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Downscaling of rain gauge time series by multiplicative beta cascade

Baxter, Paul D.; Paulson, Kevin S.


Paul D. Baxter

Kevin S. Paulson


This paper develops a downscaling algorithm capable of producing ensembles of rain rate time series, with integration times as short as 10 s, consistent with a time series of rain rates with integration times as long as 6 hours. The algorithm is based on a stochastic multiplicative cascade using beta distributions as the random generator. The statistics of these cascades are developed in the paper. The cascade requires two parameters at each of a geometric progression of scales. These parameters are estimated from 1 gauge year of rain gauge data, with a 10 s integration period, collected in the southern United Kingdom. The statistical moments up to third order, of 9 gauge years of data, are calculated for integration times in the range 10 s to 6 hours. These data are compared with time series derived by accumulating 10 s data to larger integration times and then downscaling using the proposed algorithm. The proposed algorithm and parameters are expected to be applicable to downscaling 5 min or shorter rain rate data from temperate regions. For other regions, and longer initial accumulation times, some parameter estimation based on local data will be required.


Baxter, P. D., & Paulson, K. S. (2007). Downscaling of rain gauge time series by multiplicative beta cascade. Journal of Geophysical Research: Atmospheres, 112(D9), Article ARTN D09105.

Journal Article Type Article
Acceptance Date Dec 14, 2006
Online Publication Date May 3, 2007
Publication Date May 16, 2007
Print ISSN 2169-897X
Publisher American Geophysical Union
Peer Reviewed Peer Reviewed
Volume 112
Issue D9
Article Number ARTN D09105
Keywords Earth-Surface Processes; Ecology; Earth and Planetary Sciences (miscellaneous); Space and Planetary Science; Palaeontology; Forestry; Aquatic Science; Atmospheric Science; Soil Science; Geochemistry and Petrology; Geophysics; Oceanography; Water Science a
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