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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">geomorf</journal-id><journal-title-group><journal-title xml:lang="ru">Геоморфология и палеогеография</journal-title><trans-title-group xml:lang="en"><trans-title>Geomorfologiya i Paleogeografiya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-1789</issn><issn pub-type="epub">2949-1797</issn><publisher><publisher-name></publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">geomorf-2029</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>Методика научных исследований</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Scientific Research Methods</subject></subj-group></article-categories><title-group><article-title>Опыт математической характеристики формы продольного профиля рек</article-title><trans-title-group xml:lang="en"><trans-title>Mathematical characteristics of the longitudinal profile of rivers</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бутаков</surname><given-names>Г. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Butakov</surname><given-names>G. P.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Казанский государственный университет им. В. И. Ульянова-Ленина</institution><country>Россия</country></aff></aff-alternatives><pub-date pub-type="collection"><year>1970</year></pub-date><pub-date pub-type="epub"><day>20</day><month>06</month><year>2022</year></pub-date><volume>0</volume><issue>4</issue><issue-title>Геоморфология</issue-title><fpage>74</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Бутаков Г.П., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Бутаков Г.П.</copyright-holder><copyright-holder xml:lang="en">Butakov G.P.</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://geomorphology.igras.ru/jour/article/view/2029">https://geomorphology.igras.ru/jour/article/view/2029</self-uri><abstract><p>Analysis of the form of the longitudinal profile of rivers can be used when making aleogeomorphological reconstructions. Comparing of different equations used for approximation of the longitudinal profiles of rivers showed that most exactly the form of topographical profile is expressed through the logarithmic equasion of the type h=K-d lg l. All other equations: parabolic, lagorithmica, exponent and bilogarithmic equations do not express the form of the actually existing profile, and besides, very often are hard for calculations. Empirically it was established that the parameters of a logarithmic equasion can be defined without knowing the actual profile what is especially important for paleogeomorphological reconstructions. The parameter K is defined by the altitude of the source of the river, correlation coefficient between them is equal to 0.931-0.03. The parameter d is rather well correlated with the difference of altitudes of the source and mouth of the river (H) : d=0.417H, correlation coefficient - 0.91±0.04.</p></abstract><trans-abstract xml:lang="en"><p>Analysis of the form of the longitudinal profile of rivers can be used when making aleogeomorphological reconstructions. Comparing of different equations used for approximation of the longitudinal profiles of rivers showed that most exactly the form of topographical profile is expressed through the logarithmic equasion of the type h=K-d lg l. All other equations: parabolic, lagorithmica, exponent and bilogarithmic equations do not express the form of the actually existing profile, and besides, very often are hard for calculations. Empirically it was established that the parameters of a logarithmic equasion can be defined without knowing the actual profile what is especially important for paleogeomorphological reconstructions. The parameter K is defined by the altitude of the source of the river, correlation coefficient between them is equal to 0.931-0.03. The parameter d is rather well correlated with the difference of altitudes of the source and mouth of the river (H) : d=0.417H, correlation coefficient - 0.91±0.04.</p></trans-abstract></article-meta></front><back><ref-list><title>References</title></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
