World Journal of Environmental Engineering
ISSN (Print): 2372-3076 ISSN (Online): 2372-3084 Website: Editor-in-chief: Apply for this position
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World Journal of Environmental Engineering. 2015, 3(1), 1-6
DOI: 10.12691/wjee-3-1-1
Open AccessArticle

Interpolation of Climatic Parameters By Using Barycentric Coordinates

Khurshidbek MAKHMUDOV1, , Yasuhiro MITANI1 and Tetsuya KUSUDA1

1Department of Civil Engineering, Graduate School of Engineering, Kyushu Univ., 774 Motooka, Nishi-ku, Fukuoka 819-0395 JAPAN

Pub. Date: February 12, 2015

Cite this paper:
Khurshidbek MAKHMUDOV, Yasuhiro MITANI and Tetsuya KUSUDA. Interpolation of Climatic Parameters By Using Barycentric Coordinates. World Journal of Environmental Engineering. 2015; 3(1):1-6. doi: 10.12691/wjee-3-1-1


In this paper, we propose a new method of interpolation of climatic parameters territory spread values point measurements of meteorological data on the territories of its space. The method is based on the representation of territories affected by hydro-meteorological stations as the mechanical integrity of the system, consisting of a set of material particles having a common centre of motion. An example of such a centre is known in practice barycenter (center of pressure). Similarity features of change in the value space of meteorological parameters:pressure, rainfall, humidity and other parameters allowed us to develop an interpolation method, based on the well -known method of classical mechanics, a method for finding centers systems. Centers Systems: barycenter, center humidity, precipitation, etc., are reference points from which climate data set gradients (gradient is a vector indicating the direction of change of a scalar quantity. The pressure, rainfall, temperature and humidity are known as scalars). Gradients and equation are describing the basis methods for the proposed interpolation. Graphical method of calculations carried applicability straight-line equation for the interpolation of climate data. The method is entirely based on the use of proven analytical dependences and therefore reliable results. Calculations are made with specific parameters for the territory of the proposed method and the results of their tests are set to points to the checked area. Humidity value for the calculated period (average statistical value according to meteorological stations) is taken 72.25%, while the real value according to the results of our estimations is 59.34%. In this instance the climate accuracy value is used by 17.4%. For the atmospheric pressure value, error currently used in pressure standards which is estimated (assessed) during this period is 5.7%. Our proposed method contributes with sufficiently high accuracy set the values of the climatic parameters of the territory at any point.

barycentre centre humidity precipitation evaporation

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[1]  I. Blyutgen, Geography climates, 2nd ed. Moscow, Russia: Progress, 1973, p. 402
[2]  M. A. German, Space methods of research in meteorology. Leningrad, Russia: Gidrometeoizdat, 1985, p. 310
[3]  V.F. Zhuravlev, Foundations of Theoretical Mechanics, 2nd ed. Moscow. Russia: FIZMATLIT, 2001, p 23.
[4]  M. Valipour, "Comparative Evaluation of Radiation-Based Methods for Estimation of Potential Evapotranspiration." J. Hydrol. Eng., 04014068., Sept.19, 2014.
[5]  Phillips N.A., A coordinate system having some special advantages for numerical forecasting, J.Meteorol, 1957.-N14.-PP.J. Padhye.
[6]  M. Valipour,“Analysis of potential evapotranspiration using limited weather data”, J. Applied Water Science, Springer Berlin Heidelberg, Sept.27, 2014.
[7]  E. N. Lorenz, Nature and the theory of the general circulation of the atmosphere. Leningrad, Russia: Gidrometeoizdat, 1970, p. 259.
[8]  "Atmosphere". Directory. Leningrad, Russia: Gidrometeoizdat, 1991, p. 510.
[9]  V. Petrov, H. Egamberdiev, B. Kholmatzhonov, T. Alaudinov. Meteorology. Tashkent, Uzbekistan: NUU, 2006, p. 330.
[10]  L.A. Khandozhko, Meteorological Service of the economy. Leningrad, Russia: Gidrometeoizdat, 1981, p. 232.
[11]  E. I. Zielinski, Data interpolation methods. Dnepropetrovsk, Ukraine: National Mining University, 1998.
[12]  Zhuravlev VF Foundations of theoretical mechanics. 2nd ed. - M.: Fizmatlit, 2001. - 320.