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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">tinro</journal-id><journal-title-group><journal-title xml:lang="ru">Известия ТИНРО</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya TINRO</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1606-9919</issn><issn pub-type="epub">2658-5510</issn><publisher><publisher-name>ТИНРО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26428/1606-9919-2022-202-601-622</article-id><article-id custom-type="elpub" pub-id-type="custom">tinro-758</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>БИОЛОГИЧЕСКИЕ РЕСУРСЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>BIOLOGICAL RESOURCES</subject></subj-group></article-categories><title-group><article-title>О применении фильтров Калмана в когортных моделях</article-title><trans-title-group xml:lang="en"><trans-title>On application of Kalman filters in cohort models</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3581-5333</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ильин</surname><given-names>О. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Ilin</surname><given-names>O. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ильин Олег Игоревич, кандидат физико-математических наук, ведущий научный сотрудник</p><p>683000, г. Петропавловск-Камчатский, ул. Набережная, 18</p></bio><bio xml:lang="en"><p>Oleg I. Ilin, Ph.D., leading researcher</p><p>18, Naberezhnaya Street, Petropavlovsk-Kamchatsky, 683000</p></bio><email xlink:type="simple">ilin.o.i@kamniro.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Камчатский филиал ВНИРО (КамчатНИРО)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kamchatka branch of VNIRO (KamchatNIRO)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>04</day><month>10</month><year>2022</year></pub-date><volume>202</volume><issue>3</issue><fpage>601</fpage><lpage>622</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ильин О.И., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Ильин О.И.</copyright-holder><copyright-holder xml:lang="en">Ilin O.I.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://izvestiya.tinro-center.ru/jour/article/view/758">https://izvestiya.tinro-center.ru/jour/article/view/758</self-uri><abstract><p>На примере восточнокамчатского минтая рассматривается один из возможных подходов к оценке состояния запасов морских промысловых гидробионтов по данным о возрастной структуре уловов. Представлены алгоритмы субоптимальной фильтрации и интерполяции (сглаживающий расширенный фильтр Калмана и сглаживающий сигма-точечный фильтр Калмана) для когортной модели эксплуатируемого запаса при наличии неопределенности относительно истинного значения вектора параметров системы.</p></abstract><trans-abstract xml:lang="en"><p>On example of walleye pollock at East Kamchatka, one of possible approaches is considered to assess the state of stocks for marine commercial species with usage of the data on age structure in catches. Algorithms for suboptimal filtering and interpolation (extended Kalman smoother and unscented Kalman smoother) are presented for a cohort model of an exploited stock, in presence of uncertainty about true value of the vector of the system parameters.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>оценка запасов</kwd><kwd>когортная модель</kwd><kwd>фильтр Калмана</kwd><kwd>восточно-камчатский минтай</kwd></kwd-group><kwd-group xml:lang="en"><kwd>tock assessment</kwd><kwd>cohort model</kwd><kwd>Kalman filter</kwd><kwd>East Kamchatka</kwd><kwd>walleye pollock</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Аоки М. 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