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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 Sciences</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 Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/nhess-16-2623-2016</article-id><title-group><article-title>Marine Rapid Environmental Assessment in the <?xmltex \hack{\newline}?> Gulf of Taranto: a multiscale
approach</article-title>
      </title-group><?xmltex \runningtitle{Marine Rapid Environmental Assessment in the Gulf of Taranto}?><?xmltex \runningauthor{N.~Pinardi et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Pinardi</surname><given-names>Nadia</given-names></name>
          <email>nadia.pinardi@unibo.it</email>
        <ext-link>https://orcid.org/0000-0003-4765-0775</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lyubartsev</surname><given-names>Vladyslav</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Cardellicchio</surname><given-names>Nicola</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Caporale</surname><given-names>Claudio</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ciliberti</surname><given-names>Stefania</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Coppini</surname><given-names>Giovanni</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>De Pascalis</surname><given-names>Francesca</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Dialti</surname><given-names>Lorenzo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Federico</surname><given-names>Ivan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Filippone</surname><given-names>Marco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Grandi</surname><given-names>Alessandro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Guideri</surname><given-names>Matteo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lecci</surname><given-names>Rita</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lamberti</surname><given-names>Lamberto</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lorenzetti</surname><given-names>Giuliano</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lusiani</surname><given-names>Paolo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Macripo</surname><given-names>Cosimo Damiano</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Maicu</surname><given-names>Francesco</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7448-0022</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Mossa</surname><given-names>Michele</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6477-8714</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Tartarini</surname><given-names>Diego</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Trotta</surname><given-names>Francesco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Umgiesser</surname><given-names>Georg</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9697-275X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Zaggia</surname><given-names>Luca</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Physics and Astronomy, University of Bologna, Bologna,
40127, Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Centro EuroMediterraneo sui Cambiamenti Climatici, Bologna, 40128,
Italy</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Istituto per lo studio dell'Ambiente Marino Costiero-CNR, Taranto,
74100, Italy</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Istituto Idrografico della Marina, Genoa, 16134, Italy</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Istituto Nazionale di Geofisica e Vulcanologia, Bologna, 40128, Italy</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Istituto di Scienze Marine-CNR, Venice, 30122, Italy</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Civil, Environmental, Building Engineering and
Chemistry, Technical University of Bari, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Nadia Pinardi (nadia.pinardi@unibo.it)</corresp></author-notes><pub-date><day>9</day><month>December</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>12</issue>
      <fpage>2623</fpage><lpage>2639</lpage>
      <history>
        <date date-type="received"><day>15</day><month>May</month><year>2016</year></date>
           <date date-type="rev-request"><day>3</day><month>June</month><year>2016</year></date>
           <date date-type="accepted"><day>2</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://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016.html">This article is available from https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016.pdf</self-uri>


      <abstract>
    <p>A multiscale sampling experiment was carried out in the Gulf of
Taranto (eastern Mediterranean) providing the first synoptic evidence of the
large-scale circulation structure and associated mesoscale variability. The
mapping of the mesoscale and large-scale geostrophic circulation showed the
presence of an anticyclonic large-scale gyre occupying the central open ocean
area of the Gulf of Taranto. On the periphery of the gyre upwelling is
evident where surface waters are colder and saltier than at the center of the
gyre. Over a 1-week period, the rim current of the gyre undergoes large
changes which are interpreted as baroclinic–barotropic instabilities,
generating small-scale cyclonic eddies in the periphery of the anticyclone.
The eddies are generally small, one of which can be classified as a
submesoscale eddy due to its size. This eddy field modulates the upwelling
regime in the gyre periphery.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Marine Rapid Environmental Assessment (MREA) was developed in the late 1990s
to collect synoptic oceanographic data relevant for nowcasts, forecasts and
derived applications (Robinson and Sellschopp, 2002). Situational sea
awareness relies on observational and modeling information on the dynamical
state of the sea in order to ensure safer and more efficient operations.
MREA contributes to situational sea awareness by advancing the synoptic data
acquisition for state estimation and forecasting. Opportunity observations,
such as ARGO profilers, are normally not abundant enough to resolve the
local scales of interest especially from a synoptic point of view. Thus MREA
is one of the optimal experimental strategies to collect definitive evidence
on ocean mesoscales for improving knowledge and forecasts.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>The Gulf of Taranto (upper panel) and the Mar Grande (lower
panel) bathymetry and coastlines. In the lower panel, the connection of Mar
Grande with Mar Piccolo is indicated.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f01.png"/>

      </fig>

      <p>The ocean is eventful and intermittent, and several processes generally
contribute to its space–time variability. For its physical state variables,
the space scales that MREA methodology targets are from a few hundred meters
to several kilometers and temporal scales range from hours to days. Assuming a
timescale of several days, the dominant variability is the large-scale general
circulation and its mesoscale and submesoscale components (Thomas et al.,
2008). At shorter timescales internal waves, upper mixed layer daily cycles
and tides dominate the energy spectrum (Talley et al., 2011). MREA
observations are necessary to resolve specific time and space scales of
interest, thus increasing the usefulness of the observations for nowcasts and
forecasts.</p>
      <p>The MREA methodology has three main components: (1) the observational
strategy and ocean state estimation; (2) the nowcast and forecasting studies;
(3) the forecast/analysis validation and reanalysis. In this paper we
concentrate on the observational strategy and the objective mapping of the
resulting circulation structures.</p>
      <p>MREA has been implemented globally, in several regions, and adaptive sampling
has also been developed (Lermusiaux, 2007, Frolov et al., 2014).
Intermittency and multiscale processes have led to the concept of nested
forecasts, which make use of optimized sampling networks to increase forecast
accuracy. However, it is not yet clear if a regular grid (“lawnmower”)
survey, which is a “classical” strategy for synoptic ocean sampling, would
be less efficient than adaptive path-planned surveys to map the synoptic
variability with unknown field correlation scales.</p>
      <p>We applied MREA to a little studied region of the world's ocean, the Gulf of
Taranto in the northern Ionian Sea (Fig. 1). We use the classical, regular
grid sampling strategy and explore the basic water mass properties as well
as the geostrophic circulation. The insertion of these data in the large-scale operational model of the Mediterranean Forecasting System (Oddo et
al., 2014) and in the nested high-resolution model for the Gulf of Taranto
are shown in a companion paper in this issue (Federico et al., 2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Monthly mean surface currents from reanalysis (Pinardi et
al., 2015) in the Gulf of Taranto. Top panel: June 2014. Bottom panel:
October 2014. The units are m s<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> and the color indicates the
amplitude.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>The four survey CTD station distributions: <bold>(a)</bold> the large-scale survey LS1 and LS2 (red bullets) with the coastal-scale (CS1) survey
in the northwestern corner (blue bullets); <bold>(b)</bold> the Mar Grande (MG) survey.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f03.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>The station average temperature and salinity
profiles for LS1 (left column), LS2 (central) and CS1 (right
column) surveys. The grey shaded areas represent standard deviations of the
survey station profiles from the mean.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f04.png"/>

      </fig>

      <p>Here we analyze four surveys carried out in the area of the Gulf of Taranto
from 1 to 10 October 2014 with the Italian Navy Survey Vessel Galatea and
the RV <italic>Cerruti</italic>. A new multiscale sampling strategy was used to measure the
temperature and salinity structure of the flow field from the open ocean to
the shelf–coastal scales of the Gulf of Taranto (northwestern Ionian Sea
in the Mediterranean Sea) and the coastal–harbor scales of Mar Grande
(Fig. 1). The novelty of this data collection experiment is related to the
different resolution of the stations carried out in the different areas
under the strict constraint of synoptic time coverage (3–4 days in the
ocean).</p>
      <p>The sampling strategy and the temperature and salinity data enables us to
estimate the water masses in the area and construct dynamic height and the
derived geostrophic circulation using objective analysis mapping techniques.
This is the first time that the circulation has been mapped for the whole
Gulf of Taranto with increasing resolution from the coasts to the open ocean
and with synoptic timescale resolution. The usage of the MREA14
observations to assess model performances is given in two companion papers
(Federico et al., 2016; Gaeta et al., 2016)</p>
      <p>The paper is organized as follows: Section 2 describes the data collection
methodology and Sect. 3 the water mass analysis. Section 4 presents the
dynamic height and the geostrophic circulation and Sect. 5 discusses the
results.</p>
</sec>
<sec id="Ch1.S2">
  <title>Circulation structure and data collection methodology</title>
      <p>The Gulf of Taranto is a deep, semi-enclosed ocean area in southern Italy
encircled by two peninsulas, Salento and Calabria (Fig. 1). It is open to
the northern Ionian Sea, and a deep trench of more than 2000 m connects it
to the eastern Mediterranean Sea. The continental shelf area, considered as
the area from the coasts to the 200 m depth contour, occupies only 10 % of
the total Gulf area. The shelf is wider on the Salento than the Calabria
side and a 7.5 km wide sheltered elliptical embayment, called the Mar
Grande, opens in the northeastern part of the Gulf (Fig. 1).</p>
      <p>From a large-scale point of view, the mean circulation in the area can be
assessed by taking the current fields from a reanalysis product (Pinardi et
al., 2015) that does not contain the MREA data. The surface circulation
(Fig. 2) is anticyclonic in October 2014, while in June 2014 it is cyclonic.
This opposite circulation pattern is probably connected to the different
Western Adriatic Coastal Current (WACC; Guarnieri et al., 2013), Northern
Ionian Sea outflow–inflow system in the 2 months and the local atmospheric
forcing.. One of the major aims of the MREA experiment was to verify the
October circulation shown in Fig. 2.</p>
      <p>The Gulf of Taranto is a deep semi-enclosed sea with lateral water exchanges
with the Ionian Sea. The seasonally different circulation of the Gulf of
Taranto described above may lead to changes in the inflow–outflow structure.
In the anticyclonic case, it is likely that vertically stratified water
masses enter the Gulf from the western side (Calabria in Fig. 1) and exit
from the Salento side (eastern side, see Fig. 1). We argue that Mar Grande
could have both lateral and vertical exchanges, as classified by Cessi et
al. (2014). The MREA experiment partly clarified these questions.</p>
      <p>Very few CTD observations in the past have been reported in the Gulf of
Taranto and none with a synoptic coverage. Our goal was mainly to carry out
the first survey of the thermohaline properties of the area with synoptic
coverage at three different scales: large, shelf and harbor scale (Mar
Grande). Based on the large-scale flow structure in Fig. 2, the four surveys
were planned and implemented following the schemes presented in Fig. 3 and
described in Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>number of CTD stations carried out during the surveys at
large, shelf and harbor scales.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.80}[.80]?><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Cruise</oasis:entry>  
         <oasis:entry colname="col2">Number of</oasis:entry>  
         <oasis:entry colname="col3">Data collection</oasis:entry>  
         <oasis:entry colname="col4">Start–end dates and time</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">name</oasis:entry>  
         <oasis:entry colname="col2">CTD</oasis:entry>  
         <oasis:entry colname="col3">time period</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">stations</oasis:entry>  
         <oasis:entry colname="col3">(days)</oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">LS1</oasis:entry>  
         <oasis:entry colname="col2">26</oasis:entry>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">1 Oct  at 15:30 to 3 Oct  at 24:00</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MG1</oasis:entry>  
         <oasis:entry colname="col2">31</oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4">5 Oct  from 7:15 to 11:30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CS1</oasis:entry>  
         <oasis:entry colname="col2">24</oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4">8 Oct  from 16:00 to 20:20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">LS2</oasis:entry>  
         <oasis:entry colname="col2">25</oasis:entry>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">9 Oct  from 01:00 to 10 Oct  at 24:00</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>The large-scale surveys (LS1 and LS2) were carried out over 3 days, a
quasi-synoptic timescale, in an area which is on average 800 m deep. The
stations were repeated in LS2 in order to understand large-scale temperature
and salinity changes on a weekly basis. The mean station distance between
stations was 16 km, which is about the Rossby radius of deformation for the
eastern Mediterranean (Hecht et al., 1988). This spacing was chosen as a
good compromise between the horizontal resolution and the time needed to
cover the area synoptically.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>T-S diagram for all the LS1–LS2 profiles, covering the
depths of 1–900 m (the deepest point is in the central trench of the Gulf of
Taranto, see Fig. 1). Numbers refer to the four water mass types found in the
profiles and discussed in the text.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f05.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Superimposed mean temperature and salinity LS1 and LS2
profiles and differences. Top left: LS1 (grey line) and LS2 (black line)
mean temperature profiles. Top right: LS1 (grey line) and LS2 (black line)
mean salinity profiles. Bottom left: LS2–LS1 mean temperature difference.
Bottom right: LS2–LS1 mean salinity difference.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f06.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Area average precipitation and 10 m wind magnitude during
the cruise period from a limited area high resolution weather forecasting
model of the Mediterranean Sea (Bonavita et al., 2008). Precipitation is
visualized as an histogram (units of m s<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>) and wind magnitude is the
red curve (units of m s<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>).</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f07.pdf"/>

      </fig>

      <p>The shelf-scale survey, CS1, was carried out in the northeastern Gulf of
Taranto, an extended shelf area of the Gulf (Fig. 1). The mean distance
between the stations was 5 km and the mean depth of the area was 400 m. The
MG1 survey covers the shelf area of the Mar Grande which is a heavily human
impacted harbor area. The distance between stations in the Mar Grande is
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 km and the mean depth was 15 m.</p>
      <p>All measurements were carried out with Idronaut CTD 316Plus on board of the
RV <italic>Galatea</italic> for LS1, CS1 and LS2 and the RV <italic>Cerruti</italic> for MG1.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3">
  <title>Thermohaline structure of the Gulf of Taranto and Mar Grande</title>
<sec id="Ch1.S3.SS1">
  <title>Vertical structure of temperature, salinity and density</title>
      <p>The LS1, LS2 and CS1 mean vertical profiles are shown in Fig. 4. The mean
profile is estimated by taking the arithmetic average of observational
points across the profiles which are defined on a 1 m regular vertical grid.
The temperature structure is typical of the end-of-summer stratification in
the eastern Mediterranean, i.e., a mixed layer down to 30 m and a
seasonal thermocline with a temperature gradient of about 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
Between 100 and 300 m it is possible to detect the subsurface salinity
maximum characteristic of the Modified Levantine Intermediate Water (MLIW;
Theocharis et al., 1993), which reaches slightly higher values than 38.9 PSU
in this region. The salinity at the surface does not have a particular mixed
layer structure, but it decreases smoothly between the surface and 100 m. The
low salinity values at the surface (37.8 PSU) could indicate surface waters
of an Adriatic or Atlantic origin (Atlantic Modified Waters, AMW, Theocharis
et al., 1993) because there are no large rivers discharging in this area.
Differences between LS1, LS2 and CS1 are evident in the surface salinities:
CS1 surface salinities are larger than LS1 and LS2 suggesting the upwelling
of saltier waters from the subsurface. Further evidence of upwelling is
given in Sect. 3.2.</p>
      <p>Figure 5 shows a <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> diagram of the LS1 and LS2 profiles to better identify the
water masses and types. Some of the profiles extended to 900 m depth in the
central Gulf of Taranto trench (Fig. 1); thus four water masses can be
detected, one more with respect the three already discussed for the first
300 m. The first water mass is the surface water mass, indicated by water
type 1 in Fig. 5, corresponding to low salinity and almost constant
temperature. The second is the thermocline water type (number 2 in Fig. 5)
due to the mixing of the surface waters and MLIW as shown clearly by the
clustering of the <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> points around a line joining the two water types.
Furthermore, MLIW (point 3 in Fig. 5) is now clearly detectable with a
salinity and temperature increase with respect to the thermocline water mass
type. Finally a deep water mass type (4 in Fig. 5) is also evident, with
temperatures lower than 14 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and relatively low salinities, probably of
Adriatic origin.</p>
      <p>The interesting features of the LS1 and LS2 survey are the changes that
occur over a 1-week period, between the two cruises, in the first 100 m of
the water column (Fig. 6). LS2 was colder and fresher than LS1 by
approximately 0.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 0.1 PSU and the mixed layer depth had
decreased by about 5 m, leading to a 0.8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C difference in
temperature at 40 m (Fig. 6). The weather conditions deteriorated after
4 October  and large winds developed on 5 October  while precipitation started
3 October  and continued until 5 October  (Fig. 7). Such atmospheric forcing
changes can justify the temperature and salinity decrease at the surface, as
discussed below.</p>
      <p>From the difference in salinity between LS1 and CS1, we can approximately
compute the value of the precipitation required for such a change at the
surface. Knowing that the surface water flux due to precipitation, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>,
amounts to a change in salt water flux that is
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">V</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>o</mml:mi></mml:msub><mml:mi>P</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Assuming <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the vertical diffusivity, equal to
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<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>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn>20</mml:mn></mml:mrow></mml:math></inline-formula> m, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn>37.7</mml:mn></mml:mrow></mml:math></inline-formula> PSU,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>0.1</mml:mn></mml:mrow></mml:math></inline-formula>, we obtain <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mn>1.3 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> ms<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>, which is close to
the time average value of precipitation, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mn>1.4 10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> ms<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>, shown
in Fig. 7 for this period.</p>
      <p>The thermocline extension is better represented by the profile of
Brunt–Väisälä frequency represented in Fig. 8. Typical values are in the
range of 3–15 cycles h<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>, which is relatively large for the open ocean
(Talley et al., 2011), indicating that the water column is stably stratified.
The maximum Brunt–Väisälä frequency is reached at a 40 m, which is
approximately the middle depth of the region of maximum temperature gradients
in Fig. 4 and a depth located within the thermocline water mass layer shown
in Fig. 5. Taking 3 cycles h<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> as the low value to mark the transition
to intermediate waters, the thermocline then extends between 30 and 100 m.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Left panel: mean Brunt–Väisälä frequency (cycles h<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for LS1 (grey) and LS2 (black) surveys. Right Panel: LS2 minus
LS1 Brunt–Väisälä profile.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f08.png"/>

        </fig>

      <p>Lastly we describe the thermal and haline structure of the Mar Grande.
Figure 9 shows the temperature, salinity and density structure of the water
column, average from all stations. The salinity values in the first 5 m of
the water column are 0.4 PSU lower than in CS1 and LS1/LS2 indicating the
source of the low-salinity waters from the Mar Piccolo, located northeast of
the Mar Grande (Fig. 1). Between 6 and 9 m salinity values are similar to
the values in LS1/LS2, marking the entrance of the shelf and open ocean
waters from the Gulf of Taranto. As expected, the density is uniform since
the harbor is a partially confined, shallow water area where turbulent mixing
renders the whole water column uniform.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Mar Grande horizontal average temperature (left), salinity
(center) and density (right) profiles for 5 October 2014. The grey shaded
areas represent standard deviations from the mean.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Objective mapping of the temperature and salinity fields</title>
      <p>In this section we describe the horizontal distribution of temperature and
salinity at two different depths, one in the center of the mixed layer
(10 m) and the other in the middle of the thermocline (60 m). The mapping
was carried out by an objective analysis (OA) technique (Bretherton, 1976;
Carter and Robinson, 1987) described briefly in the Appendix. For the
mapping, CS1 and LS2 networks were combined in order to give an overall
picture of the temperature and salinity structures from the shelf to the open
ocean. CS1 was merged only with LS2 since it was taken at the beginning of
the LS2 survey and the combination was still synoptic.</p>
      <p>Figure 10 shows the upper mixed layer temperature and salinity mapping for
LS1 and LS2 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CS1. During the LS1 cruise, from 1 to 3 October 2014, the
temperature and salinity mixed layer structure was dominated by a frontal
structure (F1), separating colder and saltier waters near the shelf
escarpment from higher-temperature, fresher waters offshore, in the open
ocean areas of the Gulf of Taranto. Three cold core eddies (C1, C2 and C3 in
Fig. 10) are present north of the frontal structure. After 1 week, during
the CS1 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LS2 cruises from 8 to 10 October 2014, the temperature front
disappeared and smaller eddies formed. The northernmost cyclonic eddy (C4)
has a diameter less than 10 km and was produced in the mapping by two
stations in the CS1 network. This eddy was mixed layer intensified and it had
a diameter of about one-fifth of the one associated with eastern Levantine
mesoscale eddies (Hecht et al., 1986).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Temperature and salinity objective mapping at 10 m. Left
top and bottom panel: LS1 temperature and salinity fields. Right top and
bottom panel: LS2 temperature and salinity fields. Symbols indicate four
cold core eddies (C1, C2, C3, C4), the temperature and salinity front (F1)
and the upwelling area (UP).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f10.png"/>

        </fig>

      <p>In the seasonal thermocline, the temperature and salinity structure was
dominated by a large-scale anticyclonic gyre in the center of the Gulf of
Taranto (Fig. 11). This gyre was already evident in the October 2014
reanalysis flow field of Fig. 2. This is, however, the first direct evidence
of the anticyclonic structure of the Gulf of Taranto circulation for October.
The anticyclone was defined by the observations as the area limited by the
largest open ocean temperature and salinity gradients. It appeared that the
anticyclone strengthened between LS1 and LS2, forming meanders and
intensified gradient segments. In the periphery of the anticyclonic rim
current, upwelling is evident because the water is colder and saltier than
inside the anticyclone (Fig. 11). At 60 m depth only the C3 cyclonic eddy is
evident. Between LS1 and CS1 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LS2 cruises the upwelled cold and salty
waters on the northeastern side of the Gulf of Taranto anticyclone had
changed considerably, below and around the small-scale cyclonic mixed layer
eddy (Fig. 10, C4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Seasonal thermocline (60 m) temperature (top) and salinity
(bottom) mapping for LS1 (left panel) and LS2 (right panel).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f11.png"/>

        </fig>

      <p>In order to better represent the upwelling phenomena occurring at the
periphery of the gyre in the Gulf of Taranto, Fig. 12 shows a section of the
temperature and salinity fields. The section shows that between LS1 and LS2
the anticyclone deepened at the center and stronger upwelling occurred at its
borders. The mixed layer partly restratified in temperature, which is
consistent with submesoscale dynamics in the mixed layer (Thomas et al.,
2007).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Temperature (top) and salinity (intermediate) transects for
LS1 (left) and LS2 (right). The LS1 and LS2 transect stations are
illustrated in the two bottom panels.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f12.png"/>

        </fig>

      <p>Finally the temperature and salinity mapping in the Mar Grande is shown in
Fig. 13. Both surface temperature and salinity were characterized by a
frontal region in the middle of the area, produced by the inflowing fresher
and colder waters from the Mar Piccolo (Fig. 1). Near the bottom and at
mid-depth the waters were of offshore origin and upwelling was detected in
the northeastern part of the area probably as part of the vertical estuarine
circulation structure, as described in modeling studies (Gaeta et al., 2016).
The MREA strategy in the Mar Grande finally elucidated the estuarine nature
of the circulation in the Mar Grande at unprecedented resolution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><caption><p>Mar Grande near-surface (2 m) and near-bottom (10 m)
mapping of temperature and salinity fields for 5 October 2014.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f13.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Circulation in the Gulf of Taranto in October 2014</title>
      <p>A dynamic height at 10 m with respect to a reference level of 100 m was
computed from the density profiles (Fig. 14). This shallow reference level
was chosen in order to capture part of the connections between the open ocean
and the shelf.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><caption><p>Dynamic height at 10 m with respect to 100 m reference
level. Left panel: LS1. Right panel: LS2 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CS1.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f14.png"/>

      </fig>

      <p>The dynamic height shows the large-scale anticyclonic gyre of the Gulf of
Taranto in a similar position to that found in the October 2014 reanalysis
picture in Fig. 2. The periphery of the anticyclone was characterized by the
cyclonic eddy corresponding to C3 of Fig. 10 in LS1 and by an eddy-like
upwelling area in LS2, located in the area of the cyclonic eddy C4 in
Fig. 10. Between LS1 and LS2, the anticyclone changed noticeably in shape and
intensity, strengthening from LS1 to LS2. These changes are likely due to
dynamical instabilities of the anticyclone rim current that modulate the
upwelling at the periphery.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><caption><p>Geostrophic current velocities at 10 m with respect to 100 m
for LS1 (left top panel) and LS2 (right top panel).</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f15.png"/>

      </fig>

      <p>Figure 15 shows the geostrophic velocities computed from the dynamic height.
The LS1 surface currents, turning clockwise around the anticyclonic gyre, are
characterized by jets, i.e., intensified rim current segments. In LS1 one of
these jets developed between the anticyclone and the eastern side cyclonic
eddy, corresponding to C3 in Fig. 10. At LS2 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CS1, the gyre underwent
considerable changes in the jets strength because the rim current was
meandering, which is a manifestation of baroclinic–barotropic instability and
eddy growth. On the northeastern side of the anticyclonic gyre, the cyclonic
eddy C4 of Fig. 10 emerged as a circulation structure in Fig. 15. The rim current of the
gyre meandered around this cyclonic and a new jet developed, with velocities
of the order of 40 cm s<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>. This cyclonic eddy was much smaller than
the LS1 C3 eddy, about 5–10 km in diameter, probably generated by a
frontogenesis/cyclogenesis event along the anticyclonic rim current. The
submesoscale field was mapped in the Mediterranean Sea (Bouffard et al.,
2012) for the Balearic northern current. Here for the first time we found the
growth of a small-scale submesoscale eddy at the border of a large,
subbasin-scale gyre as a result of the meandering of its rim current.
Notwithstanding the different generation mechanisms in different parts of the
basin, we believe this is an evidence of pervasive submesoscale dynamics in
the Mediterranean Sea.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Discussion and conclusions</title>
      <p>We carried out a multiscale sampling experiment in the Gulf of Taranto. Our
experiment provided the first synoptic evidence of the large-scale
circulation structure and associated mesoscale variability. We used a
classical sampling strategy, with a regularly spaced station network in three
different subareas of the Gulf. In the open ocean, the LS1 and LS2 sampling
was carried out at 15 km resolution over 3 days, while in the
northeastern shelf area the station spacing was about 5 km and the
24 stations were carried out in 1 day. Finally the Mar Grande harbor scale
was sampled at 1 km resolution and the sampling required 12 h.</p>
      <p>The water mass analysis for LS1, LS2 and CS1 showed that the vertical
thermohaline structure is dominated by four water mass types: the first one
belonging to the surface, down to 30 m, characterized by relatively fresh
and warm waters; the second one characterizing the thermocline; the third
recognizable as MLIW with subsurface temperature and salinity maxima; and the
fourth a deep water mass probably of Adriatic origin. The water column is
highly stratified (Brunt–Väisälä frequency of the order of
10 cycles h<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the seasonal thermocline is located between 30 and
100 m. Furthermore a precipitation event occurred between LS1 and LS2 which
lowered the surface salinity of 0.1 PSU, concomitantly changing the mixed
layer temperatures of 0.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C due to a large wind event (Fig. 7).</p>
      <p>The mapping of the temperature and salinity structures was carried out by
objective analysis, calibrated for the specific survey sampling scheme.
Starting with the mixed layer mapping, it emerged that large-scale frontal
structures changed between LS1 and CS1 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LS2 cruises due to the growth
and decay of small-scale, mixed layer intensified cyclonic eddies. The middle
thermocline circulation, temperature and salinity structure of the Gulf of
Taranto is dominated by an anticyclonic large-scale gyre. Its periphery is
dominated by upwelling as shown by the low temperature and high salinity
waters, especially on the northeastern side of the Gulf of Taranto. The gyre
rim current was hydrodynamically unstable, generating frontogenesis and rim
current segment intensifications. Two cyclonic eddy centers (C3 and C4) grew
and decayed between LS1 and LS2. One of them could be classified as
submesoscale, due to its small size, captured only by the finer sampling
scheme of the CS1 survey.</p>
      <p>The mapping of temperature and salinity fields in the Mar Grande suggests
several density compensating fronts and generally low stratification,
presumably connected to the estuarine vertical circulation.</p>
      <p>The instability of gyre rim currents and/or large mesoscale eddy field
borders has been studied in the past (Mc Williams et al., 1983; Pinardi et
al., 1987; Staneva et al., 2001) and more recently for submesoscale
generating fronts (Hamlington et al., 2014). The instabilities of rim
currents connected to temperature frontal structures generate eddies, which
are due to cyclogenetic processes such as mixed baroclinic–barotropic
instabilities. In our case the observations show that instabilities occur in
a week-long time frame and most importantly modulate the upwelling phenomena at
the open-ocean–shelf-area interface, a mechanism that could be very
important to support good environmental conditions in the near coastal
regions. Numerical modeling studies have now started to understand the
vorticity and energy dynamics of the flow field observed in this experiment.</p>
      <p><?xmltex \hack{\newpage}?>In conclusion, regular sampling networks can capture most of the significant
ocean variability if adequately calibrated for station resolution from the
open ocean to the shelf and coastal–harbor scale. More observations will be
required to map the seasonal variability of the anticyclonic gyre, the
structure of the upwelling areas and their influence on the coastal
ecosystem and the submesoscale flow field captured for the first time in
this experiment.</p>
      <p>This paper's MREA sampling methodology could be also used to collect data in
order to respond to environmental emergencies, such as oil spills or other
pollutant dispersal. If the location of the source of pollution is known,
the CS1 sampling strategy could be carried out in 1 day, and forecasting
models could have the initial condition adjusted to the measured fields through data assimilation, improving
the forecast skill. Thus this paper has also put the basis for a protocol of
in situ data collection that could support emergency management at sea.</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>The CTD data are available at the following link:
<uri>http://mrea.sincem.unibo.it/index.php/experiments/mrea14</uri>. The objective analysis codes can be made available at any time
upon request to nadia.pinardi@unibo.it.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <title>Objective analysis mapping</title>
      <p>Objective analysis is a least square estimation method, also known as
Gauss–Markov filter, that map non-regularly spaced observations into a regular
grid. It was applied for the first time in oceanography by Bretherton et
al. (1976) and Carter and Robinson (1987). The assumptions are that the
statistics of the interpolated field is stationary and homogeneous.</p>
      <p>The problem can be stated as follows: given <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observations
at <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>x</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>y</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula> locations
irregularly spaced with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>, we would like to
estimate the field <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in a regular <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> grid.
Assuming that <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the true field and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
the measurement error, the least square estimate is
          <disp-formula id="App1.Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mfenced close="}" open="{"><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>.</mml:mo></mml:mfenced></mml:mfenced></mml:mrow></mml:math></disp-formula>
        The correlation functions are defined as
          <disp-formula id="App1.Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mfenced><mml:mo>+</mml:mo><mml:mi>E</mml:mi><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        and
          <disp-formula id="App1.Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where brackets indicate the ensemble mean. <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is commonly written as
          <disp-formula id="App1.Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mfenced open="(" close=")"><mml:mi>r</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        with <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> being the square of the distance between
two points and <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> the decorrelation and decay lengths respectively. <inline-formula><mml:math display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> is
the measurement error variance,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mi>E</mml:mi><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which is taken in all our calculation to be 10 % of the
field variance, assuming to be dominated by the representativeness error.</p>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.T1"><caption><p>Objective analysis mapping parameters.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"> Survey</oasis:entry>  
         <oasis:entry colname="col2">Grid size</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">Radius of</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(degrees, km)</oasis:entry>  
         <oasis:entry colname="col3">(km)</oasis:entry>  
         <oasis:entry colname="col4">(km)</oasis:entry>  
         <oasis:entry colname="col5">influence</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">MG1</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn>512</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 m)</oasis:entry>  
         <oasis:entry colname="col3">2</oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5">1 km</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">LS1 &amp; LS2<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>CS1</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn>32</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 km)</oasis:entry>  
         <oasis:entry colname="col3">25</oasis:entry>  
         <oasis:entry colname="col4">15</oasis:entry>  
         <oasis:entry colname="col5">20 km</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p><?xmltex \hack{\newpage}?><inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal">̃</mml:mo></mml:mover></mml:math></inline-formula> is the field mean estimated from the observations using the
following
weighted average:
          <disp-formula id="App1.Ch1.E5" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        The correlation functions used for mapping depends on the observational
sampling; i.e., sparse observations will need to consider relatively larger
decorrelation scales with respect to denser networks which will require
smaller values of <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>. The <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> values used in this paper are listed in Appendix Table A1
and different ones were chosen for the three sampling schemes used, for LS1,
LS2, CS1 and MG1. A radius of influence is also used within which the <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>
observations are chosen for each estimated grid point which is also listed
in Table A1.</p>
      <p>The interpolated field percentage error variance is written as (Bretherton,
1976)
          <disp-formula id="App1.Ch1.E6" content-type="numbered"><mml:math display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.}{9.}\selectfont$\displaystyle}?><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="bold-italic">x</mml:mi></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><?xmltex \hack{$\egroup}?><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>The square root of Eq. (A6) is given in Fig. A1 for the LS1, LS2 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CS1 and MG1
surveys. The growth of errors from the station points outward depends on the
correlation parameters <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> in Eq. (A4). All our mapped fields were masked in order
not to display areas with errors larger than 50 % for LS1, LS2 <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CS1 and
larger than 20 % for MG1.</p>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F1"><caption><p>Objective analysis percentage error field for the three surveys
using the parameters of Table A1 (units are %).</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/16/2623/2016/nhess-16-2623-2016-f16.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</app>
  </app-group><ack><title>Acknowledgements</title><p>This paper was partially funded by the PON Project TESSA “Technologies for
Situational Sea Awareness”, a Italian Ministry of Research RITMARE
project. We would like to thank  Vincenzo De Palmis of IAMC-CNR for his
logistic support.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: R. Archetti<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>
Bonavita, M., Torrisi, L., and Marcucci, F.: The ensemble Kalman filter in an
operational regional NWP system: Preliminary results with real observations,
Q. J. R. Meteorol. Soc., 134, 1733–1744, 2008.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Bouffard, J., Renault, L., Ruiz, S., Pascual, A., Dufau, C., and Tintoré,
J.: Sub-surface small-scale eddy dynamics from multi-sensor
observations and modeling, Prog. Oceanogr., 106, 62–79, 2012.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Bretherton, F.,P., Davis, R. E., and Fandry, C. B.: A technique for
objectiveanalysis and design of oceanographic experiments, Deep-Sea
Res., 23, 559–582, 1976.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>
Carter, E. F. and Robinson, A. R.: Analysis models for the estimation of
oceanic fields, J. Atmos. Ocean. Technol., 4, 49–74, 1987.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Cessi, P., Pinardi, N., and Lyubartsev, V.: Energetics of Semienclosed
Basins with Two-Layer Flows at the Strait, J. Phys. Oceanogr., 44, 967–979,
<ext-link xlink:href="http://dx.doi.org/10.1175/JPO-D-13-0129.1" ext-link-type="DOI">10.1175/JPO-D-13-0129.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
Federico, I., Pinardi, N., Oddo, P., Lecci, R., and Mossa, M.: Coastal
ocean forecasting with an unstructured-grid model in the Southern Adriatic
Northern Ionian Sea, this Special Issue, 2016.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Frolov, S., Garau, B., and Bellingham, J.: Can we do better than the
grid survey: Optimal synoptic surveys in presence of variable uncertainty
and decorrelation scales, J. Geophys. Res.-Oceans, 119, 5071–5090,
<ext-link xlink:href="http://dx.doi.org/10.1002/2013JC009521" ext-link-type="DOI">10.1002/2013JC009521</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>
Gaeta, M, G., Samaras, A., Federico, I., and Archetti, R.: A coupled wave-3D
hydrodynamics model of the Taranto Sea (Italy): a multiple nesting approach,
this special issue, 2016.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Guarnieri, A., Pinardi, N., Oddo, P., Bortoluzzi, G., and Ravaioli, M.:
Impact of tides in a baroclinic circulation model of the Adriatic Sea,
J. Geophys. Res.-Oceans,  118, 166–183,
<ext-link xlink:href="http://dx.doi.org/10.1029/2012jc007921" ext-link-type="DOI">10.1029/2012jc007921</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Hamlington, P. E., Van Roekel, L. P., Fox-Kemper, B., Julien, K., and Chini,
G. P.: Langmuir-Submesoscale Interactions: Descriptive Analysis of
Multiscale Frontal Spin-Down Simulations, J. Phys. Oceanogr.,
44, 2249–2272, 2014.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>
Hecht, A., Pinardi, N., and Robinson, A. R.: Currents, Water Masses, Eddies
and Jets in the Mediterranean Levantine Basin, J. Phys.
Oceanogr., 18, 1320–1353, 1998.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>
Lermusiaux, P. F. J.: Adaptive modeling, adaptive data assimilation
and adaptive sampling, Physica D, 230, 172–196, 2007.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>
McWilliams, J. C., Brown, E. D., Bryden, H. L., Ebbesmeyer, C. C., Elliot, B. A.,
Heinmiller, R. H., Hua, B. L., Leaman, K. D., Lindstrom, E. J., Luyten, J. R.,
McDowell, S. E., Owens, W. B., Perkins, H., Price, J. F., Regier, L., Riser, S. C.,
Rossby, H. T., Sanford, T. B., Shen, C. Y., Taft, B. A., and Van Leer,  J. C.: The
local dynamics of eddies in the western North Atlantic. In: Eddies in Marine
Science, edited by: Robinson, A. R.,  Springer-Verlag, Berlin Heidelberg, 92–113, 1983.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Oddo, P., Bonaduce, A., Pinardi, N., and Guarnieri, A.: Sensitivity of
the Mediterranean sea level to atmospheric pressure and free surface
elevation numerical formulation in NEMO, Geosci. Model Dev., 7, 3001–3015,
<ext-link xlink:href="http://dx.doi.org/10.5194/gmd-7-3001-2014" ext-link-type="DOI">10.5194/gmd-7-3001-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>
Pinardi, N. and Robinson, A. R.: Dynamics of deep
thermocline jets in the Polymode Region, J. Phys. Oceanogr.,
17, 1163–1188,  1987.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Pinardi, N., Zavatarelli, M., Adani, M., Coppini, G., Fratianni, C., Oddo, P.,
Simoncelli, S., Tonani, M., Lyubartsev, V., and Dobricic, S.: The Mediterranean
Sea large scale low frequency ocean variability from 1987 to 2007: a
retrospective analysis, Prog. Oceanogr., 132, 318–332, <ext-link xlink:href="http://dx.doi.org/10.1016/j.pocean.2013.11.003" ext-link-type="DOI">10.1016/j.pocean.2013.11.003</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>
Robinson, A. R. and Shellschopp, J.: Rapid Assessment of the Coastal
Ocean Environment, in: Pinardi, N. and Woods, J., Ocean Forecasting,
Springer-verlag, 2002.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>
Staneva, J. V., Dietrich, D. E., Stanev, E. V., and Bowman, M. J.: Rim current
and coastal eddy mechanisms in an eddy-resolving Black Sea general
circulation model, J. Mar. Syst., 31, 137–157, 2001.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
Talley, L. D., Pickard, G. L., Emery, W. J., and Swift, J. H.: Descriptive
Physical Oceanography: an introduction, Academic Press, Elsevier, 2011.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Theocharis, A., Georgopoulos, D., Lascaratos, A., and Nittis, K.: Water
masses and circulation in the central region of the Eastern Mediterranean:
Eastern Ionian, South Aegean and Northwest Levantine, 1986–1987, Deep-Sea
Res. Pt. II, 40, 1121–1142, <ext-link xlink:href="http://dx.doi.org/10.1016/0967-0645(93)90064-T" ext-link-type="DOI">10.1016/0967-0645(93)90064-T</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Thomas, L. N., Tandon, A., and Mahadevan, A.: Submesoscale Processes
and Dynamics, in: Ocean Modeling in an Eddying Regime, edited by:   Hecht, M. W. and
Hasumi, H., American Geophysical Union, Washington, DC, <ext-link xlink:href="http://dx.doi.org/10.1029/177GM04" ext-link-type="DOI">10.1029/177GM04</ext-link>, 2008.</mixed-citation></ref>

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

    </app></app-group></back>
    <!--<article-title-html>Marine Rapid Environmental Assessment in the  Gulf of Taranto: a multiscale approach</article-title-html>
<abstract-html><p class="p">A multiscale sampling experiment was carried out in the Gulf of
Taranto (eastern Mediterranean) providing the first synoptic evidence of the
large-scale circulation structure and associated mesoscale variability. The
mapping of the mesoscale and large-scale geostrophic circulation showed the
presence of an anticyclonic large-scale gyre occupying the central open ocean
area of the Gulf of Taranto. On the periphery of the gyre upwelling is
evident where surface waters are colder and saltier than at the center of the
gyre. Over a 1-week period, the rim current of the gyre undergoes large
changes which are interpreted as baroclinic–barotropic instabilities,
generating small-scale cyclonic eddies in the periphery of the anticyclone.
The eddies are generally small, one of which can be classified as a
submesoscale eddy due to its size. This eddy field modulates the upwelling
regime in the gyre periphery.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Bonavita, M., Torrisi, L., and Marcucci, F.: The ensemble Kalman filter in an
operational regional NWP system: Preliminary results with real observations,
Q. J. R. Meteorol. Soc., 134, 1733–1744, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Bouffard, J., Renault, L., Ruiz, S., Pascual, A., Dufau, C., and Tintoré,
J.: Sub-surface small-scale eddy dynamics from multi-sensor
observations and modeling, Prog. Oceanogr., 106, 62–79, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Bretherton, F.,P., Davis, R. E., and Fandry, C. B.: A technique for
objectiveanalysis and design of oceanographic experiments, Deep-Sea
Res., 23, 559–582, 1976.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Carter, E. F. and Robinson, A. R.: Analysis models for the estimation of
oceanic fields, J. Atmos. Ocean. Technol., 4, 49–74, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Cessi, P., Pinardi, N., and Lyubartsev, V.: Energetics of Semienclosed
Basins with Two-Layer Flows at the Strait, J. Phys. Oceanogr., 44, 967–979,
<a href="http://dx.doi.org/10.1175/JPO-D-13-0129.1" target="_blank">doi:10.1175/JPO-D-13-0129.1</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Federico, I., Pinardi, N., Oddo, P., Lecci, R., and Mossa, M.: Coastal
ocean forecasting with an unstructured-grid model in the Southern Adriatic
Northern Ionian Sea, this Special Issue, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Frolov, S., Garau, B., and Bellingham, J.: Can we do better than the
grid survey: Optimal synoptic surveys in presence of variable uncertainty
and decorrelation scales, J. Geophys. Res.-Oceans, 119, 5071–5090,
<a href="http://dx.doi.org/10.1002/2013JC009521" target="_blank">doi:10.1002/2013JC009521</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Gaeta, M, G., Samaras, A., Federico, I., and Archetti, R.: A coupled wave-3D
hydrodynamics model of the Taranto Sea (Italy): a multiple nesting approach,
this special issue, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Guarnieri, A., Pinardi, N., Oddo, P., Bortoluzzi, G., and Ravaioli, M.:
Impact of tides in a baroclinic circulation model of the Adriatic Sea,
J. Geophys. Res.-Oceans,  118, 166–183,
<a href="http://dx.doi.org/10.1029/2012jc007921" target="_blank">doi:10.1029/2012jc007921</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Hamlington, P. E., Van Roekel, L. P., Fox-Kemper, B., Julien, K., and Chini,
G. P.: Langmuir-Submesoscale Interactions: Descriptive Analysis of
Multiscale Frontal Spin-Down Simulations, J. Phys. Oceanogr.,
44, 2249–2272, 2014.

</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Hecht, A., Pinardi, N., and Robinson, A. R.: Currents, Water Masses, Eddies
and Jets in the Mediterranean Levantine Basin, J. Phys.
Oceanogr., 18, 1320–1353, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Lermusiaux, P. F. J.: Adaptive modeling, adaptive data assimilation
and adaptive sampling, Physica D, 230, 172–196, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
McWilliams, J. C., Brown, E. D., Bryden, H. L., Ebbesmeyer, C. C., Elliot, B. A.,
Heinmiller, R. H., Hua, B. L., Leaman, K. D., Lindstrom, E. J., Luyten, J. R.,
McDowell, S. E., Owens, W. B., Perkins, H., Price, J. F., Regier, L., Riser, S. C.,
Rossby, H. T., Sanford, T. B., Shen, C. Y., Taft, B. A., and Van Leer,  J. C.: The
local dynamics of eddies in the western North Atlantic. In: Eddies in Marine
Science, edited by: Robinson, A. R.,  Springer-Verlag, Berlin Heidelberg, 92–113, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Oddo, P., Bonaduce, A., Pinardi, N., and Guarnieri, A.: Sensitivity of
the Mediterranean sea level to atmospheric pressure and free surface
elevation numerical formulation in NEMO, Geosci. Model Dev., 7, 3001–3015,
<a href="http://dx.doi.org/10.5194/gmd-7-3001-2014" target="_blank">doi:10.5194/gmd-7-3001-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Pinardi, N. and Robinson, A. R.: Dynamics of deep
thermocline jets in the Polymode Region, J. Phys. Oceanogr.,
17, 1163–1188,  1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Pinardi, N., Zavatarelli, M., Adani, M., Coppini, G., Fratianni, C., Oddo, P.,
Simoncelli, S., Tonani, M., Lyubartsev, V., and Dobricic, S.: The Mediterranean
Sea large scale low frequency ocean variability from 1987 to 2007: a
retrospective analysis, Prog. Oceanogr., 132, 318–332, <a href="http://dx.doi.org/10.1016/j.pocean.2013.11.003" target="_blank">doi:10.1016/j.pocean.2013.11.003</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Robinson, A. R. and Shellschopp, J.: Rapid Assessment of the Coastal
Ocean Environment, in: Pinardi, N. and Woods, J., Ocean Forecasting,
Springer-verlag, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Staneva, J. V., Dietrich, D. E., Stanev, E. V., and Bowman, M. J.: Rim current
and coastal eddy mechanisms in an eddy-resolving Black Sea general
circulation model, J. Mar. Syst., 31, 137–157, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Talley, L. D., Pickard, G. L., Emery, W. J., and Swift, J. H.: Descriptive
Physical Oceanography: an introduction, Academic Press, Elsevier, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Theocharis, A., Georgopoulos, D., Lascaratos, A., and Nittis, K.: Water
masses and circulation in the central region of the Eastern Mediterranean:
Eastern Ionian, South Aegean and Northwest Levantine, 1986–1987, Deep-Sea
Res. Pt. II, 40, 1121–1142, <a href="http://dx.doi.org/10.1016/0967-0645(93)90064-T" target="_blank">doi:10.1016/0967-0645(93)90064-T</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Thomas, L. N., Tandon, A., and Mahadevan, A.: Submesoscale Processes
and Dynamics, in: Ocean Modeling in an Eddying Regime, edited by:   Hecht, M. W. and
Hasumi, H., American Geophysical Union, Washington, DC, <a href="http://dx.doi.org/10.1029/177GM04" target="_blank">doi:10.1029/177GM04</a>, 2008.
</mixed-citation></ref-html>--></article>
