Vol. 27, issue 01, article # 3
Zhukov V. A., Desyatkov B. M., Lapteva N. A. A new statistical method for assessment of adequacy of models of admixture distribution in the boundary air layer. // Optika Atmosfery i Okeana. 2014. V. 27. No. 01. P. [in Russian].Copy the reference to clipboard
Abstract:
An important stage of creating mathematical models of aerosol distribution in the boundary air layer is to check their validity using the data of experimental measurements. However, the impossibility of repeating the experiments under the invariable weather conditions (with the resulting small sample size of the measurements) does not allow one to estimate model adequacy correctly.
A new method of the assessment of adequacy of mathematical models based on an integral transform is proposed in this work. The method can be used even when there are only one-time measurements of concentration, including those with various laws of distribution at each point of space. It is quite possible to combine these separate experiments made under various weather conditions. The efficiency of the method is illustrated by an example.
Keywords:
boundary air layer, admixture distribution, mathematical model, adequacy, integral transform
References:
1. Berljand M.E. Prognoz i regulirovanie zagrjaznenija atmosfery. L.: Gidrometeoizdat, 1985. 272 p.
2. Marchuk G.I. Matematicheskoe modelirovanie v probleme okruzhajushhej sredy. M.: Nauka, 1982. 320 p.
3. Penenko V.V., Alojan A.E. Modeli i metody dlja zadach ohrany okruzhajushhej sredy. Novosibirsk: Nauka, 1985. 256 p.
4. Dzhonson N., Lion F. Statistika i planirovanie jeksperimenta v tehnike i nauke. M.: Mir, 1980. 336 p.
5. Hudson D. Statistika dlja fizikov. M.: Mir, 1967. 298 p.
6. Desjatkov B.M., Kotljarova S.S., Nikonov A.M., Pavlenko Ju.S. Sravnenie teoreticheskih i jeksperimental'nyh znachenij integral'nyh koncentracij i plotnosti otlozhenij pri obrabotke polej BSZR: Materialy otraslevogo soveshhanija // Biologicheskie i tehnologicheskie problemy sozdanija virusnyh preparatov dlja integrirovannoj zashhity rastenij. Pos. Kol'covo, Novosibirskaja obl., 26–29 september 1989 year. P. 72.
7. Desjatkov B.M., Sarmanaev S.R., Borodulin A.I. Chislenno-analiticheskaja model' perenosa ajerozolja v termicheski stratificirovannom pogranichnom sloe // Optika atmosf. i okeana. 1996. V. 9, N 6. P. 815–820.
8. Borodulin A.I., Desjatkov B.M. Modelirovanie rasprostranenija primesej v atmosfernom pogranichnom sloe. Novosibirsk: NGU, 2007. 376 p.