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11 IMSC Session Program<br />

An application based approach to modelling the spatial<br />

dependencies of extreme flood risk<br />

Friday - Parallel Session 7<br />

L. Speight 1 , J. Hall 1 , C. Kilsby 1 and P. Kershaw 2<br />

1<br />

School of Civil Engineering and Geosciences, Cassie Building, Newcastle<br />

University, Newcastle upon Tyne, UK<br />

2<br />

Catlin, London, UK<br />

The floods of summer 2007 caused widespread disruption across the UK. Temporary<br />

flood defences could not be deployed and national resources were stretched to their<br />

limits. For those involved in risk assessment and emergency planning it highlighted<br />

the need for greater understanding of extreme events to answer questions such as, “if<br />

town A is flooded, what is the probability of town B also flooding?”, or “what is the<br />

probability of an extreme event affecting more than 50% of the country?”. We<br />

develop an application based approach to modelling the spatial dependencies of<br />

extreme flood risk in the UK to address these issues.<br />

Traditional methods of extreme event analysis recommend the use of peaks over<br />

threshold data. However when looking at large spatial scales it is unlikely that all<br />

gauges in the network will be extreme at the same time. An alternative is to extract<br />

continuous flow data for all gauges when one or more gauges are extreme. Taking an<br />

example gauge with 20 years of 15 minute flow data this equates to over 700,000 data<br />

points to analyse. Scaling this up to a moderate network of gauges soon results in an<br />

unmanageable amount of data. The third option is to use daily mean flow data which<br />

provides daily data for all gauges regardless of the extremeness of the event. This is<br />

the dataset which is used in the following methodology.<br />

Spatial dependencies in extreme flow events are characterised using the Heffernan<br />

and Tawn 1 model for conditional dependence as used in a recent study of flood risk<br />

by Keef et al 2,3 . The methodology also enables simulation of large scale events that<br />

are more extreme than anything that has been observed in the gauged data.<br />

However for risk assessment these results are of limited use since daily mean flow<br />

data is not able to capture the full details of extreme events. In particular the flood<br />

peak, which is likely to be most significant in terms of flood defence overtopping, is<br />

not reproduced. To overcome this problem we use the ratio between daily mean flow<br />

and flood peaks to estimate peak flows.<br />

The strength of this methodology is that it can be used for flood risk assessment at site<br />

specific locations nested within the national framework, for example an electricity<br />

company may wish to know the risk across their network of substations or an<br />

insurance company may wish to know the risk to a particular portfolio. This <strong>final</strong><br />

stage of the methodology involves transferred the flow estimates from gauges to sites<br />

of interest while maintaining the spatial distribution of the extreme event.<br />

1 Heffernan, J., and Tawn, J. (2004) A conditional approach for multivariate extreme<br />

values, Journal of the Royal Statistical Society, Series B, 66 (3), p497-546<br />

2 Keef, C., Svensson, C., Tawn, J. (2009) Spatial coherences in extreme river flows<br />

and precipitation for Great Britain, Journal of Hydrology, 378, p240-252<br />

Abstracts 339

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