Algorithms of Multifactorial Regression Modeling in Ecological and Hygienic Studies

Antonomov, M.Yu. and Shevchenko, A.A. and Kulagin, A.A. (2017) Algorithms of Multifactorial Regression Modeling in Ecological and Hygienic Studies. Кибернетика и вычислительная техника, № 4 (190). pp. 56-73. ISSN 2519-2205 (Online), ISSN 0454-9910 (Print)

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Abstract

Introduction. One of the most urgent problems of environmental health is soil contamination by oil and petroleum products (PP) and its impact on crop productivity and population health. The main task here is to determine the acceptable or safe concentrations of PP in the soil. However, at present time there is no unified approach of PP regulating in different countries. One possible solution of the problem is mathematical modeling of the results of experimental studies. With the help of mathematical models, it becomes possible not only to describe the investigated dependencies, but also to calculate safe levels of PP in the soil. The purpose of the paper is to develop a methodology for constructing and using multi­factor nonlinear regression models from data obtained in a real ecological and biological experiment. Results. The article presents the results of an experimental study of the influence of one type ofpetroleum products — diesel fuel, when it enters the soil to germinate one of the most important crops — wheat. It is shown that the mathematical model describing the suppres sion of wheat growth should be a multifactorial function ("time — concentration — effect"), which has a nonlinear character. An algorithm for constructing multifactorial nonlinear regression models is proposed. On the basis of experimental data, an adequate multifactor nonlinear mathematical model was developed. This made it possible to calculate the thresh­ old concentration of diesel fuel, which does not affect the growth of wheat. Conclusion. On the basis of the proposed algorithm from experimental data an ade­quate multifactor nonlinear regression model was constructed. With the help of this model, the concentration of diesel fuel that does not cause a negative effect on the growth of wheat was calculated.

Item Type: Article
Additional Information: DOI: https://doi.org/10.15407/kvt190.04.056
Uncontrolled Keywords: petroleum products, environmental contamination, threshold concentration, mathematical modeling, nonlinear multifactor regression models.
Subjects: Health and environment
Divisions: Departments > Department of Hygiene and Ecology
Depositing User: Анастасия Жигар
Date Deposited: 05 Dec 2019 13:39
Last Modified: 05 Dec 2019 13:39
URI: http://repo.dma.dp.ua/id/eprint/4643

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