Journal ArticleDOI
Parameter Estimation for a Model of Space‐Time Rainfall
James A Smith,Alan F. Karr +1 more
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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
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Scale of fluctuation of rainfall models
TL;DR: In this paper, three different types of models are analyzed: temporal rainfall models at a point, areal storm rainfall models, and space-time rainfall representations, with a special emphasis on the role of the scale of fluctuation of the process in these characteristics.
Journal ArticleDOI
Hydrologic models and climate change
TL;DR: In this paper, the many gaps in the relationship between theory and practice in hydrologic modelling and between hydrologyic modeling and climate modeling are discussed. But, as discussed in this paper, there is also a need for a fruitful dialogue and a synergistic relationship between hydrologists and climate modelers.
Journal ArticleDOI
A multidimensional model of nonstationary space‐time rainfall at the catchment scale
Murugesu Sivapalan,Eric F. Wood +1 more
TL;DR: In this paper, a multidimensional model of nonstationary space-time rainfall over a catchment due to a single storm event is presented, which is based on a conceptual representation of the essential features of an extratropical cyclonic storm.
Journal ArticleDOI
Precipitation analysis, modeling, and prediction in hydrology
TL;DR: In recent years U.S. meteorologists and hydrologists have shown increased interest in research related to modeling, observation and prediction (forecasting) of precipitation in particular, mesoscale precipitation research has received most of the researchers' attention.
Journal ArticleDOI
Approximations of Temporal Rainfall From a Multidimensional Model
TL;DR: In this paper, the feasibility of representing the temporal structure of a multidimensional rainfall process with simpler stochastic models and a study of the effect of parameter robustness on the time scale was investigated via performing controlled numerical experiments.
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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