Threshold modeling of extreme spatial rainfall
Article first published online: 5 AUG 2013
©2013. American Geophysical Union. All Rights Reserved.
Water Resources Research
Volume 49, Issue 8, pages 4633–4644, August 2013
How to Cite
2013), Threshold modeling of extreme spatial rainfall, Water Resour. Res., 49, 4633–4644, doi:10.1002/wrcr.20329., , and (
- Issue published online: 23 SEP 2013
- Article first published online: 5 AUG 2013
- Accepted manuscript online: 3 JUN 2013 05:45AM EST
- Manuscript Accepted: 27 MAY 2013
- Manuscript Revised: 17 MAY 2013
- Manuscript Received: 1 NOV 2012
- spatial rainfall;
- max-stable model
 We propose an approach to spatial modeling of extreme rainfall, based on max-stable processes fitted using partial duration series and a censored threshold likelihood function. The resulting models are coherent with classical extreme-value theory and allow the consistent treatment of spatial dependence of rainfall using ideas related to those of classical geostatistics. We illustrate the ideas through data from the Val Ferret watershed in the Swiss Alps, based on daily cumulative rainfall totals recorded at 24 stations for four summers, augmented by a longer series from nearby. We compare the fits of different statistical models appropriate for spatial extremes, select that best fitting our data, and compare return level estimates for the total daily rainfall over the stations. The method can be used in other situations to produce simulations needed for hydrological models, and in particular, for the generation of spatially heterogeneous extreme rainfall fields over catchments.