<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">vetpress</journal-id><journal-title-group><journal-title xml:lang="ru">Аграрная наука</journal-title><trans-title-group xml:lang="en"><trans-title>Agrarian science</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-8155</issn><issn pub-type="epub">2686-701X</issn><publisher><publisher-name>Редакция журнала "Аграрная наука"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32634/0869-8155-2022-359-5-63-66</article-id><article-id custom-type="elpub" pub-id-type="custom">vetpress-2097</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>АГРОНОМИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AGRONOMY</subject></subj-group></article-categories><title-group><article-title>Синтез оптимальной радиационной модели роста растений по критерию минимума передающейся в почву интегральной солнечной радиации</article-title><trans-title-group xml:lang="en"><trans-title>Synthesis of an optimal radiation model of plant growth according to the criterion of the minimum of integral solar radiation transmitted to the soil</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>Асадов</surname><given-names>Х. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Asadov</surname><given-names>G. H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Асадов Хикмет. Г., доктор технических наук</p><p>AZ1145,г. Баку, ул. С.С. Ахундова, стр.1</p></bio><bio xml:lang="en"><p>Asadov Khikmet G., doctor of technical sciences</p><p>AZ1145, Republic of Azerbaijan, Baku, S.S. Akhundova st., p.1</p></bio><email xlink:type="simple">asadzade@rambler.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Махмудова</surname><given-names>В. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Mahmudova</surname><given-names>V. Kh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Махмудова В.Х. кандидат технических наук</p><p>AZ1145,г. Баку, ул. С.С. Ахундова, стр.1</p></bio><bio xml:lang="en"><p>Mahmudova V. Kh., Candidate of Technical Sciences</p><p>AZ1145, Republic of Azerbaijan, Baku, S.S. Akhundova st., p.1</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальное аэрокосмическое агентство</institution><country>Азербайджан</country></aff><aff xml:lang="en"><institution>National Aerospace Agency</institution><country>Azerbaijan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>17</day><month>06</month><year>2022</year></pub-date><volume>0</volume><issue>5</issue><fpage>63</fpage><lpage>66</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Асадов Х.Г., Махмудова В.Х., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Асадов Х.Г., Махмудова В.Х.</copyright-holder><copyright-holder xml:lang="en">Asadov G.H., Mahmudova V.K.</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://www.vetpress.ru/jour/article/view/2097">https://www.vetpress.ru/jour/article/view/2097</self-uri><abstract><sec><title>Актуальность</title><p>Актуальность. На основе спутниковых данных дистанционного зондирования было высказано предположение о том, что между NDVI и FPAR имеется линейная связь. Однако значительное влияние на эту взаимосвязь сезонных факторов конкретной экосистемы создает неопределенность в оценке продуктивности растений средствами дистанционного зондирования. Эта неопределенность оценок общей выращенной продукции (GPP) по показателю, вычисляемому как отношение GPP к поглощенной растительностью фотосинтетически активной радиации, может быть объяснена суточными изменениями поступающей оптической радиации как по составу, так и по величине. Показано, что показатель GPP может быть определен косвенно путем вычисления экстремума теплового потока почвы, по- ступающего извне.</p></sec><sec><title>Методы</title><p>Методы. Предложен новый подход к синтезу оптимального радиационного режима роста растений, базирующийся на методологии оптимизации изоморфно- голономных систем. Основу предлагаемого метода синтеза радиационного режима роста растений составляет учет суммарной радиации, поступающей сверху на крону растения. Особенность этого подхода заключается в поиске минимума той части внешне поступающей фотосинтетически активной радиации, которая достигает почвы и не тратится на фотосинтез при условии гарантированного производства исходно заданного продукта. Сформулирована оптимизационная задача достижения экстремальной величины суммарной радиации, поступающей извне в почву, в виде задачи безусловной вариационной оптимизации с общим целевым функционалом оптимизации. Дано примерное решение оптимизационной задачи, при которой целевой функционал достигает минимума, т.е. максимальное количество внешней радиации расходуется на процесс фотосинтеза.</p></sec><sec><title>Результаты</title><p>Результаты. Получено решение, при котором целевой функционал достигает минимума, т.е. максимальное количество внешней радиации расходуется на процесс фотосинтеза. Показано, что применение известного способа безусловной вариационной оптимизации при гарантированной заданной величине GPP позволяет определить оптимальный радиационный режим роста растений.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Relevance</title><p>Relevance. Based on satellite remote sensing data, it has been suggested that there is a linear relationship between NDVI and FPAR. However, the significant influence of seasonal factors of a particular ecosystem on this relationship creates uncertainty in the assessment of plant productivity by remote sensing. This uncertainty in the estimates of total grown products (GPP) by the indicator calculated as the ratio of GPP to photosynthetically active radiation absorbed by vegetation can be explained by daily changes in incoming optical radiation both in composition and magnitude. It is shown that the GPP indicator can be determined indirectly by calculating the extremum of the heat flow of the soil coming from the outside.</p></sec><sec><title>Methods</title><p>Methods. A new approach to the synthesis of the optimal radiation regime of plant growth based on the methodology of optimization of isomorphic-holonomic systems is proposed. The basis of the proposed method for the synthesis of the radiation regime of plant growth is taking into account the total radiation coming from above to the crown of the plant, the peculiarity of this approach is to find a minimum of that part of the externally incoming photosynthetically active radiation that reaches the soil and is not spent on photosynthesis, provided that the production of the initially specified product is guaranteed. The optimization problem of achieving an extreme value of the total radiation coming from outside into the soil is formulated in the form of an unconditional variational optimization problem with a common target optimization functional. An approximate solution of the optimization problem is given, in which the target functional reaches a minimum, i.e. the maximum amount of external radiation is spent on the photosynthesis process.</p></sec><sec><title>Results</title><p>Results. A solution is obtained at which the target functional reaches a minimum, i.e. the maximum amount of external radiation is spent on the photosynthesis process. It is shown that the application of the known method of unconditional variational optimization with a guaranteed given value of GPP allows us to determine the optimal radiation regime of plant growth.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>радиационная модель</kwd><kwd>оптимизация</kwd><kwd>рост растений</kwd><kwd>фотосинтез</kwd><kwd>фотосинтетически активная радиация</kwd><kwd>излучение</kwd><kwd>модель</kwd></kwd-group><kwd-group xml:lang="en"><kwd>radiation model</kwd><kwd>optimization</kwd><kwd>plant growth</kwd><kwd>photosynthesis</kwd><kwd>photosynthetically active radiation</kwd><kwd>radiation</kwd><kwd>model</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">Feng Zhang, Guangsheng Zhou and Christer Nilsson. Remote estimation of the fraction of absorbed photosynthetically active radiation for a maize canopy in Northeast China. Journal of Plant Ecology - 2015. Vol. 8. No.4, pp. 429-435.</mixed-citation><mixed-citation xml:lang="en">Feng Zhang, Guangsheng Zhou and Christer Nilsson. Remote estimation of the fraction of absorbed photosynthetically active radiation for a maize canopy in Northeast China. Journal of Plant Ecology - 2015. Vol. 8. No.4, pp. 429-435.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Field CB, Randerson JT, Malmström CM (1995) Global net primary production: combining ecology and remote sensing. Remote Sens Environ 51:74-88.</mixed-citation><mixed-citation xml:lang="en">Field CB, Randerson JT, Malmström CM (1995) Global net primary production: combining ecology and remote sensing. Remote Sens Environ 51:74-88.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang F., Zhou G, Wang Y (2008) Dynamics simulation of net primary productivity by a satellite data-driven CASA model in Inner Mongolian typical steppe, China. J Plant Ecol 32:786-97.</mixed-citation><mixed-citation xml:lang="en">Zhang F., Zhou G, Wang Y (2008) Dynamics simulation of net primary productivity by a satellite data-driven CASA model in Inner Mongolian typical steppe, China. J Plant Ecol 32:786-97.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Vina A, Gitelson AA (2005) New developments in the remote estimation of the fraction of absorbed photosynthetically active radiation in crops Geophys Res Lett 32:L17403.</mixed-citation><mixed-citation xml:lang="en">Vina A, Gitelson AA (2005) New developments in the remote estimation of the fraction of absorbed photosynthetically active radiation in crops Geophys Res Lett 32:L17403.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Fensholt R, Sandholt I, Rasmussen MS (2004) Evaluation of MODIS LAI, fAPAR and the relation between fAPAR and NDVI in a semiarid environment using in situ measurements. Remote Sens Environ 91:490-507.</mixed-citation><mixed-citation xml:lang="en">Fensholt R, Sandholt I, Rasmussen MS (2004) Evaluation of MODIS LAI, fAPAR and the relation between fAPAR and NDVI in a semiarid environment using in situ measurements. Remote Sens Environ 91:490-507.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Hiroki Iwata, Masahito Ueyama, Chie Iwama, Yoshinobu Harazono. A variation in the fraction of absorbed photosynthetically active radiation and a comparison with MODIS data in burned black spruce forests of interior Alaska. Polar Science 7 (2013) 113-124. http://ees.elsevier.com/polar</mixed-citation><mixed-citation xml:lang="en">Hiroki Iwata, Masahito Ueyama, Chie Iwama, Yoshinobu Harazono. A variation in the fraction of absorbed photosynthetically active radiation and a comparison with MODIS data in burned black spruce forests of interior Alaska. Polar Science 7 (2013) 113-124. http://ees.elsevier.com/polar</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Anatoly A. Gitelson, Yi Peng, Timothy J. Arkebauer, and Andrew E. Suyker. Productivity, absorbed photosynthetically active radiation, and light use efficiency in crops: Implications for remote sensing of crop primary production. Published in Journal of Plant Physiology 177 (2015), pp. 100-109; doi 10.1016/j. jplph.2014.12.015.</mixed-citation><mixed-citation xml:lang="en">Anatoly A. Gitelson, Yi Peng, Timothy J. Arkebauer, and Andrew E. Suyker. Productivity, absorbed photosynthetically active radiation, and light use efficiency in crops: Implications for remote sensing of crop primary production. Published in Journal of Plant Physiology 177 (2015), pp. 100-109; doi 10.1016/j. jplph.2014.12.015.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Mo, X., Liu, S., Lin, Z., Zhao, W., 2004. Simulating temporal and spatial variation of evapotranspiration over the Luch Basin. J. Hydrol. 285 (1-4), 125-142.</mixed-citation><mixed-citation xml:lang="en">Mo, X., Liu, S., Lin, Z., Zhao, W., 2004. Simulating temporal and spatial variation of evapotranspiration over the Luch Basin. J. Hydrol. 285 (1-4), 125-142.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">X. Mo, S. Liu, Z. Lin, Y.Xu, Y.Xiang, T.R. McVicar. Prediction of crop yield, water consumption and water use efficiency with a SVAT-crop growth model using remotely sensed data on the North China Plain / Ecological Modeling 183 (2005) 301-322.</mixed-citation><mixed-citation xml:lang="en">X. Mo, S. Liu, Z. Lin, Y.Xu, Y.Xiang, T.R. McVicar. Prediction of crop yield, water consumption and water use efficiency with a SVAT-crop growth model using remotely sensed data on the North China Plain / Ecological Modeling 183 (2005) 301-322.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Асадов Х.Г., Абдуллаева С.Н., Тарвердиева У.Х. Метод саризационной оптимизации голономных информационно – измерительных и мехатронных систем. «Вестник ПНЦПУ. Электротехника. Информатика. Системы управления». 2020, №35, стр.169-179.</mixed-citation><mixed-citation xml:lang="en">Asadov Kh.G., Abdullaeva S.N., Tarverdieva U.Kh. Sarization optimization method for holonomic information-measuring and mechatronic systems. Bulletin of PNTsPU. Electrical engineering. Informatics. Control systems”. 2020, No. 35, pp. 169-179. (in Russ)</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Асадов Х.Г., Абдуллаева С.Н., Тарвердиева У.Х. Вопросы оптимизации изоморфно информационно – измерительных систем. «Известия Вузов. Электромеханика». 2020, Т.63, №6, стр.51-56.</mixed-citation><mixed-citation xml:lang="en">Asadov H.G., Abdullaeva S.N., Tarverdieva U.Kh. Issues of optimization of isomorphic information-measuring systems. “Izvestiya Vuzov. Electromechanics. 2020, Vol.63, No.6, pp.51-56. (in Russ)</mixed-citation></citation-alternatives></ref></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>
