<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" specific-use="SMUR" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">NPGD</journal-id>
<journal-title-group>
<journal-title>Nonlinear Processes in Geophysics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">NPGD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nonlin. Processes Geophys. Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2198-5634</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/npg-2018-48</article-id>
<title-group>
<article-title>Estimating vertically averaged energy dissipation rate</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sugiura</surname>
<given-names>Nozomi</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>Kouketsu</surname>
<given-names>Shinya</given-names>
<ext-link>https://orcid.org/0000-0002-8217-5888</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Masuda</surname>
<given-names>Shuhei</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>Osafune</surname>
<given-names>Satoshi</given-names>
<ext-link>https://orcid.org/0000-0002-5042-7729</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yasuda</surname>
<given-names>Ichiro</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Research and Development Center for Global Change, JAMSTEC, Yokosuka, Japan</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Atmosphere and Ocean Research Institute, University of Tokyo, Chiba, Japan</addr-line>
</aff>
<funding-group>
<award-group id="gs1">
<funding-source>Ministry of Education, Culture, Sports, Science and Technology</funding-source>
<award-id>KAKENHI-JP15H05817</award-id>
<award-id>KAKENHI-JP15H05819</award-id>
</award-group>
</funding-group>
<pub-date pub-type="epub">
<day>10</day>
<month>12</month>
<year>2018</year>
</pub-date>
<volume>2018</volume>
<fpage>1</fpage>
<lpage>23</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2018 Nozomi Sugiura et al.</copyright-statement>
<copyright-year>2018</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://npg.copernicus.org/preprints/npg-2018-48/">This article is available from https://npg.copernicus.org/preprints/npg-2018-48/</self-uri>
<self-uri xlink:href="https://npg.copernicus.org/preprints/npg-2018-48/npg-2018-48.pdf">The full text article is available as a PDF file from https://npg.copernicus.org/preprints/npg-2018-48/npg-2018-48.pdf</self-uri>
<abstract>
<p>The energy dissipation rate is an important characteristic of turbulence; however, its magnitude in observational profiles can be misidentified owing to its erratic evolution. By analysing observed data from oceanic turbulence, we show that the vertical sequences of depth-averaged energy dissipation rates have a scaling property, and propose a method to suitably estimate the vertically averaged value by utilizing that property. For scaling in the observed profiles, we found that averaging neighbouring points increases the expected value of its logarithm proportionally to the logarithm of the averaging interval. Furthermore, the population mean can be estimated for the logarithm of the vertically averaged energy dissipation rate from a single observation profile, by scaling up and promoting the observed value at each depth to one that corresponds to the whole profile. The estimate allows to distinguish whether an observational profile exhibits a momentarily high value by intermittency or maintains high energy dissipation on average.</p>
</abstract>
<counts><page-count count="23"/></counts>
</article-meta>
</front>
<body/>
<back>
</back>
</article>