Rainfall stochastic disaggregation models: Calibration and validation of a multiplicative cascade model

By E. Gaume, N. Mouhous, H. Andrieu. 2007

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Time scale and intensity dependency in multiplicative cascades for temporal rainfall disaggregation (2009, methodology): “where j =1 , 2, ... ,2 k .A t theith level, the function f(i, j) indexes the position of the time interval and is given by rounding up j/2 k� i to the nearest integer [e.g., Gaume et al., 2007 ].”
Rainfall downscaling in time: theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades (2012, methodology): “( )     = −i k b j j i g , , which is a ceiling function (Gaume et al. 2007).”
Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models (2010, background): “However, the space-time resolution of this data is often not appropriate for several hydrological analyses, and rainfall information needs to be disaggregated to a finer space-time resolution (e.g.,Gaume et al., 2007).”