
Long-Lived Species, Atmosphere, 7, 149, <ext-link xlink:href="https://doi.org/10.3390/atmos7110149" ext-link-type="DOI">10.3390/atmos7110149</ext-link>, 2016a.</mixed-citation></ref>
      <ref id="bib1.bib101"><label>101</label><mixed-citation>Pitari, G., Di Genova, G., Mancini, E., Visioni, D., Gandolfi, I., and Cionni,
I.: Stratospheric Aerosols from Major Volcanic Eruptions: A Composition-Climate
Model Study of the Aerosol Cloud Dispersal and e-folding Time, Atmosphere, 7,
75, <ext-link xlink:href="https://doi.org/10.3390/atmos7060075" ext-link-type="DOI">10.3390/atmos7060075</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bib102"><label>102</label><mixed-citation>
Pittock, A. B.: A thin stable layer of anomalous ozone and dust content, J.
Atmos. Sci., 23, 538–542, 1966.</mixed-citation></ref>
      <ref id="bib1.bib103"><label>103</label><mixed-citation>Plumb, R. A.: A “tropical pipe” model of stratospheric transport, J. Geophys.
Res., 101, 3957–3972, <ext-link xlink:href="https://doi.org/10.1029/95JD03002" ext-link-type="DOI">10.1029/95JD03002</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib104"><label>104</label><mixed-citation>
Pueschel, R. F., Machta, L., Cotton, G. F., Flower, E. C., and Peterson, J. T.:
Normal Incidence Radiation Trends and Mauna Loa, Hawaii, Nature, 240, 545–547, 1972.</mixed-citation></ref>
      <ref id="bib1.bib105"><label>105</label><mixed-citation>Pueschel, R. F., Russell, R. B., Allen, D. A., Ferry, G. V., Snetsinger, K.
G., Livingston, J. M., and Verma, S.: Physical and optical properties of the
Pinatubo volcanic aerosol: Aircraft observations with impactors and a Sun-tracking
photometer, J. Geophys. Res.-Atmos., 99, 12915–12922, <ext-link xlink:href="https://doi.org/10.1029/94JD00621" ext-link-type="DOI">10.1029/94JD00621</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bib106"><label>106</label><mixed-citation>Pumphrey, H. C., Read, W. G., Livesey, N. J., and Yang, K.: Observations of
volcanic <inline-formula><mml:math id="M236" 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> from MLS on Aura, Atmos. Meas. Tech., 8, 195–209,
<ext-link xlink:href="https://doi.org/10.5194/amt-8-195-2015" ext-link-type="DOI">10.5194/amt-8-195-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib107"><label>107</label><mixed-citation>Rault, D. F. and Loughman, R. P.: The OMPS Limb Profiler Environmental Data
Record Algorithm Theoretical Basis Document and Expected Performance, IEEE
T. Geosci. Remote, 51, 2505–2527, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2012.2213093" ext-link-type="DOI">10.1109/TGRS.2012.2213093</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib108"><label>108</label><mixed-citation>Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Sweeney, C., Tans,
P., Wang, T., Elkins, J. W., Bönisch, H., Engel, A., and Sugawara, S.:
Improving stratospheric transport trend analysis based on <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements, J. Geophys. Res.-Atmos., 119, 14–110, 2014.</mixed-citation></ref>
      <ref id="bib1.bib109"><label>109</label><mixed-citation>Rayner, N. A., Parker, D. E., Horton, E. B., Folland, C. K., Alexander, L.
V., Rowell, D. P., Kent, E. C., and Kaplan, A.: Global analyses of sea surface
temperature, sea ice, and night marine air temperature since the late nineteenth
century, J. Geophys. Res., 108, 4407, <ext-link xlink:href="https://doi.org/10.1029/2002JD002670" ext-link-type="DOI">10.1029/2002JD002670</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib110"><label>110</label><mixed-citation>Reeves, J. M., Wilson, J., Brock, C., A., and Bui, T. P.: Comparison of aerosol
extinction coefficients, surface area density, and volume density from SAGE II
and in situ aircraft measurements, J. Geophys. Res, 113, DI1202, <ext-link xlink:href="https://doi.org/10.1029/2007JD009357" ext-link-type="DOI">10.1029/2007JD009357</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib111"><label>111</label><mixed-citation>Ridley, D. A., Solomon, S., Barnes, J. E., Burlakov, V. D., Deshler, T., Dolgii,
S. I., Herber, A. B., Nagai, T., Neely III, R. R., Nevzorov, A. V., Ritter, C.,
Sakai, T., Santer, B. D., Sato, M., Schmidt, A., Uchino, O., and Vernier, J. P.:
Total volcanic stratospheric aerosol optical depths and implications for global
climate change, J. Geophys. Res., 41, 7763–7769, <ext-link xlink:href="https://doi.org/10.1002/2014GL061541" ext-link-type="DOI">10.1002/2014GL061541</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib112"><label>112</label><mixed-citation>Rieger, L. A., Bourassa, A. E., and Degenstein, D. A.: Merging the OSIRIS and
SAGE II stratospheric aerosol records, J. Geophys. Res.-Atmos., 120, 8890–8904,
<ext-link xlink:href="https://doi.org/10.1002/2015JD023133" ext-link-type="DOI">10.1002/2015JD023133</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib113"><label>113</label><mixed-citation>Robock, A.: Volcanic eruptions and climate, Rev. Geophys., 38, 191–219,
<ext-link xlink:href="https://doi.org/10.1029/1998RG000054" ext-link-type="DOI">10.1029/1998RG000054</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib114"><label>114</label><mixed-citation>Robock, A., MacMartin, D. G., Duren, R., and Christensen, M. W.: Studying
geoengineering with natural and anthropogenic analogs, Climatic Change, 121,
445–458, <ext-link xlink:href="https://doi.org/10.1007/s10584-013-0777-5" ext-link-type="DOI">10.1007/s10584-013-0777-5</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib115"><label>115</label><mixed-citation>Rollins, A. W., Thornberry, T. D., Watts, L. A., Yu, P., Rosenlof, K. H., Mills,
M., Baumann, E., Giorgetta, F. R., Bui, T. V., Höpfner, M., Walker, K. A.,
Boone, C., Bernath, P. F., Colarco, P. R., Newman, P. A., Fahey, D. W., and Gao,
R. S.: The role of sulfur dioxide in stratospheric aerosol formation evaluated
by using in situ measurements in the tropical lower stratosphere, Geophys. Res.
Lett., 44, 4280–4286, <ext-link xlink:href="https://doi.org/10.1002/2017GL072754" ext-link-type="DOI">10.1002/2017GL072754</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib116"><label>116</label><mixed-citation>
Rosen, J. M.: The Vertical Distribution of Dust to 30 Kilometers, J. Geophys.
Res., 69, 4673–4767, 1964.</mixed-citation></ref>
      <?pagebreak page2606?><ref id="bib1.bib117"><label>117</label><mixed-citation>
Rosen, J. M.: Correlation of dust and ozone in the stratosphere, Nature, 209, 1342, 1966.</mixed-citation></ref>
      <ref id="bib1.bib118"><label>118</label><mixed-citation>
Rosen, J. M.: Simultaneous Dust and Ozone Soundings over North and Central
America, J. Geophys. Res., 73, 479–486, 1968.</mixed-citation></ref>
      <ref id="bib1.bib119"><label>119</label><mixed-citation>
Rougier, J., Sexton, D. M. H., Murphy, J. M., and Stainforth, D. A.: Analyzing
the climate sensitivity of the HadSM3 climate model using ensembles from
different but related experiments, J. Climate, 22, 3540–3557, 2009.</mixed-citation></ref>
      <ref id="bib1.bib120"><label>120</label><mixed-citation>
Russell, P. B. and McCormick, M. P.: SAGE II aerosol data validation and initial
data use: An introduction and overview, J. Geophys. Res., 94, 8335–8338, 1989.</mixed-citation></ref>
      <ref id="bib1.bib121"><label>121</label><mixed-citation>Santer, B. D., Bonfils, C., Painter, J. F., Zelinka, M. D., Mears, C., Solomon,
S., Schmidt, G. A., Fyfe, J. C., Cole, J. N. S., Nazarenko, L., Taylor, K. E.,
and Wentz, F. J.: Volcanic contribution to decadal changes in tropospheric
temperature, Nat. Geosci., 7, 185–189, <ext-link xlink:href="https://doi.org/10.1038/ngeo2098" ext-link-type="DOI">10.1038/ngeo2098</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib122"><label>122</label><mixed-citation>Santer, B. D., Solomon, S.; Bonfils, C., Zelinka, M. D., Painter, J. F.,
Beltran, F., Fyfe, C., Johannesson, G., Mears, C., Ridley, D. A., Vernier, J.-P.,
and Wentz, F. J.: Observed multivariable signals of late 20th and early
21st century volcanic activity, Geophys. Res. Lett., 42, 500–509, <ext-link xlink:href="https://doi.org/10.1002/2014GL062366" ext-link-type="DOI">10.1002/2014GL062366</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib123"><label>123</label><mixed-citation>Schulz, M., Textor, C., Kinne, S., Balkanski, Y., Bauer, S., Berntsen, T.,
Berglen, T., Boucher, O., Dentener, F., Guibert, S., Isaksen, I. S. A., Iversen,
T., Koch, D., Kirkevåg, A., Liu, X., Montanaro, V., Myhre, G., Penner, J. E.,
Pitari, G., Reddy, S., Seland, Ø., Stier, P., and Takemura, T.: Radiative
forcing by aerosols as derived from the AeroCom present-day and pre-industrial
simulations, Atmos. Chem. Phys., 6, 5225–5246, <ext-link xlink:href="https://doi.org/10.5194/acp-6-5225-2006" ext-link-type="DOI">10.5194/acp-6-5225-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib124"><label>124</label><mixed-citation>
Self, S. and King, A. J.: Petrology and sulfur and chlorine emissions of the
1963 eruption of Gunung Agung, Bali, Indonesia, Bull. Volcanol., 58, 263–285, 1996.</mixed-citation></ref>
      <ref id="bib1.bib125"><label>125</label><mixed-citation>Sheng, J.-X., Weisenstein, D. K., Luo, B.-P., Rozanov, E., Stenke, A., Anet,
J., Bingemer, H., and Peter, T.: Global atmospheric sulfur budget under
volcanically quiescent conditions: aerosol–chemistry–climate model predictions
and validation, J. Geophys. Res.-Atmos., 120, 256–276, <ext-link xlink:href="https://doi.org/10.1002/2014JD021985" ext-link-type="DOI">10.1002/2014JD021985</ext-link>, 2015a.</mixed-citation></ref>
      <ref id="bib1.bib126"><label>126</label><mixed-citation>Sheng, J.-X., Weisenstein, D. K., Luo, B.-P., Rozanov, E., Arfeuille, F., and
Peter, T.: A perturbed parameter model ensemble to investigate 1991 Mt Pinatubo's
initial sulfur mass emission, Atmos. Chem. Phys., 15, 11501–11512, <ext-link xlink:href="https://doi.org/10.5194/acp-15-11501-2015" ext-link-type="DOI">10.5194/acp-15-11501-2015</ext-link>, 2015b.</mixed-citation></ref>
      <ref id="bib1.bib127"><label>127</label><mixed-citation>Sigl, M., Winstrup, M., McConnell, J. R., Welten, K. C., Plunkett, G., Ludlow,
F., Büntgen, U., Caffee, M., Chellman, N., Dahl-Jensen, D., Fischer, H.,
Kipfstuhl, S., Kostick, C., Maselli, O. J., Mekhaldi, F., Mulvaney, R., Muscheler,
R., Pasteris, D. R., Pilcher, J. R., Salzer, M., Schüpbach, S., Steffensen,
J. P., Vinther, B. M., and Woodruff, T. E.: Timing and climate forcing of
volcanic eruptions for the past 2,500 years, Nature, 523, 543–549, <ext-link xlink:href="https://doi.org/10.1038/nature14565" ext-link-type="DOI">10.1038/nature14565</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib128"><label>128</label><mixed-citation>
Solomon, S., Daniel, J. S., Neely III, R. R., Vernier, J. P., Dutton, E. G.,
and Thomason, L. W.: The Persistently Variable “Background” Stratospheric
Aerosol Layer and Global Climate Change, Science, 333, 866–870, 2011.</mixed-citation></ref>
      <ref id="bib1.bib129"><label>129</label><mixed-citation>Solomon S., Ivy, D. J., Kinnison, D., Mills, M. J., Neely III, R. R., and
Schmidt, A.: Emergence of healing in the Antarctic ozone layer, Science, 353,
269–274, <ext-link xlink:href="https://doi.org/10.1126/science.aae0061" ext-link-type="DOI">10.1126/science.aae0061</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib130"><label>130</label><mixed-citation>
SPARC: Assessment of Stratospheric Aerosol Properties (ASAP), in: SPARC Report
No. 4, edited by: Thomason, L. and Peter, T., World Climate Research Programme
WCRP-124, WMO/TD No. 1295, WMO, 2006.</mixed-citation></ref>
      <ref id="bib1.bib131"><label>131</label><mixed-citation>
Stevens, T. D., Haris, P. A. T., Rau, Y.-C., and Philbrick, C. R.: Latitudinal
lidar mapping of stratospheric particle layers, Adv. Space Res., 14, 193–198, 1994.</mixed-citation></ref>
      <ref id="bib1.bib132"><label>132</label><mixed-citation>Stoffel, M., Khodri, M., Corona, C., Guillet, S., Poulain, V., Bekki, S., Guiot,
J., Luckman, B. H., Oppenheimer, C., Lebas, N., Beniston, M., and Masson-Delmotte,
V.: Estimates of volcanic- induced cooling in the Northern Hemisphere over the
past 1,500 years, Nat. Geosci., 8, 784–788, <ext-link xlink:href="https://doi.org/10.1038/ngeo2526" ext-link-type="DOI">10.1038/ngeo2526</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib133"><label>133</label><mixed-citation>Stothers, R. B.: Major optical depth perturbations to the stratosphere from
volcanic eruptions: Pyrheliometric period, 1881–1960, J. Geophys. Res., 101,
3901–3920, <ext-link xlink:href="https://doi.org/10.1029/95JD03237" ext-link-type="DOI">10.1029/95JD03237</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib134"><label>134</label><mixed-citation>Stothers, R. B.: Stratospheric aerosol clouds due to very large volcanic
eruptions of the early twentieth century: Effective particle sizes and
conversion from pyrheliometric to visual optical depth, J. Geophys. Res.,
102, 6143–6151, <ext-link xlink:href="https://doi.org/10.1029/96JD03985" ext-link-type="DOI">10.1029/96JD03985</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib135"><label>135</label><mixed-citation>Stothers, R. B.: Major optical depth perturbations to the stratosphere from
volcanic eruptions: Stellar extinction period, 1961–1978, J. Geophys. Res.,
106, 2993–3003, <ext-link xlink:href="https://doi.org/10.1029/2000JD900652" ext-link-type="DOI">10.1029/2000JD900652</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib136"><label>136</label><mixed-citation>Stothers, R. B.: Cloudy and clear stratospheres before A.D. 1000 inferred from
written sources, J. Geophys. Res., 107, 4718, <ext-link xlink:href="https://doi.org/10.1029/2002JD002105" ext-link-type="DOI">10.1029/2002JD002105</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib137"><label>137</label><mixed-citation>Stothers, R. B. and Rampino, M. R.: Volcanic eruptions in the Mediterranean
before A.D. 630 from written and archaeological sources, J. Geophys. Res., 88,
6357, <ext-link xlink:href="https://doi.org/10.1029/JB088iB08p06357" ext-link-type="DOI">10.1029/JB088iB08p06357</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bib138"><label>138</label><mixed-citation>Swingedouw, D., Mignot, J., Ortega, P., Khodri, M., Menegoz, M., Cassou, C.,
and Hanquiez, V.: Impact of explosive volcanic eruptions on the main climate
variability modes, Global Planet. Change, 150, 24–45, <ext-link xlink:href="https://doi.org/10.1016/j.gloplacha.2017.01.006" ext-link-type="DOI">10.1016/j.gloplacha.2017.01.006</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib139"><label>139</label><mixed-citation>Taha, G., Rault, D. F., Loughman, R. P., Bourassa, A. E., and von Savigny, C.:
SCIAMACHY stratospheric aerosol extinction profile retrieval using the OMPS/LP
algorithm, Atmos. Meas. Tech., 4, 547–556, <ext-link xlink:href="https://doi.org/10.5194/amt-4-547-2011" ext-link-type="DOI">10.5194/amt-4-547-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib140"><label>140</label><mixed-citation>Telford, P. J., Braesicke, P., Morgenstern, O., and Pyle, J. A.: Technical Note:
Description and assessment of a nudged version of the new dynamics Unified Model,
Atmos. Chem. Phys., 8, 1701–1712, <ext-link xlink:href="https://doi.org/10.5194/acp-8-1701-2008" ext-link-type="DOI">10.5194/acp-8-1701-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib141"><label>141</label><mixed-citation>Thomason, L. W. and Vernier, J.-P.: Improved SAGE II cloud/aerosol categorization
and observations of the Asian tropopause aerosol layer: 1989–2005, Atmos. Chem.
Phys., 13, 4605–4616, <ext-link xlink:href="https://doi.org/10.5194/acp-13-4605-2013" ext-link-type="DOI">10.5194/acp-13-4605-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib142"><label>142</label><mixed-citation>Thomason, L. W., Burton, S. P., Luo, B.-P., and Peter, T.: SAGE II measurements
of stratospheric aerosol properties at non-volcanic levels, Atmos. Chem. Phys.,
8, 983–995, <ext-link xlink:href="https://doi.org/10.5194/acp-8-983-2008" ext-link-type="DOI">10.5194/acp-8-983-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib143"><label>143</label><mixed-citation>Tilmes, S., Mills, M. J., Niemeier, U., Schmidt, H., Robock, A., Kravitz, B.,
Lamarque, J.-F., Pitari, G., and English, J. M.: A<?pagebreak page2607?> new Geoengineering Model
Intercomparison Project (GeoMIP) experiment designed for climate and chemistry
models, Geosci. Model Dev., 8, 43–49, <ext-link xlink:href="https://doi.org/10.5194/gmd-8-43-2015" ext-link-type="DOI">10.5194/gmd-8-43-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib144"><label>144</label><mixed-citation>Timmreck, C.: Modeling the climatic effects of large explosive volcanic eruptions,
Wiley Interdisciplin. Rev.: Clim. Change, 3, 545–564, <ext-link xlink:href="https://doi.org/10.1002/wcc.192" ext-link-type="DOI">10.1002/wcc.192</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib145"><label>145</label><mixed-citation>Timmreck, C., Graf, H.-F., and Feichter, J.: Simulation of Mt. Pinatubo volcanic
aerosol with the Hamburg Climate Model ECHAM4, Theor. Appl. Climatol., 62,
85–108, <ext-link xlink:href="https://doi.org/10.1007/s007040050076" ext-link-type="DOI">10.1007/s007040050076</ext-link>, 1999a.</mixed-citation></ref>
      <ref id="bib1.bib146"><label>146</label><mixed-citation>
Timmreck, C., Graf, H.-F., and Kirchner, I.: A one and a half year interactive
simulation of Mt. Pinatubo aerosol, J. Geophys. Res., 104, 9337–9360, 1999b.</mixed-citation></ref>
      <ref id="bib1.bib147"><label>147</label><mixed-citation>
Timmreck, C., Graf, H.-F., and Steil, B.: Aerosol chemistry interactions after
the Mt. Pinatubo eruption, in: Volcanism and the Earth's Atmosphere, edited by:
Robock, A. and Oppenheimer, C., AGU Monogr., 139, 214–225, 2003.</mixed-citation></ref>
      <ref id="bib1.bib148"><label>148</label><mixed-citation>Timmreck, C., Graf, H. F., Lorenz, S. J., Niemeier, U., Zanchettin, D., Matei,
D., Jungclaus, J. H., and Crowley, T. J.: Aerosol size confines climate response
to volcanic super-eruptions, Geophys. Res. Lett., 37, L24705, <ext-link xlink:href="https://doi.org/10.1029/2010GL045464" ext-link-type="DOI">10.1029/2010GL045464</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib149"><label>149</label><mixed-citation>Toohey, M., Krüger, K., Niemeier, U., and Timmreck, C.: The influence of
eruption season on the global aerosol evolution and radiative impact of tropical
volcanic eruptions, Atmos. Chem. Phys., 11, 12351–12367, <ext-link xlink:href="https://doi.org/10.5194/acp-11-12351-2011" ext-link-type="DOI">10.5194/acp-11-12351-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib150"><label>150</label><mixed-citation>Toohey, M., Krüger, K., and Timmreck, C.: Volcanic sulfate deposition to
Greenland and Antarctica: A modeling sensitivity study, J. Geophys. Res.-Atmos.,
118, 4788–4800, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50428" ext-link-type="DOI">10.1002/jgrd.50428</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib151"><label>151</label><mixed-citation>Toohey, M., Krüger, K., Bittner, M., Timmreck, C., and Schmidt, H.: The
impact of volcanic aerosol on the Northern Hemisphere stratospheric polar
vortex: mechanisms and sensitivity to forcing structure, Atmos. Chem. Phys.,
14, 13063–13079, <ext-link xlink:href="https://doi.org/10.5194/acp-14-13063-2014" ext-link-type="DOI">10.5194/acp-14-13063-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib152"><label>152</label><mixed-citation>Toohey, M., Krüger, K., Sigl, M., Stordal, F., and Svensen, H.: Climatic
and societal impacts of a volcanic double event at the dawn of the Middle Ages,
Climatic Change, 136, 401–412, <ext-link xlink:href="https://doi.org/10.1007/s10584-016-1648-7" ext-link-type="DOI">10.1007/s10584-016-1648-7</ext-link>, 2016a.</mixed-citation></ref>
      <ref id="bib1.bib153"><label>153</label><mixed-citation>Toohey, M., Stevens, B., Schmidt, H., and Timmreck, C.: Easy Volcanic Aerosol
(EVA v1.0): an idealized forcing generator for climate simulations, Geosci.
Model Dev., 9, 4049–4070, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-4049-2016" ext-link-type="DOI">10.5194/gmd-9-4049-2016</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bib154"><label>154</label><mixed-citation>
Trepte C. R. and Hitchman, M. H.: Tropical stratospheric circulation deduced
from satellite aerosol data, Nature, 355, 626–628, 1992.</mixed-citation></ref>
      <ref id="bib1.bib155"><label>155</label><mixed-citation>Vanhellemont, F., Fussen, D., Mateshvili, N., Tétard, C., Bingen, C.,
Dekemper, E., Loodts, N., Kyrölä, E., Sofieva, V., Tamminen, J.,
Hauchecorne, A., Bertaux, J.-L., Dalaudier, F., Blanot, L., Fanton d'Andon, O.,
Barrot, G., Guirlet, M., Fehr, T., and Saavedra, L.: Optical extinction by upper
tropospheric/stratospheric aerosols and clouds: GOMOS observations for the
period 2002–2008, Atmos. Chem. Phys., 10, 7997–8009, <ext-link xlink:href="https://doi.org/10.5194/acp-10-7997-2010" ext-link-type="DOI">10.5194/acp-10-7997-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib156"><label>156</label><mixed-citation>Vehkamäki, H., Kulmala, M., Napari, I., Lehtinen, K. E. J., Timmreck, C.,
Noppel, M., and Laaksonen, A.: An improved parameterization for sulfuric
acid-water nucleation rates for tropospheric and stratospheric conditions,
J. Geophys. Res., 107, AAC3.1–AAC3.10, <ext-link xlink:href="https://doi.org/10.1029/2002JD002184" ext-link-type="DOI">10.1029/2002JD002184</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib157"><label>157</label><mixed-citation>Vernier, J. P., Pommereau, J. P., Garnier, A., Pelon, J., Larsen, N., Nielsen,
J., Christensen, T., Cairo, F., Thomason, L. W., Leblanc, T., and McDermid, I.
S.: Tropical stratospheric aerosol layer from CALIPSO lidar observations, J.
Geophys. Res., 114, D00H10, <ext-link xlink:href="https://doi.org/10.1029/2009JD011946" ext-link-type="DOI">10.1029/2009JD011946</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib158"><label>158</label><mixed-citation>Vernier, J.-P., Thomason, L. W., and Kar, J.: CALIPSO detection of an Asian
tropopause aerosol layer, Geophys. Res. Lett., 38, L07804, <ext-link xlink:href="https://doi.org/10.1029/2010GL046614" ext-link-type="DOI">10.1029/2010GL046614</ext-link>, 2011a.</mixed-citation></ref>
      <ref id="bib1.bib159"><label>159</label><mixed-citation>Vernier, J.-P., Thomason, L. W., Pommereau, J.-P., Bourassa, A., Pelon, J.,
Garnier, A., Hauchecorne, A., Blanot, L., Trepte, C., Degenstein, D., and
Vargas, F.: Major influence of tropical volcanic eruptions on the stratospheric
aerosol layer during the last decade, Geophys. Res. Lett., 38, L12807,
<ext-link xlink:href="https://doi.org/10.1029/2011GL047563" ext-link-type="DOI">10.1029/2011GL047563</ext-link>, 2011b.</mixed-citation></ref>
      <ref id="bib1.bib160"><label>160</label><mixed-citation>Visioni, D., Pitari, G., and Aquila, V.: Sulfate geoengineering: a review of
the factors controlling the needed injection of sulfur dioxide, Atmos. Chem.
Phys., 17, 3879–3889, <ext-link xlink:href="https://doi.org/10.5194/acp-17-3879-2017" ext-link-type="DOI">10.5194/acp-17-3879-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib161"><label>161</label><mixed-citation>Visioni, D., Pitari, G., Tuccella, P., and Curci, G.: Sulfur deposition changes
under sulfate geoengineering conditions: quasi-biennial oscillation effects on
the transport and lifetime of stratospheric aerosols, Atmos. Chem. Phys., 18,
2787–2808, <ext-link xlink:href="https://doi.org/10.5194/acp-18-2787-2018" ext-link-type="DOI">10.5194/acp-18-2787-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib162"><label>162</label><mixed-citation>
Volz, F. E.: Twilight phenomena caused by the eruption of Agung volcano, Science,
144, 1121–1122, 1964.</mixed-citation></ref>
      <ref id="bib1.bib163"><label>163</label><mixed-citation>
Volz, F. E.: Note on the global variation of stratospheric turbidity since the
eruption of Agung volcano, Tellus, 17, 513–515, 1965.</mixed-citation></ref>
      <ref id="bib1.bib164"><label>164</label><mixed-citation>
Volz, F. E.: Atmospheric Turbidity after the Agung Eruption of 1963 and Size
Distribution of the Volcanic Aerosol, J. Geophys. Res., 75, 5185–5193, 1970.</mixed-citation></ref>
      <ref id="bib1.bib165"><label>165</label><mixed-citation>von Savigny, C., Ernst, F., Rozanov, A., Hommel, R., Eichmann, K.-U., Rozanov,
V., Burrows, J. P., and Thomason, L. W.: Improved stratospheric aerosol
extinction profiles from SCIAMACHY: validation and sample results, Atmos. Meas.
Tech., 8, 5223–5235, <ext-link xlink:href="https://doi.org/10.5194/amt-8-5223-2015" ext-link-type="DOI">10.5194/amt-8-5223-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib166"><label>166</label><mixed-citation>Weisenstein, D. K., Penner, J. E., Herzog, M., and Liu, X.: Global 2-D
intercomparison of sectional and modal aerosol modules, Atmos. Chem. Phys.,
7, 2339–2355, <ext-link xlink:href="https://doi.org/10.5194/acp-7-2339-2007" ext-link-type="DOI">10.5194/acp-7-2339-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib167"><label>167</label><mixed-citation>
Wilson, J. C., Jonsson, H. H., Brock, C. A., Toohey, D. W., Avallone, L. M.,
Baumgardner, D., Dye, J. E., Poole, L. R., Woods, D. C., DeCoursey, R. J.,
Osborn, M., Pitts, M. C., Kelly, K. K., Chan, K. R., Ferry, G. V., Loewenstein,
M., Podolske, J. R., and Weaver, A.: In situ observations of aerosol and chlorine
monoxide after the 1991 eruption of Mount Pinatubo: effect of reactions on
sulfate aerosol, Science, 261, 1140–1143, 1993.</mixed-citation></ref>
      <ref id="bib1.bib168"><label>168</label><mixed-citation>Wilson, J. C., Lee, S.-H., Reeves, J. M., Brock, C. A., Jonsson, H. H., Lafleur,
B. G., Loewenstein, M., Podolske, J., Atlas, E., Boering, K., Toon, G., Fahey,
D., Bui, T. P., Diskin, G., and Moore, F.: Steady-state aerosol distributions
in the extra-tropical, lower stratosphere and the processes that maintain them,
Atmos. Chem. Phys., 8, 6617–6626, <ext-link xlink:href="https://doi.org/10.5194/acp-8-6617-2008" ext-link-type="DOI">10.5194/acp-8-6617-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib169"><label>169</label><mixed-citation>
WMO – World Meteorological Organization/UNEP – United Nations Environment
Programme: Scientific Assessment of Ozone Depletion: 2006, World Meteorological
Organization, Global<?pagebreak page2608?> Ozone Research and Monitoring Project, Report No. 50, Geneva, Switzerland, 2007.</mixed-citation></ref>
      <ref id="bib1.bib170"><label>170</label><mixed-citation>
Young, R. E., Houben, H., and Toon, O. B.: Radiatively forced dispersion of
the Mt. Pinatubo volcanic cloud and induced temperature perturbations in the
stratosphere during the first few months following the eruption, Geophys. Res.
Lett., 21, 369–372, 1994.</mixed-citation></ref>
      <ref id="bib1.bib171"><label>171</label><mixed-citation>
Young, S. A., Manson, P. J., and Patterson, G. R.: Southern Hemisphere Lidar
measurements of the Aerosol Clouds from Mt Pinatubo and Mt Hudson, Extended
Abstracts of the 16th International Laser Radar Conference, July 1992, MIT,
Cambridge, Massachusetts, 1994.</mixed-citation></ref>
      <ref id="bib1.bib172"><label>172</label><mixed-citation>Yorks, J. E., Palm, S. P., McGill, M. J., Hlavka, D. L., Hart, W. D., Selmer,
P. A., and Nowottnick, E. P.: CATS Algorithm Theoretical Basis Document,
1st Edn., NASA, Goddard Space Flight Center, Greenbelt, MD, 2015.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib173"><label>173</label><mixed-citation>Yu, P., Toon, O. B., Neely, R. R., Martinsson, B. G., and Brenninkmeijer, C.
A. M.: Composition and physical properties of the Asian Tropopause Aerosol
Layer and the North American Tropospheric Aerosol Layer, Geophys. Res. Lett.,
42, 2540–2546, <ext-link xlink:href="https://doi.org/10.1002/2015GL063181" ext-link-type="DOI">10.1002/2015GL063181</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib174"><label>174</label><mixed-citation>Zanchettin, D., Timmreck, C., Graf, H.-F., Rubino, A., Lorenz, S., Lohmann, K.,
Krueger, K., and Jungclaus, J. H.: Bi-decadal variability excited in the coupled
ocean–atmosphere system by strong tropical volcanic eruptions, Clim. Dynam.,
39, 419–444, <ext-link xlink:href="https://doi.org/10.1007/s00382-011-1167-1" ext-link-type="DOI">10.1007/s00382-011-1167-1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib175"><label>175</label><mixed-citation>Zanchettin, D., Khodri, M., Timmreck, C., Toohey, M., Schmidt, A., Gerber, E.
P., Hegerl, G., Robock, A., Pausata, F. S. R., Ball, W. T., Bauer, S. E., Bekki,
S., Dhomse, S. S., LeGrande, A. N., Mann, G. W., Marshall, L., Mills, M.,
Marchand, M., Niemeier, U., Poulain, V., Rozanov, E., Rubino, A., Stenke, A.,
Tsigaridis, K., and Tummon, F.: The Model Intercomparison Project on the climatic
response to Volcanic forcing (VolMIP): experimental design and forcing input
data for CMIP6, Geosci. Model Dev., 9, 2701–2719, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-2701-2016" ext-link-type="DOI">10.5194/gmd-9-2701-2016</ext-link>, 2016.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>The Interactive Stratospheric Aerosol Model Intercomparison Project (ISA-MIP): motivation and experimental design</article-title-html>
<abstract-html><p>The Stratospheric Sulfur and its Role in Climate (SSiRC)
Interactive Stratospheric Aerosol Model Intercomparison Project (ISA-MIP)
explores uncertainties in the processes that connect volcanic emission of
sulfur gas species and the radiative forcing associated with the resulting
enhancement of the stratospheric aerosol layer. The central aim of ISA-MIP
is to constrain and improve interactive stratospheric aerosol models and
reduce uncertainties in the stratospheric aerosol forcing by comparing
results of standardized model experiments with a range of observations. In
this paper we present four co-ordinated inter-model experiments designed to
investigate key processes which influence the formation and temporal
development of stratospheric aerosol in different time periods of the
observational record. The Background (BG) experiment will focus on
microphysics and transport processes under volcanically quiescent
conditions, when the stratospheric aerosol is controlled by the transport of
aerosols and their precursors from the troposphere to the stratosphere. The
Transient Aerosol Record (TAR) experiment will explore the role of
small- to moderate-magnitude volcanic eruptions, anthropogenic sulfur
emissions, and transport processes over the period 1998–2012 and their role
in the warming hiatus. Two further experiments will investigate the
stratospheric sulfate aerosol evolution after major volcanic eruptions. The
Historical Eruptions SO<sub>2</sub> Emission Assessment (HErSEA) experiment
will focus on the uncertainty in the initial emission of recent
large-magnitude volcanic eruptions, while the Pinatubo Emulation in
Multiple models (PoEMS) experiment will provide a comprehensive
uncertainty analysis of the radiative forcing from the 1991 Mt Pinatubo eruption.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Andres, R. J. and Kasgnoc, A. D.: A time-averaged inventory of subaerial
volcanic sulfur emissions, J. Geophys. Res., 103, 25251–25261, 1998.
</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>
Aquila, V., Oman, L. D., Stolarski, R. S., Colarco, P. R., and Newman, P. A.:
Dispersion of the volcanic sulfate cloud from a Mount Pinatubo-like eruption,
J. Geophys. Res.-Atmos., 117, D06216, <a href="https://doi.org/10.1029/2011JD016968" target="_blank">https://doi.org/10.1029/2011JD016968</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Aquila, V., Oman, L. D., Stolarski, R., Douglass, A. R., and Newman, P. A.:
The Response of Ozone and Nitrogen Dioxide to the Eruption of Mt. Pinatubo at
Southern and Northern Midlatitudes, J. Atmos. Sci., 70, 894–900,
<a href="https://doi.org/10.1175/JAS-D-12-0143.1" target="_blank">https://doi.org/10.1175/JAS-D-12-0143.1</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Aquila, V., Garfinkel, C. I., Newman, P., Oman, L. D., and Waugh, D. W.:
Modifications of the quasi-biennial oscillation by a geoengineering perturbation
of the stratospheric aerosol layer, Geophys. Res. Lett., 41, 1738–1744,
<a href="https://doi.org/10.1002/2013GL058818" target="_blank">https://doi.org/10.1002/2013GL058818</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Avdyushin, S. I. Tulinov, G. F., Ivanov, M. S., Kuzmenko, B. N., Mezhue, I. R.,
Nardi, B., Hauchecorne, I. A., and Chanin, M.-L.: 1. Spatial and temporal
evolution of the optical thickness of the Pinatubo aerosol clouds in the Northern
Hemisphere from a network of ship-borne and stationary lidars, Geophys. Res.
Lett., 20, 1963–1966, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Baran, A. J. and Foot, J. S.: New application of the operational sounder HIRS
in determining a climatology of sulphuric acid aerosol from the Pinatubo eruption,
J. Geophys. Res., 99, 673–679, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Bekki, S.: Oxidation of volcanic SO<sub>2</sub>: a sink for stratospheric OH and
H<sub>2</sub>O, Geophys. Res. Lett., 22, 913–916, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Bekki, S., Pyle, J. A., Zhong, W., Tourni, R., Haigh, J. D., and Pyle, D. M.:
The role of microphysical and chemical processes in prolonging the climate
forcing of the Toba Eruption, Geophys. Res. Lett., 23, 2669–2672, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Bingen, C., Robert, C. E., Stebel, K., Brühl, C., Schallock, J., Vanhellemont,
F., Mateshvili, N., Höpfner, M., Trickl, T., Barnes, J. E., Jumelet, J.,
Vernier, J.-P., Popp, T., de Leeuw, G., and Pinnock, S.: Stratospheric aerosol
data records for the climate change initiative: Development, validation and
application to chemistry-climate modelling, Remote Sens. Environ., 203, 296–321,
<a href="https://doi.org/10.1016/j.rse.2017.06.002" target="_blank">https://doi.org/10.1016/j.rse.2017.06.002</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Bittner, M., Timmreck, C., H. Schmidt, H., Toohey, M., and Krüger, K.: The
impact of wave-mean flow interaction on the Northern Hemisphere polar vortex
after tropical volcanic eruptions, J. Geophys. Res.-Atmos., 121, 5281–5297,
<a href="https://doi.org/10.1002/2015JD024603" target="_blank">https://doi.org/10.1002/2015JD024603</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Bourassa, A. E., Degenstein, D. A., Gattinger, R. L., and Llewellyn, E. J.:
Stratospheric aerosol retrieval with OSIRIS limb scatter measurements, J.
Geophys. Res., 112, D10217, <a href="https://doi.org/10.1029/2006JD008079" target="_blank">https://doi.org/10.1029/2006JD008079</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Bourassa, A. E., Robock, A., Randel, W. J., Deshler, T., Rieger, L. A., Lloyd,
N. D., Llewellyn, E. J. T., and Degenstein, D. A.: Large volcanic aerosol load
in the stratosphere linked to Asian monsoon transport, Science, 337, 78–81,
<a href="https://doi.org/10.1126/science.1219371" target="_blank">https://doi.org/10.1126/science.1219371</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Bovensmann, H. Burrows, J. P., Buchwitz, M., Frerick, J., Noël, S., Rozanov,
V. V., Chance, K. V., and Goede, A. P. H.: SCIAMACHY: Mission Objectives and
Measurement Modes, J. Atmos. Sci., 56, 127–150, <a href="https://doi.org/10.1175/1520-0469(1999)056&lt;0127:SMOAMM&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1999)056&lt;0127:SMOAMM&gt;2.0.CO;2</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Brock, C. A., Jonsson, H. H., Wilson, J. C., Dye, J. E., Baumgardner, D.,
Borrmann, S., Pitts, M. C., Osborn, M. T., DeCoursey, R. J., and  Woods, D. C:
Relationships between optical extinction, backscatter and aerosol surface and
volume in the stratosphere following the eruption of Mt. Pinatubo, Geophys. Res.
Lett., 20, 2555–2558, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Browell, E. V., Butler, C. F., Fenn, M. A., Grant, W. B., Ismail, S., Schoeberl,
M. R., Toon, O. B., Loewenstein, M., and Podolske, J. R.: Ozone and Aerosol
Changes During the 1991–2 Airborne Arctic Stratospheric Expedition, Science,
261, 1151–1158, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Brühl, C.: Volcanic SO<sub>2</sub> data derived from limb viewing satellites
for the lower stratosphere from 1998 to 2012, World Data Center for Climate (WDCC)
at DKRZ, <a href="https://doi.org/10.1594/WDCC/SSIRC_1" target="_blank">https://doi.org/10.1594/WDCC/SSIRC_1</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Brühl, C., Lelieveld, J., Crutzen, P. J., and Tost, H.: The role of carbonyl
sulphide as a source of stratospheric sulphate aerosol and its impact on climate,
Atmos. Chem. Phys., 12, 1239–1253, <a href="https://doi.org/10.5194/acp-12-1239-2012" target="_blank">https://doi.org/10.5194/acp-12-1239-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Brühl, C., Lelieveld, J., Tost, H., Höpfner, M., and Glatthor, N.:
Stratospheric sulphur and its implications for radiative forcing simulated by
the chemistry climate model EMAC, J. Geophys. Res.-Atmos., 120, 2103–2118,
<a href="https://doi.org/10.1002/2014JD022430" target="_blank">https://doi.org/10.1002/2014JD022430</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Carslaw, K., Lee, L., Reddington, C., Pringle, K., Rap, A., Forster, P., Mann,
G., Spracklen, D., Woodhouse, M., and Regayre, L.: Large contribution of natural
aerosols to uncertainty in indirect forcing, Nature, 503, 67–71, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Carn, S. A., Clarisse, L., and Prata, A. J.: Multi-decadal satellite measurements
of global volcanic degassing, J. Volcanol. Geoth. Res., 311, 99–134, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Charlton-Perez, A. J., Baldwin, M. P., Birner, T., Black, R. X., Butler, A. H.,
Calvo, N., Davis, N. A., Gerber, E. P., Gillett, N., Hardiman, S., Kim, J.,
Krüger, K., Lee, Y.-Y., Manzini, E., McDaniel, B. A., Polvani, L., Reichler,
T., Shaw, T. A., Sigmond, M., Son, S.-W., Toohey, M., Wilcox, L., Yoden, S.,
Christiansen, B., Lott, F., Shindell, D., Yukimoto, S., and Watanabe, S.: On
the lack of stratospheric dynamical variability in low-top versions of the CMIP5
models, J. Geophys. Res.-Atmos., 118, 2494–2505, <a href="https://doi.org/10.1002/jgrd.50125" target="_blank">https://doi.org/10.1002/jgrd.50125</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Clemesha, B. R., Kent, G. S., and Wright, R. W. H,: Laser probing the lower
atmosphere, Nature, 209, 184–185, 1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Collins, W. J., Lamarque, J.-F., Schulz, M., Boucher, O., Eyring, V., Hegglin,
M. I., Maycock, A., Myhre, G., Prather, M., Shindell, D., and Smith, S. J.:
AerChemMIP: quantifying the effects of chemistry and aerosols in CMIP6, Geosci.
Model Dev., 10, 585–607, <a href="https://doi.org/10.5194/gmd-10-585-2017" target="_blank">https://doi.org/10.5194/gmd-10-585-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Crowley, T. J. and Unterman, M. B.: Technical details concerning development of
a 1200&thinsp;yr proxy index for global volcanism, Earth Syst. Sci. Data, 5, 187–197,
<a href="https://doi.org/10.5194/essd-5-187-2013" target="_blank">https://doi.org/10.5194/essd-5-187-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Dee, D. P., Uppala, S. M., Simmons, A. J., Berrisford, P., Poli, P., Kobayashi,
S., Andrae, U., Balmaseda, M. A., Balsamo, G., Bauer, P., Bechtold, P., Beljaars,
A. C. M., van de Berg, L., Bidlot, J., Bormann, N., Delsol, C., Dragani, R.,
Fuentes, M., Geer, A. J., Haimberger, L., Healy, S. B., Hersbach, H., Holm, E.
V., Isaksen, L., Kallberg, P., Kohler, M., Matricardi, M., McNally, A. P.,
Monge-Sanz, B. M., Morcrette, J. J., Park, B. K., Peubey, C., de Rosnay, P.,
Tavolato, C., Thepaut, J. N., and Vitart, F.: The ERA-Interim reanalysis:
Configuration and performance of the data assimilation system, Q. J. Roy.
Meteorol. Soc., 137, 553–597, <a href="https://doi.org/10.1002/qj.828" target="_blank">https://doi.org/10.1002/qj.828</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Dentener, F., Kinne, S., Bond, T., Boucher, O., Cofala, J., Generoso, S.,
Ginoux, P., Gong, S., Hoelzemann, J. J., Ito, A., Marelli, L., Penner, J. E.,
Putaud, J.-P., Textor, C., Schulz, M., van der Werf, G. R., and Wilson, J.:
Emissions of primary aerosol and precursor gases in the years 2000 and 1750
prescribed data-sets for AeroCom, Atmos. Chem. Phys., 6, 4321–4344,
<a href="https://doi.org/10.5194/acp-6-4321-2006" target="_blank">https://doi.org/10.5194/acp-6-4321-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Deshler, T.: In situ measurements of Pinatubo aerosol over Kiruna on four days
between 18 January and 13 February 1992, Geophys. Res. Lett., 21, 1323–1326, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Deshler, T.: A review of global stratospheric aerosol: measurements, importance,
life cycle, and local stratospheric aerosol, Atmos. Res., 90, 223–232,
<a href="https://doi.org/10.1016/j.atmosres.2008.03.016" target="_blank">https://doi.org/10.1016/j.atmosres.2008.03.016</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Deshler, T., Hervig, M. E., Hofmann, D. J., Rosen, J. M., and Liley, J. B.:
Thirty years of in situ stratospheric aerosol size distribution measurements
from Laramie, Wyoming (41°&thinsp;N), using balloon-borne instruments, J.
Geophys. Res.-Atmos., 108, 4167, <a href="https://doi.org/10.1029/2002JD002514" target="_blank">https://doi.org/10.1029/2002JD002514</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Dhomse, S. S., Emmerson, K. M., Mann, G. W., Bellouin, N., Carslaw, K. S.,
Chipperfield, M. P., Hommel, R., Abraham, N. L., Telford, P., Braesicke, P.,
Dalvi, M., Johnson, C. E., O'Connor, F., Morgenstern, O., Pyle, J. A., Deshler,
T., Zawodny, J. M., and Thomason, L. W.: Aerosol microphysics simulations of
the Mt. Pinatubo eruption with the UM-UKCA composition-climate model, Atmos.
Chem. Phys., 14, 11221–11246, <a href="https://doi.org/10.5194/acp-14-11221-2014" target="_blank">https://doi.org/10.5194/acp-14-11221-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Diallo, M., Ploeger, F., Konopka, P., Birner, T., Müller, R., Riese, M.,
and Jegou, F.: Significant Contributions of Volcanic Aerosols to Decadal Changes
in the Stratospheric Circulation, Geophys. Res. Lett., 44, 10780, <a href="https://doi.org/10.1002/2017GL074662" target="_blank">https://doi.org/10.1002/2017GL074662</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Diehl, T., Heil, A., Chin, M., Pan, X., Streets, D., Schultz, M., and Kinne,
S.: Anthropogenic, biomass burning, and volcanic emissions of black carbon,
organic carbon, and SO<sub>2</sub> from 1980 to 2010 for hindcast model experiments,
Atmos. Chem. Phys. Discuss., 12, 24895–24954, <a href="https://doi.org/10.5194/acpd-12-24895-2012" target="_blank">https://doi.org/10.5194/acpd-12-24895-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Dyer, A. J. and Hicks, B. B.: Stratospheric transport of volcanic dust inferred
from surface radiation measurements, Nature, 208, 131–133, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Dyer, A. J. and Hicks, B. B.: Global spread of volcanic dust from the Bali
eruption of 1963, Q. J. Roy. Meteorol. Soc., 94, 545–554, 1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Ebert, M., Weigel, R., Kandler, K., Günther, G., Molleker, S., Grooß,
J.-U., Vogel, B., Weinbruch, S., and Borrmann, S.: Chemical analysis of
refractory stratospheric aerosol particles collected within the arctic vortex
and inside polar stratospheric clouds, Atmos. Chem. Phys., 16, 8405–8421,
<a href="https://doi.org/10.5194/acp-16-8405-2016" target="_blank">https://doi.org/10.5194/acp-16-8405-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Elterman, L. Wexler, R., and Chang, D. T.: Features of Tropospheric and
Stratospheric Dust, Appl. Optics, 8, 893–903, 1969.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
English, J. M., Toon, O. B., Mills, M. J., and Yu, F.: Microphysical
simulations of new particle formation in the upper troposphere and lower
stratosphere, Atmos. Chem. Phys., 11, 9303–9322, <a href="https://doi.org/10.5194/acp-11-9303-2011" target="_blank">https://doi.org/10.5194/acp-11-9303-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
English, J. M., Toon, O. B., and Mills, M. J.: Microphysical simulations of
large volcanic eruptions: Pinatubo and Toba, J. Geophys. Res.-Atmos., 118,
1880–1895, <a href="https://doi.org/10.1002/jgrd.50196" target="_blank">https://doi.org/10.1002/jgrd.50196</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Eyring, V., Lamarque, J.-F., Hess, P., Arfeuille, F., Bowman, K., Chipperfield,
M. P., Duncan, B., Fiore, A., Gettelman, A., Giorgetta, M. A., Granier, C.,
Hegglin, M., Kinnison, D., Kunze, M., Langematz, U., Luo, B., Martin, R., Matthes,
K., Newman, P. A., Peter, T., Robock, A., Ryerson, T., Saiz-Lopez, A.,
Salawitch, R., Schultz, M., Shepherd, T. G., Shindell, D., Staehelin, J.,
Tegtmeier, S., Thomason, L., Tilmes, S., Vernier, J.-P., Waugh, D. W., and
Young, P. J.: Overview of IGAC/SPARC Chemistry-Climate Model Initiative (CCMI)
Community Simulations in Support of Upcoming Ozone and Climate Assessments,
SPARC Newsletter No. 40, SPARC, 48–66, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Flowers, E. C. and Viebrock, H. J.: Solar Radiation: An Anomalous Decrease
of Direct Solar Radiation, Science, 148, 493–494, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Friend, J. P.: Properties of the stratospheric aerosol, Tellus, 18, 465-473, 1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Gao, C., Oman, L., Robock, A., and Stenchikov, G. L.: Atmospheric volcanic
loading derived from bipolar ice cores: Accounting for the spatial distribution
of volcanic deposition, J. Geophys. Res., 112, D09109, <a href="https://doi.org/10.1029/2006JD007461" target="_blank">https://doi.org/10.1029/2006JD007461</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Gao, C., Robock, A., and Ammann, C.: Volcanic forcing of climate over the past
1500 years: an improved ice core-based index for climate models, J. Geophys.
Res., 113, D23111, <a href="https://doi.org/10.1029/2008JD010239" target="_blank">https://doi.org/10.1029/2008JD010239</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Garcia, R. R., Randel, W. J., and Kinnison, D. E.: On the determination of age
of air trends from atmospheric trace species, J. Atmos. Sci., 68, 139–154,
<a href="https://doi.org/10.1175/2010JAS3527.1" target="_blank">https://doi.org/10.1175/2010JAS3527.1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Garfinkel, C. I., Aquila, V., Waugh, D. W., and Oman, L. D.: Time-varying
changes in the simulated structure of the Brewer–Dobson Circulation, Atmos.
Chem. Phys., 17, 1313–1327, <a href="https://doi.org/10.5194/acp-17-1313-2017" target="_blank">https://doi.org/10.5194/acp-17-1313-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Glatthor, N., Höpfner, M., Baker, I. T., Berry, J., Campbell, J. E., Kawa,
S. R., Krysztofiak, G., Leyser, A., Sinnhuber, B.-M., Stiller, G. P., Stinecipher,
J., and von Clarmann, T.: Tropical sources and sinks of carbonyl sulfide observed
from space, Geophys. Res. Lett., 42, 10082–10090, <a href="https://doi.org/10.1002/2015GL066293" target="_blank">https://doi.org/10.1002/2015GL066293</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Grainger, R. G., Lambert, A., Taylor, F. W., Remedios, J. J., Rogers, C. D.,
and Corney, M.: Infrared absorption by volcanic stratospheric aerosols observed
by ISAMS, Geophys. Res. Lett., 20, 1287–1290, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Grams, G. and Fiocco, G.: Stratospheric Aerosol Layer during 1964 and 1965, J.
Geophys. Res., 72, 3523–3542, 1967.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Granier, C., Bessagnet, B., Bond, T. C., D'Angiola, A., Denier van der Gon, H.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., Kloster, S.,
Lamarque, J.-F., Liousse, C., Masui, T., Meleux, F., Mieville, A., Ohara, T.,
Raut, J.-C., Riahi, K., Schultz, M. G., Smith, S. J., Thompson, A., Aardenne,
J., Werf, G. R., and Vuuren, D. P.: Evolution of anthropogenic and biomass
burning emissions of air pollutants at global and regional scales during the
1980–2010 period, Climatic Change, 109, 163–190, <a href="https://doi.org/10.1007/s10584-011-0154-1" target="_blank">https://doi.org/10.1007/s10584-011-0154-1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Günther, A., Höpfner, M., Sinnhuber, B.-M., Griessbach, S., Deshler,
T., von Clarmann, T., and Stiller, G.: MIPAS observations of volcanic sulfate
aerosol and sulfur dioxide in the stratosphere, Atmos. Chem. Phys., 18,
1217–1239, <a href="https://doi.org/10.5194/acp-18-1217-2018" target="_blank">https://doi.org/10.5194/acp-18-1217-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Guo, S., Bluth, G. J. S., Rose, W. I., Watson, I. M., and Prata, A. J.:
Re-evaluation of SO<sub>2</sub> release of the 15 June 1991 Pinatubo eruption
using ultraviolet and infrared satellite sensors, Geochem. Geophy. Geosy., 5, 1–31, 2004a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Guo, S, Rose, W. I., Bluth, G. J. S., and Watson, I. M.: Particles in the great
Pinatubo volcanic cloud of June 1991: the role of ice, Geochem. Geophy. Geosy.,
5, Q05003, <a href="https://doi.org/10.1029/2003GC000655" target="_blank">https://doi.org/10.1029/2003GC000655</a>, 2004b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Hamill, P. and Brogniez, C.: Ch4. Stratospheric aerosol record and climatology,
in: SPARC Assessment of Stratospheric Aerosol Properties, edited by: Thomason,
L. and Peter, T., World Climate Research Program 124, Toronto, 107–176, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Hamill, P., Jensen, E. J., Russel, P. B., and Bauman, J. J.: The life cycle of
stratospheric aerosol particles, B. Am. Meteorol. Soc., 78, 1395–1410, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Hofmann, D. J. and Rosen, J. M.: Sulfuric acid droplet formation and growth
in the stratosphere after the 1982 eruption of El Chichón, Geophys. Res.
Lett., 10, 313–316, <a href="https://doi.org/10.1029/GL010i004p00313" target="_blank">https://doi.org/10.1029/GL010i004p00313</a>, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Hofmann, D. J. and Rosen, J. M.: On the prolonged lifetime of the El Chichón
sulfuric acid aerosol cloud, J. Geophys. Res., 92, 9825–9830, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Hofmann, D. J., Barnes, J. O'Neill, M., Trudeau, M. and Neely, R.: Increase in
background stratospheric aerosol observed with lidar at Mauna Loa Observatory
and Boulder, Colorado, Geophys. Res. Lett., 36, 1–5, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Hommel, R., Timmreck, C., and Graf, H. F.: The global middle-atmosphere aerosol
model MAECHAM5-SAM2: comparison with satellite and in-situ observations, Geosci.
Model Dev., 4, 809–834, <a href="https://doi.org/10.5194/gmd-4-809-2011" target="_blank">https://doi.org/10.5194/gmd-4-809-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Hommel, R., Timmreck, C., Giorgetta, M. A., and Graf, H. F.: Quasi-biennial
oscillation of the tropical stratospheric aerosol layer, Atmos. Chem. Phys.,
15, 5557–5584, <a href="https://doi.org/10.5194/acp-15-5557-2015" target="_blank">https://doi.org/10.5194/acp-15-5557-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Höpfner, M., Glatthor, N., Grabowski, U., Kellmann, S., Kiefer, M., Linden,
A., Orphal, J., Stiller, G., von Clarmann, T., Funke, B., and Boone, C. D.:
Sulfur dioxide (SO<sub>2</sub>) as observed by MIPAS/Envisat: temporal development
and spatial distribution at 15–45&thinsp;km altitude, Atmos. Chem. Phys., 13,
10405–10423, <a href="https://doi.org/10.5194/acp-13-10405-2013" target="_blank">https://doi.org/10.5194/acp-13-10405-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Höpfner, M., Boone, C. D., Funke, B., Glatthor, N., Grabowski, U.,
Günther, A., Kellmann, S., Kiefer, M., Linden, A., Lossow, S., Pumphrey,
H. C., Read, W. G., Roiger, A., Stiller, G., Schlager, H., von Clarmann, T.,
and Wissmüller, K.: Sulfur dioxide (SO<sub>2</sub>) from MIPAS in the upper
troposphere and lower stratosphere 2002–2012, Atmos. Chem. Phys., 15, 7017–7037,
<a href="https://doi.org/10.5194/acp-15-7017-2015" target="_blank">https://doi.org/10.5194/acp-15-7017-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Jones, A. C., Haywood, J. M., Jones, A., and Aquila, V.: Sensitivity of volcanic
aerosol dispersion to meteorological conditions: A Pinatubo case study, J.
Geophys. Res.-Atmos., 121, 6892–6908, <a href="https://doi.org/10.1002/2016JD025001" target="_blank">https://doi.org/10.1002/2016JD025001</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Kent, G. S., Clemesha, B. R., and Wright, R. W.: High altitude atmospheric
scattering of light from a laser beam, J. Atmos. Terr. Phys., 29, 169–181, 1967.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Kinne, S., Toon, O. B., and Prather, M. J.: Buffering of stratospheric
circulation by changing amounts of tropical ozone a Pinatubo Case Study, Geophys.
Res. Lett., 19, 1927–1930, <a href="https://doi.org/10.1029/92GL01937" target="_blank">https://doi.org/10.1029/92GL01937</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Kleinschmitt, C., Boucher, O., and Platt, U.: Sensitivity of the radiative
forcing by stratospheric sulfur geoengineering to the amount and strategy of
the SO<sub>2</sub> injection studied with the LMDZ-S3A model, Atmos. Chem. Phys.,
18, 2769–2786, <a href="https://doi.org/10.5194/acp-18-2769-2018" target="_blank">https://doi.org/10.5194/acp-18-2769-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Kokkola, H., Hommel, R., Kazil, J., Niemeier, U., Partanen, A.-I., Feichter, J.,
and Timmreck, C.: Aerosol microphysics modules in the framework of the ECHAM5
climate model – intercomparison under stratospheric conditions, Geosci. Model
Dev., 2, 97–112, <a href="https://doi.org/10.5194/gmd-2-97-2009" target="_blank">https://doi.org/10.5194/gmd-2-97-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Kovilakam, M. and Deshler, T.: On the accuracy of stratospheric aerosol
extinction derived from in situ size distribution measurements and surface area
density derived from remote SAGE II and HALOE extinction measurements, J.
Geophys. Res.-Atmos., 120, 8426–8447, <a href="https://doi.org/10.1002/2015JD023303" target="_blank">https://doi.org/10.1002/2015JD023303</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Kravitz, B., Robock, A., Bourassa, A., and Stenchikov, G.: Negligible climatic
effects from the 2008 Okmok and Kasatochi volcanic eruptions, J. Geophys. Res.,
115,  D00L05, <a href="https://doi.org/10.1029/2009JD013525" target="_blank">https://doi.org/10.1029/2009JD013525</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Kravitz, B., Robock, A., Tilmes, S., Boucher, O., English, J. M., Irvine, P. J.,
Jones, A., Lawrence, M. G., MacCracken, M., Muri, H., Moore, J. C., Niemeier,
U., Phipps, S. J., Sillmann, J., Storelvmo, T., Wang, H., and Watanabe, S.: The
Geoengineering Model Intercomparison Project Phase 6 (GeoMIP6): simulation
design and preliminary results, Geosci. Model Dev., 8, 3379–3392,
<a href="https://doi.org/10.5194/gmd-8-3379-2015" target="_blank">https://doi.org/10.5194/gmd-8-3379-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Kremser, S., Thomason, L. W., von Hobe, M., Hermann, M., Deshler, T., Timmreck,
C., Toohey, M., Stenke, A., Schwarz, J. P., Weigel, R., Fueglistaler, S., Prata,
F. J., Vernier, J.-P., Schlager, H., Barnes, J. E., Antuña-Marrero, J.-C.,
Fairlie, D., Palm, M., Mahieu, E., Notholt, J., Rex, M., Bingen, C., Vanhellemont,
F., Bourassa, A., Plane, J. M. C., Klocke, D., Carn, S. A., Clarisse, L., Trickl,
T., Neely, R., James, A. D., Rieger, L., Wilson, J. C., and Meland, B.:
Stratospheric aerosol – Observations, processes, and impact on climate, Rev.
Geophys., 54, 1–58, <a href="https://doi.org/10.1002/2015RG000511" target="_blank">https://doi.org/10.1002/2015RG000511</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Krueger, A. J., Krotkov, N. A., and Carn, S. A.: El Chichon: the genesis of
volcanic sulfur dioxide monitoring from space, J. Volcanol. Geoth. Res., 175,
408–414, <a href="https://doi.org/10.1016/j.jvolgeores.2008.02.026" target="_blank">https://doi.org/10.1016/j.jvolgeores.2008.02.026</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Lacis, A., Hansen, J., and Sato, M.: Climate forcing by stratospheric aerosols,
Geophys. Res. Lett., 19, 1607–1610, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Lambert, A., Grainger, R., Remedios, J., Rodgers, C., Corney, M., and Taylor,
F.: Measurements of the evolution of the Mt. Pinatubo aerosol cloud by ISAMS,
Geophys. Res. Lett., 20, 1287–1290, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
Lee, L. A., Carslaw, K. S., Pringle, K. J., Mann, G. W., and Spracklen, D. V.:
Emulation of a complex global aerosol model to quantify sensitivity to uncertain
parameters, Atmos. Chem. Phys., 11, 12253–12273, <a href="https://doi.org/10.5194/acp-11-12253-2011" target="_blank">https://doi.org/10.5194/acp-11-12253-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
Mann, G. W., Dhomse, S., Deshler, T., Timmreck, C., Schmidt, A., Neely, R., and
Thomason, L.: Evolving particle size is the key to improved volcanic forcings,
Past Global Change, 23, 52–53, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Marotzke, J. and Forster, P. M.: Forcing, feedback and internal variability in
global temperature trends, Nature, 517, 565–570, <a href="https://doi.org/10.1038/nature14117" target="_blank">https://doi.org/10.1038/nature14117</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Marshall, L., Schmidt, A., Toohey, M., Carslaw, K. S., Mann, G. W., Sigl, M.,
Khodri, M., Timmreck, C., Zanchettin, D., Ball, W. T., Bekki, S., Brooke, J. S.
A., Dhomse, S., Johnson, C., Lamarque, J.-F., LeGrande, A. N., Mills, M. J.,
Niemeier, U., Pope, J. O., Poulain, V., Robock, A., Rozanov, E., Stenke, A.,
Sukhodolov, T., Tilmes, S., Tsigaridis, K., and Tummon, F.: Multi-model
comparison of the volcanic sulfate deposition from the 1815 eruption of
Mt. Tambora, Atmos. Chem. Phys., 18, 2307–2328, <a href="https://doi.org/10.5194/acp-18-2307-2018" target="_blank">https://doi.org/10.5194/acp-18-2307-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
McLinden, C. A., Bourassa, A. E., Brohede, S., Cooper, M., Degenstein, D. A.,
Evans, W. J. F., Gattinger, R. L., Haley, C. S., Llewellyn, E. J., Lloyd, N. D.,
Loewen, P., Martin, R. V., McConnell, J. C., McDade, I. C., Murtagh, D., Rieger,
L., Von Savigny, C., Sheese, P. E., Sioris, C. E., Solheim, B., and Strong, K.:
Osiris: A Decade of scattered light, B. Am. Meteorol. Soc., 93, 1845–1863,
<a href="https://doi.org/10.1175/BAMS-D-11-00135.1" target="_blank">https://doi.org/10.1175/BAMS-D-11-00135.1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
Mills, M. J., Schmidt, A., Easter, R., Solomon, S., Kinnison, D. E., Ghan, S.
J., Neely III, R. R., Marsh, D. R., Conley, A., Bardeen, C. G., and Gettelman,
A.: Global volcanic aerosol properties derived from emissions, 1990–2014,
using CESM1(WACCM), J. Geophys. Res.-Atmos., 121, 2332–2348, <a href="https://doi.org/10.1002/2015JD024290" target="_blank">https://doi.org/10.1002/2015JD024290</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
Mills, M. J., Richter, J. H., Tilmes, S., Kravitz, B., MacMartin, D. G.,
Glanville, A. A., Tribbia, J. J., Lamarque, J.-F., Vitt, F., Schmidt, A.,
Gettelman, A., Hannay, C., Bacmeister, J. T., and Kinnison, D. E.: Radiative
and chemical response to interactive stratospheric sulfate aerosols in fully
coupled CESM1 (WACCM), J. Geophys. Res.-Atmos., 122, 13061–13078, <a href="https://doi.org/10.1002/2017JD027006" target="_blank">https://doi.org/10.1002/2017JD027006</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
Montzka, S. A., Calvert, P., Hall, B. D., Elkins, J. W., Conway, T. J., Tans,
P. P., and Sweeney, C.: On the global distribution, seasonality, and budget of
atmospheric carbonyl sulfide and some similarities with CO<sub>2</sub>, J.
Geophys. Res., 112, D09302, <a href="https://doi.org/10.1029/2006JD007665" target="_blank">https://doi.org/10.1029/2006JD007665</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
Moreno, H. and Stock, J.: The atmospheric extinction on Cerro Tololo during 1963,
Pub. Astron. Soc. Pacific, 76, 55–56, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>
Moriyama, R., Sugiyama, M., Kurosawa, A., Masuda, K., Tsuzuki, K., and Ishimoto,
Y.: The cost of stratospheric climate engineering revisited, Mitig. Adapt. Strat.
Global Change, 22, 1207–1228, <a href="https://doi.org/10.1007/s11027-016-9723-y" target="_blank">https://doi.org/10.1007/s11027-016-9723-y</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>
Mossop, S. C.: Stratospheric particles at 20&thinsp;km, Nature, 199, 325–326, 1963.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>
Mossop, S. C.: Volcanic dust collected at an altitude of 20&thinsp;km, Nature, 203, 824–827, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>
Muthers, S., Kuchar, A., Stenke, A., Schmitt, J., Anet, J. G., Raible, C. C.,
and Stocker, T. F.: Stratospheric age of air variations between 1600–2100,
Geophys. Res. Lett., 43, 5409–5418, <a href="https://doi.org/10.1002/2016GL068734" target="_blank">https://doi.org/10.1002/2016GL068734</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>
Myhre, G., Shindell, D., Bréon, F. M., Collins, W., Fuglestvedt, J., Huang,
J., Koch, D., Lamarque, J. F., Lee, D., Mendoza, B., Nakajima, T., Robock, A.,
Stephens, G., Takemura, T., and Zhang, H.: Anthropogenic and natural radiative
forcing, in: Climate Change 2013: The Physical Science Basis, Contribution of
Working Group I to the Fifth Assessment Report of the Intergovernmental Panel
on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner, G.-K., Tignor,
M., Allen, S. K., Nauels, A., Xia, Y., Bex, V., and Midgley, P. M., Cambridge
University Press, Cambridge, UK and New York, NY, USA, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>
Nardi, B., Chanin, M.-L, Hauchecorne, I. A., Avdyushin, S. I., Tulinov, G. F.,
Ivanov, M. S., Kuzmenko, B. N., and Mezhue, I. R.: 2. Morphology and dynamics
of the Pinatubo aerosol layer in the northern hemisphere as detected from a
ship-borne lidar, Geophys. Res. Lett., 20, 1967–1971, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
National Research Council: Climate Intervention: Reflecting Sunlight to Cool
Earth, The Natl. Acad. Press, Washington, D.C., 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>
Neely, R. and Schmidt, A.: VolcanEESM: Global volcanic sulphur dioxide (SO<sub>2</sub>)
emissions database from 1850 to present – Version 1.0, Cent. Environ. Data
Anal., <a href="https://doi.org/10.5285/76ebdc0b-0eed-4f70-b89e-55e606bcd568" target="_blank">https://doi.org/10.5285/76ebdc0b-0eed-4f70-b89e-55e606bcd568</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>
Neely III, R. R., Toon, O. B., Solomon, S., Vernier, J. P., Alvarez, C., English,
J. M., Rosenlof, K. H., Mills, M., Bardeen, C. G., Daniel, J. S., and Thayer,
J. P.: Recent anthrogenic increases in SO<sub>2</sub> from Asia have minimal
impact on stratospheric aerosol, Geophys. Res. Lett., 40, 999–1004, <a href="https://doi.org/10.1002/grl.50263" target="_blank">https://doi.org/10.1002/grl.50263</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>
Neely III, R. R., Yu, P. Rosenlof, K. H., Toon, O. B., Daniel, J. S., Solomon,
S., and Miller, H. L.: The contribution of anthropogenic SO<sub>2</sub> emissions
to the Asian tropopause aerosol layer, J. Geophys. Res.-Atmos., 119, 1571–1579,
<a href="https://doi.org/10.1002/2013JD020578" target="_blank">https://doi.org/10.1002/2013JD020578</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>
Niemeier, U. and Schmidt, H.: Changing transport processes in the stratosphere
by radiative heating of sulfate aerosols, Atmos. Chem. Phys., 17, 14871–14886,
<a href="https://doi.org/10.5194/acp-17-14871-2017" target="_blank">https://doi.org/10.5194/acp-17-14871-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>
Niemeier, U. and Timmreck, C.: What is the limit of climate engineering by
stratospheric injection of SO<sub>2</sub>?, Atmos. Chem. Phys., 15, 9129–9141,
<a href="https://doi.org/10.5194/acp-15-9129-2015" target="_blank">https://doi.org/10.5194/acp-15-9129-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>
Niemeier, U., Timmreck, C., Graf, H.-F., Kinne, S., Rast, S., and Self, S.:
Initial fate of fine ash and sulfur from large volcanic eruptions, Atmos. Chem.
Phys., 9, 9043–9057, <a href="https://doi.org/10.5194/acp-9-9043-2009" target="_blank">https://doi.org/10.5194/acp-9-9043-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>
Oman, L., Robock, A., Stenchikov, G. L., Thordarson, T., Koch, D., Shindell, D.
T., and Gao, C. C.: Modeling the distribution of the volcanic aerosol cloud
from the 1783–1784 Laki eruption, J. Geophys. Res.-Atmos., 111, D12209,
<a href="https://doi.org/10.1029/2005JD006899" target="_blank">https://doi.org/10.1029/2005JD006899</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>
Pinto, J. P., Turco, R. P., and Toon, O. B.: Self-limiting physical and chemical
effects in volcanic eruption clouds, J. Geophys. Res., 94, 11165–11174, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>
Pitari, G. and Mancini, E.: Short-term climatic impact of the 1991 volcanic
eruption of Mt. Pinatubo and effects on atmospheric tracers, Nat. Hazards Earth
Syst. Sci., 2, 91–108, <a href="https://doi.org/10.5194/nhess-2-91-2002" target="_blank">https://doi.org/10.5194/nhess-2-91-2002</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>100</label><mixed-citation>
Pitari, G., Cionni, I., Di Genova, G., Visioni, D., Gandolfi, I., and Mancini,
E.: Impact of Stratospheric Volcanic Aerosols on Age of-Air and Transport of
Long-Lived Species, Atmosphere, 7, 149, <a href="https://doi.org/10.3390/atmos7110149" target="_blank">https://doi.org/10.3390/atmos7110149</a>, 2016a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib101"><label>101</label><mixed-citation>
Pitari, G., Di Genova, G., Mancini, E., Visioni, D., Gandolfi, I., and Cionni,
I.: Stratospheric Aerosols from Major Volcanic Eruptions: A Composition-Climate
Model Study of the Aerosol Cloud Dispersal and e-folding Time, Atmosphere, 7,
75, <a href="https://doi.org/10.3390/atmos7060075" target="_blank">https://doi.org/10.3390/atmos7060075</a>, 2016b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib102"><label>102</label><mixed-citation>
Pittock, A. B.: A thin stable layer of anomalous ozone and dust content, J.
Atmos. Sci., 23, 538–542, 1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib103"><label>103</label><mixed-citation>
Plumb, R. A.: A “tropical pipe” model of stratospheric transport, J. Geophys.
Res., 101, 3957–3972, <a href="https://doi.org/10.1029/95JD03002" target="_blank">https://doi.org/10.1029/95JD03002</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib104"><label>104</label><mixed-citation>
Pueschel, R. F., Machta, L., Cotton, G. F., Flower, E. C., and Peterson, J. T.:
Normal Incidence Radiation Trends and Mauna Loa, Hawaii, Nature, 240, 545–547, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib105"><label>105</label><mixed-citation>
Pueschel, R. F., Russell, R. B., Allen, D. A., Ferry, G. V., Snetsinger, K.
G., Livingston, J. M., and Verma, S.: Physical and optical properties of the
Pinatubo volcanic aerosol: Aircraft observations with impactors and a Sun-tracking
photometer, J. Geophys. Res.-Atmos., 99, 12915–12922, <a href="https://doi.org/10.1029/94JD00621" target="_blank">https://doi.org/10.1029/94JD00621</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib106"><label>106</label><mixed-citation>
Pumphrey, H. C., Read, W. G., Livesey, N. J., and Yang, K.: Observations of
volcanic SO<sub>2</sub> from MLS on Aura, Atmos. Meas. Tech., 8, 195–209,
<a href="https://doi.org/10.5194/amt-8-195-2015" target="_blank">https://doi.org/10.5194/amt-8-195-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib107"><label>107</label><mixed-citation>
Rault, D. F. and Loughman, R. P.: The OMPS Limb Profiler Environmental Data
Record Algorithm Theoretical Basis Document and Expected Performance, IEEE
T. Geosci. Remote, 51, 2505–2527, <a href="https://doi.org/10.1109/TGRS.2012.2213093" target="_blank">https://doi.org/10.1109/TGRS.2012.2213093</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib108"><label>108</label><mixed-citation>
Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Sweeney, C., Tans,
P., Wang, T., Elkins, J. W., Bönisch, H., Engel, A., and Sugawara, S.:
Improving stratospheric transport trend analysis based on SF<sub>6</sub> and
CO<sub>2</sub> measurements, J. Geophys. Res.-Atmos., 119, 14–110, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib109"><label>109</label><mixed-citation>
Rayner, N. A., Parker, D. E., Horton, E. B., Folland, C. K., Alexander, L.
V., Rowell, D. P., Kent, E. C., and Kaplan, A.: Global analyses of sea surface
temperature, sea ice, and night marine air temperature since the late nineteenth
century, J. Geophys. Res., 108, 4407, <a href="https://doi.org/10.1029/2002JD002670" target="_blank">https://doi.org/10.1029/2002JD002670</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib110"><label>110</label><mixed-citation>
Reeves, J. M., Wilson, J., Brock, C., A., and Bui, T. P.: Comparison of aerosol
extinction coefficients, surface area density, and volume density from SAGE II
and in situ aircraft measurements, J. Geophys. Res, 113, DI1202, <a href="https://doi.org/10.1029/2007JD009357" target="_blank">https://doi.org/10.1029/2007JD009357</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib111"><label>111</label><mixed-citation>
Ridley, D. A., Solomon, S., Barnes, J. E., Burlakov, V. D., Deshler, T., Dolgii,
S. I., Herber, A. B., Nagai, T., Neely III, R. R., Nevzorov, A. V., Ritter, C.,
Sakai, T., Santer, B. D., Sato, M., Schmidt, A., Uchino, O., and Vernier, J. P.:
Total volcanic stratospheric aerosol optical depths and implications for global
climate change, J. Geophys. Res., 41, 7763–7769, <a href="https://doi.org/10.1002/2014GL061541" target="_blank">https://doi.org/10.1002/2014GL061541</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib112"><label>112</label><mixed-citation>
Rieger, L. A., Bourassa, A. E., and Degenstein, D. A.: Merging the OSIRIS and
SAGE II stratospheric aerosol records, J. Geophys. Res.-Atmos., 120, 8890–8904,
<a href="https://doi.org/10.1002/2015JD023133" target="_blank">https://doi.org/10.1002/2015JD023133</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib113"><label>113</label><mixed-citation>
Robock, A.: Volcanic eruptions and climate, Rev. Geophys., 38, 191–219,
<a href="https://doi.org/10.1029/1998RG000054" target="_blank">https://doi.org/10.1029/1998RG000054</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib114"><label>114</label><mixed-citation>
Robock, A., MacMartin, D. G., Duren, R., and Christensen, M. W.: Studying
geoengineering with natural and anthropogenic analogs, Climatic Change, 121,
445–458, <a href="https://doi.org/10.1007/s10584-013-0777-5" target="_blank">https://doi.org/10.1007/s10584-013-0777-5</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib115"><label>115</label><mixed-citation>
Rollins, A. W., Thornberry, T. D., Watts, L. A., Yu, P., Rosenlof, K. H., Mills,
M., Baumann, E., Giorgetta, F. R., Bui, T. V., Höpfner, M., Walker, K. A.,
Boone, C., Bernath, P. F., Colarco, P. R., Newman, P. A., Fahey, D. W., and Gao,
R. S.: The role of sulfur dioxide in stratospheric aerosol formation evaluated
by using in situ measurements in the tropical lower stratosphere, Geophys. Res.
Lett., 44, 4280–4286, <a href="https://doi.org/10.1002/2017GL072754" target="_blank">https://doi.org/10.1002/2017GL072754</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib116"><label>116</label><mixed-citation>
Rosen, J. M.: The Vertical Distribution of Dust to 30 Kilometers, J. Geophys.
Res., 69, 4673–4767, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib117"><label>117</label><mixed-citation>
Rosen, J. M.: Correlation of dust and ozone in the stratosphere, Nature, 209, 1342, 1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib118"><label>118</label><mixed-citation>
Rosen, J. M.: Simultaneous Dust and Ozone Soundings over North and Central
America, J. Geophys. Res., 73, 479–486, 1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib119"><label>119</label><mixed-citation>
Rougier, J., Sexton, D. M. H., Murphy, J. M., and Stainforth, D. A.: Analyzing
the climate sensitivity of the HadSM3 climate model using ensembles from
different but related experiments, J. Climate, 22, 3540–3557, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib120"><label>120</label><mixed-citation>
Russell, P. B. and McCormick, M. P.: SAGE II aerosol data validation and initial
data use: An introduction and overview, J. Geophys. Res., 94, 8335–8338, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib121"><label>121</label><mixed-citation>
Santer, B. D., Bonfils, C., Painter, J. F., Zelinka, M. D., Mears, C., Solomon,
S., Schmidt, G. A., Fyfe, J. C., Cole, J. N. S., Nazarenko, L., Taylor, K. E.,
and Wentz, F. J.: Volcanic contribution to decadal changes in tropospheric
temperature, Nat. Geosci., 7, 185–189, <a href="https://doi.org/10.1038/ngeo2098" target="_blank">https://doi.org/10.1038/ngeo2098</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib122"><label>122</label><mixed-citation>
Santer, B. D., Solomon, S.; Bonfils, C., Zelinka, M. D., Painter, J. F.,
Beltran, F., Fyfe, C., Johannesson, G., Mears, C., Ridley, D. A., Vernier, J.-P.,
and Wentz, F. J.: Observed multivariable signals of late 20th and early
21st century volcanic activity, Geophys. Res. Lett., 42, 500–509, <a href="https://doi.org/10.1002/2014GL062366" target="_blank">https://doi.org/10.1002/2014GL062366</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib123"><label>123</label><mixed-citation>
Schulz, M., Textor, C., Kinne, S., Balkanski, Y., Bauer, S., Berntsen, T.,
Berglen, T., Boucher, O., Dentener, F., Guibert, S., Isaksen, I. S. A., Iversen,
T., Koch, D., Kirkevåg, A., Liu, X., Montanaro, V., Myhre, G., Penner, J. E.,
Pitari, G., Reddy, S., Seland, Ø., Stier, P., and Takemura, T.: Radiative
forcing by aerosols as derived from the AeroCom present-day and pre-industrial
simulations, Atmos. Chem. Phys., 6, 5225–5246, <a href="https://doi.org/10.5194/acp-6-5225-2006" target="_blank">https://doi.org/10.5194/acp-6-5225-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib124"><label>124</label><mixed-citation>
Self, S. and King, A. J.: Petrology and sulfur and chlorine emissions of the
1963 eruption of Gunung Agung, Bali, Indonesia, Bull. Volcanol., 58, 263–285, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib125"><label>125</label><mixed-citation>
Sheng, J.-X., Weisenstein, D. K., Luo, B.-P., Rozanov, E., Stenke, A., Anet,
J., Bingemer, H., and Peter, T.: Global atmospheric sulfur budget under
volcanically quiescent conditions: aerosol–chemistry–climate model predictions
and validation, J. Geophys. Res.-Atmos., 120, 256–276, <a href="https://doi.org/10.1002/2014JD021985" target="_blank">https://doi.org/10.1002/2014JD021985</a>, 2015a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib126"><label>126</label><mixed-citation>
Sheng, J.-X., Weisenstein, D. K., Luo, B.-P., Rozanov, E., Arfeuille, F., and
Peter, T.: A perturbed parameter model ensemble to investigate 1991 Mt Pinatubo's
initial sulfur mass emission, Atmos. Chem. Phys., 15, 11501–11512, <a href="https://doi.org/10.5194/acp-15-11501-2015" target="_blank">https://doi.org/10.5194/acp-15-11501-2015</a>, 2015b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib127"><label>127</label><mixed-citation>
Sigl, M., Winstrup, M., McConnell, J. R., Welten, K. C., Plunkett, G., Ludlow,
F., Büntgen, U., Caffee, M., Chellman, N., Dahl-Jensen, D., Fischer, H.,
Kipfstuhl, S., Kostick, C., Maselli, O. J., Mekhaldi, F., Mulvaney, R., Muscheler,
R., Pasteris, D. R., Pilcher, J. R., Salzer, M., Schüpbach, S., Steffensen,
J. P., Vinther, B. M., and Woodruff, T. E.: Timing and climate forcing of
volcanic eruptions for the past 2,500 years, Nature, 523, 543–549, <a href="https://doi.org/10.1038/nature14565" target="_blank">https://doi.org/10.1038/nature14565</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib128"><label>128</label><mixed-citation>
Solomon, S., Daniel, J. S., Neely III, R. R., Vernier, J. P., Dutton, E. G.,
and Thomason, L. W.: The Persistently Variable “Background” Stratospheric
Aerosol Layer and Global Climate Change, Science, 333, 866–870, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib129"><label>129</label><mixed-citation>
Solomon S., Ivy, D. J., Kinnison, D., Mills, M. J., Neely III, R. R., and
Schmidt, A.: Emergence of healing in the Antarctic ozone layer, Science, 353,
269–274, <a href="https://doi.org/10.1126/science.aae0061" target="_blank">https://doi.org/10.1126/science.aae0061</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib130"><label>130</label><mixed-citation>
SPARC: Assessment of Stratospheric Aerosol Properties (ASAP), in: SPARC Report
No. 4, edited by: Thomason, L. and Peter, T., World Climate Research Programme
WCRP-124, WMO/TD No. 1295, WMO, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib131"><label>131</label><mixed-citation>
Stevens, T. D., Haris, P. A. T., Rau, Y.-C., and Philbrick, C. R.: Latitudinal
lidar mapping of stratospheric particle layers, Adv. Space Res., 14, 193–198, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib132"><label>132</label><mixed-citation>
Stoffel, M., Khodri, M., Corona, C., Guillet, S., Poulain, V., Bekki, S., Guiot,
J., Luckman, B. H., Oppenheimer, C., Lebas, N., Beniston, M., and Masson-Delmotte,
V.: Estimates of volcanic- induced cooling in the Northern Hemisphere over the
past 1,500 years, Nat. Geosci., 8, 784–788, <a href="https://doi.org/10.1038/ngeo2526" target="_blank">https://doi.org/10.1038/ngeo2526</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib133"><label>133</label><mixed-citation>
Stothers, R. B.: Major optical depth perturbations to the stratosphere from
volcanic eruptions: Pyrheliometric period, 1881–1960, J. Geophys. Res., 101,
3901–3920, <a href="https://doi.org/10.1029/95JD03237" target="_blank">https://doi.org/10.1029/95JD03237</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib134"><label>134</label><mixed-citation>
Stothers, R. B.: Stratospheric aerosol clouds due to very large volcanic
eruptions of the early twentieth century: Effective particle sizes and
conversion from pyrheliometric to visual optical depth, J. Geophys. Res.,
102, 6143–6151, <a href="https://doi.org/10.1029/96JD03985" target="_blank">https://doi.org/10.1029/96JD03985</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib135"><label>135</label><mixed-citation>
Stothers, R. B.: Major optical depth perturbations to the stratosphere from
volcanic eruptions: Stellar extinction period, 1961–1978, J. Geophys. Res.,
106, 2993–3003, <a href="https://doi.org/10.1029/2000JD900652" target="_blank">https://doi.org/10.1029/2000JD900652</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib136"><label>136</label><mixed-citation>
Stothers, R. B.: Cloudy and clear stratospheres before A.D. 1000 inferred from
written sources, J. Geophys. Res., 107, 4718, <a href="https://doi.org/10.1029/2002JD002105" target="_blank">https://doi.org/10.1029/2002JD002105</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib137"><label>137</label><mixed-citation>
Stothers, R. B. and Rampino, M. R.: Volcanic eruptions in the Mediterranean
before A.D. 630 from written and archaeological sources, J. Geophys. Res., 88,
6357, <a href="https://doi.org/10.1029/JB088iB08p06357" target="_blank">https://doi.org/10.1029/JB088iB08p06357</a>, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib138"><label>138</label><mixed-citation>
Swingedouw, D., Mignot, J., Ortega, P., Khodri, M., Menegoz, M., Cassou, C.,
and Hanquiez, V.: Impact of explosive volcanic eruptions on the main climate
variability modes, Global Planet. Change, 150, 24–45, <a href="https://doi.org/10.1016/j.gloplacha.2017.01.006" target="_blank">https://doi.org/10.1016/j.gloplacha.2017.01.006</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib139"><label>139</label><mixed-citation>
Taha, G., Rault, D. F., Loughman, R. P., Bourassa, A. E., and von Savigny, C.:
SCIAMACHY stratospheric aerosol extinction profile retrieval using the OMPS/LP
algorithm, Atmos. Meas. Tech., 4, 547–556, <a href="https://doi.org/10.5194/amt-4-547-2011" target="_blank">https://doi.org/10.5194/amt-4-547-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib140"><label>140</label><mixed-citation>
Telford, P. J., Braesicke, P., Morgenstern, O., and Pyle, J. A.: Technical Note:
Description and assessment of a nudged version of the new dynamics Unified Model,
Atmos. Chem. Phys., 8, 1701–1712, <a href="https://doi.org/10.5194/acp-8-1701-2008" target="_blank">https://doi.org/10.5194/acp-8-1701-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib141"><label>141</label><mixed-citation>
Thomason, L. W. and Vernier, J.-P.: Improved SAGE II cloud/aerosol categorization
and observations of the Asian tropopause aerosol layer: 1989–2005, Atmos. Chem.
Phys., 13, 4605–4616, <a href="https://doi.org/10.5194/acp-13-4605-2013" target="_blank">https://doi.org/10.5194/acp-13-4605-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib142"><label>142</label><mixed-citation>
Thomason, L. W., Burton, S. P., Luo, B.-P., and Peter, T.: SAGE II measurements
of stratospheric aerosol properties at non-volcanic levels, Atmos. Chem. Phys.,
8, 983–995, <a href="https://doi.org/10.5194/acp-8-983-2008" target="_blank">https://doi.org/10.5194/acp-8-983-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib143"><label>143</label><mixed-citation>
Tilmes, S., Mills, M. J., Niemeier, U., Schmidt, H., Robock, A., Kravitz, B.,
Lamarque, J.-F., Pitari, G., and English, J. M.: A new Geoengineering Model
Intercomparison Project (GeoMIP) experiment designed for climate and chemistry
models, Geosci. Model Dev., 8, 43–49, <a href="https://doi.org/10.5194/gmd-8-43-2015" target="_blank">https://doi.org/10.5194/gmd-8-43-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib144"><label>144</label><mixed-citation>
Timmreck, C.: Modeling the climatic effects of large explosive volcanic eruptions,
Wiley Interdisciplin. Rev.: Clim. Change, 3, 545–564, <a href="https://doi.org/10.1002/wcc.192" target="_blank">https://doi.org/10.1002/wcc.192</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib145"><label>145</label><mixed-citation>
Timmreck, C., Graf, H.-F., and Feichter, J.: Simulation of Mt. Pinatubo volcanic
aerosol with the Hamburg Climate Model ECHAM4, Theor. Appl. Climatol., 62,
85–108, <a href="https://doi.org/10.1007/s007040050076" target="_blank">https://doi.org/10.1007/s007040050076</a>, 1999a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib146"><label>146</label><mixed-citation>
Timmreck, C., Graf, H.-F., and Kirchner, I.: A one and a half year interactive
simulation of Mt. Pinatubo aerosol, J. Geophys. Res., 104, 9337–9360, 1999b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib147"><label>147</label><mixed-citation>
Timmreck, C., Graf, H.-F., and Steil, B.: Aerosol chemistry interactions after
the Mt. Pinatubo eruption, in: Volcanism and the Earth's Atmosphere, edited by:
Robock, A. and Oppenheimer, C., AGU Monogr., 139, 214–225, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib148"><label>148</label><mixed-citation>
Timmreck, C., Graf, H. F., Lorenz, S. J., Niemeier, U., Zanchettin, D., Matei,
D., Jungclaus, J. H., and Crowley, T. J.: Aerosol size confines climate response
to volcanic super-eruptions, Geophys. Res. Lett., 37, L24705, <a href="https://doi.org/10.1029/2010GL045464" target="_blank">https://doi.org/10.1029/2010GL045464</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib149"><label>149</label><mixed-citation>
Toohey, M., Krüger, K., Niemeier, U., and Timmreck, C.: The influence of
eruption season on the global aerosol evolution and radiative impact of tropical
volcanic eruptions, Atmos. Chem. Phys., 11, 12351–12367, <a href="https://doi.org/10.5194/acp-11-12351-2011" target="_blank">https://doi.org/10.5194/acp-11-12351-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib150"><label>150</label><mixed-citation>
Toohey, M., Krüger, K., and Timmreck, C.: Volcanic sulfate deposition to
Greenland and Antarctica: A modeling sensitivity study, J. Geophys. Res.-Atmos.,
118, 4788–4800, <a href="https://doi.org/10.1002/jgrd.50428" target="_blank">https://doi.org/10.1002/jgrd.50428</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib151"><label>151</label><mixed-citation>
Toohey, M., Krüger, K., Bittner, M., Timmreck, C., and Schmidt, H.: The
impact of volcanic aerosol on the Northern Hemisphere stratospheric polar
vortex: mechanisms and sensitivity to forcing structure, Atmos. Chem. Phys.,
14, 13063–13079, <a href="https://doi.org/10.5194/acp-14-13063-2014" target="_blank">https://doi.org/10.5194/acp-14-13063-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib152"><label>152</label><mixed-citation>
Toohey, M., Krüger, K., Sigl, M., Stordal, F., and Svensen, H.: Climatic
and societal impacts of a volcanic double event at the dawn of the Middle Ages,
Climatic Change, 136, 401–412, <a href="https://doi.org/10.1007/s10584-016-1648-7" target="_blank">https://doi.org/10.1007/s10584-016-1648-7</a>, 2016a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib153"><label>153</label><mixed-citation>
Toohey, M., Stevens, B., Schmidt, H., and Timmreck, C.: Easy Volcanic Aerosol
(EVA v1.0): an idealized forcing generator for climate simulations, Geosci.
Model Dev., 9, 4049–4070, <a href="https://doi.org/10.5194/gmd-9-4049-2016" target="_blank">https://doi.org/10.5194/gmd-9-4049-2016</a>, 2016b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib154"><label>154</label><mixed-citation>
Trepte C. R. and Hitchman, M. H.: Tropical stratospheric circulation deduced
from satellite aerosol data, Nature, 355, 626–628, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib155"><label>155</label><mixed-citation>
Vanhellemont, F., Fussen, D., Mateshvili, N., Tétard, C., Bingen, C.,
Dekemper, E., Loodts, N., Kyrölä, E., Sofieva, V., Tamminen, J.,
Hauchecorne, A., Bertaux, J.-L., Dalaudier, F., Blanot, L., Fanton d'Andon, O.,
Barrot, G., Guirlet, M., Fehr, T., and Saavedra, L.: Optical extinction by upper
tropospheric/stratospheric aerosols and clouds: GOMOS observations for the
period 2002–2008, Atmos. Chem. Phys., 10, 7997–8009, <a href="https://doi.org/10.5194/acp-10-7997-2010" target="_blank">https://doi.org/10.5194/acp-10-7997-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib156"><label>156</label><mixed-citation>
Vehkamäki, H., Kulmala, M., Napari, I., Lehtinen, K. E. J., Timmreck, C.,
Noppel, M., and Laaksonen, A.: An improved parameterization for sulfuric
acid-water nucleation rates for tropospheric and stratospheric conditions,
J. Geophys. Res., 107, AAC3.1–AAC3.10, <a href="https://doi.org/10.1029/2002JD002184" target="_blank">https://doi.org/10.1029/2002JD002184</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib157"><label>157</label><mixed-citation>
Vernier, J. P., Pommereau, J. P., Garnier, A., Pelon, J., Larsen, N., Nielsen,
J., Christensen, T., Cairo, F., Thomason, L. W., Leblanc, T., and McDermid, I.
S.: Tropical stratospheric aerosol layer from CALIPSO lidar observations, J.
Geophys. Res., 114, D00H10, <a href="https://doi.org/10.1029/2009JD011946" target="_blank">https://doi.org/10.1029/2009JD011946</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib158"><label>158</label><mixed-citation>
Vernier, J.-P., Thomason, L. W., and Kar, J.: CALIPSO detection of an Asian
tropopause aerosol layer, Geophys. Res. Lett., 38, L07804, <a href="https://doi.org/10.1029/2010GL046614" target="_blank">https://doi.org/10.1029/2010GL046614</a>, 2011a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib159"><label>159</label><mixed-citation>
Vernier, J.-P., Thomason, L. W., Pommereau, J.-P., Bourassa, A., Pelon, J.,
Garnier, A., Hauchecorne, A., Blanot, L., Trepte, C., Degenstein, D., and
Vargas, F.: Major influence of tropical volcanic eruptions on the stratospheric
aerosol layer during the last decade, Geophys. Res. Lett., 38, L12807,
<a href="https://doi.org/10.1029/2011GL047563" target="_blank">https://doi.org/10.1029/2011GL047563</a>, 2011b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib160"><label>160</label><mixed-citation>
Visioni, D., Pitari, G., and Aquila, V.: Sulfate geoengineering: a review of
the factors controlling the needed injection of sulfur dioxide, Atmos. Chem.
Phys., 17, 3879–3889, <a href="https://doi.org/10.5194/acp-17-3879-2017" target="_blank">https://doi.org/10.5194/acp-17-3879-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib161"><label>161</label><mixed-citation>
Visioni, D., Pitari, G., Tuccella, P., and Curci, G.: Sulfur deposition changes
under sulfate geoengineering conditions: quasi-biennial oscillation effects on
the transport and lifetime of stratospheric aerosols, Atmos. Chem. Phys., 18,
2787–2808, <a href="https://doi.org/10.5194/acp-18-2787-2018" target="_blank">https://doi.org/10.5194/acp-18-2787-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib162"><label>162</label><mixed-citation>
Volz, F. E.: Twilight phenomena caused by the eruption of Agung volcano, Science,
144, 1121–1122, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib163"><label>163</label><mixed-citation>
Volz, F. E.: Note on the global variation of stratospheric turbidity since the
eruption of Agung volcano, Tellus, 17, 513–515, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib164"><label>164</label><mixed-citation>
Volz, F. E.: Atmospheric Turbidity after the Agung Eruption of 1963 and Size
Distribution of the Volcanic Aerosol, J. Geophys. Res., 75, 5185–5193, 1970.
</mixed-citation></ref-html>
<ref-html id="bib1.bib165"><label>165</label><mixed-citation>
von Savigny, C., Ernst, F., Rozanov, A., Hommel, R., Eichmann, K.-U., Rozanov,
V., Burrows, J. P., and Thomason, L. W.: Improved stratospheric aerosol
extinction profiles from SCIAMACHY: validation and sample results, Atmos. Meas.
Tech., 8, 5223–5235, <a href="https://doi.org/10.5194/amt-8-5223-2015" target="_blank">https://doi.org/10.5194/amt-8-5223-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib166"><label>166</label><mixed-citation>
Weisenstein, D. K., Penner, J. E., Herzog, M., and Liu, X.: Global 2-D
intercomparison of sectional and modal aerosol modules, Atmos. Chem. Phys.,
7, 2339–2355, <a href="https://doi.org/10.5194/acp-7-2339-2007" target="_blank">https://doi.org/10.5194/acp-7-2339-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib167"><label>167</label><mixed-citation>
Wilson, J. C., Jonsson, H. H., Brock, C. A., Toohey, D. W., Avallone, L. M.,
Baumgardner, D., Dye, J. E., Poole, L. R., Woods, D. C., DeCoursey, R. J.,
Osborn, M., Pitts, M. C., Kelly, K. K., Chan, K. R., Ferry, G. V., Loewenstein,
M., Podolske, J. R., and Weaver, A.: In situ observations of aerosol and chlorine
monoxide after the 1991 eruption of Mount Pinatubo: effect of reactions on
sulfate aerosol, Science, 261, 1140–1143, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib168"><label>168</label><mixed-citation>
Wilson, J. C., Lee, S.-H., Reeves, J. M., Brock, C. A., Jonsson, H. H., Lafleur,
B. G., Loewenstein, M., Podolske, J., Atlas, E., Boering, K., Toon, G., Fahey,
D., Bui, T. P., Diskin, G., and Moore, F.: Steady-state aerosol distributions
in the extra-tropical, lower stratosphere and the processes that maintain them,
Atmos. Chem. Phys., 8, 6617–6626, <a href="https://doi.org/10.5194/acp-8-6617-2008" target="_blank">https://doi.org/10.5194/acp-8-6617-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib169"><label>169</label><mixed-citation>
WMO – World Meteorological Organization/UNEP – United Nations Environment
Programme: Scientific Assessment of Ozone Depletion: 2006, World Meteorological
Organization, Global Ozone Research and Monitoring Project, Report No. 50, Geneva, Switzerland, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib170"><label>170</label><mixed-citation>
Young, R. E., Houben, H., and Toon, O. B.: Radiatively forced dispersion of
the Mt. Pinatubo volcanic cloud and induced temperature perturbations in the
stratosphere during the first few months following the eruption, Geophys. Res.
Lett., 21, 369–372, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib171"><label>171</label><mixed-citation>
Young, S. A., Manson, P. J., and Patterson, G. R.: Southern Hemisphere Lidar
measurements of the Aerosol Clouds from Mt Pinatubo and Mt Hudson, Extended
Abstracts of the 16th International Laser Radar Conference, July 1992, MIT,
Cambridge, Massachusetts, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib172"><label>172</label><mixed-citation>
Yorks, J. E., Palm, S. P., McGill, M. J., Hlavka, D. L., Hart, W. D., Selmer,
P. A., and Nowottnick, E. P.: CATS Algorithm Theoretical Basis Document,
1st Edn., NASA, Goddard Space Flight Center, Greenbelt, MD, 2015.

</mixed-citation></ref-html>
<ref-html id="bib1.bib173"><label>173</label><mixed-citation>
Yu, P., Toon, O. B., Neely, R. R., Martinsson, B. G., and Brenninkmeijer, C.
A. M.: Composition and physical properties of the Asian Tropopause Aerosol
Layer and the North American Tropospheric Aerosol Layer, Geophys. Res. Lett.,
42, 2540–2546, <a href="https://doi.org/10.1002/2015GL063181" target="_blank">https://doi.org/10.1002/2015GL063181</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib174"><label>174</label><mixed-citation>
Zanchettin, D., Timmreck, C., Graf, H.-F., Rubino, A., Lorenz, S., Lohmann, K.,
Krueger, K., and Jungclaus, J. H.: Bi-decadal variability excited in the coupled
ocean–atmosphere system by strong tropical volcanic eruptions, Clim. Dynam.,
39, 419–444, <a href="https://doi.org/10.1007/s00382-011-1167-1" target="_blank">https://doi.org/10.1007/s00382-011-1167-1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib175"><label>175</label><mixed-citation>
Zanchettin, D., Khodri, M., Timmreck, C., Toohey, M., Schmidt, A., Gerber, E.
P., Hegerl, G., Robock, A., Pausata, F. S. R., Ball, W. T., Bauer, S. E., Bekki,
S., Dhomse, S. S., LeGrande, A. N., Mann, G. W., Marshall, L., Mills, M.,
Marchand, M., Niemeier, U., Poulain, V., Rozanov, E., Rubino, A., Stenke, A.,
Tsigaridis, K., and Tummon, F.: The Model Intercomparison Project on the climatic
response to Volcanic forcing (VolMIP): experimental design and forcing input
data for CMIP6, Geosci. Model Dev., 9, 2701–2719, <a href="https://doi.org/10.5194/gmd-9-2701-2016" target="_blank">https://doi.org/10.5194/gmd-9-2701-2016</a>, 2016.
</mixed-citation></ref-html>--></article>
