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contributor authorYu, Nan
contributor authorDelrieu, Guy
contributor authorBoudevillain, Brice
contributor authorHazenberg, Pieter
contributor authorUijlenhoet, Remko
date accessioned2017-06-09T16:49:24Z
date available2017-06-09T16:49:24Z
date copyright2014/01/01
date issued2013
identifier issn1558-8424
identifier otherams-74765.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4217026
description abstracthis study offers a unified formulation of single- and multimoment normalizations of the raindrop size distribution (DSD), which have been proposed in the framework of scaling analyses in the literature. The key point is to consider a well-defined ?general distribution? g(x) as the probability density function (pdf) of the raindrop diameter scaled by a characteristic diameter Dc. The two-parameter gamma pdf is used to model the g(x) function. This theory is illustrated with a 3-yr DSD time series collected in the Cévennes region, France. It is shown that three DSD moments (M2, M3, and M4) make it possible to satisfactorily model the DSDs, both for individual spectra and for time series of spectra. The formulation is then extended to the one- and two-moment normalization by introducing single and dual power-law models. As compared with previous scaling formulations, this approach explicitly accounts for the prefactors of the power-law models to yield a unique and dimensionless g(x), whatever the scaling moment(s) considered. A parameter estimation procedure, based on the analysis of power-law regressions and the self-consistency relationships, is proposed for those normalizations. The implementation of this method with different scaling DSD moments (rain rate and/or radar reflectivity) yields g(x) functions similar to the one obtained with the three-moment normalization. For a particular rain event, highly consistent g(x) functions can be obtained during homogeneous rain phases, whatever the scaling moments used. However, the g(x) functions may present contrasting shapes from one phase to another. This supports the idea that the g(x) function is process dependent and not ?unique? as hypothesized in the scaling theory.
publisherAmerican Meteorological Society
titleUnified Formulation of Single- and Multimoment Normalizations of the Raindrop Size Distribution Based on the Gamma Probability Density Function
typeJournal Paper
journal volume53
journal issue1
journal titleJournal of Applied Meteorology and Climatology
identifier doi10.1175/JAMC-D-12-0244.1
journal fristpage166
journal lastpage179
treeJournal of Applied Meteorology and Climatology:;2013:;volume( 053 ):;issue: 001
contenttypeFulltext


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