Statistical modelling in stochastic problems of the atmosphere and ocean optics

B. A. Kargin

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 395-410.

Résumé

The paper deals with some aspects of application of statistical modelling for the solution of two stochastical problems of the atmosphere and ocean optics: the optical radiation transfer in the stochastical cloudiness and in the ocean-atmosphere system with allowance for the oceanic surface perturbations. The statements of problems are presented. Some actual applications are discussed.

Bibliographie

[1] Marchuk G. I., Mikhailov G. A., “O reshenii zadach atmosfernoi optiki metodom Monte-Karlo”, Izv. AN SSSR. Fizika atmosfery i okeana, 3:3 (1967), 258–273

[2] Marchuk G. I., Mikhailov G. A., “Rezultaty resheniya nekotorykh zadach atmosfernoi optiki metodom Monte-Karlo”, Izv. AN SSSR. Fizika atmosfery i okeana, 3:4 (1967), 394–401

[3] Marchuk G. I., Mikhailov G. A., Nazaraliev M. A., Darbinyan P. A., Reshenie pryamykh i nekotorykh obratnykh zadach atmosfernoi optiki metodom Monte-Karlo, Nauka, Novosibirsk, 1968

[4] Sushkevich T. A., Strelkov S. A., Ioltukhovskii A. A., Metod kharakteristik v zadachakh atmosfernoi optiki, Nauka, M., 1990 | MR | Zbl

[5] Sushkevich T. A., Ob uchete zemnoi poverkhnosti v modelyakh radiatsionnogo polya Zemli, Preprint IPM imeni M. V. Keldysha RAN; 3, M., 1999

[6] Marchuk G. I., Mikhailov G. A., Nazaraliev M. A., Darbinyan P. A., Kargin B. A., Blepov B. C., Metod Monte-Karlo v atmosfernoi optike, Nauka, Novosibirsk, 1974 | Zbl

[7] Mikhailov G. A., Optimization of weighted Monte Carlo Methods, Springer, Berlin–Heidelberg, 1991 | MR

[8] Kargin B. A., Statisticheskoe modelirovanie polya solnechnoi radiatsii v atmosfere, VTs SO AN SSSR, Novosibirsk, 1984

[9] Ermakov S. M., Mikhailov G. A., Statisticheskoe modelirovanie, Nauka, M., 1982 | MR

[10] Mikhailov G. A., “Chislennoe postroenie sluchainogo polya s zadannoi spektralnoi plotnostyu”, Dokl. AN SSSR, 283:3 (1978), 793–795 | MR

[11] Mikhailov G. A., “Modelirovanie sluchainykh protsessov i polei na osnove tochechnykh potokov Palma”, Dokl. AN SSSR, 262:3 (1982), 531–535 | MR

[12] Mikhailov G. A., “Priblizhennye modeli sluchainykh protsessov i polei”, Zhurn. vychisl. matematiki i mat. fiziki, 23:3 (1983), 558–566 | MR

[13] Ogorodnikov V. A., Prigarin S. M., Numerical Modelling of Random Processes and Fields: Algorithms and Applications, VSP, Utrecht–Tokyo, 1996 | MR | Zbl

[14] Prigarin S. M., Spectral Models of Random Fields in Monte Carlo Methods, VSP, Utrecht–Tokyo, 2001

[15] Ku-Nan Liou, Osnovy radiatsionnykh protsessov v atmosfere, Gidrometeoizdat, L., 1984

[16] Goody R. M., Yung Y. L., Atmospheric Radiation, Oxford University Press, 1989

[17] Zuev V. E., Titov G. A., Optika atmosfery i klimat, Izd-vo Spektr, Tomsk, 1996

[18] Nazaraliev M. A., Statisticheskoe modelirovanie radiatsionnykh protsessov v atmosfere, Nauka, Novosibirsk, 1990 | Zbl

[19] Kargin B. A., “Chislennaya model polya solnechnoi radiatsii v aerozolnoi atmosfere”, Optika atmosfery i okeana, 7:8 (1994), 1112–1119

[20] Curren P. J., Foody S. M., Kondratyev K. Ya., Kozoderov V. V., Fedchenko P. P., Remote sensing of soils and vegetation in the USSR, Taylor Francis, London–New York–Philadelphia, 1990

[21] Kienko Yu. P., Vvedenie v kosmicheskoe prirodovedenie i kartografirovanie, Geodezizdat, M., 1994

[22] V. A. Sadovnichii (red.), Kosmicheskoe zemlevedenie: informatsionno-matematicheskie osnovy, Izd-vo MGU, M., 1998

[23] Astafurov V. T., “Osobennosti obnaruzheniya ochagov lesnykh pozharov pri razorvannoi oblachnosti”, Optika atmosfery i okeana, 12:3 (1999), 262–267 | MR

[24] Astafurov V. T., Belov V. V., “Vozmozhnosti obnaruzheniya ochagov lesnykh pozharov v dnevnoe vremya iz kosmosa pri razorvannoi oblachnosti. 4.2. Chislennyi eksperiment”, Optika atmosfery i okeana, 14:2 (2001), 156–160

[25] Kargin B. A., Lavrentev A. E., Prigarin S. M., “Sistema avtomatizatsii statisticheskogo modelirovaniya radiatsionnogo polya atmosfery”, Optika atmosfery i okeana, 12:3 (1999), 238–245

[26] Mikhailov G. A., Troinikov B. C., “Modelirovanie sluchainykh polei pri reshenii stokhasticheskikh zadach metodom Monte-Karlo (svoistva realizatsii)”, Aktualnye problemy vychislitelnoi i prikladnoi matematiki, VTs SO AN SSSR, Novosibirsk, 1983, 122–127

[27] Troinikov B. C., Algoritmy statisticheskogo modelirovaniya dlya izucheniya radiatsionnykh protsessov v oblakakh, Dis. $\dots$ kand. fiz.-mat. nauk, VTs SO AN SSSR, Novosibirsk, 1984

[28] Kargin B. A., Statisticheskoe modelirovanie polya opticheskogo izlucheniya v atmosfere i okeane, Dis. $\dots$ dokt. fiz.-mat. nauk, VTs SO AN SSSR, Novosibirsk, 1985

[29] Prigarin S. M., Zhuravleva T. B., Volikova P. V., “Puassonovskaya model mnogosloinoi razorvannoi oblachnosti”, Optika atmosfery i okeana, 15:10 (2002), 917–924

[30] Mikhailov G. A., Serednyakov A. C., “Chislennye i asimptoticheskie otsenki vliyaniya razmernosti modeli stokhasticheskoi sredy na otsenki perenosa izlucheniya”, Optika atmosfery i okeana, 10:3 (1997), 201–210

[31] E. M. Feigelson (red.), Radiatsiya v oblachnoi atmosfere, Gidrometeoizdat, L., 1981

[32] Kargin B. A., Prigarin S. M., “Numerical modelling of random fields in stochastic problems of atmosphere-ocean optics”, Russian J. Numer. Anal. Math. Modell., 11:4 (1996), 323–341 | DOI | Zbl

[33] Plank V. G., “The size distribution of cumulus clouds in representative Florida populations”, J. Appl. Meteor., 8:1 (1969), 46–67 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[34] Shertzer D., Lovejei S., Non-liniar variabibity in geophysics: analysis and simulation. Fractals, ed. L. Pietronero, Plenum Press, 1990

[35] Titov G. A., Zhuravleva T. E., “Parametrizatsiya potokov solnechnoi radiatsii v razorvannoi oblachnosti”, Optika atmosfery i okeana, 10:7 (1997), 707–721

[36] Zhuravleva T. B., Anisimova E. M., “Baza dannykh “Chislennaya radiatsionnaya model odnosloinoi razorvannoi oblachnosti””, Optika atmosfery i okeana, 15:8 (2002), 699–701

[37] Plass G. N., Kattawar G. W., “Radiative Transfer in an Atmosphere-Ocean System”, Appl. Optics, 8:2 (1969), 455–466 | DOI

[38] Dzhetybaev E. O., Kargin B. A., “Primenenie statisticheskogo modelirovaniya v zadache opticheskogo zondirovaniya sistemy atmosfera-okean”, Aktualnye problemy prikladnoi matematiki i matematicheskogo modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1982, 83–91

[39] Kargin B. A., “O statisticheskom modelirovanii vzaimodeistviya opticheskogo izlucheniya s vzvolnovannoi poverkhnostyu morya”, Modelirovanie volnovykh polei (matematicheskie problemy geofiziki), VTs SO AN SSSR, Novosibirsk, 1983, 25–40

[40] Kanter P. P., Prigarin S. M., Chislennoe modelirovanie morskogo vetrovogo volneniya dlya issledovaniya polya otrazhennogo opticheskogo izlucheniya, Novosibirsk, 1989 | Zbl

[41] Kargin B. A., Rakimgulov K. B., “A weighting Monte Carlo method for modelling the optical radiation field in the ocean-atmosphere system”, Russ. J. Numer. Anal. Math. Modelling, 7:3 (1992), 221–240 | DOI | MR | Zbl

[42] Dzhetybaev E. O., Kargin B. A., “O nablyudenii vnutrennikh voln v okeane”, Issl. Zemli iz kosmosa, 1983, no. 1, 84–87

[43] Pirson V. Dzh., “Vetrovye volny”, Vetrovye volny, M.-L., 1962, 42–124

[44] Mobley C. D., Gentili B. at al., “Comparison of numerical models for computimg underwater light fields”, Appl. Optics, 32:36 (1993), 7484–7504 | DOI

[45] Cox C., Munk M., “Statistics of the sea surface derived from sun glitter”, J. Mar. Res., 13 (1954), 198–227

[46] Lazarev A., Sevastyanov V., Nauka i zhizn, 1987, no. 9, 27–32

[47] Dolin L. S., Levin I. M., “Ob effekte uvelicheniya dalnosti vidimosti podvodnykh ob'ektov pri pod'eme nablyudatelya nad poverkhnostyu vody”, Optika atmosfery i okeana, 5:8 (1992), 840–842