Use of Scale Recursive Estimation for assimilation of precipitation data from TRMM (PR and TMI) and NEXRAD

Advances in Water Resources

Volumn 30, Issue 11, 2007, Pages 2354-2372

  Bocchiola, D ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Data fusion; Maximum likelihood; Remote sensing; Scale Recursive Estimation

Indexed keywords

DATA FUSION; MAXIMUM LIKELIHOOD ESTIMATION; METEOROLOGICAL RADAR; RADIOMETERS; RECURSIVE FUNCTIONS; REMOTE SENSING; STORMS; SURVEILLANCE RADAR;

EXPECTATION MAXIMIZATION; RAINFALL RATE; SCALE RECURSIVE ESTIMATION;

RAIN;

DATA FUSION; MAXIMUM LIKELIHOOD ESTIMATION; METEOROLOGICAL RADAR; RADIOMETERS; RAIN; RECURSIVE FUNCTIONS; REMOTE SENSING; STORMS; SURVEILLANCE RADAR;

ALGORITHM; DATA ASSIMILATION; ESTIMATION METHOD; MAXIMUM LIKELIHOOD ANALYSIS; PRECIPITATION ASSESSMENT; RADAR; RADIOMETER; REMOTE SENSING; SENSOR; STORM;

EID: 34548302052     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.05.012     Document Type: Article

References (83)

1. Adler R.F., Negri A.J., Keehn P.R., and Hakkarinen I.M. Estimation of monthly rainfall over Japan and surrounding waters from a combination of low-orbit and geo-synchronous IR data. J Appl Meteorol 32 (1993) 335-356
2. Adler R.F., Huffman G.J., Bolvin D.T., Curtis S., and Nelkin E.J. Tropical rainfall distribution using TRMM combined with other satellites and raingage information. J Appl Meteorol 39 (2000) 2007-2023
3. Anagnostou E.N., and Krajewski W.F. Calibration of the WSR-88D precipitation processing subsystem. Weather Forecasting 13 (1998) 396-406
4. Andrieu H., Creutin J.D., Delrieu G., and Faure D. Use of weather radar for the hydrology of a mountainous area. Part I: radar measurement interpretation. J Hydrol 193 (1997) 1-25
5. Basseville M., Benveniste A., Chou K.C., Golden S.A., Nikoukhah R., and Willsky A.S. Modelling and estimation of multi-resolution stochastic processes. IEEE Trans Inform Theory 38 (1992) 766-784
6. Bauer P., Schanz L., Bennartz R., and Schlüssel P. Outlook for combined TMI-VIRS algorithms for TRMM: lessons from the PIP and AIP projects. J Atmos Sci 55 9 (1998) 1714-1729
7. Bell L.T., Kundu P.K., and Kummerov C.D. Sampling errors from TMI and TRMM rainfall averages: comparison with estimates from surface data and a simple model. J Appl Meteorol 40 (2001) 938-954
8. Bocchiola D, McLaughlin D, Entekhabi D. Multi-scale recursive smoothing of intermittent rainfall field. In: Proceedings of the 3rd Plinius conference on mediterranean storms, National Council of Research (CNR), Baja Sardinia, Italy, 2001. p. 129-33.
9. Bocchiola D. A methodology for stochastic assimilation of rainfall rates data from multiple remote sensors. PhD thesis, Politecnico di Milano, 2003.
10. Bocchiola D., and Rosso R. The use of scale recursive estimation for short term quantitative precipitation forecast. Phys Chem Earth 31 18 (2006) 1228-1239
11. Bras R.L., and Rodriguez-Iturbe I. Random functions and hydrology (1985), Addison Wesley pp. 560
12. Burlando P., and Rosso R. Scaling and multifractal depth-duration-frequency curves of storm precipitation. J Hydrol 187 (1996) 45-64
13. Carsteanu A., and Foufoula-Georgiou E. Assessing dependence of weights in a multiplicative cascade model of temporal rainfall. J Geophys Res 101 (1996) 26363-26370
14. Chou K.C., Willsky A.S., and Benveniste A. Multiscale recursive estimation, data fusion and regularization. IEEE Trans Automat Control 39 (1994) 464-478
15. Chou KC. M-L estimation of multi-scale stochastic model parameters. In: Proceedings of the IEEE-SP international symposium on time-frequency and time-series analysis, Paris, June, 1996.
16. Ciach G.J., Krajewski W.F., Anagnostou E., and Baeck M.L. Radar rainfall estimation for ground validation studies of the tropical rainfall measuring mission. J Appl Meteorol 36 (1997) 735-747
17. Ciach G.J., and Krajewski W.F. On the estimation of radar rainfall error variance. Adv Water Resour 22 (1999) 585-595
18. Cohn SE. An introduction to estimation theory. Office note series on global modeling and data assimilation, Goddard Space Flight Center, Internal report 1997, DAO 97-01. p. 60.
19. Creutin J.D., Andrieu H., and Faure D. Use of weather radar for the hydrology of a mountainous area. Part II: radar measurement validation. J Hydrol 193 (1997) 26-44
20. Daniel M.M., and Willsky A.S. A multiresolution methodology for signal level fusion and data assimilation with applications to remote sensing. Proc IEEE (1997) 164-180
21. Daniel M.M., Willsky A.S., and Mc Laughlin D. A multiscale approach for estimating solute travel time distribution. Adv Water Resour 23 (2000) 653-665
22. Deidda R., Benzi R., and Siccardi F. Multifractal modeling of anomalous scaling laws in rainfall. Water Resour Res 35 6 (1999) 1853-1868 10.1029/1999WR90003
23. Deidda R. Rainfall downscaling in a space-time multifractal network. Water Resour Res 36 7 (2000) 1779-1794 10.1029/2000WR90003
24. Dempster A.P., Laird N.M., and Rubin D.B. Maximum likelihood estimation from incomplete data. J Roy Stat Soc (B) 39 1 (1977) 1-38
25. Digalakis V., Rohlicek J.R., and Ostendorf M. ML estimation of stochastic linear system with the EM algorithm and its application to speech recognition. IEEE Trans Speech Audio Proc 1 (1993) 431-442
26. Digalakis V, Chou KC. Maximum likelihood identification of multiscale stochastic models using the wavelet transform and the EM algorithm. In: Proc of int conf on acoustic, speech and signal processing, vol. 4, Minneapolis, April 1993. p. 93-6.
27. Fieguth P.W., Karl C., Willsky A.S., and Wunsch C. Multiresolution optimal interpolation analysis of TOPEX/POSEIDON satellite altimetry. IEEE Trans Geosci Remote Sens 33 (1995) 280-292
28. Frese T. Multiresolution image modelling and Bayesian reconstruction algorithm with application to emission topography. PhD thesis, Purdue Univesity, West Lafayette, Indiana, May 2001. p. 188.
29. Fulton R.A., Breidenbach J.P., Seo D.J., and Miller D.A. The WSD-88D rainfall algorithm. Weather Forecasting 13 (1998) 377-395
30. Gelb A. Applied optimal estimation (1974), MIT Press p. 374
31. Goddard Space Flight Center, Tropical rainfall measuring mission science data and information system, vol. 4, 2001. p. 65.
32. Gupta V.K., and Waymire E. Multiscaling properties of spatial rainfall and river flow distributions. J Geophys Res 95 (1990) 1999-2009
33. Gupta V.K., and Waymire E. A statistical analysis of meso-scale rainfall as a random cascade. J Appl Meteorol 32 (1993) 251-267
34. Gupta R., Venugopal V., and Foufoula-Georgiou E. A methodology for merging multisensor precipitation estimates based on expectation-maximization and scale-recursive estimation. J Geophys Res - Atmospheres 111 D2 (2006) Art. No. D02102
35. Harris D., Seed A., Menabde M., and Austin G. Factors affecting multi-scaling analysis of rainfall time series. Nonlinear Process Geophys 4 (1997) 137-155
36. Holley R., and Waymire E. Multi-fractal dimensions and scaling exponent for strongly bounded random cascade. Ann Appl Prob 2 (1992) 819-845
37. Hudlow M.D. Technological developments in real time operational hydrologic forecasting in the United States. J Hydrol 102 (1988) 69-92
38. Huffman G.J., Adler R.F., Rudolf B., Schneider U., and Keehn P.R. Global precipitation estimates base on a technique for combining satellite base estimates, rain gauge analysis and NWP model precipitation information. J Climate 8 (1995) 1284-1295
39. Huffman G.J. Estimates of root mean square random error for finite samples of estimated precipitation. J Appl Meteorol 36 (1997) 1191-1201
40. Kannan A., Ostendorf M., Karl W.C., Castanon D.A., and Fish R.K. ML parameter estimation of a multiscale stochastic process using the EM algorithm. IEEE Trans Signal Process 48 6 (2000) 1836-1840
41. Kedem B., and Chiu L.S. Are rain rate process self-similar?. Water Resour Res 23 10 (1987) 1816-1818
42. Kendall M., and Stuart D. The advanced theory of statistics vol. 1 (1977), McMillan Publishing p. 470
43. Kitchen M., and Blackall R.M. Representativeness errors in comparisons between radar and gauge measurements of rainfall. J Hydrol 134 (1992) 13-33
44. Krajewski W.F., and Smith J.A. Radar hydrology: rainfall estimation. Adv Water Resour 25 (2002) 1387-1394
45. Kumar P., and Foufoula-Georgiou E. A multicomponent decomposition of spatial rainfall fields 1. Segregation of large and small-scale features using wavelet transforms. Water Resour Res 29 8 (1993) 2515-2532 10.1029/93WR0054
46. Kummerow C., et al. The status of the Tropical Rainfall Measuring Mission (TRMM) after two years in orbit. J Appl Meteorol 39 (2000) 1965-1982
47. Kundu P.K., and Bell T.L. A stochastic model of space-time variability of mesoscale rainfall: statistics of spatial averages. Water Resour Res 39 12 (2003) 1328 10.1029/2002WR00180
48. Jordan P., Seed A., and Austin G. Sampling errors in radar estimates of rainfall. J Geophys Res 105 (2000) 2247-2257
49. Lovejoy S., and Schertzer D. Fractal, raindrops, and resolution dependence of rain measurements. J Appl Meteorol 29 (1990) 1167-1170
50. Lovejoy S., and Schertzer D. Multifractals, universality classes and satellite and radar measurement of clouds and rain fields. J Geophys Res 95 (1990) 2021-2034
51. Lovejoy S., Duncan M.R., and Schertzer D. Scalar multifractal radar observer's problem. J Geophys Res 101 (1996) 26479-26491
52. Luettgen M.R., and Willsky A.S. Multiscale smoothing error models. IEEE Trans Automat Control 40 (1995) 173-175
53. Marsan D., Schertzer D., and Lovejoy S. Causal space-time multifractal processes: predictability and forecasting of rain fields. J Geophys Res 101 (1996) 26333-26346
54. Menabde M., and Sivapalan M. Modeling of rainfall time series and extremes using bounded random cascades and Levy-stable distributions. Water Resour Res 11 36 (2000) 3293-3300 10.1029/2000WR900197
55. Morin E., Krajewski W.F., Goodrich D.C., Gao X., and Sorooshian S. Estimating rainfall intensities from weather radar data: the scale-dependency problem. J Hydrometeorol 4 5 (2003) 782-797
56. Nicholls N. On the insignificance of the significance test. Bull Am Meteorol Soc 81 (2001) 981-986
57. Onof C., Northrop P., Wheater H.S., and Isham V. Spatiotemporal storm structure and scaling property analysis for modeling. J Geophys Res 101 (1996) 26415-26425
58. Olson W.S. Physical retrieval of rainfall rates over the ocean by multispectral microwave radiometry: application to tropical cyclones. J Geophys Res 94 (1989) 2267-2280
59. Olsson J., Niemczynowicz J., and Berndtsson R. Fractal analysis of high resolution rainfall time series. J Geophys Res 98 (1993) 23265-23274
60. Olsson J. Evaluation of a scaling cascade model for temporal rainfall disaggregation. Hydrol Earth Syst Sci 2 1 (1998) 19-30
61. Over TM. Modelling space-time rainfall at the mesoscale using random cascades. PhD thesis, University of Colorado, 1995.
62. Over T.M., and Gupta V.K. Statistical analysis of mesoscale rainfall: dependence of a random cascade generator on large scale forcing. J Appl Meteorol 33 (1994) 1526-1542
63. Over T.M., and Gupta V.K. A space-time theory of mesoscale rainfall using random cascade. J Geophys Res 101 (1996) 319
64. Primus Gorenburg I., Mclaughlin D., and Entekhabi D. Scale- recursive assimilation of precipitation data. Adv Water Resour 24 (2001) 941-953
65. Rauch F., Tung F., and Striebel C. Maximum likelihood estimates for linear dynamic system. AIAA J 3 8 (1965) 1445-1450
66. Sato T., Teraoka T., and Kimura I. Validation and ground truth for TRMM precipitation radar using the MU radar. EICE Trans Commun E79-B 6 (1996) 744-750
67. Schertzer D., and Lovejoy S. Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes. J Geophys Res 92 (1987) 9693-9714
68. Schumacher C., and Houze R.A.J. Comparison of radar data from satellite and Kwajalein oceanic validation site. J Appl Meteorol 39 (2000) 2151-2164
69. Schweppe F.C. Uncertain dynamic system (1973), Prentice-Hall Inc. p. 563
70. Seo D.J., Breidenbach J.P., and Johnson E.R. Real-time estimation of mean field bias in radar rainfall data. J Hydrol 223 (1999) 131-147
71. Sharif H.O., Ogden F.L., Krajewski W.F., and Xue M. Numerical simulations of radar rainfall error propagation. Water Resour Res 38 8 (2002) 151-1514 doi: 10.1029/2001WR000525
72. Shimizu K. A bivariate mixed lognormal distribution with an analysis of rainfall data. J Appl Meteorol 32 (1993) 161-171
73. Simpson J., Adler R.F., and North G.R. A proposed tropical rainfall measuring mission satellite. J Appl Meteorol 69 (1988) 278-295
74. Sivakumar B., Phoon K.K., Liong S.Y., and Liaw C.Y. A systematic approach to noise reduction in observed chaotic time series. J Hydrol 219 3/4 (1999) 103-135
75. Smith J.A., and Krajewski W.F. A modeling study of rainfall rate reflectivity relationships. Water Resour Res 29 (1993) 2505-2514 10.1029/93WR0096
76. Smith J.A., Seo D.J., Baeck M.L., and Hudlow M.D. An intercomparison study of NEXRAD precipitation estimates. Water Resour Res 32 (1996) 2035-2045
77. Steiner M., and Houze Jr. R.A. Sensitivity of the estimated monthly convective rain fraction to the choice of Z-R relation. J Appl Meteorol 36 (1997) 452-462
78. Steiner M., Smith J.A., Burges S.J., Alonso C.V., and Darden R.W. Effect of bias adjustment and rain gauge data quality control on radar rainfall estimation. Water Resour Res 35 8 (1999) 2487-2503
79. Tessier Y., Lovejoy S., and Schertzer D. Universal multi-fractal: theory and observations for rain and clouds. J Appl Meteorol 32 (1993) 223-250
80. Tustison B., Foufoula-Georgiou E., and Harris D. Scale-recursive estimation for multisensor quantitative precipitation forecast verification: a preliminary assessment. J Geophys Res 107 (2003) 8377 10.1029/2001JD001073, 2002 [printed 10(D8), 2003]
81. Young C.B., Bradley A.A., Krajewski W.F., Kruger A., and Morrissey M.L. Evaluating NEXRAD multisensor precipitation estimates for operational hydrologic forecasting. J Hydrometeorol 1 3 (2000) 241-254
82. Zawadzki I.I. On radar-rain gage comparison. J Appl Meteorol 14 (1975) 1430-1436
83. Zhou Y., McLaughlin D., and Entekhabi D. Assessing the performance of the ensemble Kalman filter for land surface data assimilation. Mon Weather Rev 134 (2005) 2128-2142