Journal ArticleDOI
A Spectral Theory of Rainfall Intensity at the Meso-β Scale
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TLDR
In this paper, a physically realistic stochastic representation of the ground level rainfall intensity field in space and time is presented, which is based on three-component point processes which possess the general features of the embedding of rain cells within small mesoscale areas within large mesoscales within synoptic storms.Abstract:
The available empirical descriptions of extratropical cyclonic storms are employed to formulate a physically realistic stochastic representation of the ground level rainfall intensity field in space and time. The stochastic representation is based on three-component stochastic point processes which possess the general features of the embedding of rain cells within small mesoscale areas within large mesoscale areas within synoptic storms. Certain scale idealizations, and assumptions on functional forms which qualitatively reflect the physical features, lead to a closed form expression for the covariance function, i.e., the real space-time spectrum, of the rainfall intensity field. The theoretical spectrum explains the empirical spectral features observed by Zawadzki almost a decade ago. Of particular interest and importance in this connection is an explanation of the empirical observation that the Taylorian propogation of the fine scale structure, via a transformation of time to space through the storm velocity, holds only for a small time lag and not throughout. The results here indicate the extent of this lag in terms of the characteristic scales associated with cell durations, cellular birthrates and velocities, etc.read more
Citations
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Journal ArticleDOI
The weather generation game: a review of stochastic weather models
Daniel S. Wilks,Robert L. Wilby +1 more
TL;DR: The historical development of statistical weather models, from simple analyses of runs of consecutive rainy and dry days at single sites, through to multisite models of daily precipitation, can be found in this article.
Journal ArticleDOI
Multisite generalization of a daily stochastic precipitation generation model
TL;DR: In this article, the chain-dependent process stochastic model of daily precipitation is extended to simultaneous simulation at multiple locations by driving a collection of individual models with serially independent but spatially correlated random numbers.
Journal ArticleDOI
Multiscaling properties of spatial rainfall and river flow distributions
Vijay K. Gupta,Edward C. Waymire +1 more
TL;DR: In this paper, a general class of continuous multiplicative processes is constructed to provide a theoretical framework for these observations, namely, the log-log linearity of moments with spatial scale and the concavity of corresponding slopes.
Journal ArticleDOI
Effect of spatial and temporal variability in rainfall and watershed characteristics on stream flow hydrograph
TL;DR: In this article, the shape, timing and peak flow of a stream flow hydrograph are significantly influenced by spatial and temporal variability in rainfall and watershed characteristics, depending upon the size and shape of a watershed, its hydrological response is closely linked with storm dynamics.
Journal ArticleDOI
Cokriging radar-rainfall and rain gage data
TL;DR: In this paper, an ordinary cokriging procedure was developed to optimally merge rainfall data from radars and standard rain gages, given in digitized form, using the ergodicity assumption.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
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The Spectrum of Turbulence
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The design of rainfall networks in time and space
TL;DR: In this paper, a general framework is developed to estimate the variance of the sample long-term mean areal precipitation and mean wereal rainfall of a storm event, expressed as a function of correlation in time, correlation in space, length of operation of the network, and geometry of the gaging array.
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Statistical Properties of Precipitation Patterns
TL;DR: In this article, space and time autocorrelation functions are defined for the precipitation process on a horizontal plane. And an optical device is designed and used to measure these functions as well as the mean, the mean square, and the variance of the rainfall rate for a time sequence of precipitation patterns of a widespread convective storm.