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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">NHESS</journal-id>
<journal-title-group>
<journal-title>Natural Hazards and Earth System Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1684-9981</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/nhess-15-1677-2015</article-id><title-group><article-title>Sea surface temperature and torrential rains in the Valencia region: modelling the role of recharge areas</article-title>
      </title-group><?xmltex \runningtitle{Torrential rains and recharge areas}?><?xmltex \runningauthor{F.~Pastor et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Pastor</surname><given-names>F.</given-names></name>
          <email>paco@ceam.es</email>
        <ext-link>https://orcid.org/0000-0003-2382-1728</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Valiente</surname><given-names>J. A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4589-5496</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Estrela</surname><given-names>M. J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Instituto Universitario Centro de Estudios Ambientales del Mediterráneo CEAM-UMH, Paterna, Valencia, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Faculty of Geography and History, University of Valencia, Valencia, Spain</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">F. Pastor (paco@ceam.es)</corresp></author-notes><pub-date><day>31</day><month>July</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>7</issue>
      <fpage>1677</fpage><lpage>1693</lpage>
      <history>
        <date date-type="received"><day>17</day><month>December</month><year>2014</year></date>
           <date date-type="rev-request"><day>12</day><month>February</month><year>2015</year></date>
           <date date-type="rev-recd"><day>3</day><month>July</month><year>2015</year></date>
           <date date-type="accepted"><day>23</day><month>July</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015.html">This article is available from https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015.pdf</self-uri>


      <abstract>
    <p>Heavy rain events are frequently recorded in the Western Mediterranean
causing economic losses and even human casualties. The Western Mediterranean
is a deep and almost closed sea surrounded by high mountain ranges and with
little exchange of water with the Atlantic ocean. A main factor in the
development of torrential rains is ocean-atmosphere exchanges of heat and
moisture that can potentially destabilize air masses travelling over the sea.
The study of air mass trajectories previous to the rain event permits the
identification of sea areas that could probably contribute to the development
or intensification of rainfall. From a previous Mediterranean sea surface
temperature climatology, its spatio-temporal distribution patterns have been
studied showing two main distribution modes in winter and summer and
transitional regimes in spring and autumn. Hence, three heavy precipitation
events, for such winter and summer sea temperature regimes and for fall
transition, affecting the Valencia region have been selected to study the
effect of sea surface temperature in torrential rains. Simulations with
perturbed sea surface temperature in different areas along the air mass path
were run to compare results with unperturbed simulation. The variation of sea
surface temperature in certain areas caused significant changes in model
accumulated values and its spatial distribution. Therefore, the existence of
areas that at a greater extent favour air-sea interaction leading to the
development of torrential rainfall in the Valencia region has been shown. This
methodology could be extended to the whole Mediterranean basin to look for
such potential recharge areas. The identification of sea areas that
contribute to the development or intensification of heavy rain events in the
Mediterranean countries could be a useful prognosis and/or monitoring tool.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The particular configuration of the Western Mediterranean area, an almost
closed sea surrounded by high mountain ranges and with little water-mass exchange
with other seas, determines its own meteorological <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx38 bib1.bibx37 bib1.bibx41" id="paren.1"/> and oceanic
<xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx52" id="paren.2"/> dynamics and behaviour. A remarkable feature
of the Mediterranean climatology is the torrentiality of its precipitation
regime. This torrentiality leads to relatively frequent floods, floods being
an important meteorological risk in Europe <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx11" id="paren.3"/> and, not so
frequently, Northern Africa, causing high economic losses and
sometimes human casualties.</p>
      <p>Heavy rains and flash floods are frequently recorded and well documented in
the Western Mediterranean basin, as in the MEDEX <xref ref-type="bibr" rid="bib1.bibx23" id="paren.4"/> and CIRCE
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.5"/> projects, and in the Valencia region
<xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx38 bib1.bibx47" id="paren.6"/>. These rain events have been
studied from different points of view, running from a statistical relationship
between cyclones and heavy rain <xref ref-type="bibr" rid="bib1.bibx22" id="paren.7"/> and climatology of cyclones
causing floods or torrential rains <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx20 bib1.bibx6 bib1.bibx28" id="paren.8"/> to numerical
modelling of heavy rain events <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx32 bib1.bibx9 bib1.bibx5 bib1.bibx46 bib1.bibx7 bib1.bibx10 bib1.bibx17" id="paren.9"/>,
in order to investigate their distribution, future trends and the mechanisms
involved in their development.</p>
      <p><?xmltex \hack{\newpage}?>Regarding the effect of sea surface temperature (SST) on torrential rains,
different studies have been made in different areas of the Mediterranean,
ranging from a climatological relationship <xref ref-type="bibr" rid="bib1.bibx45" id="paren.10"/> to the numerical
study of different events <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx4 bib1.bibx26 bib1.bibx35" id="paren.11"/>. For the
Valencia region, evidence of the influence of SST in torrential rains in the
area have been found by means of studying satellite-retrieved SST before and
after rain events <xref ref-type="bibr" rid="bib1.bibx36" id="paren.12"/>, running numerical simulations with
perturbed SST fields <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx54" id="paren.13"/> or using different SST
data sets as model initial conditions <xref ref-type="bibr" rid="bib1.bibx44" id="paren.14"/> for single events.
Other authors have also investigated a possible climatic relationship between
global SST anomalies in the Western Mediterranean and precipitation
events in the Spanish Mediterranean coast <xref ref-type="bibr" rid="bib1.bibx16" id="paren.15"/>. Hence, SST has
been shown as a key, but not the only, factor in the development and/or
intensification of torrential rains in the Valencia region. Although studies
in other Mediterranean areas show differences in the importance of SST in
both annual precipitation and torrential rain events, <xref ref-type="bibr" rid="bib1.bibx26" id="text.16"/>
state that SST variation, coming from different sources, does not
significantly affect the simulation of a deep cyclone in the Eastern
Mediterranean. <xref ref-type="bibr" rid="bib1.bibx35" id="text.17"/> found that SST variations could
weaken a Mediterranean cyclone and <xref ref-type="bibr" rid="bib1.bibx56" id="text.18"/> showed the important role
of surface heat fluxes in the development of medicines. <xref ref-type="bibr" rid="bib1.bibx29" id="text.19"/>
found that a higher SST increases surface heat fluxes, moistens and
destabilizes air mass leading to stronger convection and higher precipitation
totals; <xref ref-type="bibr" rid="bib1.bibx4" id="text.20"/> state that increased SST enhances
precipitation in the Anatolia peninsula for both annual climatology and
extreme events. Results from summarizing cited authors leads to the idea that
SST is a factor that, in the presence of favourable synoptic conditions
<xref ref-type="bibr" rid="bib1.bibx30" id="paren.21"/>, can enhance and/or increase precipitation by helping in the
addition of heat and moisture to the air mass while it does not generate
torrential precipitation events all alone.</p>
      <p>As SST was shown as a key factor in the intensity of torrential rains in the
Valencia region <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx44" id="paren.22"/> the authors wanted to further
investigate the Mediterranean areas that most influenced rain events in our
region. The heat/moisture exchange between the sea and the air mass
travelling across a warmer Mediterranean has been studied from an observational
<xref ref-type="bibr" rid="bib1.bibx12" id="paren.23"/> and modelling <xref ref-type="bibr" rid="bib1.bibx56" id="paren.24"/> perspective. Those surface
fluxes can potentially destabilize the air mass by deepening/intensifying
convection <xref ref-type="bibr" rid="bib1.bibx39" id="paren.25"/>; this has also been recently investigated
in the HyMeX project by <xref ref-type="bibr" rid="bib1.bibx51" id="text.26"/> by the comparison of observations
and model results. They found that, although heavy precipitation events were
observed without significant air–sea fluxes, the large air–sea flux
values simulated were generally correlated with the torrential rain events,
being of interest for us the fact that large air-sea exchanges on the
Balearics-Iberian Peninsula basin are generally associated with heavy rain
events over eastern Spain.</p>
      <p>Depending on the air mass trajectory prior to the rain event, air–sea
interaction could be more or less intense because of the temperature
difference between sea surface and the atmosphere and due to the time in
which exchanges can develop. If such recharge areas, understood as areas
of important or intense heat/moisture air-sea exchanges, could be identified,
that information might be useful for the forecasting and monitoring of heavy rains.</p>
      <p>In previous works by <xref ref-type="bibr" rid="bib1.bibx43" id="text.27"/> an SST climatology was built for the
Mediterranean from satellite data. In that work, SST monthly spatial
distribution was studied for the period 1982–2009. The main results showed the
existence of two different spatial distribution modes in winter and summer
with transitional periods in spring and autumn. At the same time,
differentiated SST areas were identified by means of clustering techniques.
Hence, the relationship between SST values in these areas and torrential rains
could be studied. The objective of this work is to determine the contribution
of the sea surface temperature (SST) to the development/intensification of
torrential rain events in the Valencia region. For the accomplishment of this
objective, a new strategy has been tried in our simulation experiments to
assess the role of SST in the Valencia region, which we think could be
exported to other Mediterranean regions. Instead of arbitrarily perturb SST
field (usually made by adding or subtracting a constant value) close to the
rain area or in the whole simulation domain, we have tried to determine SST
regions that may play a role in the development of the torrential rain and
then to investigate just the effect of that specific area in the model results.</p>
      <p>Consequently, this work consists of two main parts; the first part outlines
the work by <xref ref-type="bibr" rid="bib1.bibx43" id="text.28"/> to briefly introduce the spatio-temporal
structure of SST in the Mediterranean while in the second one numerical model
simulations are run to analyze the influence of SST on the precipitation
model results. The latter part of this paper is structured in three sections;
first one, data and methodology, describes SST data set used and RAMS
meteorological model and then explains the methodology followed in the
simulation experiments. Numerical modelling section presents and discusses
the results of the different simulation experiments. Finally, conclusions
constitute the last section of the paper.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Sea surface temperature data</title>
      <p><xref ref-type="bibr" rid="bib1.bibx43" id="text.29"/> studied sea surface temperature in the Mediterranean for a
28-year long period, ranging from 1982 to 2009. SST data used for that study
were obtained from the NASA/NOAA Pathfinder data bases. The Pathfinder project is
dedicated to the production of global SST maps from 1982 to the present day with
data measured by the AVHRR sensors aboard the NOAA satellites. AVHRR
Pathfinder Version 5.0 data are available at a global scale and at 4km spatial
resolution, and they are obtained twice daily for daytime and night-time
satellite passes. This SST data set was validated for its use in the
Mediterranean by <xref ref-type="bibr" rid="bib1.bibx8" id="text.30"/>. <xref ref-type="bibr" rid="bib1.bibx33" id="text.31"/> determined that
Pathfinder data were a consistent data set that could be used in the
detection of trends and SST variability. More information on Pathfinder SST
data is available at <xref ref-type="bibr" rid="bib1.bibx27" id="text.32"/> and on the data set
website<fn id="Ch1.Footn1"><p><uri>http://www.nodc.noaa.gov/SatelliteData/pathfinder4km/</uri></p></fn>.</p>
      <p>A monthly climatology for the period January 1982 to December 2009 was built
in <xref ref-type="bibr" rid="bib1.bibx43" id="text.33"/> to study SST in the Mediterranean. Mean monthly values
were calculated from daily data in every grid point covering the
Mediterranean, with the restriction of having at least 75 % of valid daily
values, preferably night-time values but using daytime ones if they were not
available. Additionally, clustering techniques were used to study SST spatial
distribution patterns across the whole study period for monthly values and
anomalies. From a temporal analysis two distinct, well-defined SST regimes
were found for summer and winter with two transitional periods in spring and
autumn. Usually, the spring transition from the winter to the summer regime
is more abrupt and shorter in time than the autumn transition. The spring
transition period lasts between 1 or 2 months in April and May, although in
some years April shows more resemblance to the winter than to the summer
regime. The autumn transition lasts longer, from 2 to 3 months,
i.e. September to November, and runs more smoothly. It should be noted, to avoid
confusion, that seasonal nomenclature for temperature regimes does not
strictly coincide with the climatological seasons. In some cases climatic
season and SST regime can be shifted so we can find a summer SST regime
during climatological fall or even early winter.</p>
      <p>From the clustering analysis on spatial SST distribution two main modes of
areal distribution for winter and summer respectively, and two transitional
periods in spring and autumn were found (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). For the
winter mode a clear positive north-to-south gradient (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a)
was found for the whole Mediterranean with higher SST values in the
southernmost part of the Eastern Mediterranean basin. The winter mode usually
starts in late November and lasts until March, although in some years April
retains some structure similar to winter months. After the spring
transitional period (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b), usually April and May, the
summer mode (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c) presents a completely different
structure characterized by the presence of clearly distinct areas. The
coldest areas in summer are the Alboran Sea, Gulf of Lion and the Aegean,
especially its eastern part. Higher SST values are found in distant areas
like the one between the central coast of the Iberian Peninsula (IP) and the
Balearic sea, the Thyrrenian and Ionian seas and the area from the south of
Crete to the Egyptian coast. The highest temperatures are found on the Gulf of
Libya and in another area running from southern Turkey and Cyprus to the
coast of the Middle East. This distribution can be conditioned by oceanic
circulation and, at least in part, by meteorological causes: for example, the
Gulf of Lyon and Aegean sea areas are affected by strong and persistent wind
regimes, Mistral and Etesian winds respectively. The rest of the Western
Mediterranean (WMED) basin wind regime in summer is dominated by breeze
cycles and vertical air mass recirculation <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx41" id="paren.34"/> over
the basin which may be the drivers of the clusters in the Valencia
region-Balearic Islands area and in the Thyrrenian sea. In the Eastern
Mediterranean basin <xref ref-type="bibr" rid="bib1.bibx24" id="paren.35"/>, the Gulf of Libya and Middle East are
areas where breeze cycles develop in summer. The prevailing light surface
winds can favour the stagnation, or weak displacement, of surface waters, an
exception is made of the Aegean sea where the Etesian (N-NE) winds are
predominant in summer. The autumn transitional period (Fig. <xref ref-type="fig" rid="Ch1.F1"/>d)
usually starts in October, although in some years it can
comprise part of September, and it is not as steep as the spring transitional
mode, usually ending in November and leading to the winter regime in December.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Mean SST value (left column panels, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and clustering (right column panels) for
<bold>(a)</bold> winter, <bold>(b)</bold> spring, <bold>(c)</bold> summer and <bold>(d)</bold> autumn SST regimes (from Pastor, 2012),
showing latitudinal SST gradient in winter and discrete area patterns in
summer along with two transitional regimes in spring and autumn. <italic>Same cluster index on different season do not stand for same SST values.</italic></p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>RAMS model: description and configuration</title>
      <p>Regional Atmospheric Modelling System (RAMS) <xref ref-type="bibr" rid="bib1.bibx50" id="paren.36"/> has been used
in previous work at Fundación CEAM in the study of Mediterranean meteorology
and pollutant dispersion from versions 4.x up to the most recent 6.0 version,
the one used to run simulations shown in this paper. RAMS optimum
configuration for mesometeorological studies in the Valencia region was
investigated by <xref ref-type="bibr" rid="bib1.bibx55" id="text.37"/>. RAMS has also been used to study the
effect of sea surface temperature on torrential rains <xref ref-type="bibr" rid="bib1.bibx44" id="paren.38"/>, air
pollution dispersion <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx48 bib1.bibx49" id="paren.39"/> and
on the implementation of a heatwave alert system in the Valencia region
<xref ref-type="bibr" rid="bib1.bibx18" id="paren.40"/>. RAMS has also been used in the study of heavy rains and
floods in the Mediterranean area by other authors like <xref ref-type="bibr" rid="bib1.bibx34" id="text.41"/>,
<xref ref-type="bibr" rid="bib1.bibx14" id="text.42"/>, <xref ref-type="bibr" rid="bib1.bibx46" id="text.43"/> and <xref ref-type="bibr" rid="bib1.bibx17" id="text.44"/>.</p>
      <p>The initial and boundary atmospheric conditions used for the simulations in
this paper come from the National Centre for Environmental Prediction (NCEP)
reanalysis, obtained from the National Center for Atmospheric Research (NCAR)
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.45"/>. Reanalysis data are available every 6 h at
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> resolution and 17 pressure levels. These data are used in a
four-dimensional data assimilation scheme to define forcing at the lateral
boundaries of the outermost five grid cells of the largest simulation domain.
For the surface boundary conditions we have used land cover data sets from the
US Geological Survey <xref ref-type="bibr" rid="bib1.bibx1" id="paren.46"/>. SST initial data for the
simulation was obtained for the model domain from the NASA/NOAA Pathfinder data bases.</p>
      <p><?xmltex \hack{\newpage}?>RAMS own soil-vegetation surface scheme (LEAF-3) is applied to evaluate
sensible and latent heat flux exchanges with the atmosphere, using prognostic
equations for temperature and soil moisture. LEAF-3 has been prescribed with
a homogeneous soil texture of the clay-loam type. Soil column holds 11 layers
down to a depth of 2 m with moisture initialized with a uniform profile at a
value of 0.38 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of water per cubic metre of total volume. The
initial soil temperature profile is obtained by subtracting 2.3 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C from the
surface air temperature in the top soil layer. Temperature linearly decreases
by 1 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the bottom soil <xref ref-type="bibr" rid="bib1.bibx49" id="paren.47"/>.</p>
      <p>Simulation runs in this paper have been designed with four domains of
decreasing size at increasing spatial resolution. Four, two-way interactive,
nested domains have been used whose horizontal resolution is shown in Table <xref ref-type="table" rid="Ch1.T1"/>.
All four grids hold 45 vertical levels, starting from a
30 m thick level near the surface that gradually increases to a maximum of
1000 m thickness near the model top, located at about 17 000 m. The cloud and
precipitation microphysics scheme <xref ref-type="bibr" rid="bib1.bibx57" id="paren.48"/> has been applied in all
the domains. From the work of <xref ref-type="bibr" rid="bib1.bibx17" id="text.49"/> the Kuo convective
parameterization scheme has been activated in RAMS model for the three outer
grids as it showed the best results in the modelling of torrential rain
events. For model grid 4 (1.5 km horizontal resolution) no convective
parameterization is activated so that the model is left free to generate its
own small-scale features and convective precipitation.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Rams model settings.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Grid</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mtext>a</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msup><mml:mi>y</mml:mi><mml:mtext>a</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msup><mml:mi>z</mml:mi><mml:mtext>a</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>X</mml:mi><mml:mtext>b</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">Time<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">90</oasis:entry>  
         <oasis:entry colname="col3">80</oasis:entry>  
         <oasis:entry colname="col4">45</oasis:entry>  
         <oasis:entry colname="col5">40 500</oasis:entry>  
         <oasis:entry colname="col6">60</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">110</oasis:entry>  
         <oasis:entry colname="col3">101</oasis:entry>  
         <oasis:entry colname="col4">45</oasis:entry>  
         <oasis:entry colname="col5">13 500</oasis:entry>  
         <oasis:entry colname="col6">30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">83</oasis:entry>  
         <oasis:entry colname="col3">101</oasis:entry>  
         <oasis:entry colname="col4">45</oasis:entry>  
         <oasis:entry colname="col5">4500</oasis:entry>  
         <oasis:entry colname="col6">15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">128</oasis:entry>  
         <oasis:entry colname="col3">101</oasis:entry>  
         <oasis:entry colname="col4">45</oasis:entry>  
         <oasis:entry colname="col5">1500</oasis:entry>  
         <oasis:entry colname="col6">5</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:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> number of grid points; <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> cell size in metres;
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula>  model timestep in seconds.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Numerical modelling methodology</title>
      <p>To achieve the objective of this work, to determine SST contribution to the
development/intensification of torrential rains in the Valencia region, we
have employed a new approach for our simulation experiments with RAMS model.
As a first step, we have studied the air mass trajectories leading to the
rain event in order to determine the Mediterranean areas that can act as
moisture/heat sources for that specific rainfall episode. Air mass backward
trajectories in the days previous to the event have been computed with the
HYSPLIT model available online on the NOAA Air Resources Laboratory
website<fn id="Ch1.Footn2"><p>Rolph, G. D.: Real-time Environmental Applications and Display
sYstem (READY) Website <uri>http://www.ready.noaa.gov</uri>, NOAA Air Resources
Laboratory, College Park, MD.</p></fn>, fed with NCEP/NCAR Reanalysis. First, a
numerical simulation is run for each studied event with SST
original/unperturbed data so it can be used as a control simulation. Then, new
RAMS simulations are run with perturbed SST for the different areas located
along the air path. Thus, in principle, the difference between control and
perturbed simulations should only come from the different initialization of
the SST field. In most cases, simulation results will be affected by SST from
different areas in the Mediterranean so we should perform a control
simulation with unperturbed monthly SST plus m simulations, m being the
number of sea areas across the air mass trajectory for each rain event, with
area prescribed/perturbed SST. Additionally we ran another simulation
for all events in which SST is perturbed for all areas in the air mass path.
For all these simulations, perturbation of SST consists in prescribing a
10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C constant value for the whole area in order to minimize air-sea exchanges
while the air mass travels across the area. In this sense,
<xref ref-type="bibr" rid="bib1.bibx35" id="text.50"/> stated that numerical experiments with colder SST
values lowered the intensity of the sea-surface fluxes and reduced convection
development in the case of a Mediterranean cyclone. More recently,
<xref ref-type="bibr" rid="bib1.bibx54" id="text.51"/> have also studied the sensitivity of a severe convective
storm to SST field modification and found that SST cooling can dramatically
affect convection by affecting surface fluxes and air-sea exchanges while
warmer SST enhances and intensifies convection processes.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Numerical modelling results</title>
      <p>In this work we have chosen three torrential rain events with intense and
persistent precipitation provoking important floods in the Valencia region.
The selected events occurred in late summer or autumn, when most of the
floods and heavy rain episodes are registered in our region
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.52"/>, for September 1989, October 2000 and October 2007.
These rain events correspond to the summer and winter SST modes and to the
transitional autumn regime (Table <xref ref-type="table" rid="Ch1.T2"/>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Set of simulation experiments.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Event</oasis:entry>  
         <oasis:entry colname="col2">Control</oasis:entry>  
         <oasis:entry colname="col3">Simulations with</oasis:entry>  
         <oasis:entry colname="col4">SST distribution</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">perturbed SST</oasis:entry>  
         <oasis:entry colname="col4">type</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">September 1989</oasis:entry>  
         <oasis:entry colname="col2">CtrlA</oasis:entry>  
         <oasis:entry colname="col3">A1, A2, A3, A0</oasis:entry>  
         <oasis:entry colname="col4">Summer</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">October 2000</oasis:entry>  
         <oasis:entry colname="col2">CtrlB</oasis:entry>  
         <oasis:entry colname="col3">B1, B2, B3, B0</oasis:entry>  
         <oasis:entry colname="col4">Transitional autumn</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">October 2007</oasis:entry>  
         <oasis:entry colname="col2">CtrlC</oasis:entry>  
         <oasis:entry colname="col3">C1,C2,C0</oasis:entry>  
         <oasis:entry colname="col4">Winter</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.88}[.88]?><table-wrap-foot><p>Perturbation of SST sets all values in area to 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>These rain episodes share some synoptic features that are present in a great
number of the intense rain events in the Valencia region
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.53"/>. In the three cases we found an easterly flow, ranging
from northeast to southeast, both at surface and middle levels feeding
moisture from the Mediterranean to the synoptic or mesoscale rain-producing
systems. At upper levels we found the presence of cold unstable air over or
close to the Valencia region, in the form of a cold trough over eastern IP
for the October 2000 event or a cold pool over southwestern IP in the other
two cases with its easternmost part close to eastern IP. This synoptic
situation with instability at upper levels and marine moisture feeding to the
Valencian orography, acting as trigger mechanism, led to persistent and
intense rains for the three events and appeared in many important rain
episodes in the Valencia region. Table <xref ref-type="table" rid="Ch1.T2"/> shows simulation
experiments run for this paper. In the following subsections, numerical
modelling results for the three rain events are analysed. Although in this
work we do not intend to evaluate the accuracy of the modelling results (for
more detailed model evaluation see <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx46" id="altparen.54"/>), we have to note that, in general terms, RAMS control
simulations reproduce fairly well spatial distribution of precipitation but
fails in reproducing accumulated values, especially by underestimating
maximum values. An observed precipitation map for each event is available as
Supplement to aid for a comprehensive evaluation of model results.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Synoptic situation on 7 September 1989, 00:00 UTC; <bold>(a)</bold> sea surface
pressure and winds at surface level; <bold>(b)</bold> geopotential height (gpm) and
temperature at 500 hPa. Plotted from NCEP model data.</p></caption>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f02.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>September 1989 event</title>
      <p>From 4 to 7 September heavy rains were recorded in the Valencia region,
mostly in its southern-central areas. Accumulated precipitation values
reached 500 mm during the whole event in some stations, with daily values
greater than 200 mm <xref ref-type="bibr" rid="bib1.bibx44" id="paren.55"/>. This rain event was characterized at
surface levels by the presence of a high pressure anticyclonic area over
central Europe and relatively low pressures over Northern Africa
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>a), driving the air mass along an easterly/northeasterly flow
over the Mediterranean (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a), while at upper levels
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>b) a cold air pool was located over IP.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Backward trajectories ending in the rain area (38.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 0.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) for the
September 1989 event. <bold>(a)</bold> 72 h trajectories (source: NOAA Air Resources
Laboratory) ending at 100 m a.g.l. (above ground level) at 18:00 UTC, 6 September (blue)
and 00:00 UTC, 7 September (red), <bold>(b)</bold> trajectories ending at 00:00 UTC, 7 September
(source: RAMS model, CtrlA: black, A1: red, A2: green, A3: blue, A0: orange).
Black box encompasses Valencia region, including Valencia (VAL) and Alicante (ALI)
location.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f03.png"/>

        </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F4"/> shows SST fields used in the different simulations of
the September 1989 rain event, corresponding to a summer SST spatial
distribution, according to the work of <xref ref-type="bibr" rid="bib1.bibx43" id="text.56"/> shown in Fig. 1.
As the rain event occurred during the first week of the month, monthly August
data for SST have been used. Upper left map shows SST for the control run,
original Pathfinder SST data while the rest of maps show the perturbed SST field,
prescribing a value of 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for the different simulations in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>RAMS model SST fields for the simulation of September 1989 event
(August monthly data): <bold>(a)</bold> control run, <bold>(b)</bold> A1 simulation, <bold>(c)</bold> A2,
<bold>(d)</bold> A3 and <bold>(e)</bold> A0. Perturbations of SST field obtained by
prescribing a constant 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the desired areas (violet).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f04.png"/>

        </fig>

      <p>Simulations for this event, with a duration of 120 h, begin on 3 September
at 00:00 UTC and end at 00:00 UTC on 8 September. RAMS model accumulated
precipitation total for the whole set of simulations is shown in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>. Control simulation (CtrlA) for the September 1989 event shows a
wide precipitation area with amounts higher than 100 mm where two areas with
maximum precipitation can be distinguished. The northernmost, and smaller,
area reaches accumulated values of 400 mm while the greater one surpasses 600 mm,
mostly standing over the sea. From these results, most of the
precipitation, and also the highest values, occurred over the sea and coastal areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>RAMS model accumulated precipitation (mm) for September 1989 event for
<bold>(a)</bold> CtrlA simulation, <bold>(b)</bold> A1, <bold>(c)</bold> A2, <bold>(d)</bold> A3
and <bold>(e)</bold> A0.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f05.png"/>

        </fig>

      <p>In the A1 simulation (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b) significant changes were
observed with respect to the control simulation. The 100 mm area is now
greater over land than in the control simulation but the most noticeable
difference is the displacement of the maximum precipitation area some
distance inland, although not far from the coast, with values higher than
500 mm. In this case, the maximum simulated precipitation is located over land on
coastal areas and rapidly decreases when going offshore, contrary to the
control simulation. A dramatic precipitation decrease appears in A2
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>c) simulation with respect to the control one, with
precipitation under 100 mm over the whole simulation area and its maximum
located far to the south from the control simulation peak. For A3 experiment
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>d) the model shows a rainfall spatial distribution that
resembles that of the control simulation but with lower values across the
whole modelling area. Again, the precipitation maximum extends across the
coastal areas and over the sea but with a more confined spatial extent than
in the control simulation, especially to the north of the simulation area
where a maximum precipitation area from the control simulation is not present
in this case. Finally, A0 experiment (Fig. <xref ref-type="fig" rid="Ch1.F5"/>e) shows similar
results to those from A2 simulation but with still lower values and almost
without precipitation over land except from a reduced area over the coast.</p>
      <p>It is remarkable that A1 simulation modifies precipitation field and
increases its values, especially the higher ones, with respect to control
simulation while the rest of the simulations clearly decrease precipitation
values and its spatial extent. The analysis of vertical cross sections of
equivalent potential temperature and vertical velocity (see Supplement)
present some differences between the analyzed simulations. For
control A1 and A3 simulations, a moist surface air flux towards the Valencian
coast is found (see RAMS model trajectories in Fig. <xref ref-type="fig" rid="Ch1.F3"/>), with
higher moisture content for the CtrlA and slightly decreasing values for A1
and A3, while A2 and A0 surface fluxes present lower moisture contents than
in the rest of the experiments. A notable difference comes for the vertical
velocity field with strong vertical circulation present on CtrlA and A1
simulations being weak in the rest of experiments. In the case of the
control simulation this vertical ascent is present just off the coast while
in A1 it is displaced some distance inland, and probably enhanced by orographic
lifting. These changes could explain the displacement of the maximum
precipitation area from its offshore location on CtrlA to the new location
over land on A1.</p>
      <p>It is also noticeable that RAMS computed trajectories (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b)
for all the simulations are quite similar, and also similar
to the ones computed from reanalysis data, concluding that no significant
changes arise in atmosphere dynamics for the different experiments.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>October 2000 event</title>
      <p>A long-lasting rain episode took place in the Valencia region between 22 and
26 October 2000. Rainfall also had a large spatial extent, affecting most of
the Valencia region, with daily accumulated values greater than 300 mm in a
noticeable number of stations with total episode accumulation over 500 mm
(see Supplement). Regarding synoptic conditions (Fig. <xref ref-type="fig" rid="Ch1.F6"/>),
a cold trough at upper levels extended across western IP
until an isolated cold air pool formed over Southwest IP and Northwest Africa
on 22 October. For this event, a long east to southeasterly air flow
travelled across the whole Western Mediterranean basin (Figs. <xref ref-type="fig" rid="Ch1.F6"/>
and <xref ref-type="fig" rid="Ch1.F7"/>a) heading towards the eastern coast of the IP. In the
trajectories computed from simulation experiments (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b), the
cases with perturbed SST field move slightly to the north with respect to the
control simulation in the area between Sicily and the coast of Libya to
converge again near the Balearic Islands. Sea surface temperature field
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>) for this event showed a transitional autumn distribution (see
Fig. 1d). A more comprehensive description of the event can be found in <xref ref-type="bibr" rid="bib1.bibx19" id="text.57"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Synoptic situation on 22 October 2000, 00:00 UTC; <bold>(a)</bold> sea surface
pressure and winds at surface level; <bold>(b)</bold> geopotential height (gpm) and
temperature at 500 hPa. Plotted from NCEP model data.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f06.png"/>

        </fig>

      <p>In this case simulations ran for 120 h, starting on 21 October at 00:00 UTC
and ending at 00:00 UTC on 26 October; model precipitation total is shown in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>. The precipitation event recorded in October 2000 (see
Supplement) affected a wide area to the centre and north of the
Valencia region; RAMS model accumulated precipitation results for the control
simulation, CtrlB (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a), show relatively good agreement
with recorded precipitation regarding spatial distribution but fails in the
maximum rainfall values. Model results show a large rain band extending
parallel to the coast, but some distance inland, with values higher than 100 mm
inland and weak precipitation over the sea. Regarding maximum values, some
reduced areas over 200 mm are found and a maximum accumulated precipitation
over 300 mm is located to the north of the modelled area. In the first
simulation with perturbed SST field B1 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b), RAMS model
shows similar results to those in control simulation but with slightly higher
values over land. A greater precipitation area, with values over 100 mm, than
in control run is found over land to the south of the model grid while similar or
slightly higher values are found on the rest of the rain areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Backward trajectories ending in the rain area (40.0, 0.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) for the
October 2000 event. <bold>(a)</bold> 72 h trajectories (source: NOAA Air Resources
Laboratory) ending at 100 m a.g.l. at 18:00 UTC, 25 October (blue)
and 00:00 UTC, 26 October (red), <bold>(b)</bold> trajectories ending at 00:00 UTC, 7 September
(source: RAMS model, CtrlB: black, B1: red, B2: green, B3: blue, B0: orange).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f07.png"/>

        </fig>

      <p>The rest of the simulations for this event (B2, B3, B0) show similar results
regarding spatial rainfall distribution while they differ in the amounts of
precipitation calculated by the model. B2 simulation (Fig. <xref ref-type="fig" rid="Ch1.F9"/>c)
shows a remarkable shift towards the coast line for simulated rainfall where
a rain band over 100 mm is found. Precipitation inland, in the western half
of the model grid, is clearly lower than in control simulation, more
remarkably for the maximum areas. The third simulation for the October 2000
event, B3 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>d), shows the same spatial structure for
precipitation seen in B2 run with a rain band along the coast but with
generally higher precipitation values than in B2 case. Finally, B0 simulation
results (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e) are fairly similar to those in B2 in spatial
distribution just showing slightly lower accumulated precipitation values.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>As Fig. 4 for October 2000 event: <bold>(a)</bold> control run, <bold>(b)</bold> B1,
<bold>(c)</bold> B2, <bold>(d)</bold> B3 and <bold>(e)</bold> B0.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f08.png"/>

        </fig>

      <p>Summarizing the model results, B1 simulation shows similar results to the control
simulation for precipitation spatial distribution but with some changes for
accumulated rainfall while the rest of the numerical experiments shift
precipitation rain band to the east just over the coast line. Regarding
modelled precipitation, B2, B3 and B0 differ in accumulated value, B0 being
the one with lower values and B3 the one with the highest ones. It is
remarkable that B0 simulation gives very similar precipitation values as in B2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>RAMS model accumulated precipitation (mm) for October 2000 event for
<bold>(a)</bold> CtrlB simulation, <bold>(b)</bold> B1, <bold>(c)</bold> B2, <bold>(d)</bold> B3
and <bold>(e)</bold> B0.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f09.png"/>

        </fig>

      <p>Regarding Mediterranean moisture fluxes, RAMS model trajectories in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>b show the long-range marine advection towards the Valencia
coast. In this event, control and B1 simulations show similar equivalent
potential fields (see Supplement) in a cross vertical section at the
latitude of the rain area. In the rest of the simulations, B3, B2 and B0
moisture flux is clearly weaker than in the first ones. For these latter
modelling experiments, a decrease in equivalent potential temperature (see
Supplement) is found over the coastal rain areas with respect to the
CtrlB and B1 simulations.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>October 2007 event</title>
      <p>The October 2007 rain event is the shortest of the three episodes studied in
this paper. Rain started on the second half of 11 October and lasted for
about 16 to 20 h depending on the location. In addition to its shorter
duration, the rain had a high spatial concentration and intensity, focusing
on the coastal area to the south of the Valencia and northern Alicante
provinces. Records over 300 mm were obtained in this area with a few points
over 400 mm <xref ref-type="bibr" rid="bib1.bibx46" id="paren.58"/>.</p>
      <p>Similar to the other two events, strong instability was present at upper
levels with a cold trough arriving to the IP between 9 and 10 October.
Finally, the trough evolved to an isolated cold pool which was located in the vertical of the Valencia region on 11 and 12 October
(Fig. <xref ref-type="fig" rid="Ch1.F10"/>). At surface levels a northeasterly wind flow (Fig. <xref ref-type="fig" rid="Ch1.F11"/>a)
advected a humid air mass across the northwestern
Mediterranean towards the Valencia region; it can be seen (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b)
that for the perturbed SST simulations the path of the air
mass over the sea is longer than in control simulation but is still travelling
over the same areas of the Mediterranean. This wind flux was driven across
the southern edge of a strong anticyclone located over France and southern
England, with high pressures extending across central Europe. Figure <xref ref-type="fig" rid="Ch1.F12"/>
shows SST distribution for this event, corresponding to winter mode.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Synoptic situation on 12 October 2007, 00:00 UTC; <bold>(a)</bold> sea surface
pressure and winds at surface level; <bold>(b)</bold> geopotential height (gpm) and
temperature at 500 hPa. Plotted from NCEP model data.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f10.png"/>

        </fig>

      <p>The latter modelled rain event, October 2007, presents similarities regarding
recorded precipitation spatial distribution with the one from September 1989.
Rainfall was located in the area with highest torrentiality in the Valencia
region and model results show roughly the same spatial distribution although
the 2007 case has a lower spatial extent. Control simulation
(Fig. <xref ref-type="fig" rid="Ch1.F13"/>a) shows a maximum precipitation accumulated value (above
240 mm) located on the centre of the model grid, some distance inland, with a
secondary maximum area over the sea with a clearly lower value. A relatively
large area with precipitation values exceeding 100 mm lays around the first
cited maximum area.</p>
      <p>The first simulation with perturbed SST, C1 (Fig. <xref ref-type="fig" rid="Ch1.F13"/>b), shows
a notable decrease of about 100 mm in the maximum accumulated values.
Concerning spatial distribution, rainfall structure over land present the
same features as in control simulation; the main differences appear over the sea
where the secondary maximum located over the sea in control simulation
completely disappears in this case while a larger rain band appears to the
south of the model grid. The simulation results for C2 (Fig. <xref ref-type="fig" rid="Ch1.F13"/>c)
and CO (Fig. <xref ref-type="fig" rid="Ch1.F13"/>d) experiments present quite
similar results. Both simulations show a dramatic decrease on model-accumulated precipitation that disappears over most of the model grid, only
some residual precipitation is found inland far away from the control
simulation precipitation area.</p>
      <p>As in the previous experiments, air mass trajectories
(Fig. <xref ref-type="fig" rid="Ch1.F11"/>b) and vertical cross section (see Supplement) of
equivalent potential temperature plus vertical velocity from RAMS model
results have been analysed. Air mass advection from northern Mediterranean
brought marine air at surface levels towards the Valencia region. For the
control and C1 simulations, clear surface moisture flux from the
Mediterranean to the precipitation area is found while some differences
appear in the location and intensity of vertical ascent. Again, C2 and
CO simulations show very similar results with a drastic decline of surface
moisture flux towards the coast, leading to reduced precipitation.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>A study has been conducted to determine the influence of SST in the results
of numerical modelling of torrential rain events. For this purpose, three
different torrential rain events in the Valencia region, eastern Spain, have
been studied with the Regional Atmospheric Modelling System (RAMS). Unlike
other authors who tried to elucidate SST role in numerical simulations by
uniformly modifying the SST field in the study area, the authors have adopted
a different approach. Instead of disturbing the entire SST field or only the
marine areas closest to the rain area, we perturbed SST only over the sea
areas that most probably could play a role in the development of the rain
episode. Main conclusions of the subsequent simulation experiments are
discussed in this section.</p>
      <p>In a previous work <xref ref-type="bibr" rid="bib1.bibx43" id="paren.59"/> SST field in the Mediterranean was
analysed from satellite data. The development of an SST climatology determined
its spatial distribution across the year, finding two main distribution modes
in winter and summer and transitional periods, spring and autumn, between
them; these SST regimes do not strictly coincide with climatological seasons.
In both modes (winter and summer), different areas presenting similar
qualitative features, regarding spatial extent and SST values, were found
throughout the whole study period. This information has been used in this
paper to perturb SST field according to those areas so its influence in the
model simulation of the rain event could be investigated. A more extensive
discussion of SST spatial distribution regime in the Mediterranean can be
found in Sect. 2.1, sea surface temperature data.</p>
      <p>For each event air mass trajectories have been studied to determine the
Mediterranean areas in which air-sea exchange that affects precipitation
amount and distribution could take place. Then, a value of 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was
prescribed for each area the air mass travelled above assuming no
heat/moisture air–sea exchanges are present or are almost inhibited for this
SST. With the new SST fields, as many simulations as perturbed SST areas were
defined have been run. Results of the different modelling experiments have
been compared against a control simulation with original unperturbed SST data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Backward trajectories ending in the rain area (38.8, 0.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) for the
October 2007 event. <bold>(a)</bold> 72 h trajectories (source: NOAA Air Resources
Laboratory) ending at 100 m a.g.l. at 18:00 UTC, 11 October (blue)
and 00:00 UTC, 12 October (red), <bold>(b)</bold> trajectories ending at 00:00 UTC, 12 October
(source: RAMS model; CtrlC: black, C1: red, C2: green, C0: orange).</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f11.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>As Fig. 4 for October 2007 event: <bold>(a)</bold> control run,
<bold>(b)</bold> C1, <bold>(c)</bold> C2 and <bold>(d)</bold> C3.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f12.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><caption><p>RAMS model accumulated precipitation (mm) for October 2007 event for
<bold>(a)</bold> CtrlC simulation, <bold>(b)</bold> C1, <bold>(c)</bold> C2 and <bold>(d)</bold> C0.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/15/1677/2015/nhess-15-1677-2015-f13.png"/>

      </fig>

      <p>Summarizing model-accumulated precipitation results from all simulations
(Figs. 5, 9 and 13) it stands out that SST plays an important role in the
development and/or intensification of torrential rain events in the Valencia
region. At a greater or lesser extent, remarkable changes have been found on
both the spatial distribution and/or accumulated precipitation. Depending on
the modified SST area, main changes on the simulation results affect spatial
distribution or total amount of precipitation calculated by the model.</p>
      <p>For the summer and winter SST regime events, September 1989 and October 2007
respectively, the modified SST simulation experiments that resemble more
the control simulation are the ones in which the areas with higher SST are
preserved and the modified areas are the coldest in the air mass trajectory.
On the contrary, modifying areas closest to the Valencia region or the ones
with highest SST led to a notable or even drastic decline in precipitation
totals. For these events, the most important change has been in the total
rainfall amount calculated by the model, usually decreasing values in a
greater or lesser degree. Spatial precipitation distribution, although with
some changes, showed a similar structure and/or location in most cases. In
the event of October 2000 the simulation with less change with respect to the
control simulation in both spatial distribution and rainfall amounts is the
one where the most remote area across the air mass trajectory (Gulf of Tunis
and Libyan coast) modifies its SST, and is also the one with highest SST
values. In the rest of the cases the main effect has been a change in model
rainfall spatial distribution. Contrasting with the other two events, in
October 2000, with SST autumn transitional regime, a change occurred in the
spatial distribution of the precipitation by moving the precipitation field
to the east but still retaining the rain band spatial structure. Changes in
total accumulated precipitation were not as important as in the case of the
two other events but still significant for some of the simulations.</p>
      <p>The attribution of changes in the model results should be handled with
caution. Additionally to the effect of the modification on the heat/moisture
exchanges between the air mass and the sea because of the perturbation of
initial SST fields, it must be taken into account the possibility that these
perturbations could affect the dynamics of the atmosphere. Air mass
trajectories computed from RAMS model control simulations are quite similar
to those computed from reanalysis data. Mostly, trajectories for the RAMS
SST perturbed simulations do not show noticeable changes with respect to the
control simulation one despite the perturbation of the SST field. Hence, we
can conclude that the perturbation of SST field did not produce appreciable
changes in atmospheric dynamics. Consequently, we can attribute most of, though
not entirely, the changes in the model results to the SST field modification.</p>
      <p>For the Valencia region, taking into account the RAMS model results, the area
with the greatest influence on model precipitation results is the one
comprised between the Valencia coast and the Balearic Islands. To a lesser
extent, other areas with a notable contribution to simulated rainfall are
south of the Tyrrhenian Sea, the Gulf of Tunis and the central sector of the
Western Mediterranean between the Balearic Islands and Corsica-Sardinia. In
these latter cases, their contribution is most important when the air mass
crosses the Western Mediterranean across its path to the Valencia region. It
should be noted that in the case of the Gulf of Tunis a part of the
contribution could be attributed to the coastal areas of Algeria. We have
also found that SST in the northern parts of the Western Mediterranean and
the Straits of Gibraltar have little influence on the development of heavy
rainfall in the Valencia region during the studied episodes.</p>
      <p>The simulation strategy developed in this paper could or should be used to
simulate more torrential rain episodes in other areas of the Mediterranean
basin to look for potential destabilization of air masses that can lead to
such rain events. The determination of sea areas that contribute to the
development or intensification of heavy rain events in the Mediterranean
countries could be used as a prognosis and monitoring tool by monitoring SST
anomalies and/or values in such areas; although attention should also be paid
to other factors, such as the synoptic situation, since the mere presence of
high SST values does not in itself guarantee the occurrence of torrential rains.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/nhess-15-1677-2015-supplement" xlink:title="zip">doi:10.5194/nhess-15-1677-2015-supplement</inline-supplementary-material>.</bold><?xmltex \hack{\newpage}?></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>F. Pastor would like to thank B. Codina for his invaluable help with his doctoral thesis and
Jose Luis Palau for his critical review on this paper. This work was
funded by the Spanish Ministerio de Economía y Competitividad projects
CGL2008-04550/CLI (NIEVA), CSD2007-00067 CONSOLIDER-INGENIO 2010 (GRACCIE),
CTM2014-59111-REDC (RED GRACCIE), CGL2011-30433-C02 (TERMED) and
CGL2010-17623 (MODELISMOS), the Generalitat Valenciana funded project
PROMETEOII/2014/038 (DESESTRES) and the EU-funded Integrated Project CIRCE
(Project No. 036961). The AVHRR Oceans Pathfinder SST data were obtained
from the Physical Oceanography Distributed Active Archive Center (PO.DAAC) at
the NASA Jet Propulsion Laboratory, Pasadena, CA.
(<uri>http://podaac.jpl.nasa.gov</uri>). Reanalysis data for this study are from the
Research Data Archive (RDA) which is maintained by the Computational and
Information Systems Laboratory (CISL) at the National Center for Atmospheric
Research (NCAR). NCAR is sponsored by the National Science Foundation (NSF).
The original data are available from the RDA (<uri>http://dss.ucar.edu</uri>) in data set
number ds090.0. The authors gratefully acknowledge the NOAA Air Resources
Laboratory (ARL) for the provision of the HYSPLIT transport and dispersion
model and/or READY website (<uri>http://www.ready.noaa.gov</uri>) used in this
publication. The CEAM Foundation is supported by the Generalitat Valenciana. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: M.-C. Llasat <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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