TEMPORAL RAINFALL DISAGGREGATION BY A SIMPLE RANDOM CASCADE MODEL
DOI:
https://doi.org/10.11113/jt.v80.10957Keywords:
Rainfall disaggregation, random cascade models, statistical moment scaling, rainfall variability, intermittency, rainfall extremesAbstract
This study evaluates the utility and suitability of a simple discrete multiplicative random cascade model for temporal rainfall disaggregation. Two of a simple random cascade model, namely log-Poisson and log-Normal  models are applied to simulate hourly rainfall from daily rainfall at seven rain gauge stations in Peninsular Malaysia. The cascade models are evaluated based on the capability to simulate data that preserve three important properties of observed rainfall: rainfall variability, intermittency and extreme events. The results show that both cascade models are able to simulate reasonably well the commonly used statistical measures for rainfall variability (e.g. mean and standard deviation) of hourly rainfall. With respect to rainfall intermittency, even though both models are underestimated, the observed dry proportion, log-Normal  model is likely to simulate number of dry spells better than log-Poisson model. In terms of rainfall extremes, it is demonstrated that log-Poisson and log-Normal  models gave a satisfactory performance for most of the studied stations herein, except for Dungun and Kuala Krai stations, which both located in the east part of Peninsula.
References
Sivakumar, B. and A. Sharma. 008. A Cascade Approach to Continuous Rainfall Data Generation at Point Locations. Stochastic Environmental Research and Rick Assessment. 22(4): 451-459.
Schertzer, D. and S. Lovejoy. 1987. Physical Modeling and Analysis of Rain and Clouds by Anistropic Scaling Multiplicative Processes. Journal of Geophysical Research. 92: 9692-9714.
Gupta, V. K. and E. C. Waymire. 1993. A Statistical Analysis of Mesoscale Rainfall as a Random Cascade. Journal of Applied Meteorology. 32(2): 145-164.
Olsson, J. 1998: Evaluation of a Scaling Cascade Model for Temporal Rainfall Disaggregation. Hydrology and Earth System Sciences. 2(1): 19-30.
Over, T. M. and V. K. Gupta. 1994. Statistical Analysis of Mesoscale Rainfall: Dependence of a Random Cascade Generator on Large-Scale Forcing. Journal of Applied Meteorology. 33: 1526-1542.
Over, T. M. and V. K. Gupta. 1996. A Space-Time Theory of Mesoscale Rainfall Using Random Cascades. Journal of Geophysical Research. 101(D21): 26319-26331.
Licznar, P., J. Åomotowski, and D. E. Rupp. 2011. Random Cascade Driven Rainfall Disaggregation for Urban Hydrology: An Evaluation of Six Models and a New Generator. Atmospheric Research. 99: 563-578.
Onof, C., J. Townend, and R. Kee. 2005. Comparison of Two Hourly to 5-min Rainfall Disaggregators. Atmospheric Research. 77: 176-187.
Deidda, R., R. Benzi, and F. Siccardi. 1999. Multifractal Modeling of Anomalous Scaling Laws in Rainfall. Water Resources Research. 35(6): 1853-1867.
Molnar, P. and P. Burlando. 2005. Preservation of Rainfall Properties in Stochastic Disaggregation by a Simple Random Cascade Model. Atmospheric Research. 77: 137-151.
Sivakumar, B. 2000. Fractal Analysis of Rainfall Observed in Two Different Climatic Regions. Hydrological Sciences Journal. 45(5): 727-738.
Mandapaka, P. V. and X. Qin. 2015. A Large Sample Investigation of Temporal Scale-Invariance in Rainfall Over the Tropical Urban Island of Singapore. Theoretical and Applied Climatology. 122(3): 685-697.
Mandelbrot, B. B. 1974. Intermittent Turbulence in Self-Similar Cascades – Divergence of High Moments and Dimensions of Carrier. Journal of Fluid Mechanics. 62(2): 331-358.
de Lima, M. I. P. 1998. Multifractals and the Temporal Structure of Rainfall. Doctoral Dissertation. Wageningen Agricultural University, Wageningen.
Gaume, E., N. Mouhous, and H. Andrieu. 2007. Rainfall Stochastic Disaggregation Models: Calibration and Validation of a Multiplicative Cascade Model. Advances in Water Resources. 30: 1301-1319.
Mascaro, G., E.R. Vivoni, D.J. Gochis, C.J. Watts, and J.C. Rodriguez. 2014. Temporal Downscaling and Statistical Analysis of Rainfall Across a Topographic Transect in Northwest Mexico. Journal of Applied Meteorology and Climatology. 53: 910-927.
Pui, A., A. Sharma, R. Mehrotra, B. Sivakumar, and E. Jeremiah. 2012. Journal of Hydrology. 470-471: 138-157.
Onof. C. and K. Arnbjerg-Nielsen. 2009. Quantification of Anticipated Future Changes in High Resolution Design Rainfall for Urban Areas. Atmospheric Research. 92: 350-363.
Güntner, A., J. Olsson, A. Calver, and B. Gannon. 2001. Cascade-Based Disaggregation of Continuous Rainfall Time Series: The Influence of Climate. Hydrology and Earth System Sciences. 5(2): 145-164.
Menabde, M. and M. Sivapalan. 2000. Modeling of Rainfall Time Series and Extremes Using Bounded Random Cascades and Levy-Stable Distributions. Water Resources Research. 36(11): 3293-3300.
Rupp., D. E., R. F. Keim, M. Ossiander, M. Brugnach and J. S. Selker. 2009. Time Scale and Intensity Dependency in Multiplicative Cascades for Temporal Rainfall Disaggregation. Water Resources Research. 45(7): W07409.
Serinadi, F. 2010. Multifractality, Imperfect Scaling and Hydrological Properties of Rainfall Time Series Simulated by Continuous Universal Multifractal and Discrete Random Cascade Models. Nonlinear Processes in Geophysics. 17: 697-714.
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