Journal ArticleDOI
Parameter Estimation for a Model of Space‐Time Rainfall
James A Smith,Alan F. Karr +1 more
TLDR
In this article, the spatial distribution of daily rainfall in a 240-mi2 (621 km2) catchment in the Potomac River basin is modeled using a network of rainfall gages.Abstract:
In this paper, parameter estimation procedures, based on data from a network of rainfall gages, are developed for a class of space-time rainfall models. The models, which are designed to represent the spatial distribution of daily rainfall, have three components, one that governs the temporal occurrence of storms, a second that distributes rain cells spatially for a given storm, and a third that determines the rainfall pattern within a rain cell. Maximum likelihood and method of moments procedures are developed. We illustrate that limitations on model structure are imposed by restricting data sources to rain gage networks. The estimation procedures are applied to a 240-mi2 (621 km2) catchment in the Potomac River basin.read more
Citations
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Journal ArticleDOI
Identification of rain cells from radar and stochastic modelling of space-time rainfall
Daniele Veneziano,Paolo Villani +1 more
TL;DR: The algorithm proposed for the automated identification of rain cells is based on statistical techniques for the estimation of probability density mixtures, and the models studied here combine an arbitrary birth point process with arbitrary random fields generated by the cells.
Book ChapterDOI
Point processes and inference for rainfall fields
TL;DR: In this article, the role of point processes in the statistical analysis of rainfall fields is discussed, in particular at Poisson-based models of the Le Camian type, which represent rainfall fields as a smoothing transformation of a Poisson random measure.
Downscaling Spatial Rainfall Field from Global Scale to Local Scale Using Improved Multiplicative Random Cascade Method
TL;DR: In this article, a new method, named as random cascade Hierarchical and Statistical Adjustment (HSA) method, is introduced and tested to downscale 1.25 degree Game Re-analysis data into 10-minute spatial resolution.
Journal ArticleDOI
A Monte Carlo study of rainfall forecasting with a stochastic model
TL;DR: In this article, the role of sampling density on forecast accuracy was evaluated using a series of simulated rainfall events generated with the same stochastic rainfall model and the results quantify the influence of sampling network density on real-time rainfall field forecasting.
Journal ArticleDOI
Spectral multiscaling of spatially averaged rain rate: a hint for spatio-temporal modelling
Harry Pavlopoulos,George Makatis +1 more
TL;DR: In this paper, an alternative notion of multiscaling is introduced, providing new theoretical basis for further consideration of multiplicative random cascades, as a class of models which potentially capture not only the spatial variability of spatially averaged rain rate fields, but also accounting for its evolution in the course of time.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
A Spectral Theory of Rainfall Intensity at the Meso-β Scale
TL;DR: 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.
A Stochastic Description of Precipitation
TL;DR: In the early part of the war years Pierre Masse organized a group for the purpose of studying optimal procedures of development and management of the French hydroelectric and steam power system.
Journal ArticleDOI
Rainfall generation: A nonstationary time‐varying multidimensional model
TL;DR: In this article, a non-stationary multidimensional rainfall generator is proposed to simulate historical storm exteriors and interiors, assuming the validity of Taylor's hypothesis of turbulence within the storm interior.
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