Singularity-sensitive gauge-based radar rainfall adjustment methods for urban hydrological applications

Hydrology and Earth System Sciences

Volumn 19, Issue 9, 2015, Pages 4001-4021

  Wang, L P ^a   Ochoa Rodriguez, S ^b   Onof, C ^b   Willems, P ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CATCHMENTS; GAGES; HYDROLOGY; RADAR; RAIN GAGES; RUNOFF;

GAUSSIAN APPROXIMATIONS; HYDROLOGICAL MODELLING; RAINFALL STRUCTURES; SENSITIVE TECHNIQUES; SINGULARITY ANALYSIS; URBAN DRAINAGE MODEL; URBAN DRAINAGE SYSTEMS; URBAN HYDROLOGICAL MODELLING;

RAIN;

BAYESIAN ANALYSIS; HYDROLOGICAL MODELING; PEAK FLOW; RADAR; RAINFALL-RUNOFF MODELING; RAINGAUGE; URBAN DRAINAGE;

EDINBURGH [EDINBURGH (ADS)]; EDINBURGH [SCOTLAND]; SCOTLAND; UNITED KINGDOM;

EID: 84942745253     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-19-4001-2015     Document Type: Article

References (76)

1. Agterberg, F. P.: Mixtures of multiplicative cascade models in geochemistry, Nonlin. Processes Geophys., 14, 201-209, doi:10.5194/npg-14-201-2007, 2007.
2. Agterberg, F. P.: Multifractals and geostatistics, J. Geochem. Explor., 122, 113-122, doi:10.1016/j.gexplo.2012.04.001, 2012a.
3. Agterberg, F. P.: Sampling and analysis of chemical element concentration distribution in rock units and orebodies, Nonlin. Processes Geophys., 19, 23-44, doi:10.5194/npg-19-23-2012, 2012b.
4. Anagnostou, E. N. and Krajewski, W. F.: Real-time radar rainfall estimation, Part I: Algorithm formulation, J. Atmos. Ocean. Tech., 16, 189-197, 1999.
5. Bell, F. C.: The Areal Reduction Factor in Rainfall Frequency Estimation, Centre for Ecology&Hydrology (CEH), Wallingford, 1976.
6. Bowler, N. E., Pierce, C. E., and Seed, A.W.: STEPS: a probabilistic precipitation forecasting scheme which merges an extrapolation nowcast with downscaled NWP, Q. J. Roy Meteorol. Soc., 132, 2127-2155, doi:10.1256/qj.04.100, 2006.
7. Brandes, E. A., Ryzhkov, A. V and Zrnic, D. S.: An evaluation of radar rainfall estimates from specific differential phase, J. Atmos. Ocean. Tech., 18, 363-375, doi:10.1175/1520-0426(2001)0180363:AEORRE2.0.CO;2, 2001.
8. Chen, Z., Cheng, Q., Chen, J., and Xie, S.: A novel iterative approach for mapping local singularities from geochemical data, Nonlin. Processes Geophys., 14, 317-324, doi:10.5194/npg-14-317-2007, 2007.
9. Cheng, Q.: Multifractality and spatial statistics, Comput. Geosci., 25, 949-961, doi:10.1016/S0098-3004(99)00060-6, 1999.
10. Cheng, Q. and Zhao, P.: Singularity theories and methods for characterizing mineralization processes and mapping geoanomalies for mineral deposit prediction, Geosci. Front., 2, 67-79, doi:10.1016/j.gsf.2010.12.003, 2011.
11. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B.: The separation of geochemical anomalies from background by fractal methods, J. Geochem. Explor., 51, 109-130, doi:10.1016/0375-6742(94)90013-2, 1994.
12. Ciach, G. J.: Local random errors in tipping-bucket rain gauge measurements, J. Atmos. Ocean. Tech., 20, 752-759, doi:10.1175/1520-0426(2003)20752:LREITB2.0.CO;2, 2003.
13. Collier C. G.: Accuracy of rainfall estimates by radar, part I: Calibration by telemetering raingauges, J. Hydrol. 83. 207-223. doi:10.1016/0022-1694(86)90152-6. 1986
14. Collier, C. G.: Applications of Weather Radar Systems, 2nd Edn., Wiley, Chichester, England, 1996.
15. Deletic, A., Dotto, C. B. S., McCarthy, D. T., Kleidorfer, M., Freni, G., Mannina, G., Uhl, M., Henrichs, M., Fletcher, T. D., Rauch, W., Bertrand-Krajewski, J. L., and Tait, S.: Assessing uncertainties in urban drainage models, Phys. Chem. Earth Pt. A/B/C, 42-44, 3-10, doi:10.1016/j.pce.2011.04.007, 2012.
16. Einfalt, T. and Michaelides, S.: Quality control of precipitation data, in: Precipitation: Advances in Measurement, Estimation and Prediction SE-5, edited by: Michaelides, S., Springer, Berlin, Heidelberg, 101-126, 2008.
17. Einfalt, T., Arnbjerg-Nielsen, K., Golz, C., Jensen, N.-E., Quirmbach, M., Vaes, G., and Vieux, B.: Towards a roadmap for use of radar rainfall data in urban drainage, J. Hydrol., 299, 186-202, doi:10.1016/j.jhydrol.2004.08.004, 2004.
18. Einfalt, T., Jessen, M., and Mehlig, B.: Comparison of radar and raingauge measurements during heavy rainfall, Water Sci. Technol., 51, 195-201, 2005.
19. Evertsz, C. J. G. and Mandelbrot, B. B.: Multifractal measures, in: Chaos and Fractals, edited by: Peitgen, H.-O., Jurgens, H., and Saupe, D., Springer, New York, 922-953, 1992.
20. Fulton, R. A., Breidenbach, J. P., Dong-Jun, S., and Miller, D. A.: The WSR-88D rainfall algorithm, Weather Forecast., 13, 377-395, doi:10.1175/1520-0434(1998)0130377:TWRA2.0.CO;2, 1998.
21. Germann, U., Galli, G., Boscacci, M., and Bolliger, M.: Radar precipitation measurement in a mountainous region, Q. J. Roy Meteorol. Soc., 132, 1669-1692, doi:10.1256/qj.05.190, 2006.
22. Gires, A., Onof, C., Maksimovic, C., Schertzer, D., Tchiguirinskaia, I., and Simoes, N.: Quantifying the impact of small scale unmeasured rainfall variability on urban runoff through multi-fractal downscaling: a case study, J. Hydrol., 442-443, 117-128, doi:10.1016/j.jhydrol.2012.04.005, 2012.
23. Golding, B. W.: Nimrod: a system for generating automated very short range forecasts, Meteorol. Appl., 5, 1-16, doi:10.1017/S1350482798000577, 1998.
24. Gonzalez-Audicana, M., Saleta, J. L., Catalan, R. G., Garcia, R.: Fusion of multispectral and panchromatic images using improved IHS and PCA mergers based on wavelet decomposition, IEEE T. Geosci. Remote, 42, 1291-1299, doi:10.1109/TGRS.2004.825593, 2004.
25. Gooch, M. N.: Use of rainfall data from flow surveys, WaPUG User Note No. 6, Chartered Institute ofWater and Environmental Management (CIWEM), London, 2009.
26. Goudenhoofdt, E. and Delobbe, L.: Evaluation of radar-gauge merging methods for quantitative precipitation estimates, Hydrol. Earth Syst. Sci., 13, 195-203, doi:10.5194/hess-13-195-2009, 2009.
27. Guo, Y. and Adams, B. J.: Hydrologic analysis of urban catchments with event-based probabilistic models: 1. Runoff volume, Water Resour. Res., 34, 3421-3431, doi:10.1029/98WR02449, 1998.
28. Habib, E., Meselhe, E. and Aduvala, A.: Effect of local errors of tipping-bucket rain gauges on rainfall-runoff simulations, J. Hydrol. Eng., 13, 488-496, doi:10.1061/(ASCE)1084-0699(2008)13:6(488), 2008.
29. Harrison, D. L., Driscoll, S. J., and Kitchen, M.: Improving precipitation estimates from weather radar using quality control and correction techniques, Meteorol. Appl., 7, 135-144, doi:10.1017/S1350482700001468, 2000.
30. Harrison, D. L., Scovell, R. W., and Kitchen, M.: High-resolution precipitation estimates for hydrological uses, P. I. Civil Eng-Wat. M., 162, 125-135, doi:10.1680/wama.2009.162.2.125, 2009.
31. HRWallingford:Wallingford Procedure for Design and Analysis of Urban Storm Drainage, Wallingford, UK, 1983.
32. Kalman, R. E.: A new approach to linear filtering and prediction problems, J. Basic Eng.-T. ASME, 82, 35-45, doi:10.1115/1.3662552, 1960.
33. Kavetski, D., Kuczera, G., and Franks, S. W.: Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory, Water Resour. Res., 42, W03407, doi:10.1029/2005WR004368, 2006.
34. Krajewski, W. F.: Cokriging radar-rainfall and rain gage data, J. Geophys. Res., 92, 9571-9580, doi:10.1029/JD092iD08p09571, 1987.
35. Krajewski, W. F. and Smith, J. A.: Radar hydrology: rainfall estimation, Adv.Water Resour., 25, 1387-1394, doi:10.1016/S0309-1708(02)00062-3, 2002.
36. Kramer, S., Fuchs, L., and Verworn, H.: Aspects of radar rainfall forecasts and their effectiveness for real time control-The example of the sewer system of the City of Vienna, Water Pract. Technol., 2, 42-49, 2007.
37. Krause, P., Boyle, D. P., and Base, F.: Comparison of different efficiency criteria for hydrological model assessment, Adv. Geosci., 5, 89-97, doi:10.5194/adgeo-5-89-2005, 2005.
38. Kumar, P. and Foufoula-Georgiou, E.: A multicomponent decomposition of spatial rainfall fields: 1. Segregation of large-And smallscale features using wavelet transforms, Water Resour. Res., 29, 2515-2532, doi:10.1029/93WR00548, 1993.
39. La Barbera, P., Lanza, L. G., and Stagi, L.: Tipping bucket mechanical errors and their influence on rainfall statistics and extremes, Water Sci. Technol., 45, 1-9, 2002.
40. Liguori, S., Rico-Ramirez, M. A., Schellart, A. N. A., and Saul, A. J.: Using probabilistic radar rainfall nowcasts and NWP forecasts for flow prediction in urban catchments, Atmos. Res., 103, 80-95, doi:10.1016/j.atmosres.2011.05.004, 2011.
41. Lovejoy, S. and Mandelbrot, B. B.: Fractal properties of rain, and a fractal model, Tellus A, 37, 209-232, doi:10.1111/j.1600-0870.1985.tb00423.x1985.
42. Luyckx, G. and Berlamont, J.: Simplified method to correct rainfall measurements from tipping bucket rain gauges, in: Urban Drainage Modeling: Proceedings of the Speciality Symposium of the World Water and Environmental Resource Congress, edited by: Brashear, R. W. and Maksimovic, C ., American Society of Civil Engineers, Washington, D.C., 767-776, 2001.
43. Mallat, S. and Hwang, W.-L.: Singularity detection and processing with wavelets, IEEE T. Inform. Theory, 38, 617-643, doi:10.1109/18.119727, 1992.
44. Marshall, J. and Palmer, W.: The distribution of raindrops with size, J. Meteorol., 5, 165-166, doi:10.1175/1520-0469(1948)0050165:TDORWS2.0.CO;2, 1948.
45. Marshall, M. and McIntyre, N.: Field verification of bed-mounted ADV meters, Proc. ICE-Water Manage., 161, 199-206, doi:10.1680/wama.2008.161.4.199, 2008.
46. Mazzetti, C.: Data interpolation and multi-sensors Bayesian combinations, RainMusic User's Manual and References, PROGEA srl, Bologna, Italy, 2012.
47. Mazzetti, C. and Todini, E.: Combining raingauges and radar precipitation measurements using a Bayesian approach, in: geoENV IV-Geostatistics for Environmental Applications, edited by: Sanchez-Vila, X., Carrera, J., and Gomez-Hernandez, J. J., Kluwer Academic Publishers, Springer, the Netherlands, 401-412, 2004.
48. Molini, A., Lanza, L. G., and La Barbera, P.: The impact of tipping-bucket raingauge measurement errors on design rainfall for urban-scale applications, Hydrol. Process., 19, 1073-1088, doi:10.1002/hyp.5646, 2005.
49. Nunes, J., Bouaoune, Y., Delechelle, E., Niang, O., and Bunel, P.: Image analysis by bidimensional empirical mode decomposition, Image Vis. Comput., 21, 1019-1026, doi:10.1016/S0262-8856(03)00094-5, 2003.
50. Nunes, J., Guyot, S., and Delechelle, E.: Texture analysis based on local analysis of the bidimensional empirical mode decomposition, Mach. Vis. Appl., 16, 177-188, doi:10.1007/s00138-004-0170-5, 2005.
51. Ochoa-Rodriguez, S., Wang, L.-P., Grist, A., Allitt, R., Onof, C., and Maksimovic, C .: Improving the applicability of radar rainfall estimates for urban pluvial flood modelling and forecasting, in: Urban Drainage Group Autumn Conference and Exhibition 2013: Future Thinking and Challenges, 13-15 November 2013, Nottingham, UK, 19, 2013.
52. Osborne, M. P.: A New Runoff Volume Model, Wastewater Planning Users Group WaPUG, Chartered Institute of Water and Environmental Management (CIWEM), UK, 2001.
53. Robertson, A. N., Farrar, C. R., and Sohn, H.: Singularity detection for structural health monitoring using Holder exponents, Mech. Syst. Signal Pr., 17, 1163-1184, doi:10.1006/mssp.2002.1569, 2003.
54. Schellart, A. N. A., Shepherd, W. J., and Saul, A. J.: Influence of rainfall estimation error and spatial variability on sewer flow prediction at a small urban scale, Adv. Water Resour., 45, 65-75, doi:10.1016/j.advwatres.2011.10.012, 2012.
55. Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes, J. Geophys. Res., 92, 9693-9714, doi:10.1029/JD092iD08p09693, 1987.
56. Schertzer, D., Tchiguirinskaia, I., and Lovejoy, S.: Multifractality: at least three moments!, Interactive comment on "Just two moments! A cautionary note against use of high-order moments in multifractal models in hydrolog" by F. Lombardo et al., Hydrol. Earth Syst. Sci. Discuss., 10, C3103-C3109, 2013.
57. Seo, D. and Smith, J.: Rainfall estimation using raingages and radar-A Bayesian approach: 1. Derivation of estimators, Stoch. Hydrol. Hydraul., 5, 17-29, doi:10.1007/BF01544175, 1991.
58. Sevruk, B. and Nespor, V.: Empirical and theoretical assessment of the wind induced error of rain measurement, Water Sci. Technol., 37, 171-178, doi:10.1016/S0273-1223(98)00330-8, 1998.
59. Sinclair, S. and Pegram, G.: Combining radar and rain gauge rainfall estimates using conditional merging, Atmos. Sci. Lett., 6, 19-22, doi:10.1002/asl.85, 2005.
60. Smith, J. A., Baeck, M. L., Meierdiercks, K. L., Miller, A. J., and Krajewski, W. F.: Radar rainfall estimation for flash flood forecasting in small urban watersheds, Adv.Water Resour., 30, 2087-2097, doi:10.1016/j.advwatres.2006.09.007, 2007.
61. Smith, J. A., Hui, E., Steiner, M., Baeck, M. L., Krajewski, W. F., and Ntelekos, A. A.: Variability of rainfall rate and raindrop size distributions in heavy rain, Water Resour. Res., 45, W04430, doi:10.1029/2008WR006840, 2009.
62. Struzik, Z. R.: Local effective Holder exponent estimation on the wavelet transform maxima tree, in: Fractals: Theory and Applications in Engineering, edited by: Dekking, M., Vehel, J. L., Lutton, E., and Tricot, C., Springer, London, UK, 93-112, 1999.
63. Tchiguirinskaia, I., Schertzer, D., Hoang, C. T., and Lovejoy, S.: Multifractal study of three storms with different dynamics over the Paris region, in: Weather Radar and Hydrology, edited by: Moore, R. J., Cole, S. J., and Illingworth, A. J., IAHS, International Association of Hydrological Sciences (IAHS), Exeter, UK, 421-426, 2011.
64. Thorndahl, S., Nielsen, J. E., and Rasmussen, M. R.: Bias adjustment and advection interpolation of long-term high resolution radar rainfall series, J. Hydrol., 508, 214-226, doi:10.1016/j.jhydrol.2013.10.056, 2014.
65. Todini, E.: A Bayesian technique for conditioning radar precipitation estimates to rain-gauge measurements, Hydrol. Earth Syst. Sci., 5, 187-199, doi:10.5194/hess-5-187-2001, 2001.
66. Ulbrich, C.W.: Natural variations in the analytical form of the raindrop size distribution, J. Clim. Appl. Meteorol., 22, 1764-1775, doi:10.1175/1520-0450(1983)0221764:NVITAF2.0.CO;2, 1983.
67. Velasco-Forero, C. A., Sempere-Torres, D., Cassiraga, E. F., and Gomez-Hernandez, J.: A non-parametric automatic blending methodology to estimate rainfall fields from rain gauge and radar data, Adv. Water Resour., 32, 986-1002, doi:10.1016/j.advwatres.2008.10.004, 2009.
68. Vieux, B. E. and Bedient, P. B.: Assessing urban hydrologic prediction accuracy through event reconstruction, J. Hydrol., 299, 217-236, doi:10.1016/j.jhydrol.2004.08.005, 2004.
69. Villarini, G., Smith, J. A., Lynn Baeck, M., Sturdevant-Rees, P., and Krajewski, W. F.: Radar analyses of extreme rainfall and flooding in urban drainage basins, J. Hydrol., 381, 266-286, doi:10.1016/j.jhydrol.2009.11.048, 2010.
70. Wackernagel, H.: Multivariate Geostatistics, An Introduction with Applications, Springer, Berlin, 2003.
71. Wang, L.-P. and Onof, C.: High-resolution rainfall field reconstruction based upon Kriging and local singularity analysis, in: Hydrofractals '13, HF-10, 17-19 October 2013, Kos Island, Greece, 2013.
72. Wang, L.-P., Onof, C., Ochoa-Rodriguez, S., and Simoes, N.: Analysis of kriged rainfields using multifractals, in: 9th International Workshop on Precipitation in Urban Areas: Urban Challenges in Rainfall Analysis, 6-9 December 2012, St. Moritz, Switzerland, 138-142, 2012.
73. Wang, L.-P., Ochoa-Rodriguez, S., Simoes, N. E., Onof, C., and Maksimovic, C.: Radar-raingauge data combination techniques: a revision and analysis of their suitability for urban hydrology, Water Sci. Technol., 68, 737-747, doi:10.2166/wst.2013.300, 2013.
74. Wang, L.-P., Ochoa-Rodriguez, S., Willems, P., and Onof, C.: Improving the applicability of gauge-based radar rainfall adjustment methods to urban pluvial flood modelling and forecasting using local singularity analysis, in: International Symposium on Weather Radar and Hydrology (WRaH), 7-9April 2014, Washington, D.C., 10 pp., 2014.
75. WaPUG: Code of Practice for the Hydraulic Modelling of Sewer Systems, Wastewater Planning Users Group WaPUG, Chartered Institute of Water and Environmental Management (CIWEM), UK, 2002.
76. Zheng, Y., Hou, X., Bian, T., and Qin, Z.: Effective image fusion rules Of multi-scale image decomposition. in: 5th International Symposium on Image and Signal Processing and Analysis, 27-29 September 2007, Istanbul, Turkey, 362-366, doi:10.1109/ISPA.2007.4383720, 2007