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
Effects of the radar observation process on inferred rainfall statistics
TL;DR: In this article, the physics of the radar measurement process as well as the processing of radar data can have significant effects on inferred statistics of rainfall, including the radar beam averaging scheme, nonlinear transformations inherent in estimation of rainfall based on radar observations, and the coordinate transformation from a polar to a Cartesian grid.
Journal ArticleDOI
Multifractal simulations and analysis of clouds by multiplicative processes
Daniel Schertzer,Shaun Lovejoy +1 more
TL;DR: In this paper, the authors generalise scale invariance notions beyond the usual geometrical self-similar (or even self-affine) notions to deal with strongly intermittent fields which result from multiplicative (cascade-type) processes concentrating matter or energy into smaller and smaller scales.
Journal ArticleDOI
Maximum entropy spectra for regional precipitation analysis and forecasting
TL;DR: In this article, a recursive algorithm is presented for the solution of the multichannel normal equations, and the corresponding maximum entropy method (MEM) of spectral estimation is generalized for multi-channel precipitation series, which can lead to a better understanding and description of the precipitation structure.
Book ChapterDOI
Stochastic Models of Temporal Rainfall: Reproducibility, Estimation and Prediction of Extreme Events
Paolo Burlando,Renzo Rosso +1 more
TL;DR: An extensive field data analysis is presented, in order to assess the capability of the mathematical models investigated to represent the actual behaviour of the natural process.
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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