Identifying the scaling properties of rainfall accumulation as measured by a rain gauge network

Gupta, 1990, Multiscaling properties of spatial rainfall and river flow distributions, Journal of Geophysical Research, 98, 1999, 10.1029/JD095iD03p01999 Ignaccolo, 2009, The droplike nature of rain and its invariant statistical properties, Journal of Hydrometeorology, 10, 79, 10.1175/2008JHM975.1 Jameson, 2007, A new characterization of rain and clouds: results from a statistical inversion of count data, Journal of Atmospheric Sciences, 64, 2012, 10.1175/JAS3950.1 Jameson, 1999, Fluctuation properties of precipitation. Part IV: Fine scale clustering of drops in variable rain, Journal of Atmospheric Sciences, 56, 82, 10.1175/1520-0469(1999)056<0082:FPOPPI>2.0.CO;2 Jameson, 2001, What is a raindrop size distribution?, Bulletin of the American Meteorological Society, 82, 1169, 10.1175/1520-0477(2001)082<1169:WIARSD>2.3.CO;2 Jameson, 2002, Spurious power–law relations among rainfall and radar parameters, Quarterly Journal Royal Meteorological Society, 128, 2045, 10.1256/003590002320603520 Jameson, 2002, When is rain steady?, Journal of Applied Meteorology, 41, 83, 10.1175/1520-0450(2002)041<0083:WIRS>2.0.CO;2 Knyazikhin, 2005, Small-scale drop size variability: impact on estimation of cloud optical properties, Journal of Atmospheric Sciences, 62, 2555, 10.1175/JAS3488.1 Kostinski, 2006, The texture of rain: exploring stochastic micro-structure at small scales, Journal of Hydrology, 328, 38, 10.1016/j.jhydrol.2005.11.035 Larsen, 2005, Observation and analysis of steady rain, Journal of Atmospheric Sciences, 62, 4071, 10.1175/JAS3583.1 Lavergnat, 1998, A stochastic raindrop time distribution model, Journal of Applied Meteorology, 37, 805, 10.1175/1520-0450(1998)037<0805:ASRTDM>2.0.CO;2 List, 1988, A linear radar reflectivity–rainrate relationship for steady tropical rain, Journal of Atmospheric Sciences, 45, 3564, 10.1175/1520-0469(1988)045<3564:ALRRRF>2.0.CO;2 Lovejoy, 1985, Fractal properties of rain and a fractal model, Tellus, 37A, 209, 10.1111/j.1600-0870.1985.tb00423.x Lovejoy, 2008, Turbulence, rain drops, and the l**1/2 number density law, New Journal of Physics, 10, 075017, 10.1088/1367-2630/10/7/075017 Lovejoy, 2008, The remarkable wide range spatial scaling of TRMM precipitation, Atmospheric Research, 90, 10, 10.1016/j.atmosres.2008.02.016 Marshak, 2005, Small-scale drop size variability: empirical models for drop size-dependent clustering in clouds, Journal of Atmospheric Sciences, 62, 551, 10.1175/JAS-3371.1 Marshall, 1948, The distribution of raindrops with size, Journal of Meteorology, 5, 165, 10.1175/1520-0469(1948)005<0165:TDORWS>2.0.CO;2 Peters, 2002, A complexity view of rainfall, Physical Review Letters, 88, 018701, 10.1103/PhysRevLett.88.018701 Uijlenhoet, 2006, Measurement and parameterization of rainfall microstructure, Journal of Hydrology, 328, 1, 10.1016/j.jhydrol.2005.11.038 Uijlenhoet, 2006, Analytical solutions to sampling effects in drop size distribution measurements during stationary rainfall: estimation of bulk rainfall variables, Journal of Hydrology, 328, 65, 10.1016/j.jhydrol.2005.11.043 Ulbrich, 2002, On the separation of tropical convective and stratiform rains, Journal of Applied Meteorology, 41, 188, 10.1175/1520-0450(2002)041<0188:OTSOTC>2.0.CO;2 Vaneziano, 1996, Nonlinearity and self-similarity of rainfall in time and a stochastic model, Journal of Geophysical Research, 101, 26371, 10.1029/96JD01658 Waymire, 1985, Scaling limits and self-similarity in precipitation fields, Water Resources Research, 21, 1271, 10.1029/WR021i008p01271 Zawadzki, 1995, Is rain fractal?