Point process models for fine-resolution rainfall
Open Access
- 24 September 2014
- journal article
- research article
- Published by Taylor & Francis Ltd in Hydrological Sciences Journal
- Vol. 59 (11), 1972-1991
- https://doi.org/10.1080/02626667.2014.925558
Abstract
In a recent development in the literature, a new temporal rainfall model, based on the Bartlett-Lewis clustering mechanism and intended for sub-hourly application, was introduced. That model replaced the rectangular rain cells of the original model with finite Poisson processes of instantaneous pulses, allowing greater variability in rainfall intensity over short intervals. In the present paper, the basic instantaneous pulse model is first extended to allow for randomly varying storm types. A systematic comparison of a number of key model variants, fitted to 5-min rainfall data from Germany, then generates further new insights into the models, leading to the development of an additional model extension, which introduces dependence between rainfall intensity and duration in a simple way. The new model retains the original rectangular cells, previously assumed inappropriate for fine-scale data, obviating the need for the computationally more intensive instantaneous pulse model.Keywords
Other Versions
This publication has 22 references indexed in Scilit:
- A fine-scale point process model of rainfall with dependent pulse depths within cellsHydrological Sciences Journal, 2011
- Estimating functions and the generalized method of momentsInterface Focus, 2011
- A spatial‐temporal point process model with a continuous distribution of storm typesWater Resources Research, 2010
- Downscaling transient climate change using a Neyman–Scott Rectangular Pulses stochastic rainfall modelJournal of Hydrology, 2010
- Point process models of rainfall: developments for fine-scale structureProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007
- Mixed rectangular pulses models of rainfallHydrology and Earth System Sciences, 2004
- An evaluation of three stochastic rainfall modelsJournal of Hydrology, 2000
- A Poisson-cluster model of rainfall: some high-order moments and extreme valuesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998
- Large Sample Properties of Generalized Method of Moments EstimatorsEconometrica, 1982
- Organization and Structure of Precipitating Cloud SystemsAdvances in Geophysics, 1982