Orographic influences on the multiscale statistical properties of precipitation

Journal of Geophysical Research: Atmospheres

Volumn 108, Issue 8, 2003, Pages

  Nykanen, Deborah K ^a   Harris, Daniel ^b  

^a MICHIGAN TECHNOLOGICAL UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Convective processes; Downscaling; Fractals and multifractals; Orographic; Precipitation (1854); Stochastic processes

Indexed keywords

CONVECTION; DOWNSCALING; FRACTAL ANALYSIS; OROGRAPHIC EFFECT; PRECIPITATION (CLIMATOLOGY); STATISTICAL ANALYSIS;

APPALACHIANS; BLUE RIDGE MOUNTAINS; NORTH AMERICA; UNITED STATES; VIRGINIA;

EID: 1642457185     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001jd001518     Document Type: Article

References (36)

1. Baeck, M. L., and J. A. Smith, Rainfall estimation by the WSR-88D for heavy rainfall events, Weather Forecasting, 13, 416-436, 1998.
2. Davis, A., A. Marshak, W. Wiscombe, and R. Cahalan, Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated, J. Geophys, Res., 99(D4), 8055-8072, 1994.
3. Davis, A., A. Marshak, W. Wiscombe, and R. Cahalan, Multifractal characterizations of intermittency in nonstationary geophysical signals and fields: A model based perspective on ergodicity issues illustrated with cloud data, in Current Topics in Nonstationary Analysis, edited by G. Treviño et al., pp. 97-158, World Sci., River Edge, N. J., 1996.
4. Feller, W., An Introduction to Probability Theory and Its Applications, vol. II, 626 pp., John Wiley, New York, 1966.
5. Gupta, V., and E. Waymire, A statistical analysis of mesoscale rainfall as a random cascade, J. Appl. Meteorol., 32, 251-267, 1993.
6. Harris, D., Multiscaling properties of rainfall: Methods and interpretation, Ph.D. dissertation, Univ. of Auckland, Auckland, New Zealand, 1998.
7. Harris, D., and E. Foufoula-Georgiou, Subgrid variability and stochastic downscaling of modeled clouds: Effects on radiative transfer computations for rainfall retrieval, J. Geophys. Res., 106(D10), 10,349-10,362, 2001.
8. Harris, D., M. Menabde, A. Seed, and G. Austin, Multifractal characterization of rain fields with a strong orographic influence, J. Geophys. Res., 101(D21), 26,405-26,414, 1996.
9. Harris, D., A. Seed, M. Menabde, and G. Austin, Factors affecting multiscaling analysis of rainfall time series, Nonlinear Proc. Geophys., 4(3), 137-156, 1997.
10. Harris, D., E. Foufoula-Georgiou, K. K. Droegemeier, and J. J. Levit, Multi-scale statistical properties of a high-resolution precipitation forecast, J. Hydrometeorol., 2(4), 406-418, 2001.
11. Harris, D., E. Foufoula-Georgiou, and C. Kummerow, Effects of under-represented hydrometeor variability and partial beam filling on microwave brightness temperatures for rainfall retrieval, J. Geophys. Res., 108(D8), 8380, doi:10.1029/2001JD001144, 2003.
12. Krajewski, W., E. N. Anagnostou, and G. J. Ciach, Effects of the radar observation process on inferred rainfall statistics, J. Geophys. Res., 101(D21), 26,493-26,502, 1996.
13. Kumar, P., and E. Foufoula-Georgiou, A multicomponent decomposition of spatial rainfall fields, I, Segregation of large- and small-scale features using wavelet transforms, Water Resour. Res., 29(8), 2515-2532, 1993a.
14. Kumar, P., and E. Foufoula-Georgiou, A multicomponent decomposition of spatial rainfall fields, 2, Self-similarity in fluctuations, Water Resour. Res., 29(8), 2533-2544, 1993b.
15. Landel, G., J. A. Smith, M. L. Baeck, M. Steiner, and F. L. Ogden, Radar studies of heavy convective rainfall in mountainous terrain, J. Geophys. Res., 104(D24), 31,451-31,465, 1999.
16. Lovejoy, S., and D. Schertzer, Multifractals and rain, in New Uncertainty Concepts in Hydrology and Hydrological Modeling, edited by A. W. Kundzewicz, pp. 61-103, Cambridge Univ. Press, New York, 1995a.
17. Lovejoy, S., and D. Schertzer, How bright is the coast of Brittany?, in Fractals in Geoscience and Remote Sensing, ECSC-EC-EAEC, edited by G. Wilkinson, I. Kanellopoulos, and J. Mègier, pp. 102-151, Inst. for Remote Sens. Appl., Brussels, Belgium, 1995b.
18. Menabde, M., D. Harris, A. W. Seed, G. L. Austin, and C. D. Stow, Multiscaling properties of rainfall and bounded random cascades, Water Resour. Res., 33(12), 2823-2830, 1997.
19. Nykanen, D. K., E. Foufoula-Georgiou, and W. M. Lapenta, Impact of small-scale rainfall variability on larger-scale spatial organization of land-atmosphere fluxes, J. Hydrometeorol., 2(2), 105-121, 2001.
20. Over, T. M., and V. K. Gupta, Statistical analysis of mesoscale rainfall: Dependence of a random cascade generator on large-scale forcing, J. Appl. Meteorol., 33, 1526-1542, 1994.
21. Over, T. M., and V. K. Gupta, A space-time theory of mesoscale rainfall using random cascades, J. Geophys. Res., 101(D21), 26,319-26,332, 1996.
22. Pecknold, S., S. Lovejoy, D. Schertzer, C. Hooge, and J. F. Malouin, The simulation of universal multifractals, in Cellular Automata: Prospects in Astrophysical Applications, edited by J. M. Perdang and A. Lejeune, pp. 228-267, World Sci., River Edge, N. J., 1993.
23. Perica, S., and E. Foufoula-Georgiou, Linkage of scaling and thermodynamic parameters of rainfall: Results from midlatitude mesoscale convective systems, J. Geophys. Res., 101(D3), 7431-7448, 1996a.
24. Perica, S., and E. Foufoula-Georgiou, Model for multiscale disaggregation of spatial rainfall based on coupling meteorological and scaling descriptions, J. Geophys. Res., 101(D21), 26,347-26,361, 1996b.
25. Pontrelli, M. D., G. Bryan, and J. M. Fritsch, The Madison County, Virginia, Flash Flood of 27 June 1995, Weather Forecasting, 14, 384-404, 1999.
26. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed., 994 pp., Cambridge Univ. Press, 1992.
27. Purdy, J. C., D. Harris, G. L. Austin, A. W. Seed, and W. Gray, A case study of orographic rainfall processes incorporating multiscaling characterization techniques, J. Geophys. Res., 106(D8), 7837-7845, 2001.
28. Samorodnitsky, G., and M. S. Taqqu, Stable Non-Gaussian Random Processes: Stochastic Models With Infinite Variance, 632 pp., Chapman and Hall, New York, 1994.
29. Schertzer, D., and S. Lovejoy, Physical modeling and analysis or rain and clouds by anisotropic scaling multiplicative processes, J. Geophys. Res., 92(D8), 9693 9714, 1987.
30. Smith, J. A., M. L. Baeck, M. Steiner, and A. J. Miller, Catastrophic rainfall from an upslope thunderstorm in the central Appalachians: The Rapidan storm of June 27, 1995, Water Resour. Res., 32(10), 3099-3113, 1996a.
31. Smith, J. A., D.-J. Seo, M. L. Baeck, and M. D. Hudlow, An intercomparison study of NEXRAD precipitation estimates, Water Resour. Res., 32(7), 2035-2045, 1996b.
32. Tessier, Y., S. Lovejoy, and D. Schertzer, Universal multifractals: Theory and observations for rain and clouds, J. Appl. Meteorol., 32, 223-250, 1993.
33. Venugopal, V., E. Foufoula-Georgiou, and V. Sapozhnikov, A space-time downscaling model for rainfall, J. Geophys. Res., 104(D16), 19,705-19,721, 1999a.
34. Venugopal, V., E. Foufoula-Georgiou, and V. Sapozhnikov, Evidence of dynamic scaling in space-time rainfall, J. Geophys. Res., 104(D24), 31,599-31,610, 1999b.
35. Wilson, J., D. Schertzer, and S. Lovejoy, Physically based rain and cloud modeling, in Scaling, Fractals and Non-Linear Variability in Geophysics, edited by D. Schertzer and S. Lovejoy, pp. 185-207, Kluwer Acad., Norwell, Mass., 1991.
36. Winchell, M., H. V. Gupta, and S. Soroocashian, On the simulation of infiltration- and saturation-excess runoff using radar-based rainfall estimates: Effects of algorithm uncertainty and pixel aggregation, Water Resour. Res., 34(10), 2655-2670, 1998.