Surface Water and Climate
Multiscaling properties of rainfall and bounded random cascades
Article first published online: 9 JUL 2010
Copyright 1997 by the American Geophysical Union.
Water Resources Research
Volume 33, Issue 12, pages 2823–2830, December 1997
How to Cite
1997), Multiscaling properties of rainfall and bounded random cascades, Water Resour. Res., 33(12), 2823–2830, doi:10.1029/97WR02006., , , , and (
- Issue published online: 9 JUL 2010
- Article first published online: 9 JUL 2010
- Manuscript Accepted: 11 JUL 1997
- Manuscript Received: 4 DEC 1996
The connection among different types of exponents characterizing multiscaling properties of rainfall and a criterion for stationarity of random fields are discussed, and a new phenomenological model for rainfall time series simulation is proposed. The bounded random cascade model presented here is a generalization of the well-known α model with the multiplicative weights of the generator converging to unity as the cascade proceeds to smaller scales. This allows one to directly simulate a multiscaling random field with an energy spectrum exponent, β>1, which is typical for rainfall time series data but which cannot be produced by a standard α model. A procedure is proposed for estimating the cascade parameters of this new bounded α model from observed data. Parameters are estimated from two data sets with different degrees of intermittency and different spectral exponents. The bounded α model simulations using these parameters produced realistic rainfall time series with spectral exponents similar to their observed counterparts.