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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ESSD</journal-id>
<journal-title-group>
<journal-title>Earth System Science Data</journal-title>
<abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1866-3516</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-9-63-2017</article-id><title-group><article-title>A sudden stratospheric warming compendium</article-title>
      </title-group><?xmltex \runningtitle{A sudden stratospheric warming compendium}?><?xmltex \runningauthor{A.~H.~Butler et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Butler</surname><given-names>Amy H.</given-names></name>
          <email>amy.butler@noaa.gov</email>
        <ext-link>https://orcid.org/0000-0002-3632-0925</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Sjoberg</surname><given-names>Jeremiah P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7606-0566</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Seidel</surname><given-names>Dian J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Rosenlof</surname><given-names>Karen H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0903-8270</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Cooperative Institute for Research in Environmental Sciences,
University of Colorado, Boulder, <?xmltex \hack{\newline}?>CO 80309, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Oceanic and Atmospheric Administration, Earth Systems
Research Laboratory, <?xmltex \hack{\newline}?>Chemical Sciences Division, Boulder, CO 80305, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Oceanic and Atmospheric Administration, Air Resources
Laboratory, College Park, MD 20740, USA</institution>
        </aff>
        <aff id="aff4"><label>*</label><institution>retired</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Amy H. Butler (amy.butler@noaa.gov)</corresp></author-notes><pub-date><day>9</day><month>February</month><year>2017</year></pub-date>
      
      <volume>9</volume>
      <issue>1</issue>
      <fpage>63</fpage><lpage>76</lpage>
      <history>
        <date date-type="received"><day>23</day><month>September</month><year>2016</year></date>
           <date date-type="rev-request"><day>27</day><month>September</month><year>2016</year></date>
           <date date-type="rev-recd"><day>20</day><month>December</month><year>2016</year></date>
           <date date-type="accepted"><day>5</day><month>January</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017.html">This article is available from https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017.html</self-uri>
<self-uri xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017.pdf</self-uri>


      <abstract>
    <p>Major, sudden midwinter stratospheric warmings (SSWs) are large and rapid
temperature increases in the winter polar stratosphere are associated with a
complete reversal of the climatological westerly winds (i.e., the polar
vortex). These extreme events can have substantial impacts on winter surface
climate, including increased frequency of cold air outbreaks over North
America and Eurasia and anomalous warming over Greenland and eastern Canada.
Here we present a SSW Compendium (SSWC), a new database that documents the
evolution of the stratosphere, troposphere, and surface conditions 60 days
prior to and after SSWs for the period 1958–2014. The SSWC comprises data
from six different reanalysis products: MERRA2 (1980–2014), JRA-55
(1958–2014), ERA-interim (1979–2014), ERA-40 (1958–2002), NOAA20CRv2c
(1958–2011), and NCEP-NCAR I (1958–2014). Global gridded daily anomaly
fields, full fields, and derived products are provided for each SSW event.
The compendium will allow users to examine the structure and evolution of
individual SSWs, and the variability among events and among reanalysis
products. The SSWC is archived and maintained by NOAA's National Centers for
Environmental Information (NCEI, <ext-link xlink:href="http://dx.doi.org/10.7289/V5NS0RWP" ext-link-type="DOI">10.7289/V5NS0RWP</ext-link>).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The winter polar stratosphere is highly dynamic. In the
Northern Hemisphere (NH), breaking planetary-scale waves propagating up from
the troposphere or the excitation of resonant modes can lead to the
disruption and deceleration of the climatological westerly circulation of the
polar vortex (see Schoeberl, 1978 for a historical review). Associated with
this wind deceleration is a dramatic warming, sometimes increasing the
temperature of the polar stratosphere by as much as 30–40 K in a few days.
In the most extreme cases, the stratospheric polar vortex can reverse
direction completely in an event called a major sudden stratospheric warming
(SSW). SSWs in the NH occur roughly six times per decade (Charlton and
Polvani, 2007). SSWs can also occur in the Southern Hemisphere (SH), as in a
remarkable case in September 2002 <?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>(Kruger et
al., 2005), but are rare due to smaller planetary wave amplitudes in the SH
(van Loon et al., 1973).</p>
      <p>Large perturbations in the stratospheric circulation can drive changes in
surface climate for days to weeks (Kidston et al.,
2015). In particular, SSWs are often followed by an equatorward shift of the
North Atlantic tropospheric storm track, projecting onto the spatial pattern
of the negative phase of the North Atlantic Oscillation (NAO). On average,
this pattern results in warm anomalies over Greenland, eastern Canada, and
subtropical Africa and Asia and cold anomalies over northern Eurasia and
the eastern United States. However, the impacts of individual SSWs vary
widely, depending on the evolution of the vortex breakdown, the strength of
the stratospheric–tropospheric coupling, and the state of the tropospheric
climate.</p>
      <p>Because of the impact of SSWs on winter surface climate and midlatitude
cold air outbreaks, as well as their potential influence on ozone and
chemical transport (e.g., Manney
et al., 2009; Schoeberl and Hartmann, 1991), tropical convection and
dynamics (e.g., Gómez-Escolar et al., 2014;
Kodera, 2006), and mesospheric processes
(e.g., Hoffmann et al.,
2007), a research-ready database of these events would be useful. Daily
three-dimensional gridded variables are needed to examine the full evolution
and impacts of SSWs. Therefore, reanalysis products, which assimilate
observations to constrain a global climate model, are often used. However, the
calculation of daily anomalies or additional derived products using
reanalysis data can be computationally expensive and storage intensive. In
addition, different reanalyses also differ in time spans, assimilated
observations, assimilation scheme, parameterizations, and model physics. This
makes intercomparison of multiple reanalysis products useful for assessing what
features of SSWs and their associated climate variability are robust.</p>
      <p>Here we describe a SSW Compendium (SSWC), which provides a detailed
historical dataset of major SSWs, allowing users to consider the
development, evolution, and impacts of individual SSWs and to provide a
basis for model evaluation and improvement. A compendium is a concise
compilation of comprehensive information on a specific subject, and
therefore is an appropriate term to describe this dataset. The SSWC includes
data from six established reanalysis products and includes anomaly fields
and additional derived products to highlight the dynamics and effects of SSW
events. We present an overview of the reanalysis source data and the
methodology for SSW event selection and data processing in Sect. 2.
Section 3 discusses potential applications of this database, and Sect. 4
highlights the availability of the database at the National Oceanic and
Atmospheric Administration (NOAA) National Centers for Environmental
Information (NCEI) archives and at the NOAA Earth Systems Research
Laboratory (ESRL).</p>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Reanalysis data</title>
      <p>The SSWC comprises data from six different reanalyses (Table 1):
the National Aeronautics and Space Administration (NASA) Modern-Era
Retrospective-analysis for Research and Applications version 2 (MERRA2),
Japanese 55-year Reanalysis (JRA-55), European Centre for Medium-Range
Weather Forecasts (ECMWF) 40-year Reanalysis (ERA-40), ECMWF Interim
Reanalysis (ERA-interim), NOAA 20th Century Reanalysis version 2c
(NOAA20CRv2c), and NOAA's National Centers for Environmental
Prediction/National Center for Atmospheric Research (NCEP-NCAR I)
reanalysis.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>The reanalyses included in the SSW Compendium.</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="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Reanalysis</oasis:entry>  
         <oasis:entry colname="col2">Time</oasis:entry>  
         <oasis:entry colname="col3">Reference</oasis:entry>  
         <oasis:entry colname="col4">Native horizontal</oasis:entry>  
         <oasis:entry colname="col5">Vertical resolution</oasis:entry>  
         <oasis:entry colname="col6">Model</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">period</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">resolution</oasis:entry>  
         <oasis:entry colname="col5">(model/pressure levels)</oasis:entry>  
         <oasis:entry colname="col6">top</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">ERA-40</oasis:entry>  
         <oasis:entry colname="col2">1958–2002</oasis:entry>  
         <oasis:entry colname="col3">Uppala et al. (2005)</oasis:entry>  
         <oasis:entry colname="col4">1.125<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.125<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">60/23</oasis:entry>  
         <oasis:entry colname="col6">0.1 hPa</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ERA-interim</oasis:entry>  
         <oasis:entry colname="col2">1979–2014</oasis:entry>  
         <oasis:entry colname="col3">Dee et al. (2011)</oasis:entry>  
         <oasis:entry colname="col4">0.75<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.75<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">60/23</oasis:entry>  
         <oasis:entry colname="col6">0.1 hPa</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">JRA-55</oasis:entry>  
         <oasis:entry colname="col2">1958–2014</oasis:entry>  
         <oasis:entry colname="col3">Kobayashi et al. (2015)</oasis:entry>  
         <oasis:entry colname="col4">1.25<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M8" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.25<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">60/37</oasis:entry>  
         <oasis:entry colname="col6">0.1 hPa</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MERRA2</oasis:entry>  
         <oasis:entry colname="col2">1980–2014</oasis:entry>  
         <oasis:entry colname="col3">Molod et al. (2015)</oasis:entry>  
         <oasis:entry colname="col4">0.5<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M11" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.667<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">72/42</oasis:entry>  
         <oasis:entry colname="col6">0.01 hPa</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NCEP-NCAR I</oasis:entry>  
         <oasis:entry colname="col2">1958–2014</oasis:entry>  
         <oasis:entry colname="col3">Kalnay et al. (1996)</oasis:entry>  
         <oasis:entry colname="col4">2.5<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">28/17</oasis:entry>  
         <oasis:entry colname="col6">3 hPa</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NOAA20CRv2c</oasis:entry>  
         <oasis:entry colname="col2">1958–2014</oasis:entry>  
         <oasis:entry colname="col3">Compo et al. (2011)</oasis:entry>  
         <oasis:entry colname="col4">2<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M17" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">28/24</oasis:entry>  
         <oasis:entry colname="col6">10 hPa</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Reanalyses are derived from observations from multiple sources (including
surface observations, aircraft, radiosondes, rocketsondes, and satellites)
that are assimilated by global coupled land–atmosphere–ocean models to
create spatially and temporally complete observational records. There
are advantages and disadvantages of using reanalysis products for this
database, as opposed to individual measurement sources or various
stratospheric analyses. These analyses include that from the Freie
Universitat Berlin, which produces a database of continuous daily gridded
synoptic-scale analyses based largely on radiosonde measurements, but only
for three stratospheric levels for a 35-year period (Labitzke and
Collaborators, 2002), and from the NOAA Climate Prediction Center (CPC),
which offers analyzed stratospheric temperatures at eight stratospheric
levels based on satellite retrievals of the advanced microwave sounding unit
(AMSU). The major advantage of reanalysis is that it allows consideration of the
evolution of SSWs and their impacts throughout the entire atmosphere with a
spatial and temporal extent that is not feasible using individual
measurements or stratospheric analyses alone. A major disadvantage of using
reanalysis is that due to sparse observations, particularly in the
pre-satellite era, stratospheric reanalysis is poorly constrained,
especially above 10 hPa
(Manney et al., 2003), and
tropospheric reanalysis may be poorly constrained over oceans and remote
regions  (e.g., Bosilovich et al.,
2008). Reanalyses can also suffer from upper-boundary effects and
discontinuities due to model streams or changes in the observations being
assimilated  (Fujiwara et
al., 2016; Labitzke and Kunze, 2005). These issues should not have a strong
effect on the daily-to-seasonal timescales documented in the SSWC, but
should be kept in mind, especially for data above 10 hPa where the
discontinuities are conspicuous.</p>
      <p>Some biases and uncertainties in individual reanalysis products have been
documented (see references in Table 1), and an evaluation of their
stratospheric processes is currently the focus of an international effort by
the Stratosphere-troposphere Processes And their Role in Climate (SPARC)
Reanalysis Intercomparison Project (S-RIP;  Fujiwara et
al., 2016). While initial studies have shown that stratospheric dynamics and
variability of and coupling to the surface are reasonably simulated in
reanalyses (Martineau and Son, 2010), particularly in the latest
generation products (Martineau et al., 2016), the SSWC
enables quick comparison between reanalyses of sudden stratospheric warming
events and their evolution on daily timescales. This capability is important
when considering the substantial volume of data needed to calculate the
daily climatology and anomalies for each grid point and pressure level in
each reanalysis.</p>
      <p>Certain reanalysis output provided in the SSWC should be used with caution.
For example, we provide the reanalysis ozone mass mixing ratio and total
column ozone output (where available) since there are interesting changes in
ozone following a SSW event (e.g., Fig. 3). However, users should
be aware that most reanalysis ozone fields are based on assimilated
satellite measurements that utilize backscattered sunlight and cannot
measure ozone during polar night. Reanalysis systems thus rely heavily on
the model, which typically parameterizes heterogeneous chemistry, to
simulate ozone at high latitudes, leading to potentially high errors
(Dethof and Hólm, 2004;
Dragani, 2011).</p>
      <p>In addition, the evolution of SSW events prior to 1964, when concentrated
efforts to observe the upper atmosphere using radiosondes and rocketsondes
were begun in association with the International Years of the Quiet Sun
(IQSY), should be viewed with skepticism. Even radiosonde measurements of
the stratosphere were very limited during that time period, and so
reanalysis fields may be almost entirely model-driven.</p>
      <p>The NOAA20CRv2c is unique among the reanalyses, because it assimilates only
surface pressure observations. Thus, the stratosphere is not constrained by
any stratospheric observations, and the reanalysis winds are not realistic
(Compo et al., 2011). However, because
surface pressure observations do a reasonable job of constraining the model
throughout the northern hemispheric troposphere
(Compo et al., 2011), we include the
NOAA20CRv2c to examine the tropospheric impacts of SSWs, using SSW event
dates given by the JRA-55 reanalysis (Table 2). The NOAA20CRv2c
reanalysis provides the unique opportunity to examine tropospheric and
stratospheric interaction prior to and following SSWs, when only the surface
is constrained by observations.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>The central dates of NH SSWs detected in each reanalysis
product<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>. Empty cells indicate that no data are available;
stars indicate that data are available but no SSW was detected.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="right"/>
     <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 rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">ERA-40</oasis:entry>  
         <oasis:entry colname="col3">ERA-interim</oasis:entry>  
         <oasis:entry colname="col4">JRA-55</oasis:entry>  
         <oasis:entry colname="col5">MERRA2</oasis:entry>  
         <oasis:entry colname="col6">NCEP-NCAR I</oasis:entry>  
         <oasis:entry colname="col7">NOAA20CR</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">31-Jan-58</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">30-Jan-58</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">30-Jan-58</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">****</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">****</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">30-Nov-58</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">17-Jan-60</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">17-Jan-60</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">16-Jan-60</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">28-Jan-63</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">30-Jan-63</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">****</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">****</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">23-Mar-65</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">16-Dec-65</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">18-Dec-65</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">8-Dec-65</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">23-Feb-66</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">23-Feb-66</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">24-Feb-66</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">7-Jan-68</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">7-Jan-68</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">28-Nov-68</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">29-Nov-68</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">27-Nov-68</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10</oasis:entry>  
         <oasis:entry colname="col2">13-Mar-69</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">****</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">13-Mar-69</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11</oasis:entry>  
         <oasis:entry colname="col2">2-Jan-70</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">2-Jan-70</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">2-Jan-70</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">12</oasis:entry>  
         <oasis:entry colname="col2">18-Jan-71</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">18-Jan-71</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">17-Jan-71</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13</oasis:entry>  
         <oasis:entry colname="col2">20-Mar-71</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">20-Mar-71</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">20-Mar-71</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">14</oasis:entry>  
         <oasis:entry colname="col2">31-Jan-73</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">31-Jan-73</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">2-Feb-73</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15</oasis:entry>  
         <oasis:entry colname="col2">9-Jan-77</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">9-Jan-77</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">16</oasis:entry>  
         <oasis:entry colname="col2">22-Feb-79</oasis:entry>  
         <oasis:entry colname="col3">22-Feb-79</oasis:entry>  
         <oasis:entry colname="col4">22-Feb-79</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">22-Feb-79</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">17</oasis:entry>  
         <oasis:entry colname="col2">29-Feb-80</oasis:entry>  
         <oasis:entry colname="col3">29-Feb-80</oasis:entry>  
         <oasis:entry colname="col4">29-Feb-80</oasis:entry>  
         <oasis:entry colname="col5">29-Feb-80</oasis:entry>  
         <oasis:entry colname="col6">29-Feb-80</oasis:entry>  
         <oasis:entry colname="col7">18-Mar-80</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">18</oasis:entry>  
         <oasis:entry colname="col2">****</oasis:entry>  
         <oasis:entry colname="col3">****</oasis:entry>  
         <oasis:entry colname="col4">6-Feb-81</oasis:entry>  
         <oasis:entry colname="col5">****</oasis:entry>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">19</oasis:entry>  
         <oasis:entry colname="col2">4-Mar-81</oasis:entry>  
         <oasis:entry colname="col3">4-Mar-81</oasis:entry>  
         <oasis:entry colname="col4">4-Mar-81</oasis:entry>  
         <oasis:entry colname="col5">****</oasis:entry>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">20</oasis:entry>  
         <oasis:entry colname="col2">4-Dec-81</oasis:entry>  
         <oasis:entry colname="col3">4-Dec-81</oasis:entry>  
         <oasis:entry colname="col4">4-Dec-81</oasis:entry>  
         <oasis:entry colname="col5">4-Dec-81</oasis:entry>  
         <oasis:entry colname="col6">4-Dec-81</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">21</oasis:entry>  
         <oasis:entry colname="col2">24-Feb-84</oasis:entry>  
         <oasis:entry colname="col3">24-Feb-84</oasis:entry>  
         <oasis:entry colname="col4">24-Feb-84</oasis:entry>  
         <oasis:entry colname="col5">24-Feb-84</oasis:entry>  
         <oasis:entry colname="col6">24-Feb-84</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">22</oasis:entry>  
         <oasis:entry colname="col2">1-Jan-85</oasis:entry>  
         <oasis:entry colname="col3">1-Jan-85</oasis:entry>  
         <oasis:entry colname="col4">1-Jan-85</oasis:entry>  
         <oasis:entry colname="col5">1-Jan-85</oasis:entry>  
         <oasis:entry colname="col6">2-Jan-85</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">23</oasis:entry>  
         <oasis:entry colname="col2">23-Jan-87</oasis:entry>  
         <oasis:entry colname="col3">23-Jan-87</oasis:entry>  
         <oasis:entry colname="col4">23-Jan-87</oasis:entry>  
         <oasis:entry colname="col5">23-Jan87</oasis:entry>  
         <oasis:entry colname="col6">23-Jan-87</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">24</oasis:entry>  
         <oasis:entry colname="col2">8-Dec-87</oasis:entry>  
         <oasis:entry colname="col3">8-Dec-87</oasis:entry>  
         <oasis:entry colname="col4">8-Dec-87</oasis:entry>  
         <oasis:entry colname="col5">8-Dec-87</oasis:entry>  
         <oasis:entry colname="col6">8-Dec-87</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">25</oasis:entry>  
         <oasis:entry colname="col2">14-Mar-88</oasis:entry>  
         <oasis:entry colname="col3">14-Mar-88</oasis:entry>  
         <oasis:entry colname="col4">14-Mar-88</oasis:entry>  
         <oasis:entry colname="col5">14-Mar-88</oasis:entry>  
         <oasis:entry colname="col6">14-Mar-88</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">26</oasis:entry>  
         <oasis:entry colname="col2">21-Feb-89</oasis:entry>  
         <oasis:entry colname="col3">21-Feb-89</oasis:entry>  
         <oasis:entry colname="col4">21-Feb-89</oasis:entry>  
         <oasis:entry colname="col5">21-Feb-89</oasis:entry>  
         <oasis:entry colname="col6">22-Feb-89</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">27</oasis:entry>  
         <oasis:entry colname="col2">15-Dec-98</oasis:entry>  
         <oasis:entry colname="col3">15-Dec-98</oasis:entry>  
         <oasis:entry colname="col4">15-Dec-98</oasis:entry>  
         <oasis:entry colname="col5">15-Dec-98</oasis:entry>  
         <oasis:entry colname="col6">15-Dec-98</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">28</oasis:entry>  
         <oasis:entry colname="col2">26-Feb-99</oasis:entry>  
         <oasis:entry colname="col3">26-Feb-99</oasis:entry>  
         <oasis:entry colname="col4">26-Feb-99</oasis:entry>  
         <oasis:entry colname="col5">26-Feb-99</oasis:entry>  
         <oasis:entry colname="col6">25-Feb-99</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">29</oasis:entry>  
         <oasis:entry colname="col2">20-Mar-00</oasis:entry>  
         <oasis:entry colname="col3">20-Mar-00</oasis:entry>  
         <oasis:entry colname="col4">20-Mar-00</oasis:entry>  
         <oasis:entry colname="col5">20-Mar-00</oasis:entry>  
         <oasis:entry colname="col6">20-Mar-00</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">30</oasis:entry>  
         <oasis:entry colname="col2">11-Feb-01</oasis:entry>  
         <oasis:entry colname="col3">11-Feb-01</oasis:entry>  
         <oasis:entry colname="col4">11-Feb-01</oasis:entry>  
         <oasis:entry colname="col5">11-Feb-01</oasis:entry>  
         <oasis:entry colname="col6">11-Feb-01</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">31</oasis:entry>  
         <oasis:entry colname="col2">31-Dec-01</oasis:entry>  
         <oasis:entry colname="col3">30-Dec-01</oasis:entry>  
         <oasis:entry colname="col4">31-Dec-01</oasis:entry>  
         <oasis:entry colname="col5">30-Dec-01</oasis:entry>  
         <oasis:entry colname="col6">2-Jan-02</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">32</oasis:entry>  
         <oasis:entry colname="col2">18-Feb-02</oasis:entry>  
         <oasis:entry colname="col3">****</oasis:entry>  
         <oasis:entry colname="col4">****</oasis:entry>  
         <oasis:entry colname="col5">17-Feb-02</oasis:entry>  
         <oasis:entry colname="col6">****</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">33</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">18-Jan-03</oasis:entry>  
         <oasis:entry colname="col4">18-Jan-03</oasis:entry>  
         <oasis:entry colname="col5">18-Jan-03</oasis:entry>  
         <oasis:entry colname="col6">18-Jan-03</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">34</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">5-Jan-04</oasis:entry>  
         <oasis:entry colname="col4">5-Jan-04</oasis:entry>  
         <oasis:entry colname="col5">5-Jan-04</oasis:entry>  
         <oasis:entry colname="col6">7-Jan-04</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">35</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">21-Jan-06</oasis:entry>  
         <oasis:entry colname="col4">21-Jan-06</oasis:entry>  
         <oasis:entry colname="col5">21-Jan-06</oasis:entry>  
         <oasis:entry colname="col6">21-Jan-06</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">36</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">24-Feb-07</oasis:entry>  
         <oasis:entry colname="col4">24-Feb-07</oasis:entry>  
         <oasis:entry colname="col5">24-Feb-07</oasis:entry>  
         <oasis:entry colname="col6">24-Feb-07</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">37</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">22-Feb-08</oasis:entry>  
         <oasis:entry colname="col4">22-Feb-08</oasis:entry>  
         <oasis:entry colname="col5">22-Feb-08</oasis:entry>  
         <oasis:entry colname="col6">22-Feb-08</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">38</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">24-Jan-09</oasis:entry>  
         <oasis:entry colname="col4">24-Jan-09</oasis:entry>  
         <oasis:entry colname="col5">24-Jan-09</oasis:entry>  
         <oasis:entry colname="col6">24-Jan-09</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">39</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">9-Feb-10</oasis:entry>  
         <oasis:entry colname="col4">9-Feb-10</oasis:entry>  
         <oasis:entry colname="col5">9-Feb-10</oasis:entry>  
         <oasis:entry colname="col6">9-Feb-10</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">40</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">24-Mar-10</oasis:entry>  
         <oasis:entry colname="col4">24-Mar-10</oasis:entry>  
         <oasis:entry colname="col5">24-Mar-10</oasis:entry>  
         <oasis:entry colname="col6">24-Mar-10</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">41</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">06-Jan-13</oasis:entry>  
         <oasis:entry colname="col4">07-Jan-13</oasis:entry>  
         <oasis:entry colname="col5">06-Jan-13</oasis:entry>  
         <oasis:entry colname="col6">07-Jan-13</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> These are the detected events in each reanalysis, but in the SSWC we
provide data for all dates shown in this table for all reanalyses.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Event selection</title>
      <p><italic>Major</italic> SSWs occur when the winter polar stratospheric westerlies reverse to
easterlies. In <italic>minor</italic> <italic>warmings</italic>, the polar temperature gradient reverses but the
circulation does not, and in <italic>final</italic> <italic>warmings</italic>, the vortex breaks down and remains easterly
until the following boreal autumn. Because no unambiguous standard
definition for major, minor, and final warmings yet exists
(Butler et al., 2015), selecting SSW events to
include in the Compendium is not straightforward.</p>
      <p>The primary goal of the SSWC is to provide data for major SSWs, which have
been found to have the largest surface impacts
(Palmeiro et al., 2015). We recognize that
any criteria we use may also select marginal events or miss events that
perhaps should be considered major in terms of surface influences. We employ
the following simple, commonly used definition for major warmings
(Charlton and Polvani 2007; hereafter CP07): the <italic>central date</italic> or <italic>event date</italic> of a
SSW occurs when the daily-mean zonal-mean zonal winds at 10 hPa and
60<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N first change from westerly to easterly between November and
March. The winds must return to westerly for 20 consecutive days between
events (to avoid counting the same event twice, roughly equivalent to the
thermal damping timescale at 10 hPa;  Newman and
Rosenfield, 1997). If the winds do not return to westerly for at least 10
consecutive days before 30 April, the warming is a final warming and is not
included. The central dates for major NH SSWs in each reanalysis are
provided in Table 2. We include in the SSW Compendium, for each
reanalysis, every event detected in any reanalysis and shown in
Table 2 (for example, we include data for the 30 November 1958 event for
all reanalyses extending back to 1958, even though it was only detected in
NCEP-NCAR). This includes the NOAA20CRv2c, even though that reanalysis
detects only a single event.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Temperature anomalies at 10 hPa (shading, (K)) and the potential
vorticity at 550 K (contours shown for 75, 100, and 125 PV units) during
(left) an inactive (or strong) phase of the polar vortex
(<inline-formula><mml:math id="M22" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 January 2009), (center) a vortex displacement following the
23 January 1987 event, and (right) a vortex split following the 24 January 2009
event. MERRA2 reanalysis is used.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f01.png"/>

        </fig>

      <p>There are two main types of SSW: <italic>displacement</italic> events in which the stratospheric polar
vortex is displaced from the pole and <italic>split</italic> events in which the vortex splits
into two or more vortices (Fig. 1). Some SSWs are a combination
of both types. There are a number of methods for determining the type of SSW.
We do not attempt to classify event types here; however, we do provide the
filtered (and unfiltered) absolute vorticity field at 10 hPa (see
Sect. 2.3), which may enable classification of split-type SSWs
according to the CP07 definition, in which the edges of the vortex are
identified by the location of the maximum absolute vorticity gradient. We
also provide potential vorticity (PV) interpolated onto isentropic surfaces,
and geopotential heights at 10 hPa, both of which can be used to assess
vortex moment diagnostics and determine the SSW type
(Mitchell et al., 2011; Seviour et
al., 2013; Waugh, 1997). We note that the vortex moment diagnostics detect
some different dates of SSWs compared to CP07 (and these events are not
included in the Compendium), but the provided data would allow
classification of the included events.</p>
      <p>While almost all SSWs occur in the NH, we did examine their occurrence in
the SH in the reanalyses (Table 3). The relevant dates for
zonal-mean zonal wind reversals at 10 hPa and 60<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S were between
July and October, and the winds must return to westerly for at least 10
consecutive days before 30 November. Keeping in mind that prior to 1979
there were hardly any observations of the SH polar stratosphere, making
reanalyses highly unconstrained, the only event detected occurred in
September 2002. This event is included in the SSWC.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data processing</title>
      <p>The production flowchart for the SSWC is shown in Fig. 2. We
obtained the native horizontal and vertical pressure-level data for each
reanalysis from various research data archives: NOAA20CRv2c and NCEP/NCAR I
from the NOAA Earth System Research Laboratory, Physical Sciences Division
(<uri>http://www.esrl.noaa.gov/psd/data/gridded/</uri>); JRA-55, ERA-interim, and
ERA-40 from the University Corporation for Atmospheric Research (UCAR)
Research Data Archive (<uri>http://rda.ucar.edu/</uri>); and MERRA-2 from the Modeling
and Assimilation Data and Information Services Center (MDISC,
<uri>http://disc.sci.gsfc.nasa.gov/mdisc/</uri>).</p>
      <p>We extracted the following fields (when available): vertically integrated
total column ozone; zonal winds, meridional winds, temperatures,
geopotential heights, Ertel's potential vorticity (PV), and ozone mixing
ratio, on provided pressure levels; and at the surface, mean daily
temperature, minimum daily temperature, maximum daily temperature, mean
sea level pressure, surface pressure, total precipitation liquid water
equivalent, and total snowfall liquid water equivalent. Most raw reanalysis
output is available every 6 h (for pressure-level fields) and sometimes
up to every 3 h (for surface-level fields), but we computed daily means
of all fields for the SSWC. We interpolated pressure-level fields onto a
2.5<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude–longitude grid, while the
surface-level fields are maintained at native horizontal resolution. We
retained data on provided pressure levels, but we interpolated certain
fields (PV and ozone mixing ratio) onto isentropic surfaces. Unless
isentropic-level data are provided, we calculated potential temperature
(<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from temperature data on pressure levels using Eq. (1):

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M28" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi>p</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M29" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M30" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> are atmospheric temperature and pressure, respectively,
<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a reference pressure defined as 1000 hPa, <inline-formula><mml:math id="M32" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the molar gas
constant (287 J deg<inline-formula><mml:math id="M33" 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> kg<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat
capacity at constant pressure (1004 J deg<inline-formula><mml:math id="M36" 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> kg<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The data,
either on pressure or isentropic levels, are linearly interpolated at each
time step onto 10 common isentropes (330, 350, 400, 450, 500, 550, 600, 700,
850, and 1000 K). Note that in JRA-55, isentropic-level data are provided
but not at the 1000 K surface; therefore, in the SSWC missing values are
indicated for this theta level.</p>
      <p>There are two types of output provided by the SSWC: climatological
statistics and event-based data. Climatological statistic files include the
mean and standard deviations of all output fields and percentiles from the
climatological distribution for a selection of surface fields: minimum and
maximum surface temperature and precipitation. The climatological statistics
are defined at each spatial point for 366 days spanning 1 July–30 June.
The climatological mean is based on the entire time period of each
reanalysis (Table 1). To calculate the climatological mean, we
first calculate the mean of each day of the year over the full record. Then
we calculate the Fourier transform of this daily mean climatology and retain
the first four harmonics of the Fourier series (e.g., Wilks,
2006). This methodology smooths out the raw daily climatology while
preserving low-frequency variability. The standard deviation is then
calculated by taking the square root of the squared deviations in the raw
daily data from this smoothed climatological mean. Percentiles are
calculated following a method described in
Zhang et al. (2005; see Eq. 1).
Chosen percentiles are 5, 10, 90, and 95 %. These statistics are
calculated using the entire data record.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>The central dates of the SH SSW detected in each reanalysis
product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="right"/>
     <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 rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">ERA-40</oasis:entry>  
         <oasis:entry colname="col3">ERA-interim</oasis:entry>  
         <oasis:entry colname="col4">JRA-55</oasis:entry>  
         <oasis:entry colname="col5">MERRA2</oasis:entry>  
         <oasis:entry colname="col6">NCEP-NCAR I</oasis:entry>  
         <oasis:entry colname="col7">NOAA20CR</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">25-Sep-02</oasis:entry>  
         <oasis:entry colname="col4">26-Sep-02</oasis:entry>  
         <oasis:entry colname="col5">26-Sep-02</oasis:entry>  
         <oasis:entry colname="col6">26-Sep-02</oasis:entry>  
         <oasis:entry colname="col7">****</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Flowchart showing how
the SSWC can be used as is or the different steps to produce the dataset.</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f02.png"/>

        </fig>

      <p>Event-based files contain full field, anomaly, and derived fields for the
60 days prior to and following each SSW event in Tables 2 and 3. Anomalies
are calculated using the smoothed climatology for each field, using the
entire data record for each reanalysis. We caution that, while the
climatologies for different time periods are generally quite similar, using
different periods for the climatology for each reanalysis means that
differences in reanalysis anomaly fields may partially be a result of the
climatology chosen. In addition to full fields and anomalies, we derive a
number of useful diagnostics for understanding dynamic processes and surface
climate surrounding SSW events, as described below:
<list list-type="order"><list-item>
      <p>We provide the maximum and minimum daily temperatures. NCEP-NCAR I provides this
output; we calculate these values for the other reanalyses. Note that no
interpolation is used – just the minimum and maximum values of the 3 or 6
hourly data – so these values may underestimate the true maximum and
minimum daily temperatures.</p></list-item><list-item>
      <p>We provide standardized geopotential height anomalies. The geopotential heights are
standardized by subtracting the mean and dividing by the standard deviation
for the particular day of year and grid point.</p></list-item><list-item>
      <p>We provide absolute vorticity (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at 10 hPa. This is
calculated from the 2.5<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> gridded zonal and
meridional wind fields using the vorticity equation in spherical coordinates:<disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M42" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ζ</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mo mathsize="1.5em">(</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>a</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>a</mml:mi><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="1.5em">)</mml:mo><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>where <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> is relative vorticity (defined by the parenthetical terms on
the right-most side of the equation), <inline-formula><mml:math id="M44" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis
force
(2<inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></inline-formula>sin<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M47" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is the Earth's radius, <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> is the
latitude in radians, <inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the longitude in radians, <inline-formula><mml:math id="M50" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> is the zonal
wind, and <inline-formula><mml:math id="M51" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> is the meridional wind.</p></list-item><list-item>
      <p>We provide filtered absolute vorticity at 10 hPa. Here the absolute vorticity has
been subject to a spherical smoothing procedure, in which the absolute
vorticity is transformed into spherical harmonic space and subsequently
transformed back while retaining only the first 11 harmonic coefficients. 
This filtering is part of CP07's event-type determination algorithm.</p></list-item><list-item>
      <p>We provide zonal-mean eddy meridional heat flux (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and its wave-number 1 and
2 components, as a function of pressure level and latitude. Here the primes
(<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>) indicate deviations from the zonal mean. These are calculated using
daily data. The wave-number components are found by applying a Fourier
transform to the longitude dimension.</p></list-item><list-item>
      <p>We provide zonal-mean eddy meridional momentum flux <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and its
wave-number 1 and 2 components, as a function of pressure level and latitude.</p></list-item><list-item>
      <p>We provide the Northern Annular Mode (NAM) and the Southern Annular Mode (SAM)
indices. The NAM or SAM patterns are calculated as the first empirical orthogonal
function (EOF) of daily-mean zonal-mean geopotential height anomalies from 20
to 90<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N or S. The NAM or SAM indices are the principal component time series
corresponding to the first EOF for each hemisphere (Baldwin and Thompson,
2009). In the stratosphere, the annular mode is related to the strength of
the polar vortex; in the troposphere, the annular mode is related to shifts
in the tropospheric storm tracks (Gerber et al., 2012; Thompson et al.,
2000).</p></list-item><list-item>
      <p>We provide extreme events. For each grid space, either a 0 or 1 is given if the
daily precipitation, minimum temperature, or maximum temperature anomaly
exceeds a certain threshold. For precipitation, the anomaly must exceed the
95th percentile. Temperature anomalies must either be less than the
5th or 10th percentile or greater than the 90th or 95th
percentile.</p></list-item><list-item>
      <p>We provide time series of the location of maximum stratospheric warming within the
region of 30–90<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and between 300 to 1 hPa (or as high
as the reanalysis provides). This includes the geopotential height,
latitude, longitude, and pressure of the maximum temperature anomaly. Time
series of the location of the minimum zonal wind anomaly are also included
for the same region.</p></list-item><list-item>
      <p>We provide time from the SSW event at which the zonal-mean zonal wind becomes
easterly, as a function of pressure and latitude.</p></list-item><list-item>
      <p>We provide pressure level at which the zonal-mean zonal wind becomes easterly, as
a function of time and latitude.</p></list-item></list>
Finally, a number of climate indices based on independent observations (not
reanalysis data) have been included to provide a sense of other sources of
climate variability that may be contributing to both the forcing of
individual SSWs and the surface climate impacts. These include
<list list-type="order"><list-item>
      <p>measures of the phase of the El Niño–Southern Oscillation (ENSO).
These indices allow the user to assess the state of the tropical Pacific,
which has important winter effects on midlatitude climate. SSWs have
been found to occur in 80 % of El Niño winters (Butler and
Polvani, 2011) and may modify the El Niño teleconnections when they
occur  (Butler et al.,
2014; Richter et al., 2015). The Multivariate ENSO Index (MEI) is calculated
as the first principal component of six different observed variables
combined. The MEI data are from NOAA Physical Sciences Division (PSD):
<uri>http://www.esrl.noaa.gov/psd/enso/mei/table.html</uri>. In addition
to the MEI, we also provide the Oceanic Niño Index (ONI) and the
Southern Oscillation Index (SOI). The ONI is calculated as the 3-month
running mean of sea surface temperature anomalies in the Niño 3.4
region, based on a centered 30-year base period updated every 5 years.
The ONI data are from the NOAA CPC:
<uri>http://www.cpc.ncep.noaa.gov/products/analysis_monitoring/ensostuff/detrend.nino34.ascii.txt</uri>. The SOI is calculated as the
difference between the standardized sea level pressure at Tahiti and Darwin.
The SOI data are from the NOAA CPC: <uri>http://www.cpc.ncep.noaa.gov/data/indices/soi</uri>. All of these indices have
been linearly interpolated from monthly data to daily data, assuming the
monthly values are centered on the 15th of the month;</p></list-item><list-item>
      <p>the outgoing long-wave radiation Madden–Julian Oscillation (MJO) Index
(OMI) amplitude and phase. SSWs may be related to the anomalous convection
generated by the MJO during certain phases  (e.g.,
Garfinkel et al., 2014). The OMI daily data are from NOAA PSD:
<uri>http://www.esrl.noaa.gov/psd/mjo/mjoindex/omi.1x.txt</uri>;</p></list-item><list-item>
      <p>the equatorial zonal winds measured by radiosondes near the equator,
provided at 10, 30, 50, and 70 hPa, as a measure of the Quasi-Biennial
Oscillation (QBO). The QBO is thought to modulate the frequency of SSWs via
changes in wave propagation (Baldwin et al., 2001;
Dunkerton et al., 1988), perhaps in relation to the solar cycle
(Labitzke et al., 2006). The QBO data
are provided by Freie Universitat of Berlin: <uri>http://www.geo.fu-berlin.de/en/met/ag/strat/produkte/qbo/</uri>. These have been
linearly interpolated from monthly data to daily data.</p></list-item></list>
We acknowledge that other variables and indices may be useful for examining
SSW dynamics, such as the Eliassen–Palm flux vector components or
transformed Eulerian-mean diagnostics. Some of these diagnostics could be
calculated using the provided daily data on pressure levels, though this may
be imprecise relative to calculations on native model levels. Model-level
data are often used for analyzing transport and processes near the
tropopause, where vertical resolution on provided pressure levels may be
inadequate or may introduce interpolation errors. Regardless, the SSWC is
useful for a wide range of applications, as featured in the next section.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Applications</title>
      <p>Here we highlight three types of potential applications of the SSWC: (i) composite analysis, (ii) individual event analysis, and (iii) reanalysis
intercomparison.</p>
<sec id="Ch1.S3.SS1">
  <title>Composite analysis</title>
      <p>Assessing the composite response to SSWs is useful for separating the
signals from internal noise and identifying where the signal is robust.
Figure 3 shows, as a function of pressure level and time before and
after the event, (a) zonal-mean zonal winds at 60<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and
zonal-mean temperature anomalies averaged from 50 to 90<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, (b) the
Northern Annular Mode index at each pressure level, and (c) ozone mixing
ratios from 60 to 90<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, composited over all 41 northern hemispheric
SSW events (Table 2), using the JRA-55 reanalysis. Figure 4 shows the surface response composited over the 60 days following the
central date of all SSWs, including (a) mean sea level pressure anomalies,
(b) surface temperature anomalies, and (c) precipitation anomalies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Composites of the 60 days before and after historical SSWs in the
JRA-55 reanalysis for <bold>(a)</bold> temperature anomalies averaged from
50–90<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (contour levels are 2 K, bold line is 0 K) and zonal-mean
zonal winds at 60<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (shading, (m s<inline-formula><mml:math id="M62" 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>)), <bold>(b)</bold> the Northern
Annular Mode (NAM) index (stdevs), and <bold>(c)</bold> ozone mass mixing ratio anomalies
from 60 to 90<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (ppmv).</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f03.png"/>

        </fig>

      <p>These two figures illustrate several important and well-known features of
SSWs and their impacts on circulation and surface climate
(e.g., Baldwin and Dunkerton, 2001). In the
stratosphere, the zonal-mean zonal winds change from westerly to easterly at
10 hPa and 60<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N at lag zero (the central date), as constructed by
the SSW definition (Fig. 3a). The zonal wind reversal is strongest
near <inline-formula><mml:math id="M65" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 hPa. In the composite, a complete wind reversal
extends from 1 hPa down to <inline-formula><mml:math id="M66" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 hPa, but a deceleration of the
zonal winds extends throughout the whole stratosphere. The peak warming of
the stratosphere occurs <inline-formula><mml:math id="M67" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 day before the peak zonal wind
reversal, and its location at <inline-formula><mml:math id="M68" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7 hPa is consistent with peak
zonal wind decreases at higher altitudes, per the thermal wind relationship.
At 10 hPa and higher, the zonal winds and temperatures rebound quickly after
the SSW, reforming a colder westerly vortex above 10 hPa after 10–15 days.
In the lower stratosphere, warmer, weaker vortex conditions persist 60 days
following the SSW due to slow radiative timescales
(Newman and Rosenfield, 1997). These changes near the
tropopause may increase the persistence of the negative NAM phase in the
troposphere (Fig. 3b), potentially providing a source of predictive
skill for up to 60 days after the occurrence of the SSW
(Maycock and Hitchcock, 2015). Following the SSW, the
stratospheric ozone over the polar cap is greatly enhanced (Fig. 3c), both due to the increased transport of ozone-rich air into the
stratosphere via the residual mean circulation and the horizontal mixing of
high-ozone air into the region as the low-ozone region of the polar vortex
is moved off the pole (either in one or two lobes, depending on whether a
split- or displacement-type event has occurred).</p>
      <p>At the surface, the composite response in mean sea level pressure anomalies
comprises an anomalous high over the polar cap and Greenland and an
anomalous low over the North Atlantic, a pattern that projects well onto
the negative phase of the NAO, the regional equivalent of the NAM
(Fig. 4a). The associated surface temperature anomalies include
significant warming over western Greenland and eastern Canada and strong
cold air outbreaks over much of northern Europe, Asia, and the eastern
United States (Fig. 4b). Conditions are also anomalously wet over
western and central Europe and dry over Scandinavia (Fig. 4c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Composites of the 60 days after historical SSWs in the JRA-55
reanalysis for <bold>(a)</bold> mean sea level pressure anomalies (hPa), <bold>(b)</bold> surface
temperature anomalies (K), and <bold>(c)</bold> precipitation anomalies (mm). The
stippling indicates regions that are significantly different from the climatology at the 95 %
level.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f04.png"/>

        </fig>

      <p>Composite analysis could also be used to consider differences in SSW
evolution and impacts in relation to other factors, such as the differences
between split- and displacement- type events, the differences between events
that occur in El Niño or La Niña winters, or the different phases of
the MJO. Figure 5 highlights the differences in the evolution of the
500 hPa geopotential height anomalies prior to and after a SSW during La
Niña versus El Niño winters. Here we use the
December–January–February ONI index to classify El Niño and La Niña
years, with winters with ONI exceeding <inline-formula><mml:math id="M69" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.5 <inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C defined as El
Niño years and winters with ONI below <inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5 <inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C defined as La
Niña years. While the sample size for these composites is small (13
events during El Niño years, 9 events during La Niña years), some
major features are apparent; for example, the trough during El Niño and
the ridge during La Niña in the North Pacific are evident throughout the
evolution of the SSW. Note, however, the intensification of low-pressure
anomalies in the northwest Pacific in the 60 days prior to SSWs in both El
Niño and La Niña winters, a feature theorized in Garfinkel et
al. (2012) to amplify planetary-scale waves from the troposphere into the
stratosphere and weaken the stratospheric polar vortex. During El Niño
winters, the tropospheric circulation pattern is strongest over North America
in the days prior to a SSW, but strongest over the North Atlantic after a
SSW. During La Niña winters, the anomalies over Greenland and Europe
change sign before and after a SSW event, demonstrating the role of SSWs in
winter climate over the North Atlantic–European region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Composites of the 500 hPa geopotential height anomalies (m) in
JRA-55 reanalysis for <bold>(a)</bold> days <inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>60 to 0 prior to historical SSWs
and <bold>(b)</bold> days 0 to <inline-formula><mml:math id="M74" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60 after historical SSWs for (top row) El
Niño winters and (bottom row) La Niña winters. The stippling
indicates regions that are significantly different from the climatology at
the 95 % level. There are 13 events during El Niño winters and 9 events
during La Niña winters. Here, if two SSWs occurred in one winter, we only
considered the first event of the winter to avoid oversampling. </p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Individual event analysis</title>
      <p>While compositing is useful for highlighting robust features of SSWs, the
dynamic evolution and surface climate anomalies before and after each
individual SSW can vary widely. The SSWC can be used to demonstrate this
range of variability. Figure 6 illustrates the differences in the
tropospheric climate following two similar split-type SSWs, one in
January 1985 and the other in January 2009. In both events, the polar vortex
split into two lobes: the one associated with the greatest warming anomalies
centered over Canada and the other centered over northern Europe and Asia
(Fig. 6a, b). The 2009 split SSW had a larger lobe that extended over most
of Eurasia, but otherwise the stratospheric evolution was quite similar.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Comparison of two split-type SSW events, <bold>(a, c)</bold>
1 January 1985 and <bold>(b, d)</bold> 24 January 2009, for ERA-interim
reanalysis. The top row <bold>(a, b)</bold> shows the 10 hPa temperature
anomalies (shading, (K)) and the potential vorticity at 550 K (contours shown
for 75, 100, and 125 PV units) at <inline-formula><mml:math id="M75" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 days after the central date of the
event. The bottom row <bold>(c, d)</bold> shows the surface temperature anomalies
(shading, (K)) and the 500 hPa geopotential height anomalies (contour
interval is 50 m, zero line is bold) averaged days 0–60 after the central
date of the event.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f06.png"/>

        </fig>

      <p>However, the subsequent surface and tropospheric responses in the weeks
following the events differed in several ways. The 500 hPa height anomaly
pattern following the 1985 event projects strongly onto the negative NAO
pattern (Fig. 6c), with positive height anomalies over Greenland and
negative height anomalies over the North Atlantic. This pattern is associated
with much lower surface temperature anomalies over much of Europe and Asia.
However, the height anomalies in the 2 months following the 2009 split-type
event do not look like the negative NAO phase, though there are weakly
positive height anomalies over the Arctic and two centers of low height
anomalies over Europe and Asia (Fig. 6d). Temperature advection associated
with these anomalous low-pressure centers may explain the regional cold air
experienced over Asia and central Europe. Comparison of these two events
shows how different modes of climate variability can impact the tropospheric
climate during the period after a substantial SSW event. While 1985 and 2009
were both (essentially) La Niña winters (2009 misses official La Niña
classification by the NOAA Climate Prediction Center by 0.1 <inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), the
location and strength of the North Pacific ridge during these 2 years was
quite different. Other aspects of climate variability, such as the QBO, sea
ice, or the MJO, may have played a role in the tropospheric climate during
these time periods.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Time series for the 30 days prior to and after the event date of
major SSWs in the JRA-55 reanalysis of <bold>(a)</bold> the amplitude of the maximum
temperature anomaly (within the region 30–90<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and 300 hPa
to 1 hPa, (K)), <bold>(b)</bold> the latitude of the maximum temperature anomaly within
that same region (degrees latitude), and <bold>(c)</bold> the anomalous eddy heat flux (K m s<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at 200 hPa.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f07.png"/>

        </fig>

      <p>The SSWC allows easy evaluation of the spread among individual events for
different features of SSWs. Figure 7 shows time series of the (a) amplitude and (b) latitude of the maximum temperature anomaly (that occurs
within the range of 30–90<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and 300 to 1 hPa) and (c) the 200 hPa 40–70<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N eddy heat flux anomaly. On average, the
maximum temperature anomaly of <inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 K peaks 1–2 days prior to
the zonal wind reversal (Fig. 7a, bold black line), but the
amplitude and timing vary substantially among the individual events
(colored lines), with values from 10 to almost 100 K. Likewise, the mean
latitude where the temperature maximizes tends to fall between
60 and 70<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (Fig. 7b) but ranges from <inline-formula><mml:math id="M83" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 45<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N to the pole. The 200 hPa heat flux anomaly represents the
incoming heat fluxes from the troposphere via vertically propagating waves,
which amplify and peak prior to the SSW
(Polvani and Waugh, 2004; Sjoberg and
Birner, 2014); however, during any individual year, there may be pulses of large
heat fluxes that do not result in a SSW (Fig. 7c).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Reanalysis intercomparison</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Comparison of three different reanalysis products for the 7 January 2013 SSW event: <bold>(a)</bold> MERRA2, <bold>(b)</bold> NCEP-NCAR I, and <bold>(c)</bold> NOAA20CR. The left
column shows 60<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N zonal-mean zonal wind anomalies (m s<inline-formula><mml:math id="M86" 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>) as
a function of time from the central date and pressure level. The right
column shows the surface temperature anomalies (shading, (K)) and 200 hPa
geopotential height anomalies (contour interval is 50 m) averaged over days
30–60 following the central date.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://essd.copernicus.org/articles/9/63/2017/essd-9-63-2017-f08.png"/>

        </fig>

      <p>Finally, the SSWC includes data from six different reanalyses, both to aid in
reanalysis intercomparison projects such as S-RIP and to allow users the
ability to assess the robustness of SSW features in different products.
Figure 8 demonstrates how these differences manifest during the January 2013 SSW event for (a) a modern reanalysis product (MERRA2), (b) an older
reanalysis product with low model top (NCEP1), and (c) a reanalysis that
only assimilates observations at the surface and has a strong bias in the
stratosphere (NOAA20CR). In MERRA2, there is strong weakening of the zonal
wind anomalies at 60<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, which starts near 1 hPa around the event
date and descends over time to the tropopause (Fig. 8a, left panel).
These anomalies are also evident in NCEP1, but output is only available up
to 10 hPa, and the anomalies at 10 hPa tend to be slightly smaller than
those in MERRA2 (Fig. 8b). The NOAA20CRv2c makes an interesting
comparison because the model stratospheric winds are too strong but the
surface is constrained by assimilated observations (Fig. 8c). This
means that although NOAA20CRv2c does not capture the SSW event, the surface
and tropospheric response contains information about the impact of this
stratospheric event. Conversely, the mid- to upper-tropospheric zonal
wind anomalies after the SSW event in NOAA20CRv2c are smaller (more
positive) than in either NCEP1 or MERRA2, suggesting that the lack of
stratospheric processes limits the ability of this reanalysis to capture the
tropospheric climate response following major breakdowns of the polar
vortex.</p>
      <p>The surface temperature anomalies and the 200 hPa geopotential height
anomalies for days 30–60 after the 2013 SSW are shown in the right-hand
panels of Fig. 8. In the SSWC, surface variables are provided at their
native horizontal resolution, which is reflected in these panels in the
surface temperature anomalies. MERRA2 has the highest horizontal resolution,
making more regional structure and detail apparent. The cold anomalies over
Asia and parts of the Arctic, and the tropospheric circulation anomalies at
200 hPa (particularly in regions impacted by stratosphere–troposphere
coupling, such as the North Atlantic), are weaker in the NOAA20CR relative to
MERRA2 and NCEP1. Regional differences between all three reanalyses can be
seen, particularly in the polar cap region where observations may not be
available to constrain the reanalysis system.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Data usage and availability</title>
      <p>The SSWC is designed to be a public domain product that allows the user
either to use the data as packaged or to step into the production process and
regenerate parts of the database with customized configurations. A flowchart
of these options is shown in Fig. 2. For example, if the user would like to
use a different set of event dates or a different climatology, they may use
the provided code and documentation to extract full fields from their
reanalysis product of choice and to generate new anomaly and derived fields.
Nonetheless, one major advantage of the SSWC is that both the full fields and
the anomalies are provided (as well as the climatology), so that users can
avoid downloading the terabytes of data needed to calculate the daily
climatology and anomaly fields.</p>
      <p>The SSW Compendium has been archived at NOAA's NCEI (<ext-link xlink:href="http://dx.doi.org/10.7289/V5NS0RWP" ext-link-type="DOI">10.7289/V5NS0RWP</ext-link>)
in CF-compliant netCDF-4 format. The data are compressed using short integer
(16-bit) packing, resulting in a full size of 300 GB for the SSWC. Some, but
not all, programming platforms will properly read packed data and account for
missing values. Care must be taken while reading packed data, or missing
values may be unknowingly counted as finite data points.</p>
      <p>A user's guide to the SSWC dataset is provided to describe the included
variables and the file format. A production guide and source code in
Interactive Data Language format are provided in case a user would like to
recreate their own version of the SSWC. We anticipate future updates to the
Compendium for those reanalysis products that proceed operationally in the
future when new SSWs occur. When the Compendium is updated with a new SSW
event, the climatologies and anomalies for all events will be updated, based
on the full period of the new record. When publishing results based on the
SSWC, users should clearly state what version and/or climatology is being
used in order to allow reproducible results. A subset of the SSWC can be
plotted or animated at
<uri>http://www.esrl.noaa.gov/csd/groups/csd8/sswcompendium/</uri>.</p>
      <p>The ability to readily perform (i) composite analysis, (ii) individual event
analysis, and (iii) reanalysis intercomparison is one of the main goals of
the SSW Compendium. The SSWC will hopefully allow users to highlight the
role of stratosphere–troposphere processes and the importance of major SSW
events in winter climate and provide a comprehensive database to
compare with and improve model simulation of these events.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Summary</title>
      <p>The SSWC database provides a simple and computationally
inexpensive way to generate, download, and plot information on historical SSW
events and their evolution and impacts on daily timescales. The database is
designed to be used as is, but the end user also has the ability to use the
source code to customize the database to meet their specific needs. The
inclusion of six different reanalysis products and a set of full, anomaly,
and derived fields for every major SSW in the historical record allows
several different applications of the SSWC. The ability to readily perform
(i) composite analysis, (ii) individual event analysis, and (iii) reanalysis
intercomparison for projects such as S-RIP will hopefully allow users to
highlight the role of stratosphere–troposphere processes and the importance
of major SSW events in winter climate and provide a comprehensive database to
compare with and improve model simulation of these events.</p>
</sec>

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

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>This work was funded by the NOAA Climate Program
Office.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by:
G. König-Langlo<?xmltex \hack{\newline}?>
Reviewed by: W. Seviour and one anonymous referee</p></ack><ref-list>
    <title>References</title>

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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>A sudden stratospheric warming compendium</article-title-html>
<abstract-html><p class="p">Major, sudden midwinter stratospheric warmings (SSWs) are large and rapid
temperature increases in the winter polar stratosphere are associated with a
complete reversal of the climatological westerly winds (i.e., the polar
vortex). These extreme events can have substantial impacts on winter surface
climate, including increased frequency of cold air outbreaks over North
America and Eurasia and anomalous warming over Greenland and eastern Canada.
Here we present a SSW Compendium (SSWC), a new database that documents the
evolution of the stratosphere, troposphere, and surface conditions 60 days
prior to and after SSWs for the period 1958–2014. The SSWC comprises data
from six different reanalysis products: MERRA2 (1980–2014), JRA-55
(1958–2014), ERA-interim (1979–2014), ERA-40 (1958–2002), NOAA20CRv2c
(1958–2011), and NCEP-NCAR I (1958–2014). Global gridded daily anomaly
fields, full fields, and derived products are provided for each SSW event.
The compendium will allow users to examine the structure and evolution of
individual SSWs, and the variability among events and among reanalysis
products. The SSWC is archived and maintained by NOAA's National Centers for
Environmental Information (NCEI, <a href="http://dx.doi.org/10.7289/V5NS0RWP" target="_blank">doi:10.7289/V5NS0RWP</a>).</p></abstract-html>
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