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Smith & De Veaux 1994
Smith, J.A. and De Veaux, R.D. (1994). A stochastic model relating rainfall intensity to raindrop processes. Water Resources Research 30: doi: 10.1029/93WR02349. issn: 0043-1397.

The temporal variability of rainfall and raindrop processes is examined at time scales ranging from less than 1 min to 1 hour. Raindrop processes are represented in terms of drop arrival rate, mean diameter, and coefficient of variation of drop diameter and modeled as time-varying stochastic processes. It is shown that rainfall rate and accumulated rainfall have simple and accurate representations in terms of raindrop processes. Using these results the temporal variability of rainfall rate is examined in terms of temporal variability of raindrop processes. It is shown that the temporal variability of rainfall rate varies systematically across a range of climatic settings and, more importantly, that these climatic contrasts in rainfall rate can be related to contrasting properties of raindrop processes. Two statistical models of rainfall rate and raindrop processes are examined in detail: a lognormal model with fixed parameters and a lognormal model with parameters that vary from storm to storm. Temporal correlation structure of rainfall rate exhibits qualitatively different behavior under the two models. Lognormal models of rainfall rate are extended to models in which dependence of the averaging time interval is explicitly represented. Scale properties of rainfall rate are examined empirically for averaging time intervals ranging from 1 min to 30 min. Empirical analyses are based on drop-size data from North Carolina, New Jersey, Oregon, Alaska, and the Marshall Islands.

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Abstract

Keywords
Hydrology, Precipitation
Journal
Water Resources Research
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Publisher
American Geophysical Union
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