Abstract
Verifying mathematical models of contaminant propagation in the boundary layer of the atmosphere by an experimental material or by observational data (estimating the adequacy of the model) is an important stage of creating such models. However, the impossibility of repeating an experiment under unchanged meteorological conditions and, as a consequence, the small size of the measurement data sample do not allow one to estimate the adequacy in a correct way. A new integral-transform-based method for estimating the adequacy of mathematical models is proposed. It can be used even in cases when only single measurements of concentration are available (among them, with different distribution functions at each point of the space). Data of individual experiments performed in different meteorological conditions can be combined. The efficiency of the method is illustrated by an example.
Similar content being viewed by others
References
M. E. Berlyand, Forecast and Control of Atmospheric Pollution (Gidrometeoizdat, Leningrad, 1985) [in Russian].
S. K. Godunov, and V. S. Ryaben’kii, Differential Schemes (Nauka, Moscow, 1973) [in Russian].
V. V. Penenko and A. E. Aloyan, Models and Methods for Problems of Environmental Control (Nauka, Novosibirsk, 1985) [in Russian].
H. Jonson and F. Lion, Statistics and Planning of Experiments in Science and Engineering (Mir, Moscow, 1980) [in Russian].
D. J. Hudson, Statistics for Physicians (Mir, Moscow, 1967) [in Russian].
B. M. Desyatkov, S. S. Kotlyarova, A. M. Nikonov, and Yu. S. Pavlenko, “Comparison of theoretical and experimental values of integral concentrations and density of sediments during processing BCWS fields,” in Proc. of Industry Workshop “Biological and Engineering Problems of Development of Virus Products for Plant Protection,” Koltsovo, Novosibirsk reg., September 25–29, 1989, p. 72 [in Russian].
B. M. Desyatkov, S. R. Sarmanaev, and A. I. Borodulin, “Numerical-analytical model of the aerosol transport in a thermally stratified boundary layer of the atmosphere,” Atmos. Ocean. Opt. 9(6), 517–520 (1996).
A. I. Borodulin and B. M. Desyatkov, Simulation of Pollutant Propagation in the Boundary Air Layer (NGU, Novosibirsk, 2007) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Zhukov, B.M. Desyatkov, N.A. Lapteva, 2014, published in Optica Atmosfery i Okeana.
Rights and permissions
About this article
Cite this article
Zhukov, V.A., Desyatkov, B.M. & Lapteva, N.A. Application of a new statistical method for estimating the adequacy of models of contaminant propagation in the boundary layer of the atmosphere. Atmos Ocean Opt 27, 218–221 (2014). https://doi.org/10.1134/S1024856014030130
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1024856014030130