Abstract
Earlier the authors have developed a stochastic geometric model for extratropical cyclonic precipitation fields at synoptic and meso scales as they are typically observed by weather radars over the mainland U S A (see Kavvas and Puri 1983; Kavvas et al. 1987). Here the earlier mathematical development of the model is further extended by incorporating the stochastic description of cyclone center births and their evolutions over U S A into the model.
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References
Anderson, T.W.; Goodman, L.A. 1957: Statistical inference about Markov chains. Ann. Math. Stat. 28, 89–110
Austin, P.M.; Houze, R.A. Jr. 1972: Analysis of the structure of precipitation patterns in New England. J. Appl. Meteor. 11, 926–935
Battan, L.B. 1973: Radar observation of the atmosphere. Chicago: University of Chicago Press
Georgakakos, K.P.; Kavvas, M.L. 1987: Precipitation analysis, modeling and prediction in hydrology. Rev. Geophys. 25 (2), 163–178
Hobbs, P.M. 1978: Organization and structure of clouds and precipitation on the mesoscale and microscale in cyclonic storms. Rev. Geophys. and Space Phys. 16 (4), 741–755
Hobbs, P.V.; Locatelli, J.D. 1978: Rainbands, precipitation cores and generating cells in a cyclonic storm. J. Atmos. Sci. 35, 230–241
Houze, R.A.; Hobbs, P.V.; Biswas, K.R.; Davis, W.M. 1976: Mesoscale rainbands in extratropical cyclones. Mon. Weather Rev 104, 868–878
Houze, R.A.; Hobbs, P.V. 1982: Organization and structure of precipitating cloud systems. Adv. in Geophys. 24, 225–315
Kavvas, M.L.; Puri, P.S. 1983: A stochastic model of the extratropical cyclonic precipitation field formed around a low pressure center. EOS 64 (18), 221
Kavvas, M.L.; Herd, K.R. 1985: A radar-based stochastic model for short-time-increment rainfall. Water Resour. Res. 21 (9), 1437–1455
Kavvas, M.L.; Puri, P.S.; Saquib, M.N. 1987: On a stochastic desciption of the time-space behavior of extratropical cyclonic precipitation fields. Stochastic Hydrol. Hydraul 1, 37–52
Pawitan, H. 1980: Synthetic generation of rainfall fields in Northern California. M.Sc. Thesis, Dept. of Civil Eng., Uni. California, Davis
Zawadski, I. 1973: Statistical properties of precipitation patterns.J. Appl. Meteor. 12, 459–472
Zishka, K.M.; Smith, P.J. 1980: The climatology of cyclones and anticyclones over North America and surrounding ocean environs for January and July, 1950–1977. Mon. Weather Rev. 108 (4), 387–401
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Kavvas, M.L., Puri, P.S. & Saquib, M.N. Analytical extensions on a stochastic description of Cyclonic precipitation fields in time and space. Stochastic Hydrol Hydraul 2, 263–279 (1988). https://doi.org/10.1007/BF01544040
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DOI: https://doi.org/10.1007/BF01544040