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
Multiscaling pulse representation of temporal rainfall
TL;DR: In this article, a hierarchical pulse-based representation of temporal rainfall with multifractal properties in the small-scale limit is developed. But the model is not suitable for large-scale data.
Journal ArticleDOI
Asymptotic properties of the maximum likelihood estimator for spatio-temporal point processes
TL;DR: In this paper, the maximum likelihood estimator is shown to be consistent and asymptotically normally distributed as T~ ~ for a spatio-temporal point process whose events occur at times in the interval I0, T] and at corresponding locations in a region X.
Journal ArticleDOI
Parameter estimation of Neyman–Scott processes for temporal point rainfall simulation
TL;DR: The role of the data aggregation scale on parameters estimation of the cluster-based Neyman-Scott point processes applied to rainfall simulation is investigated in this paper, where an alternative estimation procedure is suggested, based on the scale of fluctuation of the observed process.
Journal ArticleDOI
An analytical probabilistic model of the quality efficiency of a sewer tank
TL;DR: In this paper, the possibility of applying the analytical probabilistic approach for developing a tank design method, whose potentials are similar to the continuous simulations, is proved, and efficiency indexes are established.
Parameterization of rainfall microstructure for radar meteorology and hydrology
TL;DR: In this paper, a general framework for the description and analysis of the microstructure of rainfall is presented, which is parameterized in terms of the raindrop size distribution, which determines both the macroscopic physical properties of rainfall relevant for radar meteorology and hydrology and their relationships.
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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