A Multiplicative Cascade Model for High‐Resolution Space‐Time Downscaling of Rainfall

[1]  Roberto Deidda,et al.  Multifractal analysis and simulation of rainfall fields in space , 1999 .

[2]  A. Seed,et al.  Role of spatial anisotropy in design storm generation: Experiment and interpretation , 2016 .

[3]  Alexis Berne,et al.  Temporal and spatial resolution of rainfall measurements required for urban hydrology , 2004 .

[4]  D. Schertzer,et al.  New Uncertainty Concepts in Hydrology and Water Resources: Multifractals and rain , 1995 .

[5]  B. Mandelbrot,et al.  Fractal properties of rain, and a fractal model , 1985 .

[6]  Clive Pierce,et al.  Formulation and evaluation of a scale decomposition‐based stochastic precipitation nowcast scheme , 2013 .

[7]  Shaun Lovejoy,et al.  Generalized Scale Invariance in the Atmosphere and Fractal Models of Rain , 1985 .

[8]  Chris Kilsby,et al.  A space‐time Neyman‐Scott model of rainfall: Empirical analysis of extremes , 2002 .

[9]  Edward C. Waymire,et al.  A statistical analysis of mesoscale rainfall as a random cascade , 1993 .

[10]  Thomas M. Over,et al.  A space‐time theory of mesoscale rainfall using random cascades , 1996 .

[11]  Loris Foresti,et al.  On the spatial distribution of rainfall nowcasting errors due to orographic forcing , 2015 .

[12]  Assessment of a class of Neyman‐Scott models for temporal rainfall , 1987 .

[13]  Paul O'Connell,et al.  Modelling the effects of spatial variability in rainfall on catchment response. 2. Experiments with distributed and lumped models , 1996 .

[14]  G. Pegram,et al.  High resolution space–time modelling of rainfall: the “String of Beads” model , 2001 .

[15]  Andrea Rinaldo,et al.  On space‐time scaling of cumulated rainfall fields , 1998 .

[16]  R. Srikanthan,et al.  A space and time model for design storm rainfall , 1999 .

[17]  A. Seed,et al.  STEPS: A probabilistic precipitation forecasting scheme which merges an extrapolation nowcast with downscaled NWP , 2006 .

[18]  Merab Menabde,et al.  Multiaffine random field model of rainfall , 1999 .

[19]  David R. Cox,et al.  A simple spatial-temporal model of rainfall , 1988, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[20]  E. Waymire.  Scaling Limits and Self‐Similarity in Precipitation Fields , 1985 .

[21]  D. Rupp,et al.  Multiplicative cascade models for fine spatial downscaling of rainfall: parameterization with rain gauge data , 2012 .

[22]  D. A. Woolhiser,et al.  Impact of small-scale spatial rainfall variability on runoff modeling , 1995 .

[23]  A. Seed.  A Dynamic and Spatial Scaling Approach to Advection Forecasting , 2001 .

[24]  Witold F. Krajewski,et al.  Recent advances in rainfall modeling, estimation, and forecasting (95RG00338) , 1995 .

[25]  R. Srikanthan,et al.  A multiplicative broken-line model for time series of mean areal rainfall. , 2000 .

[26]  R. Deidda.  Rainfall downscaling in a space‐time multifractal framework , 2000 .

[27]  Neil I. Fox,et al.  The nowcasting of precipitation during Sydney 2000: An appraisal of the QPF algorithms , 2004 .

[28]  R. K. Linsley,et al.  The relation between rainfall and runoff: Review paper , 1967 .

[29]  Merab Menabde,et al.  Multiscaling properties of rainfall and bounded random cascades , 1997 .

[30]  Merab Menabde,et al.  Self‐similar random fields and rainfall simulation , 1997 .

[31]  D. Schertzer,et al.  Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes , 1987 .

[32]  M. Babel,et al.  Spatial disaggregation of bias-corrected GCM precipitation for improved hydrologic simulation: Ping River Basin, Thailand , 2007 .

[33]  Witold F. Krajewski,et al.  Radar analyses of extreme rainfall and flooding in urban drainage basins , 2010 .

[34]  Etienne Leblois,et al.  Temporal and spatial variability of rainfall at the urban hydrological scale , 2012 .

[35]  Efi Foufoula-Georgiou,et al.  Evidence of dynamic scaling in space‐time rainfall , 1999 .

[36]  Mary Lynn Baeck,et al.  Estimating the frequency of extreme rainfall using weather radar and stochastic storm transposition , 2013 .

[37]  V. Isham,et al.  A point process model for rainfall: further developments , 1988, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[38]  W. Falck,et al.  Nonparametric spatial covariance functions: Estimation and testing , 2001, Environmental and Ecological Statistics.

[39]  Shaun Lovejoy,et al.  Causal space‐time multifractal processes: Predictability and forecasting of rain fields , 1996 .

[40]  Peter Molnar,et al.  A stochastic model for high‐resolution space‐time precipitation simulation , 2013 .