Stochastic simulation of intermittent DSD fields in time

Journal of Hydrometeorology

Volumn 13, Issue 2, 2012, Pages 621-637

  Schleiss, Marc ^a   Jaffrain, Joel ^a   Berne, Alexis ^a  

^a EPFL   (Switzerland)

Author keywords

Drop size distribution; Microscale processes variability; Remote sensing; Statistical techniques; Stochastic models

Indexed keywords

COMPUTER SIMULATION; GEOSTATISTICS; PARAMETERIZATION; PRECIPITATION ASSESSMENT; RAINDROP; RAINFALL; REMOTE SENSING; SIZE DISTRIBUTION; SPATIAL ANALYSIS; STOCHASTICITY; TIME SERIES ANALYSIS; VARIOGRAM;

LAUSANNE; SWITZERLAND; VAUD;

EID: 84864757965     PISSN: 1525755X     EISSN: 15257541     Source Type: Journal    
DOI: 10.1175/JHM-D-11-018.1     Document Type: Article

References (58)

1. Alabert, F., 1987: Stochastic imaging of spatial distributions using hard and soft information. M.S. thesis, Dept. of Applied Earth Sciences, Stanford University, 198 pp.
2. Andsager, K., K. V. Beard, and N. F. Laird, 1999: Laboratory measurements of axis ratios for large rain drops. J. Atmos. Sci., 56, 2673-2683.
3. Barancourt, C., J.-D. Creutin, and J. Rivoirard, 1992:Amethod for delineating and estimating rainfall fields. Water Resour. Res., 28, 1133-1144.
4. Battan, L. J., 1973: Radar Observation of the Atmosphere. University of Chicago Press, 324 pp.
5. Beard, K. V., 1977: Terminal velocity adjustment for cloud and precipitation drops aloft. J. Atmos. Sci., 34, 1293-1298.
6. Beier, C., K. Hansen, and P. Gundersen, 1993: Spatial variability of throughfall fluxes in a spruce forest. Environ. Pollut., 81, 257-267.
7. Berne, A., and R. Uijlenhoet, 2005: A stochastic model of range profiles of raindrop size distributions: Application to radar attenuation correction. Geophys. Res. Lett., 32, L10803, doi:10.1029/2004GL021899.
8. Bouvier, C., L.Cisneros, R.Dominguez, J.-P. Laborde, and T. Lebel, 2003: Generating rainfall fields using principal components (PC) decomposition of the covariance matrix:Acase study in Mexico City. J. Hydrol., 278 (1-4), 107-120.
9. Bringi, V. N., V. Chandrasekar, N. Balakrishnan, and D. S. Zrnió, 1990: An examination of propagation effects in rainfall on radar measurements at microwave frequencies. J. Atmos. Oceanic Technol., 7, 829-840.
10. Chilès, J.-P., and P. Delfiner, 1999: Geostatistics: Modeling Spatial Uncertainty. Wiley Series in Probability and Statistics, Applied Probability and Statistics, Wiley, 695 pp.
11. Crane, R. K., 1989: Automatic cell detection and tracking. IEEE Trans. Geosci. Electron., 17, 250-262.
12. Delrieu, G., L. Hucke, and J.-D. Creutin, 1999: Attenuation in rain for X- and C-band weather radar systems: Sensitivity with respect to the drop size distribution. J. Appl. Meteor., 38, 57-68.
13. Germann, U., G. Galli, M. Boscacci, and M. Bolliger, 2006: Radar precipitation measurement in a mountainous region. Quart. J. Roy. Meteor. Soc., 132, 1669-1692, doi:10.1256/qj.05.190.
14. Guillot, G., 1999: Approximation of Sahelian rainfall fields with meta-Gaussian random functions-Part 1: Model definition and methodology. Stochastic Environ. Res. Risk Assess., 13 (1-2), 100-112.
15. Gupta, V. K., and E. Waymire, 1993: A statistical analysis of mesoscale rainfall as a random cascade. J. Appl. Meteor., 32, 251-267.
16. Jaffrain, J., and A. Berne, 2011: Experimental quantification of the sampling uncertainty associated with measurements from PARSIVEL disdrometers. J. Hydrometeor., 12, 352-370.
17. Jaffrain, J., A. Studzinski, and A. Berne, 2011: A network of disdrometers to quantify the small-scale variability of the raindrop size distribution. Water Resour. Res., 47, W00H06, doi:10.1029/2010WR009872.
18. Journel, A. G., and C. J. Huijbregts, 1978: Mining Geostatistics. Academic Press, 600 pp.
19. Katz, R. W., 1977: An application of chain-dependent processes to meteorology. J. Appl. Probab., 14, 598-603.
20. Kinnell, P. I. A., 2005: Raindrop-impact-induced erosion processes and prediction:A review. Hydrol. Processes, 19, 2815-2844.
21. Koster, R. D., and M. J. Suarez, 1995: Relative contributions of land and ocean processes to precipitation variability. J. Geophys. Res., 100 (D7), 775-790.
22. Krajewski, W. F., and J. A. Smith, 2002: Radar hydrology: Rainfall estimation. Adv. Water Resour., 25, 1387-1394.
23. Krajewski, W. F, R. Raghavan, and V. Chandrasekar, 1993: Physically based simulation of radar rainfall data using a space-time rainfall model. J. Appl. Meteor., 32, 268-283.
24. Lavergnat, J., and P. Golé, 2006: A stochastic model of raindrop release: Application to the simulation of point rain observations. J. Hydrol., 328 (1-2), 8-19.
25. Lee, G., A. W. Seed, and I. Zawadzki, 2007: Modeling the variability of drop size distributions in space and time. J. Appl. Meteor. Climatol., 46, 742-756.
26. Leijnse, H., R. Uijlenhoet, and J. N. M. Stricker, 2007: Rainfall measurement using radio links from cellular communication networks. Water Resour. Res., 43, W03201, doi:10.1029/2006WR005631.
27. Leuangthong, O., and C. V. Deutsch, 2003: Stepwise conditional transformation for simulation of multiple variables. Math. Geol., 35, 155-173.
28. Li, B., A. Murthi, K.Bowman, G. North, M. Genton, andM. Sherman, 2009: Statistical tests of Taylor's hypothesis: An application to precipitation fields. J. Hydrometeor., 10, 254-265.
29. Loffler-Mang, M., and J. Joss, 2000: An optical disdrometer for measuring size and velocity of hydrometeors. J. Atmos. Oceanic Technol., 17, 130-139.
30. Matheron, G., 1965: Les Variables Régionalisées et Leur Estimation. Masson et Cie, 305 pp.
31. Menabde, M., A. Seed, D. Harris, and G. Austin, 1997: Self-similar random fields and rainfall simulation. J. Geophys. Res., 102 (D12), 13 509-13 515.
32. Messer, H., A. Zinevich, and P. Alpert, 2006: Environmental monitoring by wireless communication networks. Science, 312, 713, doi:10.1126/science.1120034.
33. Mishchenko, M., L. Travis, and A. Lacis, 2002: Scattering, Absorption, and Emission of Light by Small Particles. Cambridge University Press, 445 pp.
34. Moisseev, D. N., and V. Chandrasekar, 2007: Examination of the m-d relation suggested for drop size distribution parameters. J. Atmos. Oceanic Technol., 24, 847-855.
35. Pebesma, E. J., 2004: Multivariate geostatistics in S: The gstat package. Comput. Geosci., 30, 683-691, doi:10.1016/j.cageo. 2004.03.012.
36. Pruppacher, H. R., and R. L. Klett, 1997: Microphysics of Clouds and Precipitation. 2nd ed. Atmospheric and Oceanographic Sciences Library, Vol. 18, Kluwer Academic Press, 954 pp.
37. R Development Core Team, 2011: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, 3460 pp. [Available online at http://www.R-project.org/.]
38. Richardson, C., 1981: Stochastic simulation of daily precipitation, temperature and solar radiation. Water Resour. Res., 17, 182-190.
39. Rinehart, R. E., 1979: Internal storm motions from a single nondoppler weather radar. Ph.D. dissertation, Colorado State University, 280 pp.
40. Ripley, B. D., 1987: Stochastic Simulation. Wiley, 237 pp.
41. Rodríguez-Iturbe, I., and P. S. Eagleson, 1987:Mathematicalmodels of rainstorm events in space and time. Water Resour. Res., 23, 181-190.
42. Roe, G.H., 2005 Orographic precipitation. Annu. Rev. Earth Planet. Sci., 33, 645-671.
43. Schleiss, M. A., A. Berne, and R. Uijlenhoet, 2009: Geostatistical simulation of two-dimensional fields of raindrop size distributions at the meso-g scale. Water Resour. Res., 45, W07415, doi:10.1029/2008WR007545.
44. Seifert, A., 2005: On the shape-slope relation of drop size distributions in convective rain. J. Appl. Meteor., 44, 1146-1151.
45. Sivapalan, M., and E. F. Wood, 1987:Amultidimensional model of nonstationary space-time rainfall at the catchment scale. Water Resour. Res., 23, 1289-1299.
46. Smith, J. A., E. Hui, M. Steiner, M. L. Baeck, W. Krajewski, and A. A. Ntelekos, 2009: Variability of rainfall rate and raindrop size distributions in heavy rain. Water Resour. Res., 45, W04430, doi:10.1029/2008WR006840.
47. Taylor, G. I., 1938: The spectrum of turbulence. Proc. Roy. Soc. London, 164, 476-490.
48. Testud, J., E. Le Bouar, E. Obligis, and M. Ali-Mehenni, 2000: The rain profiling algorithm applied to polarimetric weather radar. J. Atmos. Oceanic Technol., 17, 332-356.
49. Tuttle, J. D., and G. B. Foote, 1990: Determination of the boundary layer airflow from a single Doppler radar. J. Atmos. Oceanic Technol., 7, 218-232.
50. Ulbrich, C. W., 1983: Natural variations in the analytical form of the raindrop size distribution. J. Climate Appl. Meteor., 22, 1764-1775.
51. Ulbrich, C. W., 1985: The effects of drop size distribution truncation on rainfall integral parameters and empirical relations. J. Climate Appl. Meteor., 24, 580-590.
52. Ulbrich, C. W., and D. Atlas, 2007: Microphysics of raindrop size spectra: Tropical continental and maritime storms. J. Appl. Meteor. Climatol., 46, 1777-1791.
53. Villarini, G., and W. F. Krajewski, 2010: Review of the different sources of uncertainty in single polarization radar-based estimates of rainfall. Surv. Geophys., 31, 107-129.
54. Waymire, E., V. K. Gupta, and I. Rodriguez-Iturbe, 1984: A spectral theory of rainfall intensity at the meso-b scale. Water Resour. Res., 20, 1453-1465.
55. Wilks, D. S., 1999: Simultaneous stochastic simulation of daily precipitation, temperature and solar radiation at multiple sites in complex terrain. Agric. For. Meteor., 96 (1-3), 85-101.
56. Willis, P. T., 1984: Functional fits to some observed drop size distributions and parameterization of rain. J. Atmos. Sci., 41, 1648-1661.
57. Wilson, J. M., and E. A. Brandes, 1979: Radar measurement of rainfall- A summary. Bull. Amer. Meteor. Soc., 60, 1048-1058.
58. Zhang, G., J. Vivekanandan, and E. Brandes, 2001: A method for estimating rain rate and drop size distribution from polarimetric radarmeasurements. IEEE Trans.Geosci. Remote Sens., 39, 830-841.