Mathematical modeling of the seasonal changes of phytoplankton growth in the water intake„Vidsichne” of the river teteriv

Authors

  • Ела Олександрівна Аристархова Zhytomyr National Agroecological University Blvd Stary, 7, Zhytomyr, Ukraine, 10008, Ukraine
  • Ігор Анатолійович Пількевич Zhytomyr National Agroecological University Blvd Stary, 7, Zhytomyr, Ukraine, 10008, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.14761

Keywords:

phytoplankton, seasonal changes, anthropogenic eutrophication, "bloom" of water, mathematical model

Abstract

Despite the wide application of mathematical modeling to determine the characteristics of phytoplankton growth in basins, until now there had not been created sound mathematical models that would take into account the diversity of groups of planktonic algae for the basins of the river Teterev. Based on the research conducted in 2006-2008 the article approximates the growth of six groups of phytoplankton of water intake "Vidsichne" using the polynomial of the 6th degree and the basic criteria of the adequacy of mathematical models. The method of consolidation of intervals and replacement of the original number by medium-range intervals was applied in the research.

To construct mathematical models the smoothing using moving average was carried out. As a result of processing of the data the major pathogens of "bloom" of water among groups of planktonic algae were revealed and the most dangerous periods of water pollution with their metabolites were identified. The research provided mathematical models that describe the dynamics of the growth of phytoplankton in the water intake, and multiple correlation coefficients, indicating the adequacy of these models

Author Biographies

Ела Олександрівна Аристархова, Zhytomyr National Agroecological University Blvd Stary, 7, Zhytomyr, Ukraine, 10008

Candidate of biological Sciences, the senior lecturer

Chair of monitoring of surrounding environment

Ігор Анатолійович Пількевич, Zhytomyr National Agroecological University Blvd Stary, 7, Zhytomyr, Ukraine, 10008

Doctor of technical Sciences, professor, the managing chair

Chair of monitoring of surrounding environment

References

  1. Топачевский, А.В. Пресноводные водоросли Украинской ССР [Текст] / А.В. Топачевский, Н.П. Масюк. – К. : Вища шк. Головное изд-во, 1984. – 336 с.
  2. Shcherbak, V.I. Phytoplancton as a Model Object of Evaluating the Influence of Power Complexes on Water Ecosystems [Текст] / V.I. Shcherbak // Engineering Simulation. – 1999, Vol. 16, Р. 513-519.
  3. Романенко, В.Д. Основы гидроэкологии : учебник для вузов [Текст] / В.Д. Романенко. – К. : Генеза, 2004. – 664 с.
  4. Масюк, Н.П. Водорості в системі органічного світу : монографія [Текст] / Н.П. Масюк, І.Ю. Костіков. – К. : Академперіодика, 2002. – 178 с.
  5. Хоружая, Т.А. Глобальная экология : учебное пособие [Текст] / Т.А. Хоружая, А.М. Никаноров. – М. : Изд-во „Книга сервис”, 2003. – 288 с.
  6. Ken O. Buesseler Chernobyl: Oceanographic Studies in the Black Sea [Текст] / O. Ken // Oceanus. – 1987, 30, № 3. – P. 23-30.
  7. Эрхард, Ж.П. Планктон. Состав, экология, загрязнение [Текст] / Ж.П. Эрхард, Ж. Сежен. – пер. с фр. – Л. : Гидрометеоиздат, 1984. – 256 с.
  8. Герасименко, С.С. Статистика : підручник [Текст] / [С.С. Герасименко, А.В. Головач, А.М. Єріна та ін.; за наук. ред. д-ра екон. наук С.С. Герасименка]. – 2-ге видання, перероблене і доповнене. – К. : КНЕУ, 2000. – 467 с.
  9. Вища математика : підручник. У 2 ч. Ч.2 : Диференціальні рівняння. Операційне числення. Ряди та їх застосування. Стійкість за Ляпуновим. Рівняння математичної фізики. Оптимізація і керування. Теорія ймовірності. Числові методи [Текст] / [За заг. ред. П.П. Овчинникова; пер. з рос. Є.В. Бондарчук, Ю.Ю. Костриці, Л.П. Оніщенко]. – 3-тє видання, виправлене. – К. : Техніка, 2004. – 792 с.
  10. Григорків, В.С. Моделювання еколого-економічної взаємодії : навч. посібник [Текст] / В.С. Григорків. – Чернівці : Рута, 2007. – 84 с.
  11. Topachevsky, A.V., Masiuk, N.P. (1984). Freshwater algae of the Ukrainian Soviet Socialist Republic, Kiev: Vyssha shkola, Head of publishing house, 336 p.
  12. Shcherbak, V.I. (1999). Phytoplancton as a Model Object of Evaluating the Influence of Power Complexes on Water Ecosystems. Engineering Simulation,
  13. Vol. 16, Р. 513-519.
  14. Romanenko, V.D. (2004). The fundamentals of hydro-ecology [Heat transfer], Kiev: Heneza, 664 p.
  15. Masiuk, N.P., Kostikov, I.Yu. (2002). Algae in the system of the organic world [monograph], Kiev: Academic periodicals, 178 p.
  16. Khoruzhaia, T.A., Nikanorov, A.M. (2003). Global ecology [Manual], Moscow: Publishing House „Kniga servis”, 288 p.
  17. Ken, O. (1987). Buesseler Chernobyl: Oceanographic Studies in the Black Sea. Oceanus, 30, № 3, P. 23-30.
  18. Yerkhard, Zh.P., Sezhen, Zh. (1984). Plankton. Composition, ecology, pollution [Translation from French], Leningrad: Gidrometeoizdat, 256 p.
  19. Herasimenko, S.S., Holovach, A.V., Yerina, A.M. (2000). Statistics [Tutorial], Kiev: KNEU, 467 p.
  20. Ovchinikov, P.P., Bondarchuk, Ye.V., Kostrytsia, Yu.Yu., Onishchenko, L.P. (2004). Higher mathematics. In 2 hours. Part 2: Differential equations. Operational calculus. Series and their application. The stability of the Lyapunov. The equations of mathematical physics. Optimization and control. The theory of probability. Numerical methods [Tutorial], Kiev: Technique, 792 p.
  21. Hryhorkiv, V.S. (2007). Modelling of ecological and economical interaction [Tutorial], Chernivtsi: Ruta, 84 p.

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Published

2013-06-19

How to Cite

Аристархова, Е. О., & Пількевич, І. А. (2013). Mathematical modeling of the seasonal changes of phytoplankton growth in the water intake„Vidsichne” of the river teteriv. Eastern-European Journal of Enterprise Technologies, 3(4(63), 36–39. https://doi.org/10.15587/1729-4061.2013.14761

Issue

Vol. 3 No. 4(63) (2013): Mathematics and cybernetics - fundamental ans applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2014 Ела Олександрівна Аристархова, Ігор Анатолійович Пількевич

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