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<front>
<journal-meta>
<journal-id journal-id-type="publisher">NPG</journal-id>
<journal-title-group>
<journal-title>Nonlinear Processes in Geophysics</journal-title>
<abbrev-journal-title abbrev-type="publisher">NPG</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nonlin. Processes Geophys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7946</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/npg-3-236-1996</article-id>
<title-group>
<article-title>Multifractal intermittency of Eulerian and Lagrangian turbulence of ocean temperature and plankton fields</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Seuront</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Schmitt</surname>
<given-names>F.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Schertzer</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lagadeuc</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lovejoy</surname>
<given-names>S.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Station Marine de Wimereux, CNRS-URA 1363, Université des Sciences et Technologie de Lille, 28 avenue Foch, BP 80, 62930 Wimereux, France</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Laboratoire de Météorologie Dynamique, CNRS/UPR 1211, Université Pierre et Marie Curie, Tour 15, BP 99, 4 place Jussieu, 75252 Paris Cedex 05, France</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Physics Dept., McGill University, 3600 University St., Montréal, H3A 2T8, Canada</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>now at the Institut Royal Météorologique, Section Climatologie Dynamique, 3 avenue Circulaire, 1180 Bruxelles, Belgium</addr-line>
</aff>
<pub-date pub-type="epub">
<day>31</day>
<month>12</month>
<year>1996</year>
</pub-date>
<volume>3</volume>
<issue>4</issue>
<fpage>236</fpage>
<lpage>246</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 1996 L. Seuront et al.</copyright-statement>
<copyright-year>1996</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by-nc-sa/2.5/">https://creativecommons.org/licenses/by-nc-sa/2.5/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://npg.copernicus.org/articles/3/236/1996/npg-3-236-1996.html">This article is available from https://npg.copernicus.org/articles/3/236/1996/npg-3-236-1996.html</self-uri>
<self-uri xlink:href="https://npg.copernicus.org/articles/3/236/1996/npg-3-236-1996.pdf">The full text article is available as a PDF file from https://npg.copernicus.org/articles/3/236/1996/npg-3-236-1996.pdf</self-uri>
<abstract>
<p>In   this  paper,   we   present 
evidence   that
          intermittency of  Eulerian and  Lagrangian turbulence of

ocean
          temperature   and   plankton   fields   is  
multifractal   and
          furthermore  can  be  analysed  with  the   help  of 
universal multifractals.  We  analyse time series  of temperature 
and in
          vivo fluorescence  taken from  a drifter in  the mixed 
coastal
          waters  of   the  eastern  English   Channel.    Two  
analysis
          techniques  are  used  to  compute  the  fundamental 
universal
          multifiractal parameters, which describe all the 
statistics of
          the  turbulent  fluctuations:   the  analysis   of  the 

scale
          invariant  structure  function exponent &lt;i&gt;ζ&lt;/i&gt;(&lt;i&gt;q&lt;/i&gt;)  and  the 
Double
          Trace Moment technique.   At small scales, we do not
detect any
          significant  difference  between  the  universal 
multifiractal
          behavior  of  temperature  and   fluorescence  in  an 
Eulerian
          framework.   This supports  the hypothesis that  the
latter  is
          passively advected with  the flow  as the former.   On
the  one
          hand,  we show that large scale measurements are
Lagrangian and
          indeed  we obtain  for temperature  fluctuations  a &lt;i&gt;ω&lt;/i&gt;&lt;I&gt;&lt;sup&gt;2&lt;/sup&gt;  &lt;/I&gt;power
          spectrum  corresponding  to  the   theoretical  scaling 
of   a
          Lagrangian   passive  scalar.     Furthermore,   we 
show  that
          Lagrangian   temperature  fluctuations   are 
multiscaling  and
          intermittent.   On the other hand,  the flatter  slope
at large
          scales of the fluorescence power spectrum  points out
that  the
          plankton is at these scales a &quot;biologically active&quot;
scalar.</p>
</abstract>
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