scispace - formally typeset
Journal ArticleDOI

A Poisson-cluster model of rainfall: some high-order moments and extreme values

Paul S. P. Cowpertwait
- 08 Mar 1998 - 
- Vol. 454, Iss: 1971, pp 885-898
TLDR
In this paper, a conceptual stochastic model for rainfall, based on a Poisson-cluster process with rectangular pulses representing rain cells, is further developed, and a method for deriving high-order moments is applied to obtain the third-moment function for the model.
Abstract
A conceptual stochastic model for rainfall, based on a Poisson-cluster process with rectangular pulses representing rain cells, is further developed. A method for deriving high-order moments is applied to obtain the third-moment function for the model. This is used with second-order properties to fit the model to January and July time-series taken from a site in Wellington, New Zealand. It is found that the parameter estimates may follow two solution paths converging on an optimum value over a bounded interval. The parameter estimates are used with the model to simulate 200 years of hourly data, and parametric tests used to compare simulated and observed extreme rainfalls. These show good agreement over a range of sampling intervals. The paper concludes with a discussion of the standard errors of the model parameter estimates which are obtained using a non-parametric bootstrap.

read more

Citations
More filters
Journal ArticleDOI

Simulation of future climate scenarios with a weather generator

TL;DR: In this article, the authors used a weather generator for downscaling an ensemble of climate model outputs, which can explicitly include climate model uncertainty, which offers valuable information for making probabilistic inferences about climate impacts.
Journal ArticleDOI

RainSim: A spatial-temporal stochastic rainfall modelling system

TL;DR: The ability of the improved model to match observed statistics and extremes is illustrated as an application to the Dommel catchment on the Netherlands/Belgian border illustrates the ability of this robust and well tested stochastic rainfall field generator to match observations and extremes.
Journal ArticleDOI

A comparison of different regional climate models and statistical downscaling methods for extreme rainfall estimation under climate change

TL;DR: In this article, the authors compare five statistical downscaling methods based on a common change factor methodology using results from four different RCMs driven by different GCMs, showing that three of the four RCMs predicted an increase in the extreme precipitation events in the future.
Journal ArticleDOI

Spatial-temporal rainfall modelling for flood risk estimation

TL;DR: In this article, a simple methodology is described, in which a single site Poisson process model provides hourly sequences, conditioned on the observed or generalized linear models (GLM)simulated daily data.
Journal ArticleDOI

Comparison of different ANN techniques in river flow prediction

TL;DR: In general, the forecasting performance of RBF is found to be superior to the other two ANN techniques and a time series model in terms of the selected performance criteria.
References
More filters
Journal ArticleDOI

A simplex method for function minimization

TL;DR: A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n 41) vertices of a general simplex, followed by the replacement of the vertex with the highest value by another point.
Journal ArticleDOI

Limiting forms of the frequency distribution of the largest or smallest member of a sample

TL;DR: In this article, the problem of finding the appropriate limiting distribution in any case may be found from the manner in which the probability of exceeding any value x tends to zero as x is increased.
Journal ArticleDOI

L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics

TL;DR: The authors define L-moments as the expectations of certain linear combinations of order statistics, which can be defined for any random variable whose mean exists and form the basis of a general theory which covers the summarization and description of theoretical probability distributions.
Journal ArticleDOI

Models for exceedances over high thresholds

TL;DR: In this article, the authors discuss the analysis of the extremes of data by modelling the sizes and occurrence of exceedances over high thresholds, and the natural distribution for such exceedances, the generalized Pareto distribution, is described and its properties elucidated.
Journal ArticleDOI

Some Models for Rainfall Based on Stochastic Point Processes

TL;DR: In this paper, the variation of rainfall intensity at a fixed point in space is discussed for the variation in rainfall intensity over a fixed period of time and the main properties of these models are determined analytically.
Related Papers (5)