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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</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/os-12-715-2016</article-id><title-group><article-title>Multi-sensor in situ observations to resolve the sub-mesoscale features in
the stratified Gulf of Finland, Baltic Sea</article-title>
      </title-group><?xmltex \runningtitle{Multi-sensor in situ observations to resolve the sub-mesoscale features}?><?xmltex \runningauthor{U.~Lips et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lips</surname><given-names>Urmas</given-names></name>
          <email>urmas.lips@msi.ttu.ee</email>
        <ext-link>https://orcid.org/0000-0002-9823-6294</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kikas</surname><given-names>Villu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liblik</surname><given-names>Taavi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lips</surname><given-names>Inga</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Marine Systems Institute at Tallinn University of Technology, Akadeemia Road
15a, 12618 Tallinn, Estonia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Urmas Lips (urmas.lips@msi.ttu.ee)</corresp></author-notes><pub-date><day>27</day><month>May</month><year>2016</year></pub-date>
      
      <volume>12</volume>
      <issue>3</issue>
      <fpage>715</fpage><lpage>732</lpage>
      <history>
        <date date-type="received"><day>26</day><month>January</month><year>2016</year></date>
           <date date-type="rev-request"><day>4</day><month>February</month><year>2016</year></date>
           <date date-type="rev-recd"><day>8</day><month>April</month><year>2016</year></date>
           <date date-type="accepted"><day>14</day><month>May</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://os.copernicus.org/articles/12/715/2016/os-12-715-2016.html">This article is available from https://os.copernicus.org/articles/12/715/2016/os-12-715-2016.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/12/715/2016/os-12-715-2016.pdf</self-uri>


      <abstract>
    <p>High-resolution numerical modeling, remote sensing, and in
situ data have revealed significant role of sub-mesoscale features in shaping
the distribution pattern of tracers in the ocean's upper layer. However, in
situ measurements are difficult to conduct with the required resolution and
coverage in time and space to resolve the sub-mesoscale, especially in such
relatively shallow basins as the Gulf of Finland, where the typical baroclinic
Rossby radius is 2–5 km. To map the multi-scale spatiotemporal variability
in the gulf, we initiated continuous measurements with autonomous devices,
including a moored profiler and Ferrybox system, which were complemented by
dedicated research-vessel-based surveys. The analysis of collected
high-resolution data in the summers of 2009–2012 revealed pronounced variability at
the sub-mesoscale in the presence of mesoscale upwelling/downwelling, fronts,
and eddies. The horizontal wavenumber spectra of temperature variance in the
surface layer had slopes close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 between the lateral scales from 10 to
0.5 km. Similar tendency towards the <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 slopes of horizontal wavenumber
spectra of temperature variance was found in the seasonal thermocline between
the lateral scales from 10 to 1 km. It suggests that the ageostrophic
sub-mesoscale processes could contribute considerably to the energy cascade
in such a stratified sea basin. We showed that the intrusions of water with
different salinity, which indicate the occurrence of a layered flow structure,
could appear in the process of upwelling/downwelling development and
relaxation in response to variable wind forcing. We suggest that the
sub-mesoscale processes play a major role in feeding surface blooms in the
conditions of coupled coastal upwelling and downwelling events in the Gulf of
Finland.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Essential contribution of mesoscale processes to the vertical exchanges of
nutrients in the open ocean has been suggested and proved by a number of
studies in the last 2 decades (e.g., McGillicuddy et al., 1998; Martin and
Pondaven, 2003). These studies were motivated by the discrepancies between
the direct measurements of vertical turbulent exchanges and indirect
estimates of nutrient fluxes to support net primary production (Jenkins,
1988). Two conceptual views of additional nutrient supplies related to
mesoscale eddies exist: (1) vertical exchanges due to the time evolution of
eddies and (2) vertical pumping at small scales, i.e., within the
sub-mesoscale structures (Klein and Lapeyre, 2009). The latter hypothesis is
supported by recent observations and modeling with increased spatial
resolution suggesting that the sub-mesoscale processes significantly
contribute to the vertical exchange of water mass properties between the
upper and deep ocean (Bouffard et al., 2012). Sub-mesoscale processes are
characterized by order-one (O(1)) Rossby and Richardson numbers (Thomas,
2008), large vertical velocity and vorticity fluctuations and large vertical
buoyancy flux, resulting in considerable intermittency of oceanographic
properties in the upper ocean (Capet et al., 2008).</p>
      <p>Main physical forcing components for the non-tidal Baltic Sea system are the
atmospheric forcing, exchange of heat energy and fresh water through the sea
surface, and input of freshwater from rivers and the saltier North Sea water
through the Danish Straits (Omstedt et al., 2004). It was identified already
in the 1980s that the Baltic Sea has rich mesoscale variability with spatial
scales O(10) km through the whole water column (Aitsam et al., 1984) and
evidence is increasing that remarkable changes occur in the system due to
meso- and sub-mesoscale processes (e.g., Nausch et al., 2009; Lips et al.,
2009). Recent results based on analysis of high-resolution in situ (Lips et
al., 2011), numerical modeling (Laanemets et al., 2011) and remote sensing
(Uiboupin et al., 2012) data from the Gulf of Finland showed that the
sub-mesoscale features significantly shape the distribution pattern of
tracers in this stratified basin. Among such features, the upwelling
filaments and intra-thermocline intrusions with lateral scales less than the
internal Rossby radius of deformation, which is about 2–5 km in the Gulf of
Finland (Alenius et al., 2003), are named.</p>
      <p>The layered structure of the major basins of the Baltic Sea, with the
seasonal thermocline and the halocline situated at different depths – about
10–30 and 60–80 m, respectively, is a challenge to be accurately described
by numerical models (Tuomi et al., 2012). In many cases, a proper validation
of model results is difficult due to the absence of observational data with
the required resolution and coverage in time and space. In order to fill this
gap a number of autonomous devices, including moored profilers and
Ferryboxes, and towed instruments are applied in the Gulf of Finland.
According to high-resolution profiling at a fixed position in the Gulf of
Finland, quasi-stationary stratification patterns of the thermocline occurred
there at timescales of 4–15 days (Liblik and Lips, 2012) and the vertical
dynamics of phytoplankton were largely defined by these patterns (Lips et
al., 2011). Furthermore, temperature–salinity variability at the sub-mesoscale was significant
during the transition periods between the quasi-stationary patterns (Liblik
and Lips, 2012).</p>
      <p>Coastal upwelling events are prominent mesoscale features in the Gulf of
Finland (Uiboupin and Laanemets, 2009) leading to considerable vertical
transport of nutrients into the euphotic layer (Laanemets et al., 2011; Lips
et al., 2009) and influencing the phytoplankton growth and species
composition (e.g., Lips and Lips, 2010). Analysis of Ferrybox data collected
along the ferry line Tallinn–Helsinki in the central part of the Gulf of
Finland revealed the occurrence of the two types of upwelling events (Kikas and
Lips, 2015). In addition to the classical coastal upwelling with a strong
upwelling front, the second type of upwelling event existed where a gradual
decrease of surface layer temperature from the open sea towards the coast was
observed. The latter type was characterized by a relatively high spatial
variability at scales of a few to 10 km, which as suggested by Kikas
and Lips (2015) could be a sign of sub-mesoscale dynamics in the case of wind
forcing not strong enough to produce an Ekman transport in the entire surface
layer. This suggestion of higher sub-mesoscale activity associated with some
types or phases of coastal upwelling has to be analyzed further. Such
analysis based on combined Ferrybox, buoy profiler, and ScanFish data was one
of the tasks of the present study.</p>
      <p>According to the theory of quasi-geostrophic turbulence, the shape of the
energy spectrum should follow the <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 slope in the logarithmic scale at the
spatial scales below the mesoscale (Charney, 1971). It has been shown that if
the spatial resolution of numerical models was increased the spectral slope
converted to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 rather than <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 (Capet et al., 2008) suggesting that
sub-mesoscale processes play an important role in the energy cascade from
larger to smaller scales. Still, it is a major challenge to map sub-mesoscale
processes and phenomena by in situ observations. Due to the temporal and
spatial scales to be resolved, the distinction between the temporal and spatial
variability is difficult based on the high-resolution 3-D surveys by a single
technique, platform or device. We have applied in situ observations, using
both autonomous devices and a research vessel, for mapping temporal variability
in temperature, salinity and chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> distribution patterns in the
Gulf of Finland. Close to the Ferrybox line Tallinn–Helsinki, an autonomous
profiler was deployed in the summers of 2009–2012. This data set allows us to
estimate the temporal changes in the horizontal distribution patterns in the
surface layer and vertical stratification (vertical temperature and salinity
distribution) at a station close to the Ferrybox line simultaneously. In
addition, ScanFish surveys were conducted in the area to reveal the spatial
variability in the sub-surface layer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Map of the Baltic Sea (left panel) and the study area (right
panel). Black lines indicate the Ferrybox route between Tallinn and
Helsinki, blue line the ScanFish track on 22 July 2010, 2 August 2010, 4 July 2012, and 20 July 2012, green line the ScanFish track on
27 July 2010,
and red line the ScanFish track on 31 July 2012. Yellow dots indicate the
location of the buoy station AP5 and the Kalbadagrund meteorological
station.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f01.png"/>

      </fig>

      <p>The main aim of the present paper is to describe spatial and temporal
variability at the mesoscale and sub-mesoscale, indicate the main
sub-mesoscale features and their effects on the vertical stratification as
well as chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> dynamics under different forcing conditions by
combining high-resolution observational data (Ferrybox, buoy profiler, and
ScanFish). We would like to demonstrate that multi-sensor in situ
observations, initiated to meet the data needs in operational oceanography,
are able to resolve the sub-mesoscale features and are a good basis for
descriptive and statistical analysis of mesoscale and sub-mesoscale
variability/features in the Gulf of Finland. The hypothesis that under
certain mesoscale conditions, such as development and relaxation of coastal
upwelling events in a stratified estuary, the sub-mesoscale processes are
more energetic than predicted by the theory of quasi-geostrophic turbulence
in the ocean interior is tested.</p>
</sec>
<sec id="Ch1.S2">
  <title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Measurement systems and data</title>
      <p>The data set analyzed in the present study was gathered using an observational
network applied by the Marine Systems Institute at Tallinn University of
Technology in the Gulf of Finland, Baltic Sea. It includes autonomous
measurements and sampling on board a ferry traveling between Tallinn and
Helsinki and autonomous measurements at a profiling buoy station close to the
ferry route. Additionally, research-vessel-based measurements and sampling,
as well as surveys using a towed undulating vehicle (ScanFish), are employed
(Fig. 1).</p>
      <p>The Ferrybox system records temperature (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), salinity (<inline-formula><mml:math display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>), and
chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>) fluorescence in the surface layer (water intake is
approximately at 4 m depth) twice a day along the ferry route
Tallinn–Helsinki (the system is described in detail by Kikas and Lips, 2015).
The time resolution of measurements of 20 s corresponds to an average
spatial resolution of 160 m. For temperature measurements, a PT100
temperature sensor with a measuring range from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>40 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with
an
accuracy of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 % is used. The sensor is installed
close to the water intake to diminish the effect of warming of water while
flowing through the tubes onboard. For salinity measurements a FSI Excell
thermosalinograph (temperature and conductivity meter) is used, and the data
quality is checked by water sampling and analysis of samples by a
high-precision salinometer Portasal 8410A (Guildline Instruments) 2–4 times
a year. For Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorescence and turbidity (turbidity data not presented
here) measurements, a SCUFA (Self-Contained Underwater Fluorescence Apparatus) submersible fluorimeter (Turner Designs) with a
flow-through cap is used. An acid-washing cleaning system is applied to prevent
biofouling and 11–17 water samples along the ferry route are collected once
a week for laboratory analysis of Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content to calibrate the
fluorimeter data.</p>
      <p>The autonomous profiler deployed in the summers of 2009–2012 at station AP5
(Fig. 1) recorded vertical profiles of temperature, salinity, and Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
fluorescence in the water layer from 2 to 50 m with a time resolution of
3 h and a vertical resolution of 10 cm. The sensor set at the buoy profiler
consisted of an OS316<italic>plus</italic> CTD probe (Idronaut S.r.l.) equipped with
a Seapoint Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorimeter. To avoid biofouling of sensors, the parking
depth well below the euphotic layer depth and electrochemical antifouling
system were applied. Ship-borne measurements and sampling close to the buoy
profiler were arranged bi-weekly to check the quality of data (compare the
vertical profiles from the buoy with those from the research vessel) and to
calibrate the Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorimeter by laboratory analyses of Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content
from the water samples.</p>
      <p>The data set used also includes ScanFish surveys of temperature, salinity, and
Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorescence conducted to map the horizontal distribution of <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>, and Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> in the water column from 2 to 45 m (see location of
sections in Fig. 1). The average distance between the consecutive ScanFish
cycles, including down- and upcast while the vessel was moving with a speed
of 7 knots, was 600 m. Data were recorded continuously (both down- and
upcast are used) and the processed data were stored with a vertical
resolution of 0.5 m. The ScanFish sensor set consisted of a Neil Brown Mark III
CTD probe and TriOS microFlu-chl-A fluorimeter. Ship-borne CTD measurements
and water sampling was conducted before and after the ScanFish surveys to
control the quality of ScanFish data and calibrate the fluorimeter.</p>
      <p>To calibrate the used (different) Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> sensors, the Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration
in the water samples was determined in the laboratory. Whatman GF/F glass
fiber filters and extraction at room temperature in the dark with 96 %
ethanol for 24 h were used. The Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content from the extract was
measured spectrophotometrically (HELCOM, 1988) by Thermo Helios <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>.</p>
      <p>The data set from July-August 2009-2012 analyzed in the present study consists
of 461 ferry crossings (Tallinn-Helsinki), 968 CTD and Chl a profiles collected at
station AP5, and 6 ScanFish surveys.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Calculations</title>
      <p>The results in the following sections are presented as graphs of
pre-processed observational data and horizontal wavenumber spectra of
temperature variance calculated from the Ferrybox and ScanFish measurements
as well as the estimated characteristics of vertical stratification at
station AP5. The use of spatial spectra of temperature (instead of density)
was based on the assumptions that in summer in the surface and thermocline
layer of the Gulf of Finland (GoF), the water density is mainly controlled by temperature and
it is measured by one sensor while density has to be estimated from the
readings of two separate sensors. The following approaches are used in the
calculations.</p>
      <p>Horizontal wavenumber spectra of temperature variance were calculated for
each ferry crossing between Tallinn and Helsinki assuming that the distance
between the data points along the ferry route was constantly 160 m. The
areas close to the harbors, where the ferry speed varied, were excluded,
and only the data along the ferry route between the latitudes 59.48 and
60.12<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N were used. The mean
spectra for a certain period with quasi-stationary variability were obtained
by averaging of single spectra over this period. The spectral slopes between
the spatial scales of 10 and 0.5 km were estimated. The overall variability
was characterized by daily standard deviations of temperature along the ferry
route.</p>
      <p>Horizontal wavenumber spectra of temperature variance in the sub-surface
layer were calculated using the data of ScanFish surveys. Since the distance
between the consecutive profiles varies depending on the depth, the ScanFish
data were first interpolated to the grid with a constant horizontal step of
300 m, which corresponds to the average distance between the up- and
downward casts. Then the individual spectra for every depth (with 0.5 m
step) were calculated, and the mean spectra in 10 m thick water layers were
obtained by averaging all spectra in those layers containing 21 individual
spectra. The spectral slopes between the spatial scales of 10 and 1 km were
estimated.</p>
      <p>Vertical stratification was described by estimating the potential energy
anomaly <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> (Simpson and Bowers, 1981; Simpson et al., 1990) as

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>h</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mn mathvariant="normal">0</mml:mn></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>)</mml:mo><mml:mi>g</mml:mi><mml:mi>z</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>h</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mn mathvariant="normal">0</mml:mn></mml:munderover><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the density profile over the water column of depth <inline-formula><mml:math display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>.
The stratification parameter <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(J m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the work required to bring
about the complete mixing of the water column under consideration. Similarly
to Liblik and Lips (2012), the integration was conducted from the sea surface
until 40 m depth. If the surface data were missing (upper 2 m where
the buoy profiler did not measure), the uppermost available density value was
extrapolated to the surface.</p>
      <p>The intrusion index was calculated as a sum of negative salinity gradients
(g kg<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> m<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> in the water layer from the sea surface to 40 m
depth. Before calculations, the salinity profiles were smoothed by 2.5 m
window. The idea behind the method comes from the fact that on the background
of vertical salinity gradient with a fresher surface layer and more saline
deep layer, lateral salinity gradients exist in the study area. In general,
fresher water originates from the east (the Neva River and other larger
rivers in the GoF) while more saline water originates from the Baltic proper.
This general lateral salinity gradient could be enhanced locally as a result
of meso- and sub-mesoscale dynamics. If the water layers with a thickness of
a few to 10 m move in different directions, vertical salinity inversions
could be generated in the water column where the vertical density gradient is
mostly maintained by the temperature distribution. Thus, high values of
intrusion index indicate the occurrence of layered flow structures.</p>
      <p>The Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorescence data acquired with different sensors attached to the
Ferrybox system, buoy profiler, and ScanFish were converted into Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
content values using equations of linear regression between the fluorescence
readings and results of laboratory analyses of water samples. The
conversation equation of Chl <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.47 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> (<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:mrow></mml:math></inline-formula> 0.41, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi></mml:mrow></mml:math></inline-formula> 0.05) was used for the buoy profiler fluorescence data analyzed
in this paper to convert fluorescence (<inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>; in arbitrary units) into Chl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
content in mg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Interpretation of Ferrybox fluorescence data was
sometimes difficult due to some problems with biofouling. In the present
study, we used only data from July 2010 when the found regression line had
the following parameters: Chl <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.34 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 2.41 (<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:mrow></mml:math></inline-formula> 0.77, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi></mml:mrow></mml:math></inline-formula> 0.05) and from summer 2012 by applying the following
regression line equation: Chl <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.06 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 4.11 (<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:mrow></mml:math></inline-formula> 0.80, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi></mml:mrow></mml:math></inline-formula> 0.05). Data only from evening crossings were used to
diminish the fluorescence quenching effect.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Forcing and general features</title>
      <p>The study period in July–August of 2009–2012 was characterized by distinct
inter-annual differences in wind conditions and distribution patterns of
temperature and salinity in the central part of the Gulf of Finland. Based on
HIRLAM (High-Resolution Limited Area Model) wind data, the average wind speed in July–August 2009–2012 in the
GoF area was 6.0 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 prevailing wind direction was from the
south-southeast with an average velocity of the airflow of 1.4 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>.
While the winds from the southwest prevailed in July–August 2009 and 2012
(average direction from 217 and 214<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> , respectively), the dominating
wind direction was from the southeast in 2010 and 2011 (average direction
from 160 and 122<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, respectively). Both in 2010 and in 2011 the
monthly average wind direction differed between the 2 analyzed months being
from 192<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in July to 115<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in August 2010 and from
73<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in July to 177<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in August 2011.</p>
      <p>On the synoptic scale (several days – a couple of weeks), mostly westerly
wind pulses occurred in 2009 except for a period in the first half of July with a
relatively strong wind pulse from the south-southeast (see time series of
wind stress vectors in Fig. 2). In 2010, moderate winds from the southwest
were prevailing in the first half of July while several wind pulses from the
east, northeast and south occurred during the rest of the study period.
Typical for 2011 was a consecutive appearance of relatively strong wind
pulses from southwest and east-northeast. In 2012, westerly winds clearly
prevailed with only two short periods when the wind pulses from the east
(early July) and northeast (second half of August) occurred.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Temporal changes in wind stress during the study period of 29 June–31 August in 2009–2012 based on 3 h average wind measured at the
Kalbadagrund meteorological station (Finnish Meteorological Institute) and
shown as series of wind stress vectors with a time step of 6 h smoothed
using 24 h moving average.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Temporal changes in horizontal and vertical distributions of
temperature (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and salinity (g kg<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>) in the Gulf of Finland
measured by the Ferrybox system between Tallinn and Helsinki and the
autonomous buoy profiler at station AP5 from 29 June to 31 August in 2009
(<bold>a, b</bold>, respectively), 2010 <bold>(c, d)</bold>, 2011 <bold>(e, f)</bold>, and
2012 <bold>(g, h)</bold>. The Ferrybox data are split into two parts at the
position of the buoy profiler AP5. The <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis shows the distance along the
ferry route from a starting point off Tallinn harbor at the latitude of
59.48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f03.png"/>

        </fig>

      <p>In general, as described by Kikas and Lips (2015) based on Ferrybox data, the
surface layer temperature was clearly higher in 2010 and 2011 than in 2009
and 2012. The surface layer salinity was the highest at the beginning of the
study period in 2011; the less saline water occupied the central gulf in 2009
and the second half of summer in 2010 and 2011 while the surface layer
salinity stayed relatively high in July–August 2012.</p>
      <p>Based on the combined figures of horizontal and vertical distributions of
temperature and salinity in July–August 2009 (Fig. 3a and b), the following
characteristic features could be identified. In the first half of July, an
upwelling event developed near the southern coast resulting in large
variations of temperature (7.8–17.8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and salinity
(4.2–6.1 g kg<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> across the gulf. Deepening of the thermocline
occurred after the upwelling relaxation in the southern part of the gulf.
A shallow and warm upper layer (temperature between 17.3 and 20.4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
with very low variations of salinity across the gulf (between 4.6 and
5.0 g kg<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> appeared in the study area due to a period of weak winds
in the first half of August. Upwelling near the southern coast occurred in
the second half of August with increased across-gulf variability of
temperature (from 12.9 to 17.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and salinity
(4.7–5.6 g kg<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>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Statistical characteristics of the temperature variability in the
surface layer of the Gulf of Finland along the ferry route Tallinn–Helsinki
from 29 June to 31 August in 2009, 2010, 2011, and 2012. Standard deviations
of temperature are shown as solid lines and spectral slopes of temperature
variance between the horizontal scales of 10 and 0.5 km as dotted lines. The
vertical dashed lines denote the borders between the selected characteristic
periods with similar variability patterns (numbers of periods are shown in
the upper part of the panels).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f04.png"/>

        </fig>

      <p>At the beginning of the study period in 2010, when mainly weak or variable
moderate winds prevailed, the variations of temperature (mostly being between
20 and 22 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and salinity in the surface layer were very low across
the gulf (Fig. 3c and d). This calm period was followed by a relatively weak
upwelling event off the northern coast and deepening of the thermocline from
10 m to 15 m in the southern part. A strong upwelling event near the
southern coast with the high spatial variability of temperature (varying
between 11.1 and 21.6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and salinity (varying between 4.0 and
6.3 g kg<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> across the gulf occurred in late July. The seasonal
thermocline had a much shallower position in 2010 (for the period with
available data until early August) than in 2009.</p>
      <p>Study period in July–August 2011 started with an upwelling event near the
southern coast with the surface layer temperature varying across the gulf
from 12.8 to 20.6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and salinity varying from 5.1 to
6.5 g kg<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> (Fig. 3e and f). During the next extensive upwelling event
in late July–early August off the southern coast, high variability of the
surface layer temperature (varying between 13.5 and 21.4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), and
salinity (varying between 4.4 and 6.4 g kg<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> across the gulf was
observed. Relaxation of the latter event was accompanied by a moderate
deepening of the thermocline in the southern part of the gulf. Strong winds
from variable directions in the second half of August caused strong vertical
mixing and downwelling with a drastic deepening of the seasonal thermocline
to 45 m depth in the southern part of the gulf.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Horizontal wavenumber spectra of temperature variance in the
surface layer of the Gulf of Finland calculated using Ferrybox data from the
Tallinn–Helsinki ferry line in the summers of 2009–2012. The bold lines show the
average spectral curve for the entire study period from 29 June to 31 August
in each year, and the thin lines represent the average spectral curves in
the selected periods. The numbers of the periods, corresponding to those
marked in Fig. 4 and listed in Table 1, are shown close to each respective
spectral curve. The dashed lines correspond to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 slopes.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f05.png"/>

        </fig>

      <p>The first half of July 2012 was characterized by relatively low spatial
variability of temperature and salinity in the surface layer of the study
area (Fig. 3g and h). An upwelling event occurred near the northern coast at
the end of July, creating a temperature difference across the gulf from 10.3
to 17.2 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and accompanied by the deepening of the seasonal
thermocline in the southern part (to 45 m). After a short period with
low variability, the second upwelling event appeared near the northern coast
while the surface layer temperature stayed quite high in the rest of the
study transect (up to 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). In the period between the two
upwelling events, strong intrusions of more saline water were observed in
the subsurface layer at the buoy station. The position of the seasonal
thermocline in the southern part of the gulf was the deepest in 2012 among
the analyzed years.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Lateral variability of temperature in the surface layer</title>
      <p>Overall horizontal variability of temperature characterized as the standard
deviation of temperature along the ferry route varied in quite large
ranges in time, from 0.2 to 3.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 4). High values of
standard deviation of temperature in the surface layer were related to the
observed coastal upwelling events and, as a rule, the upwelling events near
the southern coast resulted in larger spatial variations of temperature than
those near the northern coast. During the upwelling event in August 2010, the
standard deviation of temperature was as high as 3.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C while during
the other upwelling events within the study period in
July–August 2009–2012, the values of standard deviation of temperature did
not exceed 2.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Despite the high temporal variability of standard
deviations of temperature calculated based on data from single crossings, the
average values of standard deviations for the studied 4 years did not
differ much; a minimum of 0.71 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was found in 2009 and a maximum of
0.83 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in 2010 (Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Standard deviations of temperature and slopes of wavenumber spectra
of temperature variance based on the data collected in the surface layer
along the ferry route between Tallinn and Helsinki. Average values for each
year over the study period from 29 June to 31 August (to 22 August in 2012)
and within the selected periods with similar spatial variability are given.
Numbers of the periods correspond to the periods marked in Fig. 4.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Year</oasis:entry>  
         <oasis:entry colname="col2">Dates</oasis:entry>  
         <oasis:entry colname="col3">Standard</oasis:entry>  
         <oasis:entry colname="col4">Spectral</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">no.</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">deviation</oasis:entry>  
         <oasis:entry colname="col4">slope</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col4">(10–0.5 km)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">2009</oasis:entry>  
         <oasis:entry colname="col2">29 June–31 August</oasis:entry>  
         <oasis:entry colname="col3">0.71</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">29 June–15 July</oasis:entry>  
         <oasis:entry colname="col3">1.26</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">16 July–14 August</oasis:entry>  
         <oasis:entry colname="col3">0.37</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">15 August–31 August</oasis:entry>  
         <oasis:entry colname="col3">0.78</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2010</oasis:entry>  
         <oasis:entry colname="col2">29 June–31 August</oasis:entry>  
         <oasis:entry colname="col3">0.83</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">29 June–18 July</oasis:entry>  
         <oasis:entry colname="col3">0.52</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">19 July–31 July</oasis:entry>  
         <oasis:entry colname="col3">1.46</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">1 August–16 August</oasis:entry>  
         <oasis:entry colname="col3">0.48</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">17 August–24 August</oasis:entry>  
         <oasis:entry colname="col3">1.89</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2011</oasis:entry>  
         <oasis:entry colname="col2">29 June–31 August</oasis:entry>  
         <oasis:entry colname="col3">0.73</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">29 June–12 July</oasis:entry>  
         <oasis:entry colname="col3">0.93</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">13 July–25 July</oasis:entry>  
         <oasis:entry colname="col3">0.38</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">26 July–9 August</oasis:entry>  
         <oasis:entry colname="col3">1.43</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">10 August–31 August</oasis:entry>  
         <oasis:entry colname="col3">0.34</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2012</oasis:entry>  
         <oasis:entry colname="col2">29 June–22 August</oasis:entry>  
         <oasis:entry colname="col3">0.76</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">29 June–16 July</oasis:entry>  
         <oasis:entry colname="col3">0.32</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">17 July–13 August</oasis:entry>  
         <oasis:entry colname="col3">1.16</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">14 August–22 August</oasis:entry>  
         <oasis:entry colname="col3">0.35</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The calculated horizontal wavenumber spectra of temperature variance had also
relatively large variability if to compare the spectra estimated based on
data from single crossings. The spectral slope between the lateral scales of
10 and 0.5 km varied between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7 (in logarithmic scales). Note
that the spectral curves were approximately linear (Fig. 5) between the
scales of 15–20 km (the latter corresponds to a horizontal wavenumber of
0.05 km<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> or in a logarithmic scale <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3 in Fig. 5) and 0.5 km
(corresponds to wavenumber of 2 km<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> or in logarithmic scale 0.3 in
Fig. 5); thus, linear approximation of their slopes is feasible. Within the
periods of the high spatial variability of temperature, mostly related to
upwelling events affecting the distribution of temperature in the surface
layer of the Gulf of Finland, the estimated slopes were between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8 and
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2. When the spatial variability of temperature was low in the surface
layer, the slopes varied mostly between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 (Fig. 4). At the same
time, the average spectra for the entire period under consideration in the
studied years were quite close to each other (Fig. 5, bold lines) and the
spectral slopes on average were close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 (from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2; see
also Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Daily average stratification parameter (solid line with open
circles) and intrusion index (dashed line with crests) estimated for the
water column from the sea surface to 40 m depth at the buoy station AP5 in
the central Gulf of Finland from 29 June to 31 August in 2009–2012. Location
of the buoy station is shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f06.png"/>

        </fig>

      <p>Based on the presented lateral variability of temperature, some distinct
periods when the standard deviation of temperature was high and spectral
slope was close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 can be distinguished. We selected 3–4 periods with
the almost quasi-stationary character of variability in each year to
quantitatively describe the character of variability within these periods; the periods
are marked in the Fig. 4 by dashed lines.</p>
      <p>In 2009, two periods of high spatial variability caused by coastal upwelling
events existed (periods 1 and 3 marked in Fig. 4). During both periods, the
spectral lines had a higher position, and their slopes were shallower than
the average for the entire study period in 2009 (see Fig. 5 and Table 1). In
2010, two periods, which were also associated with the upwelling events
(periods 2 and 4; see Fig. 4), had much higher spatial variability, and the
spectral slopes were shallower than the average in 2010. All time intervals
comprising upwelling events in 2011 (periods 1 and 3; see Fig. 4) and 2012
(period 2; see Fig. 4) were also characterized by a higher position and
shallower slope of spectral lines than the lines representing the average for
July–August 2011 and 2012. The noticed divergence of spectral slopes from
the high-variability and low-variability periods resulted in a clearly larger
separation between the spectral curves at the sub-mesoscale than at the
mesoscale. While the spectral density of spatial variations of temperature at
the spatial scale of 1 km varied more than 1.5 in magnitude, it varied in
ranges of 1 magnitude at the spatial scale of 10 km (Fig. 5).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Temporal variability of the vertical stratification</title>
      <p>The vertical distributions of temperature and salinity at the buoy station
varied considerably in time similarly to the horizontal distributions of
temperature and salinity along the ferry route. The variations were revealed
as changes in the magnitude of vertical gradients, depth of the upper mixed
layer and seasonal thermocline, fast deepening or surfacing of the
thermocline, and occurrence of intrusions leading in certain cases to local
inversions in vertical salinity distribution (Fig. 3).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><caption><p>Vertical sections of temperature, salinity, and density anomaly
measured using the ScanFish on 22 July 2010 <bold>(a)</bold>, 27 July 2010 <bold>(b)</bold>, 2 August 2010 <bold>(c)</bold>, 4 July 2012 <bold>(d)</bold>, 20 July 2012 <bold>(e)</bold>, and 31 July 2012 <bold>(f)</bold>. The
corresponding ScanFish tracks are shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f07.jpg"/>

        </fig>

      <p>Temporal changes in vertical stratification in the Gulf of Finland could be
related to the differences in the heat flux through the sea surface and to
the prevailing wind forcing that influences both the estuarine circulation
alterations and the intensity of vertical mixing (see e.g., Liblik and Lips,
2012). Note that the autonomous buoy station in the present study was
located in the southern part of the open Gulf of Finland. Thus, in addition
to the seasonal course of stratification and its dependence on the estuarine
circulation, the vertical stratification at this location could be
significantly influenced both by the upwelling and by the downwelling along
the southern coast.</p>
      <p>Stratification parameter (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> calculated for the water layer between the sea
surface and 40 m depth increased in July 2010 and 2011 in accordance with
the strengthening of the seasonal thermocline (Fig. 6). In July–August of
these years, the winds from the southeast prevailed supporting the estuarine
circulation and, in turn, keeping up the strong vertical stratification;
the maximum of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 370 J m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was observed at the beginning of
August 2010. This continuous increase of <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> in both years was disrupted only
due to the coastal upwelling events (in 2010 also due to a weak downwelling
event) leading to rapid changes in the stratification parameter mostly
because of vertical movements of the thermocline. In contrast to 2010 and
2011, the stratification parameter did not increase much during the study
window in 2009 and 2012 in accordance with the prevailing southwesterly
winds. In 2009, the stratification parameter being relatively high due to the
vertical salinity stratification had the maximum in the first half of August
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 300 J m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and decreased rapidly afterwards when the
downwelling influence reached the buoy station. In 2012, the vertical
stratification in the water layer from the surface to 40 m depth almost
vanished at the measurement site AP5 by 20 July due to a very strong
downwelling event, which appeared along the southern coast of the Gulf of
Finland. Later on, the stratification at the buoy station strengthened, but
the stratification parameter was clearly the lowest in 2012 if compared to
the other years due to the deepest position of the seasonal thermocline.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Stratification parameter (open circles) and intrusion index
(crests) estimated for the water column from the sea surface to 40 m depth
along the ScanFish tracks on 22 July 2010 <bold>(a)</bold>, 27 July 2010 <bold>(b)</bold>, 2 August 2010 <bold>(c)</bold>, 4 July 2012 <bold>(d)</bold>, 20 July 2012 <bold>(e)</bold>, and 31 July 2012 <bold>(f)</bold>. The
corresponding ScanFish tracks are shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f08.png"/>

        </fig>

      <p>Vertical profiles of temperature and salinity collected at the buoy station
often exposed variability with vertical scales of a few to 10 m, which
could be interpreted as intrusions related to the sub-mesoscale dynamics.
Since the temperature was the main contributor to the vertical density
distribution in the seasonal thermocline, such intrusions could create local
inversions in the vertical distribution of salinity as mentioned above and
seen in Fig. 3. The calculated intrusion index showing how much the vertical
stratification is weakened due to local salinity inversions varied mostly
between 0 and 0.05. However, every year one or a few periods were detected
when the index exceeded 0.05, whereas the maximum index value obtained on
1–2 August 2012 reached 0.36.</p>
      <p>In 2009, the only period with relatively high intrusion index values was
detected during and just after the period of estuarine circulation reversal
(Liblik and Lips, 2012). The maximum of the intrusion index coincided with
the last day of the upwelling event near the northern coast that was followed
by the event near the southern coast and rapid decrease of the intrusion
index. In 2011, the index values &gt; 0.05 were detected a few times
in July, whereas the highest values on 12–14 August (exceeding 0.24 on
14 August) were related to the relaxation of an intense upwelling event near
the southern coast and short-term deepening of the thermocline at the buoy
station during a weak upwelling event near the northern coast. The mentioned
highest intrusion index value on 1–2 August 2012 was detected within the
period when two consecutive major upwelling events occurred near the northern
coast, whereas this maximum emerged between the upwelling events just before
the second one.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Horizontal wavenumber spectra of temperature variance in the
sub-surface layer of the Gulf of Finland calculated using ScanFish data from
22 July 2010, 27 July 2010, 2 August 2010, 4 July 2012, 20 July 2012, and 31 July 2012. The bold lines show the average spectral curve for each survey
and the thin lines represent the spectral curves in the selected layers with
the thickness of 10 m. The central depth values of the selected layers are
indicated at the left side of panels and the estimated spectral slopes for
the average spectral curve at the right of panels. The dashed lines
correspond to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 slopes.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f09.png"/>

        </fig>

      <p>Thus, the intrusions were most intense (in the sense of salinity inversions)
at the buoy station AP5 in connection with the relaxation of upwelling events
near the southern coast, development of upwelling events near the northern
coast and estuarine circulation reversals. All these situations correspond to
the periods when the thermocline was deepening or was already at a deep
position at the buoy station in the southern part of the open Gulf of
Finland. In addition, the stratification parameter values were low or
decreasing when the temporal maximum of intrusion index was detected. When
relating intrusion index values with the lateral variability in the surface
layer one could conclude that the found temporal maxima of intrusion
index corresponded to the periods of moderate lateral variability in the
surface layer. Nevertheless, during such periods, the slopes of horizontal
wavenumber spectra of temperature variance were close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 as during the
periods of high lateral variability, and approximately a week before the
highest intrusion index values, the lateral variability in the surface layer
was also high (Figs. 4 and 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Temporal changes in horizontal and vertical distribution of
chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (mg m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the Gulf of Finland measured by the Ferrybox
system between Tallinn and Helsinki and the autonomous buoy profiler at
station AP5 from 29 June to 31 August in 2010 <bold>(a)</bold> and 2012 <bold>(b)</bold>. The Ferrybox
route and the location of station AP5 are shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f10.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Spatial variability in the thermocline</title>
      <p>We analyzed the data of ScanFish surveys in the Gulf of Finland conducted
across the gulf in the open, deeper part and along the southern coast in
the summers of 2010 and 2012. The hydrographic background of surveys in 2010 is
characterized by the development of a weak upwelling along the northern coast
of the gulf on 22 July 2010, a strong upwelling event along the southern
coast on 27 July 2010 and relaxation of it by 2 August 2010 when the last
survey was conducted (see Fig. 3c, d). In summer 2012, when the upwelling
events along the northern coast dominated, the survey on 4 July 2012
characterizes the situation before those upwelling events, on 20 July 2012
the development of upwelling and on 31 July 2012, which was conducted along
the gulf, the situation related to a temporal relaxation of upwelling (see
Fig. 3g, h).</p>
      <p>A clear cross-gulf inclination of the thermocline was revealed on
22 July 2010 (Fig. 7a), although the ScanFish section did not reach the
upwelling area near the northern coast. At the same time, the isopycnals had
opposite inclination below the 20 m depth resulting in a weakening of the
vertical stratification from south to north (Fig. 8). A well-pronounced, less
saline water zone with a width of less than 5 km was observed in the surface
layer. The extension of an associated intrusion of lower salinity in the
thermocline was wider in the horizontal dimension and its thickness,
decreasing from north to south in accordance with the strength of the
vertical stratification, was less than 5 m.</p>
      <p>The along-gulf ScanFish section on 27 July 2010 from the buoy station AP5 to
the southwest crossed the meandering upwelling front (Fig. 7b). The observed
variability is characterized by clear mesoscale meanders of the front with
spatial scales of 10–15 km, strong stratification at the warm, less saline
side of the front and much weaker stratification at the cold, more saline
side of it, and very low intrusion index almost along the entire section
(Fig. 8b). A remarkable variability at the sub-mesoscale, also resulting in
intrusions of water with different salinity seen in Fig. 7c and expressed in
high values of intrusion index (Fig. 8c), was observed on 2 August 2010. A
less saline water zone was well visible almost at the same location as on
22 July 2010, but the surface layer salinity in it was much lower, less
than 4.5 g kg<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> (Fig. 7c).</p>
      <p>The average vertical gradients of all parameters – temperature, salinity,
and density – in the upper 40 m water layer were clearly lower in summer
2012 (Fig. 7d–f) than in summer 2010 (Fig. 7a–c). A less saline water zone
in the central part and slightly stronger vertical stratification in the
southern part of the section were observed on 4 July 2012 (Figs. 7d and 8d).
Development of the upwelling along the northern coast and downwelling in the
southern part caused strong inclination of the thermocline across the gulf
and a clear strengthening of vertical stratification from south to north on
20 July 2012 (Figs. 7e and 8e). In the area of strong inclination of the
thermocline, relatively large horizontal gradients of salinity and intense
sub-mesoscale variability, also seen as intrusions of water with different
salinity (Fig. 7e), were observed. On 31 July 2012, the ScanFish survey
revealed a mesoscale eddy-like feature (Fig. 7f), which could be formed in
the process of downwelling relaxation as also observed earlier along the
southern coast of the gulf (in its mouth area; see Lips et al., 2005). This
mesoscale feature was characterized by relatively weak vertical
stratification in its central part and high intrusion index values,
especially at its periphery (Fig. 8f). Note that the pronounced intrusion of
more saline water detected at the western end of the section was also
registered at the buoy station during several days (Fig. 3h).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Vertical sections of chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content measured using the
ScanFish on 22 July 2010, 27 July 2010, 2 August 2010, 4 July 2012, 20 July 2012, and 31 July 2012. The corresponding ScanFish tracks are shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/715/2016/os-12-715-2016-f11.png"/>

        </fig>

      <p>The horizontal wavenumber spectra of temperature variance shown in Fig. 9
vary considerably between the analyzed six surveys, both in the spectral
level and the shape of the curves. The highest variability at the meso- and
sub-mesoscale was related to the surveys, which were conducted when
pronounced upwelling events dominated in the study area, on 27 July 2010
and 20 July 2012. The former survey crossed the meandering upwelling front,
and the peak of the spectral density was found at the lateral scale of about
15 km. The latter survey was conducted when an upwelling event along the
northern coast was developing, and the ScanFish section crossed the inclined
thermocline. A similar situation with a weaker upwelling development and
slightly lower spectral densities was mapped on 22 July 2010.</p>
      <p>The spectral slopes between the horizontal scales of 10 and 1 km for spectra
averaged over depth intervals with the thickness of 10 m were mostly
shallower than <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2; the average values of spectral slopes for each survey
(shown in Fig. 9) varied between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.7 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0. The slopes close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2
were obtained for the surveys with the most pronounced mesoscale features.
Local vanishing of the spectral slope could be detected between the
horizontal scales from 3 to 1 km on 2 August 2010 and at scales from 3 to
2 km on 31 July 2012. High intrusion index values were characteristic for
the both mentioned surveys, especially for the survey on 31 July 2012
(Fig. 8c, f), which is in accordance with the index estimates based on the
buoy profiler data (Fig. 6d). High intrusion index values were also found for
the survey on 20 July 2012 when a patch of more saline water appeared in the
sub-surface layer at the warm side of the upwelling front (Figs. 7d and 8d).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <?xmltex \opttitle{Consequences to chlorophyll~$a$ dynamics}?><title>Consequences to chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> dynamics</title>
      <p>Temporal variability of chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> at the scales of days is usually much
higher than that of temperature and salinity since in addition to the
advection and mixing, the phytoplankton growth (and decay) could increase
(decrease) the biomass and consequently chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content rapidly.
Despite such high variability and other factors that could influence the
comparability of acquired chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> fluorescence data, e.g.,
fluorescence quenching, the presented combined plots of changes in horizontal
and vertical distributions agree reasonably well (Fig. 10).</p>
      <p>In the first half of July 2010, a sub-surface bloom developed in the southern
part of the Gulf of Finland, which occasionally was also seen in the surface
layer with higher chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> values off the southern coast (Fig. 10a).
When an upwelling event along the southern coast started to dominate (see
Fig. 3c), the chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content decreased in the southern part and
increased in the northern part of the study area. Before the bloom near the
northern coast, relatively deep chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> maxima were detected at the
buoy station at depths below 20 m (since the maxima layers were thin
they are not well seen in Fig. 10) and at the ScanFish section on
22 July 2010, especially at its northern part (Fig. 11). When the upwelling
developed along the southern coast of the gulf, the sub-surface
chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> maxima were situated at a shallower position in the warmer
side of the front, but they almost disappeared by 2 August 2010 after
relaxation of the upwelling event. In between the two surveys, the bloom developed near the
northern coast in the convergence/downwelling area. It was suggested that
this bloom could be related to the observed sub-surface maxima of
chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, which contained the dinoflagellate <italic>Heterocapsa triquetra</italic> in very high numbers (Lips and Lips, 2014).</p>
      <p>In 2012, the chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content was higher in the northern half of the
study area than in its southern part in the first half of July. Later, when
the two consecutive upwelling events appeared along the northern coast, the
highest chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> values were observed close to the southern coast. At
the buoy station, where the downwelling influence was visible (see Fig. 3g),
the chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content also increased in the sub-surface layer.
Occasionally, high chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> values were detected close to the
upwelling front in the northern part of the study area. While the sub-surface
maxima of chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> were observed at the buoy station and the ScanFish
transect at the beginning of July 2012 (Fig. 11), they disappeared when the
upwelling events occurred near the northern coast. During the upwelling
development, both the chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content in the surface layer and the
thickness of the surface layer with elevated chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> increased from
north to south. However, those tendencies had pronounced intermittency at
lateral scales of 1 to a few kilometers. A similar distribution pattern was
registered in the phase of the upwelling/downwelling relaxation on 31 July
2012.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion and conclusions</title>
      <p>Many earlier studies have noticed that proper in situ measurements to reveal
sub-mesoscale features are difficult to organize since the variability both
in space and in time has to be tackled simultaneously (e.g., Hosegood et al.,
2008, Niewiadomska et al., 2008, Pietri et al., 2013). Especially challenging
are the investigations of sub-mesoscale processes in the coastal, relatively
shallow but vertically stratified sea areas where the characteristic
baroclinic Rossby radius is on the order of a few kilometers, as in the Gulf of
Finland – 2–5 km (Alenius et al., 2003). We suggest that the most
promising approach to solve the problem is to apply a combination of
autonomous and research-vessel-based devices, such as Ferryboxes, moored
profilers, underwater autonomous vehicles (gliders) and towed undulating
instruments (ScanFish).</p>
      <p>Simultaneous temporal changes that could be related to mesoscale processes
are clearly seen in horizontal and vertical distributions of temperature and
salinity presented in Fig. 3. The sub-mesoscale features such as upwelling
filaments were also registered simultaneously by both systems, for instance
in the first half of July 2009 and on 24 July 2010. Furthermore, the buoy
profiler and ScanFish simultaneously detected intrusions of water with
different salinity in the thermocline layer. Thus, the application of
high-resolution autonomous and towed devices, which measure horizontal and
vertical distributions of environmental parameters, makes it possible to
detect meso- and sub-mesoscale features and quantitatively estimate their
properties. In the present study, the underwater gliders were not applied,
but they have been successfully tested in the Baltic Sea (e.g., Karstensen et
al., 2014).</p>
      <p>If the high-resolution measurements have a large enough coverage in space
and time, one is able to reveal statistical parameters of sub-mesoscale
variability. In turn, this would lead to an improved parameterization of
sub-grid processes in the numerical models that has been considered as a
problem in the modeling of the relatively shallow, but stratified Baltic Sea
sub-basins (Tuomi et al., 2012; Omstedt et al., 2014). It also allowed us to
display some general features of spatiotemporal variability of temperature
and salinity in the study region – the central Gulf of Finland. The
upwelling events along the southern coast were associated with higher
horizontal variability of temperature in the surface layer than those along
the northern coast (Kikas and Lips, 2015; Liblik and Lips, 2016). In the
case of prevailing westerly winds, the seasonal thermocline has a deeper
position and the vertical gradient of salinity is weaker than in the case of
easterly winds (Liblik and Lips, 2012).</p>
      <p>One of the questions addressed in the present study was whether the
wavenumber spectra of temperature variance convert to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 slope predicted by
the theory of quasi-geostrophic turbulence in the ocean interior (Charney,
1971) or rather to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> slope predicted by the theory of surface
quasi-geostrophic turbulence (Held et al., 1995). We found that the
wavenumber spectra of temperature variance in the surface layer had slopes
varying mostly between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7 estimated for the lateral scales
from 10 to 0.5 km. Nevertheless, when high variability at the mesoscale,
i.e., pronounced mesoscale features, were observed, the spectral slopes were
shallower than <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2. Similar tendency towards <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 slope was obtained for the
wavenumber spectra of temperature variance in the thermocline layer between
the spatial scales of 10 and 1 km. These estimates were very stable over the
4 years of Ferrybox measurements and all ScanFish surveys analyzed in the
present study.</p>
      <p>Such conversion of wavenumber spectra of temperature variance to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 slope
has been identified earlier in other sea areas by high-resolution modeling
(e.g., Capet et al., 2008) and in situ measurements (e.g., Hodges and Rudnick,
2006). Based on remote sensing altimeter data, it is shown that sea level
wavenumber spectra also correspond well to the surface quasi-geostrophic
theory (Le Traon et al., 2008). In a recent study, Kolodziejczyk et
al. (2015) showed that if the surface density is analyzed then the <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2
spectral slope is obtained in summer conditions when the salinity and
temperature variations do not compensate each other (in north-eastern
subtropical Atlantic Ocean). We have used temperature data to estimate
potential energy wavenumber spectra assuming that mostly temperature
determines the density in the upper layer (including the seasonal
thermocline) in the Gulf of Finland in summer. It has to be noted that the
wavenumber spectra of density variance corresponded to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 slope as well
when the spatial variability was dominated by coastal upwelling events.
According to these findings, the sub-mesoscale processes have to be more
energetic than suggested by the quasi-geostrophic theory of turbulence in the
ocean interior. Thus, the observed high lateral variability of temperature in
the surface layer and associated <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 spectral slopes suggest a significant
role of sub-mesoscale processes in vertical exchanges in the stratified Gulf
of Finland and similar sea areas.</p>
      <p>The lateral variability of temperature in the sub-surface layer was the
highest during the surveys when the upwelling events either off the southern
or off the northern coast occurred (ScanFish sections on 27 July 2010 and
20 July 2012). Higher intrusion index values in the sub-surface layer were
also found at the ScanFish sections in relation to the development and
relaxation of coupled upwelling/downwelling events, except at the section
crossing the meandering upwelling front on 27 July 2010. One could suggest
that the intrusion index (counted as a sum of salinity inversions) indicates
the presence of the layered flow structure and thus, the intensity of lateral
mixing. When analyzing the characteristics of coastal upwelling, Kikas and
Lips (2015) suggested that two types of upwelling events could be identified.
During the event on 18–27 July 2012, no pronounced upwelling front was
detected, rather a gradual decrease of the surface temperature from the open
sea towards the coast with remarkable variability at the sub-mesoscale was
observed. It was suggested that such upwelling events could develop when the
wind forcing is weaker than required to generate an Ekman drift in the entire
upper layer and consecutive surfacing of the thermocline.</p>
      <p>The observed salinity intrusions at the ScanFish section on 20 July 2012
support the above suggestion by Kikas and Lips (2015). The seasonal
thermocline was relatively deep in July 2012 and most probably, the observed
salinity intrusions were formed as a response to the winds favorable for the
upwelling near the northern coast. Consequently, in such conditions, the
lateral mixing is enhanced as the transport of water with different
characteristics upward and downward along the inclined isopycnals. In turn,
it could result in enhanced vertical (diapycnal) mixing of water at
laterally distant places from their origin. We suggest that sub-mesoscale
dynamics and layered flow structure contribute significantly to the lateral
and vertical mixing in the stratified sea areas under variable wind forcing.</p>
      <p>The highest values of intrusion index were registered at the buoy station in
late July – early August 2012 and at the ScanFish section on 31 July 2012
during the relaxation of the downwelling near the southern coast. Apart of
this major sub-mesoscale structure, similar intrusions visible in the
vertical salinity distribution at the buoy station were quite frequent in
the summers of 2009–2012 in the seasonal thermocline layer, e.g., in late
July–early August 2009, in mid-August 2011 and in July and August 2012 (Fig. 3).
In addition, water with slightly lower salinity was occasionally seen at
the buoy station in July 2010 and clear evidence is provided by the
ScanFish surveys on 22 July 2010 and 2 August 2010 that such intrusions of
low salinity water in the upper part of the seasonal thermocline originated
from patches of lower surface salinity in the central gulf. At least on two
occasions could we detect clear inclination of salinity intrusions in
relation to the isopycnals – on 2 August 2010 in the southern part of the
section and on 20 July 2012 in the central part of it. This finding is
similar to the observations by Pietri et al. (2013) in the upwelling system
off southern Peru, where they suggested that observed sub-mesoscale features
could be the result of the stirring by the mesoscale circulation. Note that
the sub-surface chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> maxima registered in the northern part of the
ScanFish section on 22 July 2010 were also inclined in relation to the
isopycnals (see Fig. 11).</p>
      <p>Two examples of bloom development in the near-coastal convergence zone were
shown in the present study – in late July 2010 near the northern coast and
in July and August 2012 near the southern coast (Fig. 10). Lips and
Lips (2014) suggested that the bloom near the northern coast in 2010 could be
related to the sub-surface maxima of chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, which contained the
vertically migrating dinoflagellate <italic>Heterocapsa triquetra</italic> in very
high numbers. Similar development of the biomass peak with a relatively
high share of this vertically migrating species in the surface layer was
observed in the same area also in August 2006 (Lips and Lips, 2010). The
highest biomass and chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content in that convergence zone was
associated with the locally higher location of isopycnals, thus, with the
stratified conditions in the surface layer, although in the downwelling area.</p>
      <p>The ScanFish surveys conducted during the downwelling event and its
relaxation at the end of July 2012 did not show high chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content
in the sub-surface layer. However, the data both from the buoy station and
from the ScanFish surveys registered clearly enhanced chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content
in the surface layer with quite a large intermittency in the chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
content and layer thickness with enhanced chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content (Figs. 10
and 11). Note that the blooms lasted relatively long time (about 10 days),
and the highest biomass (chlorophyll <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content) was not observed near the
mesoscale upwelling front where the largest vertical velocities could be
expected (e.g., Thomas and Lee, 2005). Levy et al. (2012) showed that the
sub-mesoscale processes have large-scale effect on phytoplankton growth in
the ocean, which could be seen at larger scales and distant places. An
improvement in the resolution of ocean circulation models has resulted in
more energetic motions not only close to the large scale (or mesoscale)
fronts but rather in the surface layer of the whole modeling domain (Capet
et al., 2008; Levy et al., 2010).</p>
      <p>We suggest that the maintenance of the bloom, which could not be explained
by pure convergence due to the Ekman drift in the surface layer, must
benefit from other processes feeding the surface layer with nutrients and/or
biomass. The ageostrophic sub-mesoscale processes could be responsible for
re-stratification of the surface layer, vertical transport and thus, also
for growth enhancement (Levy et al., 2012). This conclusion supports the
concept that the vertical exchanges related to the mesoscale processes
(eddies) are enhanced due to the sub-mesoscale activity and not only in the
vicinity but also far off the mesoscale features (Klein and Lapeyre, 2009).</p>
      <p>The results of the present study can be concluded as follows. The analysis of
high-resolution data from summers 2009–2012 revealed pronounced
sub-mesoscale features in the surface and subsurface layer, e.g., upwelling
and downwelling filaments and intra-thermocline intrusions with spatial
scales of a few kilometers (typical baroclinic Rossby radius in the Gulf of
Finland is 2–5 km). The horizontal wavenumber spectra of temperature
variance estimated between the lateral scales of 10 and (1)0.5 km had the
slopes close to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 both in the surface layer and in the seasonal
thermocline. It shows that the ageostrophic sub-mesoscale processes
contribute considerably to the energy cascade in this stratified sea basin.
We showed that the role of sub-mesoscale processes was significant especially
in the conditions of changing wind forcing, e.g., during the development and
relaxation of coastal upwelling and downwelling events. We suggest that the
sub-mesoscale processes play a major role in feeding surface blooms in the
conditions of coupled coastal upwelling and downwelling events in the Gulf of
Finland.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The work was supported by institutional research funding (IUT19-6) of the
Estonian Ministry of Education and Research, by the Estonian Science
Foundation grant no. 9023 and by EU Regional Development Foundation,
Environmental Conservation and Environmental Technology R&amp;D Programme
project VeeOBS (3.2.0802.11-0043).
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by:  H. Wehde</p></ack><ref-list>
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<abstract-html><p class="p">High-resolution numerical modeling, remote sensing, and in
situ data have revealed significant role of sub-mesoscale features in shaping
the distribution pattern of tracers in the ocean's upper layer. However, in
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relatively shallow basins as the Gulf of Finland, where the typical baroclinic
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dedicated research-vessel-based surveys. The analysis of collected
high-resolution data in the summers of 2009–2012 revealed pronounced variability at
the sub-mesoscale in the presence of mesoscale upwelling/downwelling, fronts,
and eddies. The horizontal wavenumber spectra of temperature variance in the
surface layer had slopes close to −2 between the lateral scales from 10 to
0.5 km. Similar tendency towards the −2 slopes of horizontal wavenumber
spectra of temperature variance was found in the seasonal thermocline between
the lateral scales from 10 to 1 km. It suggests that the ageostrophic
sub-mesoscale processes could contribute considerably to the energy cascade
in such a stratified sea basin. We showed that the intrusions of water with
different salinity, which indicate the occurrence of a layered flow structure,
could appear in the process of upwelling/downwelling development and
relaxation in response to variable wind forcing. We suggest that the
sub-mesoscale processes play a major role in feeding surface blooms in the
conditions of coupled coastal upwelling and downwelling events in the Gulf of
Finland.</p></abstract-html>
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