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

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-16-14755-2016</article-id><title-group><article-title>Movement, drivers and bimodality of the South Asian High</article-title>
      </title-group><?xmltex \runningtitle{SAH -- movement, drivers and bimodality}?><?xmltex \runningauthor{M. N{\"{u}}tzel et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Nützel</surname><given-names>Matthias</given-names></name>
          <email>matthias.nuetzel@dlr.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dameris</surname><given-names>Martin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Garny</surname><given-names>Hella</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Matthias Nützel (matthias.nuetzel@dlr.de)</corresp></author-notes><pub-date><day>25</day><month>November</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>22</issue>
      <fpage>14755</fpage><lpage>14774</lpage>
      <history>
        <date date-type="received"><day>27</day><month>April</month><year>2016</year></date>
           <date date-type="rev-request"><day>2</day><month>June</month><year>2016</year></date>
           <date date-type="rev-recd"><day>19</day><month>October</month><year>2016</year></date>
           <date date-type="accepted"><day>11</day><month>November</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>The South Asian High (SAH) is
an important component of the summer monsoon system in Asia. In this study we
investigate the location and drivers of the SAH at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> during the
boreal summers of 1979 to 2014 on interannual, seasonal and synoptic
timescales using seven reanalyses and observational data. Our comparison of
the different reanalyses focuses especially on the bimodality of the SAH, i.e. the two preferred modes of the
SAH centre location: the Iranian Plateau to the west and the Tibetan Plateau
to the east. We find that only the National Centers for Environmental
Prediction–National Center of Atmospheric Research (NCEP–NCAR) reanalysis
shows a clear bimodal structure of the SAH centre distribution with respect
to daily and pentad (5 day) mean data. Furthermore, the distribution of the
SAH centre location is highly variable from year to year. As in simple model
studies, which connect the SAH to heating in the tropics, we find that the
mean seasonal cycle of the SAH and its centre are dominated by the expansion
of convection in the South Asian region (70–130<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) on the south-eastern border of the SAH. A composite
analysis of precipitation and outgoing long-wave radiation data with respect
to the location of the SAH centre reveals that a more westward
(eastward) location of the SAH is related to stronger
(weaker) convection and rainfall over India and weaker (stronger)
precipitation over the western Pacific.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The South Asian High (SAH) or Asian (summer) monsoon anticyclone is one of
the most pronounced circulation patterns in the Northern Hemisphere (NH)
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.1"/> and emerges through diabatic heating in the South Asian
monsoon region <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx9" id="paren.2"/> during boreal summer.
Horizontally, the SAH covers large parts of southern Asia and the Middle East
(black contours in Fig. <xref ref-type="fig" rid="Ch1.F1"/>). It is located on the edge of the
tropics and subtropics, vertically spanning from around 300 to
70 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx32" id="paren.3"><named-content content-type="pre">see Fig. 2 in</named-content></xref>, i.e. approximately
the whole upper troposphere and lower stratosphere (UTLS) region. Despite the
closed anticyclonic flow often shown in climatological analysis, the
circulation system exhibits strong variability in strength and location
<xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx30 bib1.bibx6 bib1.bibx29 bib1.bibx40" id="paren.4"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p><bold>(a, b)</bold> Colour shading indicates the two-dimensional
frequency of occurrence of the SAH centre at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> as diagnosed by
<bold>(a)</bold> NCEP-1 and <bold>(b)</bold> ERA-I over June to August 1979–2014
based on daily values (2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> bins; note the
non-linear colour scale). The box marked by the grey dashed line indicates
the range of the data that are used to diagnose the centre. Black contours
show the long-term seasonal (JJA, 1979–2014) mean of the geopotential height
(contour levels starting at 16.72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and a spacing of 15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>)
and the green line shows the long-term mean location of the ridgeline (zero
zonal wind) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. On the longitude axis, black shading
indicates <bold>(a)</bold> NCEP-1 orography (at T62 resolution) and
<bold>(b)</bold> ERA-I orography (0.75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> ERA-I native
resolution) at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 31.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (approximately the ridgeline), with
1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> corresponding to 500 m. Red (cyan) bars indicate the
one-dimensional PDF (bins of 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) of the daily location of the SAH
centre over the June–August (July–August) period 1979–2014 (1980–1994)
with 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> corresponding to 1 %.</p></caption>
        <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f01.pdf"/>

      </fig>

      <p>Apart from the highly variable synoptic behaviour of the SAH,
<xref ref-type="bibr" rid="bib1.bibx52" id="text.5"/> found that the longitudinal distribution of the SAH centre
location – as identified by the geopotential height maximum along the
ridgeline (see green line in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a) – is bimodal. Using
pentad (5 day) mean data, they have found two preferred modes of the SAH at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> and have coined the terms Iranian Mode (IM) and Tibetan Mode
(TM) according to the two peaks (at 55–65 and 82.5–92.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E
respectively) of the bimodal distribution (see cyan bars in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a).</p>
      <p>This bimodality has been attributed to the so-called warm preference of the
SAH (i.e. the SAH centre is located on top of an anomalously warm air column
in the troposphere; see Fig. 2 in <xref ref-type="bibr" rid="bib1.bibx32" id="altparen.6"/>), and <xref ref-type="bibr" rid="bib1.bibx52" id="text.7"/>
argued that the TM corresponds to diabatic heating of the Tibetan Plateau
(TP) and the IM corresponds to adiabatic heating in the free troposphere and diabatic
heating of the Iranian Plateau (IP). This heat preference is also
supported by <xref ref-type="bibr" rid="bib1.bibx31" id="text.8"/>, who focus on the seasonal variation of the SAH,
referring to the high pressure system that moves to the western Pacific
during winter (see also <xref ref-type="bibr" rid="bib1.bibx53" id="altparen.9"/> and references therein).</p>
      <p>Consequently, following studies seized the suggestion of this bimodality
<xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx50 bib1.bibx47" id="paren.10"><named-content content-type="pre">e.g.</named-content></xref>, while others
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx29" id="paren.11"/> tried to link their results to this finding
(see details in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). The classification of the SAH into two
modes has also found its way into textbooks on the monsoon system <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx46 bib1.bibx45 bib1.bibx51" id="paren.12"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p>In this study we investigate the location and movement of the SAH at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, with particular focus on the bimodality, by employing seven
reanalyses, including four high-resolution (model resolution <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)
reanalysis data sets. A deeper understanding of the SAH has two major impact
areas: first, on the regional scale the location of the SAH was found to be
connected to precipitation anomalies in Asia
(flood–drought areas) and was found
to be a predictor of monsoonal spills <xref ref-type="bibr" rid="bib1.bibx52" id="paren.13"><named-content content-type="pre">see</named-content><named-content content-type="post">and references
therein</named-content></xref>. Second, on the global scale, the SAH features trace gas
anomalies, e.g. of CO <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx28" id="paren.14"/>, H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <xref ref-type="bibr" rid="bib1.bibx32" id="paren.15"/>, HCN
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.16"/>, HCFC22 <xref ref-type="bibr" rid="bib1.bibx2" id="paren.17"/> and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx32" id="paren.18"/>,
which can ultimately reach the stratosphere <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx33" id="paren.19"/>.
Recent studies have successfully demonstrated the impact of the Asian summer
monsoon on the composition of the extratropical lower stratosphere over
Europe as measured during the TACTS/<xref ref-type="bibr" rid="bib1.bibx5" id="text.20"/> campaign
<xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx25 bib1.bibx41" id="paren.21"/>. Consequently, detailed knowledge of
the location and movement of the SAH is necessary to be able to understand
how trace gas anomalies build up and to quantify the amount of trace gases
injected into stratosphere. Because in situ measurements at UTLS levels in
the Asian monsoon and neighbouring regions are sparse, aircraft measurement
campaigns have been specifically designed to investigate transport processes
within the anticyclone and consequent outflow from the anticyclone
<xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx38" id="paren.22"/>.</p>
      <p>The questions we want to address in this study are (1) is there bimodality
of the SAH centre location at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>? (2) How can the
“climatological” bimodality be connected to the movement on synoptic timescales? (3) What causes the movement of the SAH on a synoptic, seasonal and
climatological basis?</p>
      <p>The remainder of this paper is structured as follows: in
Sect. <xref ref-type="sec" rid="Ch1.S2"/>, we present the data and methods used in this study.
Sect. <xref ref-type="sec" rid="Ch1.S3"/> deals with question (1). Questions (2) and (3) are
addressed in Sects. <xref ref-type="sec" rid="Ch1.S4"/> and <xref ref-type="sec" rid="Ch1.S5"/>. Finally, we discuss
our results in Sect. <xref ref-type="sec" rid="Ch1.S6"/> and end with a conclusion
(Sect. <xref ref-type="sec" rid="Ch1.S7"/>).</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and method</title>
<sec id="Ch1.S2.SS1">
  <title>Data</title>
      <p>For our analyses we employ data from different reanalyses and observations.
Our investigation focuses on the NH summer seasons during 1979–2014.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Overview of the reanalysis data employed in this
study.</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="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">CFSR</oasis:entry>  
         <oasis:entry colname="col4">ERA-I</oasis:entry>  
         <oasis:entry colname="col5">JRA-25</oasis:entry>  
         <oasis:entry colname="col6">JRA-55</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Reference </oasis:entry>  
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx37" id="text.23"/>
                  </oasis:entry>  
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx3" id="text.24"/>
                  </oasis:entry>  
         <oasis:entry colname="col5">
                    <xref ref-type="bibr" rid="bib1.bibx27" id="text.25"/>
                  </oasis:entry>  
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx16" id="text.26"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Institution </oasis:entry>  
         <oasis:entry colname="col3">NCEP</oasis:entry>  
         <oasis:entry colname="col4">ECMWF</oasis:entry>  
         <oasis:entry colname="col5">JMA–CRIEPI</oasis:entry>  
         <oasis:entry colname="col6">JMA</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Resolution </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"/>  
         <oasis:entry colname="col2"><italic>horizontal</italic></oasis:entry>  
         <oasis:entry colname="col3">T382<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4">T255 (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.7<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.7<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">T106 (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">TL319<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 55 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><italic>vertical (top)</italic></oasis:entry>  
         <oasis:entry colname="col3">L64<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>  (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.3<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4">L60 (0.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">L40 (0.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">L60 (0.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Assimilation </oasis:entry>  
         <oasis:entry colname="col3">3D-Var</oasis:entry>  
         <oasis:entry colname="col4">4D-Var</oasis:entry>  
         <oasis:entry colname="col5">3D-Var</oasis:entry>  
         <oasis:entry colname="col6">4D-Var</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Data source </oasis:entry>  
         <oasis:entry colname="col3">rda.ucar.edu</oasis:entry>  
         <oasis:entry colname="col4">apps.ecmwf.int</oasis:entry>  
         <oasis:entry colname="col5">rda.ucar.edu</oasis:entry>  
         <oasis:entry colname="col6">rda.ucar.edu</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Period </oasis:entry>  
         <oasis:entry colname="col3">Jan 1979–Dec 2010</oasis:entry>  
         <oasis:entry colname="col4">Jan 1979–present</oasis:entry>  
         <oasis:entry colname="col5">Jan 1979–Jan 2014</oasis:entry>  
         <oasis:entry colname="col6">Jan 1958–present</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">MERRA</oasis:entry>  
         <oasis:entry colname="col4">NCEP-1</oasis:entry>  
         <oasis:entry colname="col5">NCEP-2</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Reference </oasis:entry>  
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx34" id="text.27"/>
                  </oasis:entry>  
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx14" id="text.28"/>
                  </oasis:entry>  
         <oasis:entry colname="col5">
                    <xref ref-type="bibr" rid="bib1.bibx15" id="text.29"/>
                  </oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Institution </oasis:entry>  
         <oasis:entry colname="col3">NASA</oasis:entry>  
         <oasis:entry colname="col4">NCEP–NCAR</oasis:entry>  
         <oasis:entry colname="col5">NCEP–DOE</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Resolution </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"/>  
         <oasis:entry colname="col2"><italic>horizontal</italic></oasis:entry>  
         <oasis:entry colname="col3">0.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.67<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">T62 (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">T62 (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><italic>vertical (top)</italic></oasis:entry>  
         <oasis:entry colname="col3">L72 (0.01 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4">L28 (3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">L28 (3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Assimilation </oasis:entry>  
         <oasis:entry colname="col3">3D-Var</oasis:entry>  
         <oasis:entry colname="col4">3D-Var</oasis:entry>  
         <oasis:entry colname="col5">3D-Var</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Data source </oasis:entry>  
         <oasis:entry colname="col3">mirador.gsfc.nasa.gov</oasis:entry>  
         <oasis:entry colname="col4">esrl.noaa.gov</oasis:entry>  
         <oasis:entry colname="col5">rda.ucar.edu</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry namest="col1" nameend="col2">Period </oasis:entry>  
         <oasis:entry colname="col3">Jan 1979–present</oasis:entry>  
         <oasis:entry colname="col4">Jan 1948–present</oasis:entry>  
         <oasis:entry colname="col5">Jan 1979–present</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Triangular truncation (T); <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> triangular
truncation with linear reduced Gaussian grid (TL); <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> vertical
levels (L).</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S2.SS1.SSS1">
  <title>Reanalysis data</title>
      <p>The seven reanalyses we are using in this study are: (1) the
NCEP/NCAR Reanalysis 1 (NCEP-1) from the National Centers of
Environmental Prediction (NCEP) and the National Center of Atmospheric
Research (NCAR), (2) NCEP/DOE Reanalysis 2 (NCEP-2) from
NCEP and the Department of Energy (DOE), (3) the Climate Forecast
System Reanalysis (CFSR) from NCEP, (4) the Japanese
25-year reanalysis (JRA-25) from the Japan Meteorological Agency
(JMA) and the Central Research Institute of Electric Power Industry (CRIEPI),
(5) the 55-year reanalysis (JRA-55) from JMA, (6) the ERA-Interim reanalysis (ERA-I) from the European Centre
for Medium-Range Weather Forecasts (ECMWF) and (7) the Modern-Era
Retrospective Analysis (MERRA) from the National Aeronautics and
Space Administration (NASA). Further specifications of these reanalysis data
sets are shown in Table <xref ref-type="table" rid="Ch1.T1"/>, including information about the
model resolution, assimilation scheme, data source and the corresponding
references.</p>
      <p>The data used in this study cover the NH summer seasons from 1979 to 2014 (1979 to 2010 for
CFSR and from 1979 to 2013 for JRA-25). Meteorological fields (geopotential height, wind and surface
temperature) of all reanalysis data sets have been used with the provided
resolution of 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, except for MERRA, which
has been regridded from the native resolution (0.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude by
0.67<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude) to a 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid. The
daily data used for the detection of the SAH centre were obtained from the
6 h values of the reanalyses by simple averaging. Likewise, pentad mean data
and monthly mean data are calculated from the daily data.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <title>Observational data</title>
      <p>We use outgoing long-wave radiation (OLR) as a proxy for convective activity.
In this study OLR is obtained from the daily gridded interpolated OLR data
from NOAA (National Oceanic and Atmospheric Administration)
<xref ref-type="bibr" rid="bib1.bibx19" id="paren.30"/>. The data set has a resolution of 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and covers the period June 1974 to December 2013.</p>
      <p>Additionally, we use the Global Precipitation Climatology Project (GPCP)
Version 2.2 combined precipitation data set <xref ref-type="bibr" rid="bib1.bibx1" id="paren.31"/>. This data set
combines satellite and rain gauge measurements to create a global
precipitation field on a 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid with monthly
temporal resolution. The time period covered is from January 1979 to present. For
daily precipitation data we employ Version 1.2 of the 1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> daily GPCP data set <xref ref-type="bibr" rid="bib1.bibx13" id="paren.32"/>, which covers the
period from October 1996 to present.</p>
      <p>As a measure of the Indian summer monsoon (ISM) strength we include the
official all-India monsoon rainfall time series, i.e. the all-India rainfall
index (AIRI), from the India Meteorological Department (IMD). This monthly
time series covers the monsoon period (June–September) from 1901 to 2013 and
was obtained from the IMD web site at
<uri>http://www.imd.gov.in/section/nhac/dynamic/Monsoon_frame.htm</uri>.</p>
      <p>The seasonal (3-month running mean) Niño 3.4 index based on the Extended
Reconstructed Sea Surface Temperature (ERSST) Version 4 data set
<xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx21 bib1.bibx12" id="paren.33"/> from NOAA with a base period of 1981–2010 used to measure
the El Niño–Southern Oscillation (ENSO) was provided by NOAA's CPC
(Climate Prediction Center) from their website:
<uri>http://www.cpc.ncep.noaa.gov/data/indices/</uri>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Method</title>
      <p>To locate the centre of the SAH we use the method described by
<xref ref-type="bibr" rid="bib1.bibx52" id="text.34"/>, which consists of two steps: first, based on daily,
pentad, monthly or seasonal data from June to August (1979–2014) at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> the ridgeline is identified as the location of the minimum of
the absolute zonal wind field at each longitude (see green line in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a) in the area
15–45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30–140<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (box marked by the grey
dashed line in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). Second, along this ridgeline the
maximum of the daily, pentad, monthly or seasonal geopotential field at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> is determined.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Overview of studies addressing bimodality. Geopotential height and
zonal wind are denoted by <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> respectively. For details see
Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>.</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="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Study</oasis:entry>  
         <oasis:entry colname="col2">Data set</oasis:entry>  
         <oasis:entry colname="col3">Period</oasis:entry>  
         <oasis:entry colname="col4">Time step</oasis:entry>  
         <oasis:entry colname="col5">Variables</oasis:entry>  
         <oasis:entry colname="col6">Method</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx52" id="text.39"/>
                  </oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">July–August 1980–1994</oasis:entry>  
         <oasis:entry colname="col4">pentad</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> along ridgeline</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.40"/>
                  <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">July–August 1958–1997</oasis:entry>  
         <oasis:entry colname="col4">monthly</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> along ridgeline</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx53" id="text.41"/>
                  <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">June–August 1950–1999</oasis:entry>  
         <oasis:entry colname="col4">monthly</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx54" id="text.42"/>
                  <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">July–August 1950–1999</oasis:entry>  
         <oasis:entry colname="col4">monthly</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx50" id="text.43"/>
                  <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">June–August 1971–2000</oasis:entry>  
         <oasis:entry colname="col4">monthly</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> at 100/200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx47" id="text.44"/>
                  </oasis:entry>  
         <oasis:entry colname="col2">NCEP-1</oasis:entry>  
         <oasis:entry colname="col3">June–August 2005–2009</oasis:entry>  
         <oasis:entry colname="col4">daily</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> along ridgeline</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx42" id="text.45"/>
                  </oasis:entry>  
         <oasis:entry colname="col2">ERA40</oasis:entry>  
         <oasis:entry colname="col3">June–August 1958–2002</oasis:entry>  
         <oasis:entry colname="col4">seasonal</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> at 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">max <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> along ridgeline<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx6" id="text.46"/>
                  </oasis:entry>  
         <oasis:entry colname="col2">MERRA</oasis:entry>  
         <oasis:entry colname="col3">May–September 2006</oasis:entry>  
         <oasis:entry colname="col4">daily</oasis:entry>  
         <oasis:entry colname="col5">PV at 360/380 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">probability via PV threshold</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx29" id="text.47"/>
                  </oasis:entry>  
         <oasis:entry colname="col2">ERA-I</oasis:entry>  
         <oasis:entry colname="col3">20 June–20 August 2011</oasis:entry>  
         <oasis:entry colname="col4">daily</oasis:entry>  
         <oasis:entry colname="col5">PV at 360/380 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">probability via PV threshold</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Time periods and height levels were restricted
to the range where bimodality of the SAH was found in the respective
studies. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Method of centre detection was not specified. The
methods in <xref ref-type="bibr" rid="bib1.bibx54" id="text.35"/> and <xref ref-type="bibr" rid="bib1.bibx42" id="text.36"/> are probably based on the
methods in <xref ref-type="bibr" rid="bib1.bibx53" id="text.37"/> and <xref ref-type="bibr" rid="bib1.bibx52" id="text.38"/> respectively.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Possibility to detect multiple centres. However, the study
does not focus on the monsoon region but investigates anticyclones
worldwide.</p></table-wrap-foot></table-wrap>

      <p>This results in a (lat, long) coordinate, which represents the centre of the
SAH for the respective day, pentad, month or season. For analyses with
respect to pentad means, only data from 3 June to 31 August are used to get
18 “full” pentads per summer period. The analysis based on seasonal mean
(JJA) data results in one centre location of the SAH for
each year.</p>
      <p>We note that in a first test phase identifying the centre of the SAH only via
the maximum of geopotential in the area 15–45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30–140<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E gave comparable probability distribution
functions (PDFs) of the SAH centre location. However, all analyses in this
study are based on the two step method (i.e. detection of the ridgeline
followed by determination of the maximum geopotential height along the ridgeline). We use this method as it has been applied in the majority of studies
on pressure levels (see Table <xref ref-type="table" rid="Ch1.T2"/>), especially the studies
dealing with daily or pentad data. Table <xref ref-type="table" rid="Ch1.T2"/> summarises the
details of studies on the SAH (centre) location regarding the variables, the
methods, the time periods and the timescales used. Apart from
<xref ref-type="bibr" rid="bib1.bibx42" id="text.48"/>, who report a bimodal distribution of the seasonal mean SAH
centre location in ERA-40 data on 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, all pressure-level-based
studies in Table <xref ref-type="table" rid="Ch1.T2"/> rely on NCEP-1 data. These studies comprise
the 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> level and report clear bimodality in the distribution of
the location of the centre of the SAH during the NH summer months on various
timescales. Table <xref ref-type="table" rid="Ch1.T2"/> includes two potential vorticity (PV)-based analyses on isentropes, which try to draw a connection to the
bimodality found on pressure levels. Apart from focusing on isentropes, their
method is distinct from the other studies in Table <xref ref-type="table" rid="Ch1.T2"/>. Instead
of looking for the centre of the SAH they investigate the occurrence
probability of the SAH at a certain grid point. The grid point is covered by
the SAH if its PV value is below a certain threshold (e.g. 0.3 PV units
at 360 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> or 1.6 PV at 380 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>). The respective probability is then given as the
fraction of time steps where this criterion is met. Furthermore, we note the
studies from <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx54" id="text.49"/> as they also investigate
AOGCMs (Atmosphere–Ocean General Circulation Models) with respect to their
ability to simulate bimodality in the SAH location on a monthly basis.</p>
      <p>As in the studies mentioned before, we focus on the 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> level in
our study to be consistent with these previous works. Furthermore, the
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> level is close to the tropopause height in the monsoon area, making this level of particular interest regarding
stratosphere–troposphere exchange.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Location of the SAH</title>
<sec id="Ch1.S3.SS1">
  <title>Different distributions of the SAH centre in NCEP-1 and ERA-I</title>
      <p>To illustrate the extent of the SAH, which is defined by the strong
signatures in the geopotential field, the climatological JJA geopotential
height at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for the period 1979–2014 is shown in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b as black contours for NCEP-1 and
ERA-I data respectively. For both NCEP-1 and ERA-I the climatological centre
of the SAH is located at approximately 60–90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and
30–32.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The latitudinal location is also
indicated by the climatological ridgeline (green line in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b). Interestingly, NCEP-1 already
seems to show two centres in the climatological long-term mean. This is
indicated by the squeezed contours at approximately 30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
72.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>
      <p>The two-dimensional frequency distribution of the SAH centre based on daily
values for the JJA period 1979–2014 is depicted by the colour shading in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b. For NCEP-1 two clear maxima can
be identified, which are collocated with the maxima of the geopotential
height climatology, whereas for ERA-I the distribution seems to be more
smoothed out over the whole centre region of the SAH.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Overview of the probability distributions of the SAH's longitudinal
location at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> based on <bold>(a)</bold> daily ,
<bold>(b)</bold> pentad, <bold>(c)</bold> monthly and <bold>(d)</bold> seasonal data
during June to August 1979–2014 (1979–2010 for CFSR and 1979–2013 for
JRA-25). The IM and TM regions comprise the longitudes 55–65 and
82.5–92.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E respectively.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f02.pdf"/>

        </fig>

      <p>These features can be more easily identified in the one-dimensional PDFs of
the SAH centre with respect to its longitudinal location (red bars in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>). The rather sharp maxima identified by NCEP-1 lie at
60 and 87.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, extend about <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to each
side and correspond to the IM and the TM respectively. This terminology
corresponds to the location of the maxima over the Iranian and Tibetan
plateaus (IP and TP) (orography close to the ridgeline is displayed by black
shading in Fig. <xref ref-type="fig" rid="Ch1.F1"/>). This double-peak structure is not
reproduced by ERA-Interim data, which show the highest values over the IP,
but no localised peak over the TP.</p>
      <p>Furthermore, at about 70–80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E the SAH centre is
scarcely found in NCEP-1 data. This is not the case for ERA-I data, which show
a small peak in this region. Fig. <xref ref-type="fig" rid="Ch1.F2"/>a and
b display the probabilities of the SAH centre to be
located in the IM, mid-region (region between IM and TM) and TM region as diagnosed
via daily and pentad data (blue and pink bars for ERA-I and NCEP-1) to highlight this
difference.</p>
      <p>A scatter plot of the daily location of the SAH centre as diagnosed by ERA-I
vs. NCEP-1 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>) shows where these differences come
from. A notable number of samples fall into the TP region for NCEP-1, whereas
for ERA-I these samples are spread out over the region
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40–100<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (horizontal line in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Conversely, samples that are found in the
mid-region for ERA-I are spread out over <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60–90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in NCEP-1
(vertical line in Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Scatter plot of the daily longitudinal location of the SAH centre
during June–August 1979–2014 at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> as diagnosed by ERA-I and
NCEP-1 (note the non-linear colour scale). Dashed black line indicates the
perfect one-to-one correspondence and grey lines indicate strong deviations
from the perfect fit.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f03.pdf"/>

        </fig>

      <p><?xmltex \hack{\newpage}?>To verify that the results of our analysis do not depend solely on the time
period chosen, we have also calculated the one-dimensional PDFs for
July–August 1980–1994 (same period used by <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.50"/> for the
pentad analysis; see Table <xref ref-type="table" rid="Ch1.T2"/>). These PDFs are displayed as
cyan bars in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b and confirm that the
general features of the PDFs during the two periods are in qualitative
agreement. Moreover, the one-dimensional distributions in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a resemble the distributions based on pentad mean data in
<xref ref-type="bibr" rid="bib1.bibx52" id="text.51"/> and daily data in <xref ref-type="bibr" rid="bib1.bibx47" id="text.52"/> (see details of these studies
in Table <xref ref-type="table" rid="Ch1.T2"/>).</p>
      <p>The obvious discrepancies between NCEP-1 and ERA-I lead to the questions of
where these differences come from and which reanalysis is correct. Possible
reasons for the differences will be stated in the discussion (Sect. <xref ref-type="sec" rid="Ch1.S6"/>). However, due to the complexity of the reanalysis models
and the subsequent data assimilation, we find it difficult to address these
questions directly. Hence, we use a set of seven reanalyses to determine the
range of results and to see if the SAH exhibits bimodality in the sense of
two pronounced (centre) regions over the IP and TP.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Climatology of geopotential height (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
for the seven reanalyses during JJA 1979–2014. For JRA-25 and CFSR the
periods of 1979–2013 and 1979–2010 are considered. Green lines indicate the climatological
ridgelines from the data sets. Black contours display the orography of 2 and
3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> for orientation.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f04.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Coherent analysis of the SAH centre location in seven reanalyses</title>
      <p>To get a more reliable answer to the question, whether there is bimodality in
the location of the SAH, we employ seven reanalysis data sets in a consistent
manner. In the following we will show results based on daily, pentad, monthly
and seasonal mean data. For all of these timescales bimodality was found in
previous studies (see Table <xref ref-type="table" rid="Ch1.T2"/>).</p>
<sec id="Ch1.S3.SS2.SSS1">
  <?xmltex \opttitle{Climatology of the SAH at 100\,{$\mathrm{hPa}$}}?><title>Climatology of the SAH at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula></title>
      <p>Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the 1979–2014 (1979–2010 and 1979–2013 for
CFSR and JRA-25) climatology of geopotential height during the NH summer (JJA) for
each of the seven reanalysis data sets together with the mean ridgeline
(green dashed line). All reanalyses show the climatological centre of the SAH
in the region <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50–95<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25–35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and a mean ridgeline located at
approximately 30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, with slight differences depending on the
reanalysis.</p>
      <p>MERRA and NCEP-2 predict the centre region farther to the west than the other
reanalyses (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c and d). In comparison with ERA-I,
JRA-25, JRA-55 and MERRA, the NCEP reanalyses (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a and d)
show slightly higher geopotential height values, whereas CFSR
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>g) shows slightly lower geopotential height values.
This is not attributable to the different base period for the climatology of
CFSR (1979–2010). Differences between ERA-I, JRA-25 and JRA-55 with respect to
the climatological representation of the SAH (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b, e
and f) are hardly discernible.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>SAH location based on daily mean data</title>
      <p>Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the location of the SAH based on daily JJA
data for the period 1979–2014 (1979–2010 for CFSR and 1979–2013 for JRA-25) for
these seven reanalyses. Obviously, only NCEP-1 shows a clear double-peak
structure. Note that NCEP-2, which has the same native resolution as NCEP-1
but includes updated physics and corrections of errors <xref ref-type="bibr" rid="bib1.bibx15" id="paren.53"/>,
shows a smoothed out TM. Nevertheless, NCEP-2 is the reanalysis that agrees
the best with NCEP-1 in terms of producing two modes. As an example, only
NCEP-1 and NCEP-2 show a sharp peak over the IP. The reanalyses that show the
best agreement are CFSR, ERA-I and JRA-55. These reanalyses have a high
horizontal model resolution (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and ERA-I and JRA-55 use
4D-Var data assimilation (see Table <xref ref-type="table" rid="Ch1.T1"/>). Although MERRA –
also a high-resolution reanalysis – does not agree in detail with CFSR, ERA-I
and JRA-55, the following points are supported by all four of these
reanalyses: the IP seems at least as important as the TP, the SAH is almost
as likely located in the region 70–80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E as in any
other region of the broad centre region
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50–100<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, depending on the reanalysis), the
peak over the TP is shifted farther eastward than in the NCEP-1 data. We have
found similar results for the analysis based on pentad mean data (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>PDF of the daily location of the SAH centre at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
during JJA 1979–2014 (1979–2010 and 1979–2013 for CFSR and JRA-25) for the
seven reanalyses. The binning was performed according to the 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution of the data.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f05.pdf"/>

          </fig>

      <p>When comparing the distributions of the daily location of the SAH centre for
individual years, we have found strong interannual variability (not shown).
Despite this interannual variability, peaks in the distribution of individual
years, as diagnosed by NCEP-1 and NCEP-2, are usually consistent with the
multi-annual mean displayed in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. In contrast, the other
reanalyses exhibit more variability, e.g. there are years that show a clear
preference of the eastern or western side and some years also exhibit two
centres of activity, however with varying geographical position.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>SAH location based on monthly mean data</title>
      <p>Figure <xref ref-type="fig" rid="Ch1.F6"/> shows the PDF of the SAH centre location based on the
diagnosis of monthly mean data for JJA 1979–2014 (1979–2010 for
CFSR and 1979–2013 for JRA-25). The distribution has been smoothed by taking the running average
over three grid points. We include this step because for monthly (seasonal) mean
data only 108 (36) data points for the years 1979 to 2014, in combination with
the bin size of 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, result in a low ratio of data points per bin
and thus artificial peaks, which should not be overinterpreted.
Moreover, sometimes the location of the maximum in geopotential is not
unique, i.e. two or more neighbouring boxes have the same geopotential value.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>As Fig. <xref ref-type="fig" rid="Ch1.F5"/> but for monthly mean data. Additionally
the original distribution has been smoothed using a running average over
three grid points (7.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f06.pdf"/>

          </fig>

      <p>For the monthly mean data all reanalyses show a bimodal structure with one
local maximum close to 60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and a second maximum close to
85<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E for CFSR and 75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E for MERRA).
The best agreement can be found between JRA-55 and ERA-I. Analysing the months
June, July and August separately shows that in JRA-55 and ERA-I this structure
is due to the distributions during June and July. In both months a
double-peak structure with a notably stronger (weaker) TM (IM) in June than
in July can be observed, whereas in August the distribution is rather smooth
for JRA-55 and ERA-I (not shown). For each of the months June, July and
August, the distribution of the SAH centre based on NCEP-1 (NCEP-2) shows the
typical bimodal structure with a more pronounced TM (IM) than IM (TM). Common
to all reanalyses is that there is a shift of the distribution to the west
from June to July and a shift back to the east from July to August.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>SAH location based on seasonal mean data</title>
      <p>Based on seasonal mean (JJA mean) data the SAH shows a bimodal structure in
the reanalyses NCEP-1 and NCEP-2 (see Fig. <xref ref-type="fig" rid="Ch1.F7"/>). Here, NCEP-1
shows a pronounced peak over the TP and a second one over the IP, whereas
NCEP-2 shows only a sharp peak over the IP. Additionally, JRA-25 shows low
probabilities around 70<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. In contrast, CFSR, ERA-I, JRA-55 and
MERRA show high probabilities over the whole centre region
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60–85<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, depending on the reanalysis).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>As Fig. <xref ref-type="fig" rid="Ch1.F6"/> but for seasonal mean (JJA)
data.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f07.pdf"/>

          </fig>

      <p>Our analysis of the SAH centre location at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> indicates that
based on daily, pentad and seasonal data only NCEP-1 shows a clear bimodal
structure. We emphasise that in particular the results based on daily and
pentad data are of interest as they should be linked to the synoptic movement
of the SAH. Based on monthly mean data all reanalyses show higher
probabilities of occurrence over the TP and IP. The occurrence of the SAH
centre based on daily, pentad, monthly and seasonal mean data is summarised
in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. Different probability distributions of the SAH
with respect to daily, pentad, monthly and seasonal mean data arise as there
is no weighting of the strength of the SAH centre with respect to its
surroundings. This issue is addressed with a more visual explanation in the
next section. We also note that the quantitative results are likely to depend
on the height level and time period chosen.</p>
      <p>The salient disagreement of the reanalyses in the distribution of the SAH
centre location is our motivation to revisit the questions of how the SAH
moves on various timescales and how this movement is caused. To tackle these
questions, we will focus on results based on observational and ERA-I data
during the next two sections (Sects. <xref ref-type="sec" rid="Ch1.S4"/> and <xref ref-type="sec" rid="Ch1.S5"/>). We
choose ERA-I as it is a heavily used reanalysis with the most recent data
assimilation scheme. Apart from that, our choice is arbitrary and we address
the sensitivity of the presented results with respect to the reanalysis in
the discussion (Sect. <xref ref-type="sec" rid="Ch1.S6"/>).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Movement and drivers of the SAH</title>
      <p>Simple model studies have shown that constant diabatic heating in South Asia
causes a mean UTLS circulation to its north-west, which resembles the
climatological SAH <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx9" id="paren.54"><named-content content-type="pre">see</named-content></xref>. As diabatic
heating in the southern monsoon region is largely caused by the latent heat
release due to convection, we use OLR as a proxy for convective activity and
consequently for diabatic heating.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the temporal evolution of ERA-I geopotential
(averaged over 20–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) during the summer months
of 1983 and 1987. Choosing these two years is arbitrary; however, they are
useful in illustrating common and individual features of the monsoon season.
The green lines indicate the location of the SAH centre as diagnosed via the
method described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/> based on daily (light green) and
pentad (dark green) data from ERA-I. Additionally, we have included mean OLR
in the region 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (main convective region
south of the SAH) from NOAA at the levels 190 and
180 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (black contours).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Hovmöller plots of geopotential height at 100 hPa (averaged over
20–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) in km from ERA-I in summer (JJA) <bold>(a)</bold> 1983 and
<bold>(b)</bold> 1987. Black contours show OLR (averaged over 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)
from NOAA at levels of 180 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (inner contours) and
190 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Dashed dark green and light green show the
movement of the SAH centre based on daily and pentad data. Purple dots show
the location of the SAH based on monthly data. White lines indicate the IM
(left) and TM (right) region. Arrows indicate splitting events discussed in
the text. Turquoise star shows the strong shedding event in August
1983.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f08.pdf"/>

      </fig>

      <p>In Fig. <xref ref-type="fig" rid="Ch1.F8"/> the lowest OLR values are mostly confined to the
area 75–105<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and are mostly located east of the highest
geopotential height values. East of the OLR minimum we can observe eastward
migration of high geopotential, associated with eastward eddy shedding of the
anticyclone. A strong shedding event is observed in mid-region August 1983
(turquoise star in Fig. <xref ref-type="fig" rid="Ch1.F8"/>a). West of the OLR minimum region,
the core of the anticyclone usually propagates westward. Another feature that
is visible in the Hovmöller diagrams is the splitting of the anticyclone, e.g.
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 July 1983, <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 July 1987 and the end of July 1987
(indicated by arrows in Fig. <xref ref-type="fig" rid="Ch1.F8"/>). Splitting events and the
development of high geopotential values close to the OLR forcing are often a
cause for “jumps” of the location of the SAH centre (dark green line in
Fig. <xref ref-type="fig" rid="Ch1.F8"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Geopotential height (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) along the ridgeline of the SAH for
individual pentads (colour-coded solid lines) in 1983. The first pentad is
3–7 June 1983. Dashed lines show geopotential height along the ridgeline
based on June (blue), July (green), August (red) and the seasonal (JJA) mean
data (black) in 1983.</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f09.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Mean vertical velocity (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">day</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> during JJA (1979–2013) as diagnosed from ERA-I. Upward
(downward) winds are indicated by blue (red) colours. Orange contours show
mean OLR (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) starting from 250 to
180 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in steps of 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
during the same period. Black dashed contour indicates the climatological
mean position of the SAH (16.72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> contour of geopotential height at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>). Arrows show the mean JJA (1979–2013) 850 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
horizontal winds from ERA-I. Green contour indicates the 3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> contour
of the Tibetan Plateau.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f10.pdf"/>

      </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/> shows geopotential height along the ridgeline during
June to August 1983 for individual pentads, monthly mean and seasonal mean
data. We note that in 1983, based on daily means, all reanalyses show a
distribution of the SAH centre that has one strong centre at approximately
60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and a weaker maximum at approximately 95<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (not
shown). The SAH centre is located over the TP in June and over the IP in July
and August (coloured dashed lines in Fig. <xref ref-type="fig" rid="Ch1.F9"/> and purple dots in
Fig. <xref ref-type="fig" rid="Ch1.F8"/>a). The seasonal mean shows a maximum over the IP
(dashed black line in Fig. <xref ref-type="fig" rid="Ch1.F9"/>). The effect, which leads to
different distributions with respect to varying timescales, can be inferred
from the ridgelines for the months June and August in Fig. <xref ref-type="fig" rid="Ch1.F9"/>:
during June the maximum in the TP is weak, whereas during August the maximum
over the IP is pronounced. Nevertheless, both months contribute equally to
the distribution of the SAH based on monthly mean data, whereas based on
seasonal mean data, the peak will be detected over the IP only.</p>
      <p>In 1987 the east mode is found based on seasonal data and a rather smoothed
out distribution is found based on the daily analysis.</p>
      <p>To illustrate the climatological connection between OLR and the SAH, we
display the JJA climatology (1979–2013, i.e. the overlapping time period of
NOAA OLR and ERA-I data) of the SAH location at 100 hPa (dashed black line)
and of OLR (orange contours) in Fig. <xref ref-type="fig" rid="Ch1.F10"/>. Additionally, we
show the climatology of vertical velocities at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> as diagnosed
from ERA-I (colour shading) and the low level winds (grey vectors), e.g.
identifying the Somali Jet, which brings moisture from the Arabian Sea to
India <xref ref-type="bibr" rid="bib1.bibx35" id="paren.55"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p><bold>(a)</bold> Hovmöller diagram (longitude vs. time) of OLR
(NOAA, 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N average in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and
geopotential height (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (ERA-I, 20–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
average, white contours) averaged over the years 1979–2013. The black solid
line indicates mean location of the SAH centre during the same period. The
dashed line represents the low-pass-filtered mean location of the SAH, i.e.
periods less than 80 days are removed from the black solid line.
<bold>(b)</bold> As in panel <bold>(a)</bold> but colour coded is GPCP daily
precipitation (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">day</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution averaged over 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N during the years 1997–2013.
Precipitation data has been smoothed by 3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitudinally and 3 days
temporally.</p></caption>
        <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f11.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>As Fig. <xref ref-type="fig" rid="Ch1.F11"/> but for latitude vs. time. OLR and
geopotential height (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> have been averaged over
70–130 and 45–100<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E respectively.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f12.pdf"/>

      </fig>

      <p>The deep convective region is located to the south-east of the climatological
location of the SAH (dashed black contour in Fig. <xref ref-type="fig" rid="Ch1.F10"/>), with
the lowest OLR values (below 180–190 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) over the Bay
of Bengal. Upward (downward) winds are located on the eastern (western) side
of the SAH in agreement with <xref ref-type="bibr" rid="bib1.bibx36" id="text.56"/>.</p>
      <p>The mean seasonal evolution of the SAH location and strength together with
OLR during May–September (1979–2013) is shown in Figs. <xref ref-type="fig" rid="Ch1.F11"/>a
and <xref ref-type="fig" rid="Ch1.F12"/>. Until approximately mid-July the area of strong
convective activity extends north-westward and retreats south-eastward later.
In a similar way the location of the SAH moves north-westward during the
build up of the SAH and south-eastward during the decay phase of the SAH
(shifting <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitudinally and
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10–15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitudinally). The seasonal east–west
shift can also be found in daily precipitation data from GPCP during the
period 1997–2013 (see Fig. <xref ref-type="fig" rid="Ch1.F11"/>b), and the seasonal northward
migration of precipitation has been noted in previous studies
<xref ref-type="bibr" rid="bib1.bibx49" id="paren.57"><named-content content-type="pre">e.g.</named-content><named-content content-type="post">their Fig. 3</named-content></xref>. We note that in contrast to the
expansion of low OLR and high precipitation values, the region of lowest OLR
and highest precipitation (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in Fig. <xref ref-type="fig" rid="Ch1.F11"/>
does not shift notably.</p>
      <p>To further study the relation of convection (OLR) to the SAH we investigate
the temporal correlation of NOAA OLR with geopotential at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> from
ERA-I on subseasonal timescales. Therefore, we calculate time lag
correlations of OLR averaged over the region
70–130<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
(i.e. the deep convective region on the south-eastern border of the SAH) with
geopotential averaged over 20–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Before
calculating the correlations based on data from May to September 1979–2013,
the data were deseasonalised and oscillations with a period of less than 10
days were removed. The results of the time lag analysis are shown in
Fig. <xref ref-type="fig" rid="Ch1.F13"/>. At around time lag zero the maximum anticorrelation
(<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.50) is found at approximately 75–85<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and
moves westward with increasing time lag. Approximately 3 days later the
maximum anticorrelation (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45) is found around 45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. East of
the instantaneous response region the maximum anticorrelation travels
eastward more slowly, e.g. the maximum anticorrelation at a time lag of 4 days (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35) can be found at approximately
90–95<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>
      <p>The north-west to south-east movement found in the seasonal cycle of the SAH can
also be identified on the interannual timescale. Table <xref ref-type="table" rid="Ch1.T3"/> shows the correlation of longitude and latitude
occurrence of the SAH centre for the seven reanalysis data sets. The
correlation coefficients are calculated based on the seasonal mean and
monthly mean data during 1979–2014 (1979–2010 for CFSR and 1979–2013 for JRA-25). For the latter the multiannual mean of
each month has been subtracted in order to deseasonalise the data (in the
following this will be referred to as deseasonalised monthly mean data).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Correlation between NOAA OLR (averaged over
15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 70–130<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and ERA-I geopotential
(averaged over 20–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> depending on time lag
and longitude. Positive lags indicate that geopotential changes
occur after OLR changes.
Correlation is calculated based on the deseasonalised and smoothed (periods
shorter than 10 days removed) time series from May to September for every
year separately and then averaged over the 35 year period 1979–2013 (period
covered by OLR and geopotential data). The black line shows the maximum
anticorrelation at each longitude.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f13.pdf"/>

      </fig>

      <p>For seasonal mean and deseasonalised monthly mean data all reanalyses show
that westward (eastward) movement of the SAH is related to northward
(southward) movement. The separate analysis of June, July and August yields
that this relationship is strong during June and July (significant on the
10 % level in all reanalyses). In August, however, the connection is weaker
and becomes insignificant for most reanalyses (on the 10 % significance level,
weakest anticorrelation of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08 found in MERRA data).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Correlation of longitudinal and latitudinal location of the SAH
centre based on seasonal mean (JJA mean) and monthly mean (deseasonalised)
data from June to August 1979–2014 (1979–2010 for CFSR and 1979–2013 for JRA-25).
Asterisks indicate the significance levels of the correlation
coefficients.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Seasonal mean</oasis:entry>  
         <oasis:entry colname="col3">Monthly mean</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CFSR</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37<inline-formula><mml:math 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">ERA-I</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29<inline-formula><mml:math 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">JRA-25</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53<inline-formula><mml:math 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">JRA-55</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.36<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35<inline-formula><mml:math 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">MERRA</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26<inline-formula><mml:math 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">NCEP-1</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NCEP-2</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>Significance level: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> (0.05),
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (0.01).</p></table-wrap-foot></table-wrap>

      <p><?xmltex \hack{\newpage}?>In summary, we have found that the SAH's location and strength are notably
related to the location and strength of convection located on its
south-eastern border (on climatological, seasonal and subseasonal timescales). This connection is especially prominent in the mean seasonal
evolution. Moreover, the seasonal north-west to south-east movement of the SAH is
also evident in the seasonal mean and in the deseasonalised monthly mean data
in summer, leading to the hypothesis that changes in the location of
convection are related to the movement of the SAH on these timescales as
well. This hypothesis will be tested via composite analyses in the next
section (Sect. <xref ref-type="sec" rid="Ch1.S5"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><caption><p>Colour shading displays the mean anomaly of the vertical velocity
(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">day</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> from ERA-I during
<bold>(a)</bold> west and <bold>(b)</bold> east summers with respect to the JJA mean
during 1979–2013. Stippling indicates where the anomalies are insignificant
(significance less than 10 %). Grey contours show composites of ERA-I
geopotential height at 100<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) during
<bold>(a)</bold> western and <bold>(b)</bold> eastern summers. The green lines
indicate the ridgelines. Black contour shows orography greater than
3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. Black boxes show the averaging regions of geopotential, needed
to calculate the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>14</mml:mn></mml:msub></mml:math></inline-formula> and the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>15</mml:mn></mml:msub></mml:math></inline-formula>. The SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>14</mml:mn></mml:msub></mml:math></inline-formula> and
SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>15</mml:mn></mml:msub></mml:math></inline-formula> are defined as the standardised differences of average geopotential in box A2 (22.5–32.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
85–105<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) minus A1 (22.5–32.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 55–75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)
and in box B2 (20–27.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 85–115<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) minus B1
(27.5–35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 50–80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) respectively.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f14.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <title>Composite analyses of western and eastern phases</title>
      <p>Regardless of the existence of two preferred spatial modes of the SAH, it is
of great interest to identify signatures that are associated with an eastward
or westward location of the SAH centre. The days, months, summers and years
with a rather (see exact definition later) westward (eastward) location of
the SAH centre will be termed western (eastern) days, months and
summers.</p>
      <p>A similar method has been applied by <xref ref-type="bibr" rid="bib1.bibx47" id="text.58"/>, who analysed satellite
measurements (of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO) with respect to the location of the
SAH as diagnosed by NCEP-1 daily data. These composites show a dipole pattern
in the distribution of trace gas anomalies where positive (negative) values
of tropospheric (stratospheric) tracers are collocated with the current
location of the SAH. This illustrates how trace gas anomalies follow the
movement of the SAH <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx6" id="paren.59"><named-content content-type="pre">see also</named-content></xref>.</p>
      <p>The importance of the location of the SAH centre can be inferred from
Fig. <xref ref-type="fig" rid="Ch1.F14"/>, which displays geopotential height composites (grey
contours) at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> together with anomalies of the vertical
velocities at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for west (Fig. <xref ref-type="fig" rid="Ch1.F14"/>a) and east
(Fig. <xref ref-type="fig" rid="Ch1.F14"/>b) summers during 1979–2013. A year belongs to the
west (east) composite if the seasonal (JJA) SAH centre is located more than 7.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to the west (east) of
the multiannual mean location of the SAH centre (resulting in eight summers
for each composite). During western years the SAH tends to be slightly
stronger and negative anomalies in the vertical velocities (i.e. relative
upward transport of the order of 25 % of the maximum climatological
values; see Fig. <xref ref-type="fig" rid="Ch1.F10"/>) in the centre region are found. This
could be an indicator of stronger confinement and enhanced upward transport
during western summers. For the eastern summers, the anomalies are exactly
reversed, i.e. regions of anomalous upward motion during western years show
anomalous downward motion during eastern years and vice versa.</p>
      <p>To identify the signatures associated with the longitudinal location of the
SAH, we will use composite differences of OLR (NOAA) and precipitation
(GPCP). In detail, the respective data are split according to the location of
the SAH centre in ERA-I data into western and eastern composites. Finally, the
two composites are subtracted from each other (we show results as west minus
east).</p>
      <p>We will present analyses based on seasonal mean, monthly mean and daily data
from June to August. To separate the effect of the seasonal cycle (see
Figs. <xref ref-type="fig" rid="Ch1.F11"/> and <xref ref-type="fig" rid="Ch1.F12"/>) from subseasonal processes
within the monthly mean and daily data, we use the deseasonalised monthly and
daily means of OLR, precipitation and surface temperature (for daily data the
June to August period of the smoothed seasonal cycle based on May to
September data from 1979 to 2013 was removed). Accordingly, the split into
eastern and western phases is done with respect to <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>7.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> deviation from the
multiannual summer mean, from the multiannual monthly means or from the
smoothed seasonal cycle (see dashed line in Fig. <xref ref-type="fig" rid="Ch1.F11"/>) of the
longitudinal position of the SAH centre.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><caption><p>Composite differences of west minus east location of the SAH centre
in the period 1979–2013 as diagnosed by ERA-I for <bold>(a, c, e)</bold> OLR
(from NOAA in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and <bold>(b, d)</bold> precipitation
(from GPCP in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">day</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) based on <bold>(a, b)</bold> seasonal, <bold>(c, d)</bold> monthly and <bold>(e)</bold> daily data. Stippling
indicates insignificant areas (significance less than 10 %). Black
contours show the location of the TP (orography higher than
3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f15.pdf"/>

      </fig>

      <p>The following results are also supported (qualitatively) if we split
according to <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, where <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> represents the multiannual
seasonal, multiannual monthly or multiannual daily standard deviation.
Similarly, splitting the data into western (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 67.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and eastern
(<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) phase or location over the IP and TP leads to comparable results. This might be due to the fact
that subseasonal variations dominate the seasonal variations. For the
seasonal data the three methods give almost the same composites (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>d, mean location of 73.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and standard
deviation of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and hence similar results.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F15"/> shows composite differences of OLR and
precipitation with respect to different timescales (for daily data there is
no precipitation composite because daily resolved GPCP data are only available
from October 1996 onward). For seasonal, monthly and daily data the western (eastern)
composite is comprised of 8, 39 and 1222 (8, 38, 1087) data points
respectively. Areas that do not reach the 10 % significance level are dotted.</p>
      <p>Two main regions that show significant differences between western and
eastern phases in OLR and in precipitation are India and the western Pacific. In
detail, OLR is lower (higher) during western (eastern) periods over India and the
Arabian Sea. For the western Pacific the reverse connection is found. Furthermore, the results from precipitation data are in agreement with the results from OLR data, i.e. lower (higher) OLR values are accompanied by more (less) rainfall. Additionally, there is less OLR in
the deep tropics, indicating more convective rainfall in this region during
western phases. This is most pronounced in the monthly data
(Fig. <xref ref-type="fig" rid="Ch1.F15"/>c and d). In comparison with
seasonal and monthly mean data (Fig. <xref ref-type="fig" rid="Ch1.F15"/>a and
c) there is an important difference for the daily data
(Fig. <xref ref-type="fig" rid="Ch1.F15"/>e) because negative OLR values stretch farther from
west to east at approximately 20–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p>
      <p>The analysis for June, July and August separately (not shown) shows that in
June and July, the significant differences are mostly in agreement with the
results found for the monthly JJA data. In August, however, almost no
significant differences of precipitation can be found over India.</p>
      <p>In short, we have found that the western–eastern location of the SAH is connected
to opposing anomalies of convection and precipitation over India and over the
western Pacific with respect to daily, monthly and seasonal data. Stronger
(weaker) precipitation over India (the western Pacific) is related to a more
westward location of the SAH centre.</p>
</sec>
<sec id="Ch1.S6">
  <title>Discussion</title>
      <p>The comparison of the daily location of the SAH centre during JJA 1979–2014
as diagnosed from NCEP-1 and ERA-I shows that NCEP-1 exhibits strong bimodality
in its longitudinal location <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx47" id="paren.60"><named-content content-type="pre">in agreement with</named-content></xref>,
whereas ERA-I shows only a pronounced signature over the IP. This difference
is also visible in the long-term climatology, i.e. there is bimodality in the
NCEP-1 climatology of geopotential at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p>
      <p>In the analysis of seven reanalysis data sets (CFSR, ERA-I, JRA-25, JRA-55,
MERRA, NCEP-1, NCEP-2) with respect to the location of the SAH we find that
only NCEP-1 produces a pronounced maximum over the TP and a distinct minimum
in the region 67.5–80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, i.e. between the IP and
the TP. Furthermore, only NCEP-1 and NCEP-2 show a sharp peak over the IP.</p>
      <p><?xmltex \hack{\newpage}?>Although there are differences between all reanalyses, NCEP-2 and especially
NCEP-1 are outliers regarding the distribution of the SAH centre at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. The reanalysis data sets that show the best agreement
regarding the location of the SAH centre are CFSR, ERA-I and JRA-55.</p>
      <p>The analysis of individual years shows strong interannual variability in the
location of the SAH. This variability limits the application of the findings
for the long-term mean to single years and vice versa. For example, the distribution
of low PV at 380 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> in 2006 as shown in <xref ref-type="bibr" rid="bib1.bibx6" id="text.61"/> (see their
Fig. 15), which is based on MERRA data, exhibits high values on the western
side (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30–70<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). This is in good agreement
with the distribution of the SAH centre location at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> in 2006,
which is rather shifted to the west in all reanalyses, except for NCEP-1 (not
shown).</p>
      <p>Based on monthly mean data over the period JJA 1979–2014 (1979–2010 for CFSR and 1979–2013 for JRA-25) we have found that all reanalyses (except for MERRA) show two
regions of increased probability, which lie over the IP and TP (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>c). However, as for the daily data, based on the
monthly data NCEP-1 (NCEP-2) shows a more pronounced TM (IM) than ERA-I, JRA-55
and JRA-25. After analysing the months June, July and August separately we
have found that in the latter three reanalyses two centres of activity can be
found in June and July (weaker IM in June and stronger IM in July), whereas
in August the distribution is rather smooth for ERA-I and JRA-55 (not shown).</p>
      <p>Based on seasonal data we can identify bimodality in NCEP-1 and NCEP-2. As
before, NCEP-1 (NCEP-2) shows a strong TM (IM) and a weaker IM (TM).
Additionally, JRA-25 shows low occurrences of the SAH in the region between
the IP and TP. CFSR, ERA-I, JRA-55 and MERRA show a spread-out distribution
over the region 55–90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E with a single peak at
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 70–80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, depending on the reanalysis.</p>
      <p>Possible reasons for the different distributions as given by the reanalyses
with respect to varying timescales (except for NCEP-1 and NCEP-2, which show
consistent distributions on all timescales) are as follows: (1) the method
of locating the SAH centre picks the highest local maximum for individual
samples and does not take the relative strength of the current SAH centre
into account. (2) It is rather unlikely that the SAH centre is located west
of 55<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E or east of 92.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E for many subsequent days,
hence there is almost no occurrence of the SAH in this region based on
monthly means. However, on a daily and pentad basis locations to the west of the
IP and to the east of the TP have a significant weight (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>), thus putting weight to the IM or TM on a monthly
basis when the SAH resides rather to the west or east. (3) The bimodality in
the monthly data might be influenced by the seasonal cycle.</p>
      <p>The reasons for the differences in the SAH centre location between the
reanalyses are attributable to the underlying model, the assimilation
technique and the observational data, which are assimilated by the different
reanalyses. While it is not possible for us to disentangle the relative
influence of these sources, some hints might be as follows: numerous changes
have been made from NCEP-1 to NCEP-2. These changes affect the thermal and
orographic forcing of the IP and TP as well as the diabatic heating
associated with tropical convection, e.g. through changed boundary conditions,
updated physics and smoothed orography <xref ref-type="bibr" rid="bib1.bibx15" id="paren.62"/>. These changes
have a large impact on the distribution of the SAH centre location (see
Fig. <xref ref-type="fig" rid="Ch1.F5"/>). This emphasises the impact of model properties on
the SAH centre location. Since some of the features described above are only
shown by NCEP-1 and NCEP-2 the importance of the data assimilation scheme (e.g.
inclusion of TOVS and ATOVS temperature profiles for NCEP-1 and NCEP-2 vs.
radiance data directly for the other reanalyses) might be inferred. However,
this could also be related to the closeness of the underlying model. During
the time period 2004–2013, for which advanced observational data, which were not
included in NCEP-1 and NCEP-2, are available, similar distributions for daily
and pentad data are found. Together with the distribution presented in
Fig. <xref ref-type="fig" rid="Ch1.F1"/> for the period 1980–1994, this indicates that the time
period chosen does not influence our results qualitatively. This in turn
brings us to the hypothesis that the transition between different
observational data sets, which are included in the reanalyses, are of minor
importance.</p>
      <p><xref ref-type="bibr" rid="bib1.bibx44" id="text.63"/> have found large differences in the
climatologies of diabatic heating rates among different reanalyses. These
diabatic heating rate differences (and connected differences on shorter timescales) can be expected to have an impact on the distributions of the SAH
centre location (on daily and pentad basis) with respect to the various
reanalyses. The most prominent difference in the distribution of the SAH
centre location is that the clear bimodality on short timescales found in
previous studies (mostly based on NCEP-1 data) is not visible in most recent
reanalyses.</p>
      <p>We cannot answer the question of which reanalysis represents the reality
best. Nevertheless, the fact that modern reanalyses do not produce the
bimodality of the SAH centre location with respect to daily, pentad and
seasonal data strongly suggests that the bimodality found on these timescales
using NCEP-1 data is an artefact of this particular reanalysis.</p>
      <p>Previous studies that address the bimodality of the SAH have mostly focused
on the 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> level (see Table <xref ref-type="table" rid="Ch1.T2"/>). To see how robust
our results are, we employed ERA-I on the 395 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> level. The SAH centre
location was defined as the maximum of the Montgomery stream function along
the ridgeline. We found that the PDFs of the SAH centre location with
respect to daily and monthly data are similar to ERA-I on 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. For
the seasonal mean data we have found that the distribution changes in favour
of the TM and IM, i.e. for seasonal data 12, 10 and 14 years are located in the
IP, mid-region and TP region respectively.</p>
      <p>To assess what drives the variability of the SAH we show the movement of the
SAH centre and the temporal evolution of geopotential at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> from
ERA-I. We find that geopotential often moves to the west and that less
regular shedding occurs to the east of the SAH centre. The mean seasonal
evolution of convection (in the South Asian tropical region, here
70–130<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15–30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)
and mean seasonal location of the SAH centre as diagnosed by ERA-I show a
clear connection (see Figs. <xref ref-type="fig" rid="Ch1.F11"/> and <xref ref-type="fig" rid="Ch1.F12"/>): as
the region of low OLR and strong precipitation (deep convective region)
extends north-westward during the build-up phase of the SAH, the SAH and its
centre move north-westward as well. Once the region of strong convection
withdraws south-eastward, the SAH centre follows accordingly. This is in
agreement with <xref ref-type="bibr" rid="bib1.bibx7" id="text.64"/> and the climatologies of geopotential height
and OLR during JJA shown in Figs. <xref ref-type="fig" rid="Ch1.F4"/> and <xref ref-type="fig" rid="Ch1.F10"/>
and was discussed based on monthly data for the retreat phase of the SAH
in <xref ref-type="bibr" rid="bib1.bibx17" id="text.65"/>. The smoothed mean seasonal movement of the SAH as
diagnosed from NCEP-1 behaves accordingly, but with a slightly
smaller longitudinal range of approximately <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> compared to
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for ERA-I.</p>
      <p>A time lag analysis, linking convective activity in the tropics and the
evolution of geopotential at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> on subseasonal timescales, shows
that the instantaneous response of the geopotential field to convective
activity is located on the western edge of the forcing region, again in
agreement with results of <xref ref-type="bibr" rid="bib1.bibx7" id="text.66"/>. Overall, the evolution of
geopotential and its connection to OLR (convection) is in agreement with
findings based on MERRA data from <xref ref-type="bibr" rid="bib1.bibx6" id="text.67"/>, who link divergence
associated with deep convection to the evolution of the area of low potential
vorticity (PV) at 360 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> (see their Figs. 6 and 8). When performing the
time lag analysis with an averaging area of OLR, which extends farther to the
north, we found weaker anticorrelations. Furthermore, when averaging OLR over
the TP (approximately 70–105<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30–40<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) only, we get positive correlations of OLR
with geopotential height located over the TP (in contrast to negative
correlations, which associate reduced OLR with increased convection and
strengthening of the SAH). Two possible reasons for this are (1) the SAH is
not powered but maybe fed by the convection over the TP with respect to trace
gases <xref ref-type="bibr" rid="bib1.bibx8" id="paren.68"/>. (2) (Low) OLR in this region is not a reliable
measure for convection due to the height of the TP. This might be enhanced by
sampling biases due to the sun-synchronous orbit of the NOAA satellites.
These biases are more important over land because convection has a stronger
diurnal cycle over land than over sea <xref ref-type="bibr" rid="bib1.bibx20" id="paren.69"/>.</p>
      <p>Composites of eastern and western summers during 1979–2013 and corresponding
anomalies of the vertical velocities at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> indicate the possible
connection of a more eastward or westward location of the SAH with altered
stratosphere–troposphere exchange in the monsoon region. The analysis of
composite differences of OLR and precipitation for western and eastern
summers (months), based on the location of the SAH centre, yields anomalies
of convection and precipitation between these summers (months). There is
notably more convection over the Arabian Sea (and India) and consequently
more precipitation over India when the SAH centre is located more westward.
In contrast, during eastern summers and months there is more convective
activity and stronger precipitation over the western Pacific. Additionally,
during the western summers and months negative surface temperature anomalies
can be found over India, which is probably connected to stronger
precipitation. Furthermore, in the monthly analysis we have found that these
signatures mostly come from the months of June and July.</p>
      <p>As the composite analysis of convection and precipitation, with respect to
seasonal mean and monthly mean data, suggests a connection between the SAH location
and the ISM (measured by IMD's AIRI), we display the relationship of the
seasonal SAH centre location (from ERA-I) and the seasonal AIRI in
Fig. <xref ref-type="fig" rid="Ch1.F16"/>a. Figure <xref ref-type="fig" rid="Ch1.F16"/>b shows the
correlation coefficients of the location of the SAH centre with the AIRI over
the time period of June to August 1979–2013 for the seven reanalyses
(1979–2010 for CFSR). For the calculation of the monthly mean correlation
coefficients the data were deseasonalised (i.e. multiannual monthly means were subtracted from the SAH location and the AIRI time series).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><caption><p><bold>(a)</bold> Scatter plot of AIRI and the SAH location from ERA-I
based on JJA data during 1979–2013 (years are colour coded). Black line
indicates the regression line. <bold>(b)</bold> Correlation of AIRI with the
longitudinal location of the SAH centre based on seasonal (red columns) and
monthly mean (orange columns) data during June to August 1979–2013
(1979–2010 for CFSR) for the seven reanalyses. For monthly mean data the
time series was deseasonalised (i.e. multiannual June, July or August values
were subtracted). Blue colours indicate the correlation for the
months June, July and August separately. Stars indicate the respective
significance level.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/14755/2016/acp-16-14755-2016-f16.pdf"/>

      </fig>

      <p>All reanalyses show stronger anticorrelations based on seasonal mean than on
monthly mean data, except for CFSR and NCEP-2. The latter does not produce a
significant anticorrelation on the seasonal timescale. Moreover, for the
separate months the connection between the SAH location and the ISM in June
and July is stronger than in August (except for JRA-25, June <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.32 vs. <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33
in August) and gets insignificant, on the 10 % level, for CFSR, JRA-55,
MERRA, NCEP-1 and NCEP-2. This is in agreement with the findings from the
composite analysis.</p>
      <p>The Asian monsoon system and especially the ISM is influenced strongly by
ENSO <xref ref-type="bibr" rid="bib1.bibx24" id="paren.70"><named-content content-type="pre">see, e.g.,</named-content></xref>. Hence, we analysed the impact of ENSO on
the connection between seasonal SAH centre location and ISM by calculating
partial correlations between the SAH's longitudinal location from ERA-I and
the AIRI index with respect to the seasonal Niño 3.4 index from CPC.
Partial correlations were calculated with respect to the lagged seasonal
Niño 3.4 starting with DJF before the summer monsoon and ending with NDJ
following the monsoon period. These partial correlations were ranging from
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.44 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.51, which is comparable to the simple correlation coefficient between
the two indices. The lagged correlations between the SAH's location and
Niño 3.4 were below 0.1 and not significant.</p>
      <p><?xmltex \hack{\newpage}?>The relationship between the ISM and the SAH is also supported by the findings of
<xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx43" id="text.71"/>, who linked the west–east and north-west to south-east
displacement of the SAH on interannual timescales with the strength of the
ISM. In detail they used two indices, the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>14</mml:mn></mml:msub></mml:math></inline-formula> and the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>15</mml:mn></mml:msub></mml:math></inline-formula> (see
caption of Fig. <xref ref-type="fig" rid="Ch1.F14"/>), as given by geopotential from ERA40 on
200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (based on JJA data during 1958–2002), and found correlation
coefficients of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.49 for the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>14</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.64 between the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>15</mml:mn></mml:msub></mml:math></inline-formula>
and
the rainfall over India (note that a more positive SAHI corresponds to a more
eastward location of the SAH). We calculated the correlation of the
SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>14</mml:mn></mml:msub></mml:math></inline-formula> and the SAHI<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>15</mml:mn></mml:msub></mml:math></inline-formula> for ERA-I geopotential at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> and
AIRI from the IMD as <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.57 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61 respectively. Additionally,
<xref ref-type="bibr" rid="bib1.bibx42" id="text.72"/> performed idealised model studies and showed
the importance of latent heat release over India to the location of the SAH
on interannual timescales. <xref ref-type="bibr" rid="bib1.bibx42" id="text.73"/> also address the possible
influence of ENSO on the SAH's longitudinal location and come to a similar
conclusion that ENSO does not play a major role for western–eastern shifts of the
SAH on interannual timescales.</p>
      <p>However, in contrast to the findings of <xref ref-type="bibr" rid="bib1.bibx43" id="text.74"/>, who identify an
opposing heating or cooling source over the Yangtze River valley using GPCC
data from 1958 to 2002, we do not find a significant connection between
rainfall in this region and the location of the SAH, but rather with
convective activity over the western Pacific. The corresponding excess or
deficit precipitation over the western Pacific was also found in some of the
AOGCM-based precipitation composites,
which were presented in <xref ref-type="bibr" rid="bib1.bibx53" id="text.75"/> (their Fig. 4).</p>
      <p>The composite difference of OLR based on daily data shows results similar to the seasonal and monthly data. To check how robust the signatures are, we
have built composites based on the SAH centre location at 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> from
NCEP-1. In general, the results match those from when the splitting is performed
based on ERA-I. Especially for the daily (1344 west, 1305 east) and monthly
(35 west, 39 east) mean data the results match well. For the seasonal data (9 west, 10 east) the signatures in OLR and precipitation over India are shifted
farther towards the southern slopes of the Himalayas.</p>
      <p>As plateau heating has been discussed as a driver for the SAH shift
<xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx22" id="paren.76"><named-content content-type="pre">e.g.</named-content></xref>, we have performed the composite analysis
on reanalysis surface temperature data for ERA-I and NCEP-1 (not shown). The
results show that during western periods surface temperatures are usually
lower (up to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.25 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) over India, likely associated with heavier
rainfall in this region. With respect to the IP (TP), positive (negative)
anomalies in surface temperatures get more pronounced on shorter timescales.
This is especially the case for ERA-I data, where only the composite based on
daily data shows a clear and significant negative anomaly over the TP during
western phases, whereas for NCEP-1 data the TP and IP anomalies are strong
regardless of the timescale. This might be hinting that the significance of
heating associated with the two plateaus is of more importance on shorter
timescales and in NCEP-1 compared to ERA-I data.</p>
      <p>The drawback of using reanalysis surface temperature data, especially in the
TP (and probably IP) region where observational data are scarce, is that this
variable is strongly influenced by the model itself <xref ref-type="bibr" rid="bib1.bibx14" id="paren.77"><named-content content-type="pre">at least for
NCEP-1
see</named-content></xref>. Hence, the signatures in surface temperatures over the TP
might not be reliable and thus reflect the models' connection of
surface temperature over the TP with the location of the SAH.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusion</title>
      <p>In this study the movement and drivers of the SAH during the period
1979–2014 are investigated using observational and reanalysis data. Special
attention is brought to the subject of bimodality, i.e. the two preferred
modes of the SAH's centre location over the Tibetan and Iranian plateaus.</p>
      <p>We find that bimodality with respect to daily, pentad and seasonal data at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> is only found in NCEP-1 and NCEP-2; however, they are not consistent
with
each other. Although we cannot rule out that NCEP-1 or NCEP-2 simulate the
distribution of the SAH centre correctly, the other reanalyses – including
most recent ones (e.g. ERA-I and JRA-55) – do not support the notion of
bimodality as two designated centres of activity. This is of special interest
because a couple of studies have conducted analyses based on this concept. Thus, it
might be useful to investigate if their findings are affected when more
recent reanalyses are being used. Furthermore, it might limit the conclusions
drawn from these studies, i.e. the drivers associated with the two modes
might reflect the model properties rather than the actual atmospheric
situation and thus might vary from reanalysis to reanalysis. Finally, using a
more recent reanalysis might enhance results found in composite differences,
e.g. with respect to satellite-measured trace gases as in <xref ref-type="bibr" rid="bib1.bibx47" id="text.78"/>.</p>
      <p>With respect to the drivers of the SAH, we find that shifts in convection are
a main cause for the shift in the location of the SAH (on various scales): we
connected the mean seasonal evolution of the SAH to the seasonal cycle of
convection in the tropical region adjacent to the SAH. A modified extension
of the composite analysis performed in <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx43" id="text.79"/> showed that the
ISM and convection over the western Pacific are related to the longitudinal
position of the SAH centre. Hence, the location of the SAH might be related to
different boundary layer source regions and in turn affect consequent
transport (maybe into the stratosphere; see Fig. <xref ref-type="fig" rid="Ch1.F14"/>).</p>
      <p>We note that on top of the influence through the location of convection,
internal variability – i.e. instability of the anticyclone and subsequent
westward movement or splitting <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx30" id="paren.80"/> – plus external
forcing <xref ref-type="bibr" rid="bib1.bibx4" id="paren.81"><named-content content-type="pre">described by</named-content></xref> influence the location of the SAH
on the synoptic timescales. Additional influences from the orography and
heating of the TP and IP might also modulate the location of the SAH
<xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx22" id="paren.82"><named-content content-type="pre">e.g.</named-content><named-content content-type="post">and references therein</named-content></xref>. The relative
importance of the thermal forcing of the TP and convection in the South Asian
region on the synoptic movement of the SAH is still an open point and
difficult to evaluate from reanalysis and observational data only.</p>
</sec>
<sec id="Ch1.S8">
  <title>Data availability</title>
      <p>We acknowledge the institutions listed in Table 1 for the production and
dissemination of reanalysis data.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>We thank William Randel, Klaus-Dirk Gottschaldt and Helmut Ziereis for their
helpful comments on the paper. The research leading to these results received
funding from the European Community's Seventh Framework Programme
(FP7/2007–2013) under grant agreement no. 603557.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> The article processing charges for this open-access
<?xmltex \hack{\newline}?> publication were covered by the Research <?xmltex \hack{\newline}?>
Centre of the Helmholtz Association. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited
by: G. Stiller<?xmltex \hack{\newline}?> Reviewed by: three anonymous referees</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Movement, drivers and bimodality of the South Asian High</article-title-html>
<abstract-html><p class="p">The South Asian High (SAH) is
an important component of the summer monsoon system in Asia. In this study we
investigate the location and drivers of the SAH at 100 hPa during the
boreal summers of 1979 to 2014 on interannual, seasonal and synoptic
timescales using seven reanalyses and observational data. Our comparison of
the different reanalyses focuses especially on the bimodality of the SAH, i.e. the two preferred modes of the
SAH centre location: the Iranian Plateau to the west and the Tibetan Plateau
to the east. We find that only the National Centers for Environmental
Prediction–National Center of Atmospheric Research (NCEP–NCAR) reanalysis
shows a clear bimodal structure of the SAH centre distribution with respect
to daily and pentad (5 day) mean data. Furthermore, the distribution of the
SAH centre location is highly variable from year to year. As in simple model
studies, which connect the SAH to heating in the tropics, we find that the
mean seasonal cycle of the SAH and its centre are dominated by the expansion
of convection in the South Asian region (70–130° E  ×  15–30° N) on the south-eastern border of the SAH. A composite
analysis of precipitation and outgoing long-wave radiation data with respect
to the location of the SAH centre reveals that a more westward
(eastward) location of the SAH is related to stronger
(weaker) convection and rainfall over India and weaker (stronger)
precipitation over the western Pacific.</p></abstract-html>
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