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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Earth Sciences</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Earth Sciences</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Russian Journal of Earth Sciences</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">1681-1208</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">46860</article-id>
   <article-id pub-id-type="doi">10.2205/2018ES000638</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORIGINAL ARTICLES</subject>
    </subj-group>
    <subj-group>
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Wave steepness from satellite altimetry for wave dynamics and climate studies</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Wave steepness from satellite altimetry for wave dynamics and climate studies</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Badulin</surname>
       <given-names>S </given-names>
      </name>
      <name xml:lang="en">
       <surname>Badulin</surname>
       <given-names>S </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Grigorieva</surname>
       <given-names>V </given-names>
      </name>
      <name xml:lang="en">
       <surname>Grigorieva</surname>
       <given-names>V </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Gavrikov</surname>
       <given-names>A </given-names>
      </name>
      <name xml:lang="en">
       <surname>Gavrikov</surname>
       <given-names>A </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Geogjaev</surname>
       <given-names>V </given-names>
      </name>
      <name xml:lang="en">
       <surname>Geogjaev</surname>
       <given-names>V </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Krinitskiy</surname>
       <given-names>M </given-names>
      </name>
      <name xml:lang="en">
       <surname>Krinitskiy</surname>
       <given-names>M </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Markina</surname>
       <given-names>M </given-names>
      </name>
      <name xml:lang="en">
       <surname>Markina</surname>
       <given-names>M </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <volume>18</volume>
   <issue>5</issue>
   <fpage>1</fpage>
   <lpage>17</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-11-10T00:21:06+03:00">
     <day>10</day>
     <month>11</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/46860/view">https://rjes.ru/en/nauka/article/46860/view</self-uri>
   <abstract xml:lang="ru">
    <p>Wave steepness is presented as an extension and a valuable add-on to the conventional set of sea state parameters retrieved from satellite altimetry data. Following physical model based on recent advances of weak turbulence theory wave steepness is estimated from directly measured spatial gradient of wave height. In this way the method works with altimetry trajectories rather than with point-wise data. Moreover, in contrast to widely used parametric models this approach provides us with instantaneous values of wave steepness and period. Relevance of single-track estimates of wave steepness period is shown for wave climate studies and confirmed by a simple probabilistic model. The approach is verified via comparison against buoy and satellite data including crossover points for standard 1 second data of Ku-band altimeters. High quality of the physical model and robustness of the parametric ones are examined in terms of global wave statistics. Prospects and relevance of both approaches in the ocean wave climate studies are discussed.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Wave steepness is presented as an extension and a valuable add-on to the conventional set of sea state parameters retrieved from satellite altimetry data. Following physical model based on recent advances of weak turbulence theory wave steepness is estimated from directly measured spatial gradient of wave height. In this way the method works with altimetry trajectories rather than with point-wise data. Moreover, in contrast to widely used parametric models this approach provides us with instantaneous values of wave steepness and period. Relevance of single-track estimates of wave steepness period is shown for wave climate studies and confirmed by a simple probabilistic model. The approach is verified via comparison against buoy and satellite data including crossover points for standard 1 second data of Ku-band altimeters. High quality of the physical model and robustness of the parametric ones are examined in terms of global wave statistics. Prospects and relevance of both approaches in the ocean wave climate studies are discussed.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Wave turbulence</kwd>
    <kwd>satellite altimetry</kwd>
    <kwd>wave steepness</kwd>
    <kwd>parametric and physical models of wave period</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Wave turbulence</kwd>
    <kwd>satellite altimetry</kwd>
    <kwd>wave steepness</kwd>
    <kwd>parametric and physical models of wave period</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
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