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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.

Journal Article Type Article
Publication Date May 16, 2007
Journal Journal of Geophysical Research: Atmospheres
Print ISSN 2169-897X
Publisher American Geophysical Union
Peer Reviewed Peer Reviewed
Volume 112
Issue D9
Article Number ARTN D09105
APA6 Citation Baxter, P. D., & Paulson, K. S. (2007). Downscaling of rain gauge time series by multiplicative beta cascade. Journal of geophysical research. Atmospheres, 112(D9),
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