Statistical framework to simulate daily rainfall series conditional on upper-air predictor variables

Water Resources Research

Volumn 50, Issue 5, 2014, Pages 3907-3932

  Langousis, Andreas ^a   Kaleris, Vassilios ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

climate change; conditional rainfall simulation; precipitation; rainfall scaling and extremes; statistical rainfall downscaling; stochastic hydrology

Indexed keywords

CLIMATE CHANGE; PRECIPITATION (CHEMICAL); RISK ASSESSMENT; STOCHASTIC SYSTEMS; TIME SERIES;

ATMOSPHERIC CIRCULATION; CLIMATE CHANGE IMPACT; DAILY RAINFALL SERIES; RAINFALL DOWNSCALING; RAINFALL SIMULATIONS; SHORT-RANGE DEPENDENCY; STATISTICAL FRAMEWORK; STOCHASTIC HYDROLOGIES;

RAIN;

RAINFALL; REGIONAL CLIMATE; SEASONALITY; SIMULATION; STATISTICAL ANALYSIS; TIME SERIES; UPPER ATMOSPHERE;

GREECE;

EID: 84900931753     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/2013WR014936     Document Type: Article

References (157)

1. Ahmed, K. F., G. Wang, J. Silander, A. M. Wilson, J. M. Allen, R. Horton, and, R. Anyah, (2013), Statistical downscaling and bias correction of climate model outputs for climate change impact assessment in the U.S. northeast, Global Planet. Change, 100, 320-332, doi: 10.1016/j.gloplacha.2012.11.003.
2. Ahrens, B., (2003), Rainfall downscaling in an alpine watershed applying a multiresolution approach, J. Geophys. Res., 108 (D8), 8388, doi: 10.1029/2001JD001485.
3. Baguis, P., E. Roulin, P. Willems, and, V. Ntegeka, (2009), Climate change scenarios for precipitation and potential evapotranspiration over central Belgium, Theor. Appl. Climatol., 99 (3-4), 273-286, doi: 10.1007/s00704-009- 0146-5.
4. Baker, M. B., and, T. Peter, (2008), Small-scale cloud processes and climate, Nature, 451, 299-300.
5. Bárdossy, A., (2010), Atmospheric circulation pattern classification for South-West Germany using hydrological variables, Phys. Chem. Earth, 35 (9-12), 498-506, doi: 10.1016/j.pce.2010.02.007.
6. Bárdossy, A., and, H. Caspary, (1990), Detection of climate change in Europe by analyzing European circulation patterns from 1881 to 1989, Theor. Appl. Climatol., 42, 155-167.
7. Bárdossy, A., and, G. Pegram, (2011), Downscaling precipitation using regional climate models and circulation patterns toward hydrology, Water Resour. Res., 47, W04505, doi: 10.1029/2010WR009689.
8. Bárdossy, A., and, G. Pegram, (2012), Multiscale spatial recorrelation of RCM precipitation to produce unbiased climate change scenarios over large areas and small, Water Resour. Res., 48, W09502, doi: 10.1029/2011WR011524.
9. Bárdossy, A., and, E. J. Plate, (1991), Modeling daily rainfall using a semi-Markov representation of circulation pattern occurrence, J. Hydrol., 122, 33-47.
10. Bárdossy, A., and, E. J. Plate, (1992), Space-time model for daily rainfall using atmospheric circulation patterns, Water Resour. Res., 28 (5), 1247-1259, doi: 10.1029/91WR02589. (Pubitemid 23372119)
11. Bárdossy, A., J. Stehlík, and, H.-J. Caspary, (2002), Automated objective classification of daily circulation patterns for precipitation and temperature downscaling based on optimized fuzzy rules, Clim. Res., 23, 11-22. (Pubitemid 36161855)
12. Bárdossy, A., I. Bogardi, and, I. Matyasovszky, (2005), Fuzzy rule-based downscaling of precipitation, Theor. Appl. Climatol., 82, 119-129. (Pubitemid 41136024)
13. Barrow, E. M., M. Hulme, and, M. Semenov, (1996), Effect of using different methods in the construction of climate change scenarios: Examples from Europe, Clim. Res., 7, 195-211.
14. Bates, B. C., S. P. Charles, and, J. P. Hughes, (1998), Stochastic downscaling of numerical climate model simulations, Environ. Modell. Software, 13 (3-4), 325-331. (Pubitemid 29000485)
15. Belo-Pereira, M., E. Dutra, and, P. Viterbo, (2011), Evaluation of global precipitation data sets over the Iberian Peninsula, J. Geophys. Res., 116, D20101, doi: 10.1029/2010JD015481.
16. Berrisford, P., D. P. Dee, K. Fielding, M. Fuentes, P. Kållberg, S. Kobayashi, and, S. M. Uppala, (2009), The ERA-Interim Archive, ERA Rep. Ser. 1, Eur. Cent. for Medium Range Weather Forecasts, Reading, U. K.
17. Bogardi, I., I. Matyasovszky, A. Bárdossy, and, L. Duckstein, (1993), Application of a space-time stochastic model for daily precipitation using atmospheric circulation patterns, J. Geophys. Res., 98 (D9), 16,653-16,667, doi: 10.1029/93JD00919.
18. Bürger, G., (1996), Expanded downscaling for generating local weather scenarios, Clim. Res., 7, 111-128.
19. Bürger, G., (2002), Selected precipitation scenarios across Europe, J. Hydrol., 262, 99-110. (Pubitemid 34489886)
20. Busuioc, A., D. Chen, and, C. Hellström, (2001), Performance of statistical downscaling models in GCM validation and regional climate change estimates: Application for Swedish precipitation, Int. J. Climatol., 21, 557-578. (Pubitemid 32406646)
21. Busuioc, A., F. Giorgi, X. Bi, and, M. Ionita, (2006), Comparison of regional climate model and statistical downscaling simulations of different winter precipitation change scenarios over Romania, Theor. Appl. Climatol., 86 (1-4), 101-123. (Pubitemid 44314507)
22. Carvalho, L. M. V., D. Lavallée, and, C. Jones, (2002), Multifractal properties of evolving convective systems over tropical South America, Geophys. Res. Lett., 29 (15), 1743, doi: 10.1029/2001GL014276.
23. Charles, S. P., B. C. Bates, P. H. Whetton, and, J. P. Hughes, (1999a), Validation of downscaling models for changed climate conditions: Case study of southwestern Australia, Clim. Res., 12, 1-14. (Pubitemid 29530881)
24. Charles, S. P., B. C. Bates, and, J. P. Hughes, (1999b), A spatio-temporal model for downscaling precipitation occurrence and amounts, J. Geophys. Res., 104 (D24), 31,657-31,669.
25. Chen, D., (2000), A monthly circulation climatology for Sweden and its application to a winter temperature case study, Int. J. Climatol., 20, 1067-1076.
26. Chu, J.-L., and, P.-S. Yu, (2010), A study of the impact of climate change on local precipitation using statistical downscaling, J. Geophys. Res., 115, D10105, doi: 10.1029/2009JD012357.
27. Conway, D., and, P. D. Jones, (1996), POPSICLE-Production of Precipitation Scenarios for Climate Impacts in Europe, European Community Environment Research Programme, final report, contract EV5V-CT-94-0510, 50 pp., Clim. Res. Unit, Norwich, U. K.
28. Conway, D., and, P. D. Jones, (1998), The use of weather types and air flow indices for GCM downscaling, J. Hydrol., 212-213, 348-361. (Pubitemid 29020075)
29. Conway, D., R. L. Wilby, and, P. D. Jones, (1996), Precipitation and air flow indices over the British Isles, Clim. Res., 7, 169-183, doi: 10.3354/cr0007169.
30. Corte-Real, J., H. Xu, and, B. Qian, (1999), A weather generator for obtaining daily precipitation scenarios based on circulation patterns, Clim. Res., 13, 61-75. (Pubitemid 30079295)
31. Coulibaly, P., Y. B. Dibike, and, F. Anctil, (2005), Downscaling precipitation and temperature with temporal neural networks, J. Hydrometeorol., 6, 483-496, doi: 10.1175/JHM409.1. (Pubitemid 41419775)
32. Craddock, J. M., and, C. R. Flood, (1969), Eigenvectors for representing the 500 mb geopotential surface over the Northern Hemisphere, Q. J. R. Meteorol. Soc., 95, 576-593.
33. 2 precipitation changes for the Susquehanna Basin: Downscaling from the GENESIS general circulation model, Int. J. Climatol., 17, 1-12.
34. Cubasch, U., H. von Storch, J. Waszkewitz, and, E. Zorita, (1996), Estimates of climate change in Southern Europe derived from dynamical climate model output, Clim. Res., 7, 129-149, doi: 10.3354/cr007129.
35. Dee, D. P., et al. (2011), The ERA-Interim reanalysis: Configuration and performance of the data assimilation system, Q. J. R. Meteorol. Soc., 137, 553-597, doi: 10.1002/qj.828.
36. Deidda, R., (2000), Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36 (7), 1779-1794. (Pubitemid 30651194)
37. Deidda, R., R. Benzi, and, F. Siccardi, (1999), Multifractal modeling of anomalous scaling laws in rainfall, Water Resour. Res., 35 (6), 1853-1867. (Pubitemid 29243299)
38. Deidda, R., M. Marrocu, G. Caroletti, G. Pusceddu, A. Langousis, V. Lucarini, M. Puliga, and, A. Speranza, (2013), Regional climate models' performance in representing precipitation and temperature over selected Mediterranean areas, Hydrol. Earth Syst. Sci., 17, 5041-5059, doi: 10.5194/hess-17-5041-2013.
39. Dibike, Y. B., P. Gachon, A. St-Hilaire, T. B. M. J. Ouarda, and, V. T.-V. Nguyen, (2008), Uncertainty analysis of statistically downscaled temperature and precipitation regimes in Northern Canada, Theor. Appl. Climatol., 91 (1-4), 149-170.
40. Eaton, M. L., (2007), Multivariate Statistics: A Vector Space Approach, Inst. of Math. Stat., Beachwood, Ohio.
41. Entekhabi, D., I. Rodriguez-Iturbe, and, P. S. Eagleson, (1989), Probabilistic representation of the temporal rainfall process by the modified Neyman-Scott rectangular pulses model: Parameter estimation and validation, Water Resour. Res., 25 (2), 295-302. (Pubitemid 19303565)
42. Foufoula-Georgiou, E., and, D. P. Lettenmaier, (1986), Continuous-time versus discrete-time point process models for rainfall occurrence series, Water Resour. Res., 22 (4), 531-542. (Pubitemid 16520396)
43. Fowler, H. J., S. Blenkinsop, and, C. Tebaldi, (2007), Linking climate change modelling to impacts studies: Recent advances in downscaling techniques for hydrological modelling, Int. J. Climatol., 27, 1547-1578, doi: 10.1002/joc.1556. (Pubitemid 47604181)
44. Gagnon, P., and, A. N. Rousseau, (2013), Stochastic spatial disaggregation of extreme precipitation to validate a Regional Climate Model and to evaluate climate change impacts over a small watershed, Hydrol. Earth Syst. Sci. Discuss., 10, 8167-8195, doi: 10.5194/hessd-10-8167-2013.
45. Güntner, A., J. Olsson, A. Calver, and, B. Gannon, (2001), Cascade-based disaggregation of continuous rainfall time series: The influence of climate, Hydrol. Earth Syst. Sci., 5, 145-164. (Pubitemid 32804653)
46. Gupta, R., V. Venugopal, and, E. Foufoula-Georgiou, (2006), A methodology for merging multisensor precipitation estimates based on expectation- maximization and scale-recursive estimation, J. Geophys. Res., 111, D02102, doi: 10.1029/2004JD005568.
47. Hay, L. E., G. J. McCabe, D. M. Wolock, and, M. A. Ayers, (1991), Simulation of precipitation by weather type analysis, Water Resour. Res., 27 (4), 493-501.
48. Hess, P., and, H. Brezowsky, (1969), Katalog der Grosswetterlagen Europas, Ber. Dtsch. Wetterdienstes 113, vol. 15, 2nd ed., Selbstverlag des Dtsch. Wetterdienstes, Oftenbach am Main, Germany.
49. Hewitson, B. C., and, R. G. Crane, (1992a), Large-scale atmospheric controls on local precipitation in tropical Mexico, Geophys. Res. Lett., 19 (18), 1835-1838, doi: 10.1029/92GL01423. (Pubitemid 23375454)
50. Hewitson, B. C., and, R. G. Crane, (1992b), Regional-scale climate prediction from the GISS GCM, Palaeogeogr. Palaeoclimatol. Palaeoecol., 97 (3), 249-267, doi: 10.1016/0031-0182(92)90212-N.
51. Hewitson, B. C., and, R. G. Crane, (Eds.) (1994), Neural nets: Looks and uses, in Applications in Geography, Kluwer Acad., Norwell, Mass.
52. Hewitson, B. C., and, R. G. Crane, (1996), Climate downscaling: Techniques and application, Clim. Res., 7, 85-95.
53. Hughes, J. P., and, P. Guttorp, (1994), A class of stochastic models for relating synoptic atmospheric patterns to regional hydrologic phenomena, Water Resour. Res., 30 (5), 1535-1546, doi: 10.1029/93WR02983. (Pubitemid 24404201)
54. Hughes, J. P., P. Guttorp, and, S. P. Charles, (1999), A nonhomogeneous hidden Markov model for precipitation occurrence, Appl. Stat., 48, 15-30.
55. IPCC (2007), Summary for Policymakers, in Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by, S. Solomon, et al., Cambridge Univ. Press, Cambridge, U. K.
56. Johnson, R. A., and, D. W. Wichern, (2007), Applied Multivariate Statistical Analysis, 6th ed., Prentice Hall, Upper Saddler River, N. J.
57. Jones, P. D., M. Hulme, and, K. R. Briffa, (1993), A comparison of Lamb circulation types with an objective classification scheme, Int. J. Climatol., 13, 655-663. (Pubitemid 24396343)
58. Kaleris, V., and, A. Langousis, (2012), Comparison of the rainfall-runoff models ENNS and MIKE SHE in simulating runoff in Galfkos Catchment, 2nd Annu. Rep. RA-3205/09, project UFZ-02/2009, Helmholtz-Zentrum fuer Umweltforschung GmbH, University of Patras, Greece.
59. Kaleris, V., D. Papanastasopoulos, and, G. Lagas, (2001), Case study on impact of atmospheric circulation changes on river basin hydrology: Uncertainty aspects, J. Hydrol., 245 (1-4), 137-152. (Pubitemid 32386212)
60. Kaleris, V., A. Langousis, and, A. Ziogas, (2013), Investigation of the surface and sub-surface hydrology of Glafkos catchment in Greece, final report, RA-3205/09, project UFZ-02/2009, Helmholtz-Zentrum fuer Umweltforschung GmbH, University of Patras, Greece.
61. Key, J., and, R. G. Crane, (1986), A comparison of synoptic classification schemes based on "objective procedures," J. Climatol., 6, 375-386.
62. Koutsoyiannis, D., and, A. Langousis, (2011), Precipitation, in Treaties on Water Sciences: Hydrology, vol. 2, edited by, P. Wilderer, and, S. Uhlenbrook, pp. 27-78, Academic, Oxford, U. K.
63. Kundu, K. K., and, I. M. Cohen, (2004), Fluid Mechanics, 3rd ed., Elsevier.
64. Kutzbach, J. E., (1970), Large-scale features of monthly mean Northern Hemisphere maps of sealevel pressure, Mon. Weather Rev., 98, 708-721.
65. Lamb, H. H., (1972), British Isles weather types and a register of daily sequence of circulation patterns, 1861-1971, Geophys. Mem. 116, 85 pp., Meteorol. Office, London.
66. Langousis, A., (2005), The areal reduction factor a multifractal analysis, MSc thesis, 117 pp., Dep. of Civil and Environ. Eng., MIT, Cambridge, Mass.
67. Langousis, A., and, V. Kaleris, (2013), Theoretical framework to estimate spatial rainfall averages conditional on river discharges and point rainfall measurements from a single location: An application to western Greece, Hydrol. Earth Syst. Sci., 17, 1241-1263, doi: 10.5194/hess-17-1241-2013.
68. Langousis, A., and, D. Veneziano, (2007), Intensity-duration-frequency curves from scaling representations of rainfall, Water Resour. Res., 43, W02422, doi: 10.1029/2006WR005245.
69. Langousis, A., D. Veneziano, P. Furcolo, and, C. Lepore, (2009), Multifractal rainfall extremes: Theoretical analysis and practical estimation, Chaos Solitons Fractals, 39, 1182-1194, doi: 10.1016/j.chaos.2007.06.004.
70. Langousis, A., A. A. Carsteanu, and, R. Deidda, (2013), A simple approximation to multifractal rainfall maxima using a generalized extreme value distribution model, Stochastic Environ. Res. Risk Assess., 27 (6), 1525-1531, doi: 10.1007/s00477-013-0687-0.
71. Lashermes, B., P. Abry, and, P. Chainais, (2004), New insights into the estimation of scaling exponents, Int. J. Wavelets Multiresolut. Inform. Process., 2, 497-523.
72. LeCam, L., (1961), A stochastic description of precipitation, in Proceedings of Fourth Berkeley Symposium on Mathematical Statistics and Probability, vol. 3, edited by, J. Neyman, pp. 165-176, Univ. of Calif. Press, Berkeley.
73. Leuangthong, O., and, C. V. Deutsch, (2003), Stepwise conditional transformation for simulation of multiple variables, Math. Geol., 35 (2), 155-173. (Pubitemid 38149271)
74. Linderson, M.-L., C. Achberger, and, D. Chen, (2004), Statistical downscaling and scenario construction of precipitation in Scania, southern Sweden, Nordic Hydrol., 35, 261-278. (Pubitemid 39102433)
75. Lovejoy, S., and, D. Schertzer, (1995), Multifractals and rain, in New Uncertainty Concepts in Hydrology and Hydrological Modelling, edited by, A. W. Kundzewicz, Cambridge Univ. Press, Cambridge, U. K.
76. Maraun, D., et al. (2010), Precipitation downscaling under climate change: Recent developments to bridge the gap between dynamical models and the end user, Rev. Geophys., 48, RG3003, doi: 10.1029/2009RG000314.
77. Matyasovszky, I., I. Bogardi, A. Bárdossy, and, L. Duckstein, (1993), Estimation of local precipitation statistics reflecting climate change, Water Resour. Res., 29 (12), 3955-3968, doi: 10.1029/93WR01711. (Pubitemid 24400190)
78. Matyasovszky, I., I. Bogardi, and, L. Duckstein, (1994), Comparison of two general circulation models to downscale temperature and precipitation under climate change, Water Resour. Res., 30 (12), 3437-3448. (Pubitemid 290967)
79. 2 results, Global Planet. Change, 10, 55-78. (Pubitemid 26436730)
80. Mearns, L. O., I. Bogardi, F. Giorgi, I. Matyasovszky, and, M. Palecki, (1999), Comparison of climate change scenarios generated from regional climate model experiments and statistical downscaling, J. Geophys. Res., 104 (D6), 6603-6621, doi: 10.1029/1998JD200042. (Pubitemid 29346262)
81. Menabde, M., and, M. Sivapalan, (2000), Modelling of rainfall time series and extremes using bounded random cascades and Levy-stable distributions, Water Resour. Res., 36 (11), 3293-3300.
82. Menabde, M., D. Harris, A. Seed, G. Austin, and, D. Stow, (1997), Multiscaling properties of rainfall and bounded random cascades, Water Resour. Res., 33 (12), 2823-2830. (Pubitemid 27526639)
83. Moritz, H., (1980), Geodetic reference system, Bull. Géod., 54, 395-405.
84. Nguyen, V.-T.-V., T.-D. Nguyen, and, A. Cung, (2007), A statistical approach to downscaling of sub-daily extreme rainfall processes for climate-related impact studies in urban areas, Water Sci. Technol., 7 (2), 183-192, doi: 10.2166/ws.2007.053. (Pubitemid 47311169)
85. Olsson, J., (1998), Evaluation of a scaling cascade model for temporal rain-fall disaggregation, Hydrol. Earth Syst. Sci., 2, 19-30. (Pubitemid 29129038)
86. Onof, C., and, K. Arnbjerg-Nielsen, (2009), Quantification of anticipated future changes in high resolution design rainfall for urban areas, Atmos. Res., 92 (3), 350-363.
87. Onof, C., and, H. S. Wheater, (1993), Modelling of British rainfall using a Random Parameter Bartlett-Lewis Rectangular Pulse Model, J. Hydrol., 149, 67-95.
88. Onof, C., and, H. S. Wheater, (1994), Improvements to the modeling of British rainfall using a Modified Random Parameter Bartlett-Lewis Rectangular Pulses Model, J. Hydrol., 157, 177-195. (Pubitemid 279828)
89. Onof, C., R. E. Chandler, A. Kakou, P. Northrop, H. S. Wheater, and, V. Isham, (2000), Rainfall modelling using Poisson-cluster processes: A review of developments, Stochastic Environ. Res. Risk Assess., 14, 384-411.
90. Ossiander, M., and, E. C. Waymire, (2000), Statistical estimation for multiplicative cascades, Ann. Stat., 28, 1533-1560. (Pubitemid 33274472)
91. Ossiander, M., and, E. C. Waymire, (2002), On estimation theory for multiplicative cascades, Indian J. Stat., 64, 323-343.
92. Palatella, L., M. M. Miglietta, P. Paradisi, and, P. Lionello, (2010), Climate change assessment for Mediterranean agricultural areas by statistical downscaling, Nat. Hazards Earth Syst. Sci., 10, 1647-1661.
93. Paulson, K. S., and, P. D. Baxter, (2007), Downscaling of rain gauge time series by multiplicative beta cascade, J. Geophys. Res., 112, D09105, doi: 10.1029/2006JD007333.
94. Perica, S., and, E. Foufoula-Georgiou, (1996a), Linkage of scaling and thermodynamic parameters of rainfall: Results from midlatitude mesoscale convective systems, J. Geophys. Res., 101 (D3), 7431-7448.
95. Perica, S., and, E. Foufoula-Georgiou, (1996b), Model for multiscale disaggregation of spatial rainfall based on coupling meteorological and scaling descriptions, J. Geophys. Res., 101 (D21), 26,347-26,361.
96. Pfeifroth, U., R. Mueller, and, B. Ahrens, (2013), Evaluation of satellite-based and reanalysis precipitation data in the tropical Pacific, J. Appl. Meteorol. Climatol., 52, 634-644, doi: 10.1175/JAMC-D-12-049.1.
97. Primus, I., D. Mclaughlin, and, D. Entekhabi, (2001), Scale-recursive assimilation of precipitation data, Adv. Water Resour., 24, 941-953. (Pubitemid 34057241)
98. Prudhomme, C., N. Reynard, and, S. Crooks, (2002), Downscaling of global climate models for flood frequency analysis: Where are we now?, Hydrol. Processes, 16, 1137-1150. (Pubitemid 34265006)
99. Raje, D., and, P. P. Mujumdar, (2009), A conditional random field-based downscaling method for assessment of climate change impact on multisite daily precipitation in the Mahanadi basin, Water Resour. Res., 45, W10404, doi: 10.1029/2008WR007487.
100. Robertson, A. W., S. Kirshner, and, P. Smyth, (2004), Downscaling of daily rainfall occurrence over northeast Brazil using a hidden Markov model, J. Clim., 17, 4407-4424. (Pubitemid 40047005)
101. Rodriguez-Iturbe, I., D. R. Cox, and, V. Isham, (1987), Some models for rainfall based on stochastic point processes, Proc. R. Soc. London, Ser. A, 410, 269-298.
102. Rodriguez-Iturbe, I., D. R. Cox, and, V. Isham, (1988), A point process model for rainfall: Further developments, Proc. R. Soc. London, Ser. A, 417, 283-298.
103. Rogers, R. R., and, M. K. Yau, (1996), A Short Course in Cloud Physics, 3rd ed., Butterworth-Heinemann, Wobum, Mass.
104. Rosenblatt, M., (1952), Remarks on a multivariate transformation, Ann. Math. Stat., 23 (3), 470-472.
105. Salas, J. D., (1993), Analysis and modeling of hydrologic time series, in Handbook of Hydrology, edited by, D. Maidment, chap. 19, 19.1-19.72, McGraw-Hill, New York.
106. Schertzer, D., and, S. Lovejoy, (1987), Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes, J. Geophys. Res., 92 (D8), 9693-9714.
107. Segond, M.-L., N. Neokleous, C. Makropoulos, C. Onof, and, C. Maksimovic, (2007), Simulation and spatial-temporal disaggregation of multi-site rainfall data for urban drainage applications, Hydrol. Sci. J., 52 (5), 917-935. (Pubitemid 47505646)
108. Seguí, P. Q., A. Ribes, E. Martin, F. Habets, and, J. Boé, (2010), Comparison of three downscaling methods in simulating the impact of climate change on the hydrology of Mediterranean basins, J. Hydrol., 383 (1-2), 111-124, doi: 10.1016/j.jhydrol.2009.09.050.
109. Singh, V. P., (1992), Elementary Hydrology, Prentice Hall, Upper Saddle River, N. J.
110. Smiatek, G., H. Kunstmann, R. Knoche, and, A. Marx, (2009), Precipitation and temperature statistics in high-resolution regional climate models: Evaluation for the European Alps, J. Geophys. Res., 114, D19107, doi: 10.1029/2008JD011353.
111. Stehlik, J., and, A. Bárdossy, (2002), Multivariate stochastic downscaling model for generating daily precipitation series based on atmospheric circulation, J. Hydrol., 256, 120-141. (Pubitemid 34134668)
112. Sunyer, M. A., H. Madsen, and, P. H. Ang, (2012), A comparison of different regional climate models and statistical downscaling methods for extreme rainfall estimation under climate change, Atmos. Res., 103, 119-128, doi: 10.1016/j.atmosres.2011.06.011.
113. Sunyer, M. A., H. J. D. Sørup, O. B. Christensen, H. Madsen, D. Rosbjerg, P. S. Mikkelsen, and, K. Arnbjerg-Nielsen, (2013), On the importance of observational data properties when assessing regional climate model performance of extreme precipitation, Hydrol. Earth Syst. Sci., 17, 4323-4337, doi: 10.5194/hess-17-4323-2013.
114. Szczypta, C., J.-C. Calvet, C. Albergel, G. Balsamo, S. Boussetta, D. Carrer, S. Lafont, and, C. Meurey, (2011), Verification of the new ECMWF ERA-Interim reanalysis over France, Hydrol. Earth Syst. Sci., 15, 647-666, doi: 10.5194/hess-15-647-2011.
115. Tripathi, S., V. V. Srinivas, and, R. S. Nanjundiah, (2006), Downscaling of precipitation for climate change scenarios: A support vector machine approach, J. Hydrol., 330 (3-4), 621-640, doi: 10.1016/j.jhydrol.2006.04.030. (Pubitemid 44573197)
116. Tustison, B., E. Foufoula-Georgiou, and, D. Harris, (2002), Scale-recursive estimation for multisensor quantitative precipitation forecast verification: A preliminary assessment, J. Geophys. Res., 107 (D8), 8377, doi: 10.1029/2001JD001073 [printed 108(D8), 2003].
117. Uppala, S. M., et al. (2005), The ERA-40 re-analysis, Q. J. R. Meteorol. Soc., 131 (612), 2961-3012, doi: 10.1256/qj.04.176. (Pubitemid 43186171)
118. Urrutia, R., and, M. Vuille, (2009), Climate change projections for the tropical Andes using a regional climate model: Temperature and precipitation simulations for the end of the 21st century, J. Geophys. Res., 114, D02108, doi: 10.1029/2008JD011021.
119. Valencia, D., and, J. C. Schaake, (1972), A disaggregation model for time series analysis and synthesis, Rep. 149, Ralph M. Parsons Lab. of Water Resour. and Hydrodyn., MIT, Cambridge, Mass.
120. Valencia, D., and, J. C. Schaake, (1973), Disaggregation processes in stochastic hydrology, Water Resour. Res., 9 (3), 211-219.
121. Velghe, T., P. A. Troch, F. P. De Troch, and, J. Van de Velde, (1994), Evaluation of cluster-based rectangular pulses point process models for rainfall, Water Resour. Res., 30 (10), 2847-2857. (Pubitemid 287997)
122. Veneziano, D., and, P. Furcolo, (2009), Improved moment scaling estimation for multifractal signals, Nonlinear Processes Geophys., 16, 641-653, doi: 10.5194/npg-16-641-2009.
123. Veneziano, D., and, V. Iacobellis, (2002), Multiscaling pulse representation of temporal rainfall, Water Resour. Res., 38 (8), 1138, doi: 10.1029/2001WR000522.
124. Veneziano, D., and, A. Langousis, (2005), The areal reduction factor a multifractal analysis, Water Resour. Res., 41, W07008, doi: 10.1029/ 2004WR003765.
125. Veneziano, D., and, A. Langousis, (2010), Scaling and fractals in hydrology, in Advances in Data-based Approaches for Hydrologic Modeling and Forecasting, edited by, B. Sivakumar, and, R. Berndtsson, pp. 145, World Sci., Singapore.
126. Veneziano, D., P. Furcolo, and, V. Iacobellis, (2002), Multifractality of iterated random pulse processes with pulse amplitudes generated by a random cascade, Fractals, 10, 1-11. (Pubitemid 34859883)
127. Veneziano, D., P. Furcolo, and, V. Iacobellis, (2006a), Imperfect scaling of time and space-time rainfall, J. Hydrol., 322 (1-4), 105-119.
128. Veneziano, D., A. Langousis, and, P. Furcolo, (2006b), Multifractality and rainfall extremes: A review, Water Resour. Res., 42, W06D15, doi: 10.1029/2005WR004716.
129. Verhoest, N., P. A. Troch, and, F. P. De Troch, (1997), On the applicability of Bertlett-Lewis rectangular pulses models in the modeling of design storms at a point, J. Hydrol., 202, 108-120. (Pubitemid 28118038)
130. von Storch H., (1999), On the use of "inflation" in statistical downscaling, J. Clim., 12, 3505-3506.
131. von Storch, H., E. Zorita, and, U. Cubasch, (1993), Downscaling of global climate estimates to regional scales: An application to Iberian Rainfall in Wintertime, J. Clim., 6, 1161-1171. (Pubitemid 24396444)
132. Vrac, M., P. Marbaix, D. Paillard, and, P. Naveau, (2007), Non-linear statistical downscaling of present and LGM precipitation and temperatures over Europe, Clim. Past, 3, 669-682, doi: 10.5194/cp-3-669-2007. (Pubitemid 351269950)
133. Walsh, K. J. E., and, J. L. McGregor, (1995), January and July climate simulations over the Australian region using a limited area model, J. Clim., 8 (10), 2387-2403. (Pubitemid 26475308)
134. Wang, D., S. C. Hagen, and, K. Alizad, (2013), Climate change impact and uncertainty analysis of extreme rainfall events in the Apalachicola River basin, Florida, J. Hydrol., 480, 125-135, doi: 10.1016/j.jhydrol.2012.12.015.
135. Wang, J., and, X. Zhang, (2008), Downscaling and projection of winter extreme daily precipitation over North America, J. Clim., 21, 923-937, doi: 10.1175/2007JCLI1671.1. (Pubitemid 351736221)
136. Warrach-Sagi, K., T. Schwitalla, V. Wulfmeyer, and, H.-S. Bauer, (2013), Evaluation of a climate simulation in Europe based on the WRF-NOAH model system: Precipitation in Germany, Clim. Dyn., 41 (3-4), 755-774.
137. Waymire, E., and, V. K. Gupta, (1981a), The mathematical structure of rainfall representations. 1: A review of the stochastic rainfall models, Water Resour. Res., 17 (5), 1261-1272.
138. Waymire, E., and, V. K. Gupta, (1981b), The mathematical structure of rainfall representations. 2: A review of the theory of point processes, Water Resour. Res., 17 (5), 1273-1285.
139. Waymire, E., and, V. K. Gupta, (1981c), The mathematical structure of rainfall representations. 3: Some applications of the point process theory to rainfall processes, Water Resour. Res., 17 (5), 1287-1294.
140. Weibull, W., (1939), A statistical theory of the strength of materials, Ingenioersvetenskapsakad. Handl., 151, 45-55.
141. Wetterhall, F., A. Bárdossy, D. Chen, S. Halldin, and, C.-Y. Xu, (2009), Statistical downscaling of daily precipitation over Sweden using GCM output, Theor. Appl. Climatol., 96 (1-2), 95-103, doi: 10.1007/s00704-008-0038- 0.
142. Wilby, R. L., T. M. L. Wigley, D. Conway, P. D. Jones, B. C. Hewitson, J. Main, and, D. S. Wilks, (1998a), Statistical downscaling of general circulation model output: A comparison of methods, Water Resour. Res., 34 (11), 2995-3008, doi: 10.1029/98WR02577. (Pubitemid 28494932)
143. Wilby, R. L., H. Hassan, and, K. Hanaki, (1998b), Statistical downscaling of hydrometeorological variables using general circulation model output, J. Hydrol., 205 (1-2), 1-19. (Pubitemid 28190164)
144. Wilby, R. L., C. W. Dawson, and, E. M. Barrow, (2002), SDSM-A decision support tool for the assessment of regional climate change impacts, Environ. Modell. Software, 17 (2), 145-157, doi: 10.1016/S1364-8152(01)00060-3.
145. Wilby, R. L., O. J. Tomlinson, and, C. W. Dawson, (2003), Multi-site simulation of precipitation by conditional resampling, Clim. Res., 23, 183-194, doi: 10.3354/cr023183. (Pubitemid 36639934)
146. Wilby, R. L., S. P. Charles, E. Zorita, B. Timbal, P. Whetton, and, L. O. Mearns, (2004), Guidelines for Use of Climate Scenarios Developed From Statistical Downscaling Methods, Supporting material of the Intergovernmental Panel on Climate Change, 27 pp., Cambridge Univ. Press, Cambridge, U. K., Singapore [Available from the DDC of IPCC TGCIA.]
147. Wilks, D. S., (1999), Multisite downscaling of daily precipitation with a stochastic weather generator, Clim. Res., 11, 125-136. (Pubitemid 29257345)
148. Willems, P., (2001), A spatial rainfall generator for small spatial scales, J. Hydrol., 252, 126-144. (Pubitemid 32812219)
149. Willems, P., and, M. Vrac, (2011), Statistical precipitation downscaling for small-scale hydrological impact investigations of climate change, J. Hydrol., 402 (3-4), 193-205, doi: 10.1016/j.jhydrol.2011.02.030.
150. Willems, P., K. Arnbjerg-Nielsen, J. Olsson, and, V. T. V. Nguyen, (2012), Climate change impact assessment on urban rainfall extremes and urban drainage: Methods and shortcomings, Atmos. Res., 103, 106-118, doi: 10.1016/j.atmosres.2011.04.003.
151. Wilson, L. L., D. P. Lettenmaier, and, E. Skyllingstad, (1992), A hierarchical stochastic model of large-scale atmospheric circulation patterns and multiple station daily precipitation, J. Geophys. Res., 97 (D3), 2791-2809.
152. Woollard, G. P., (1979), The new gravity system-Changes in international gravity base values and anomaly values, Geophysics, 44, 1352-1366.
153. Zhang, Q., H. Körnich, and, K. Holmgren, (2013), How well do reanalyses represent the southern African precipitation?, Clim. Dyn., 40 (3-4), 951-962, doi: 10.1007/s00382-012-1423-z.
154. Zorita, E., and, H. von Storch, (1997), A survey of statistical downscaling techniques, GKSS Rep. 97/E/20, GKSS Res. Cent., Geesthacht, Germany.
155. Zorita, E., and, H. von Storch, (1999), The analogue method as a simple statistical downscaling technique: Comparison with more complicated methods, J. Clim., 12, 2474-2489. (Pubitemid 30024901)
156. Zorita, E., V. Kharin, and, H. von Storch, (1992), The atmospheric circulation and sea surface temperature in the North Atlantic area in winter: Their interaction and relevance for Iberian precipitation, J. Clim., 5, 1097-1108. (Pubitemid 23379652)
157. Zorita, E., J. P. Hughes, D. P. Lettenmaier, and, H. von Storch, (1995), Stochastic characterization of regional circulation patterns for climate model diagnosis and estimation of local precipitation, J. Clim., 8 (5), 1023-1042. (Pubitemid 26442032)