ISSN 0004-0894 © The Authors.
Journal compilation © Royal Geographical Society (with The Institute of British Geographers) 2006
Area (2006) 38.1, 34–46
Blackwell Publishing Ltd
Historical and pooled flood frequency analysis
for the River Tay at Perth, Scotland
N Macdonald*, A Werritty**, A R Black** and L J McEwen†
*River Basin Dynamics and Hydrology Research Group, Institute of Geography and Earth Sciences,
University of Wales, Aberystwyth, Ceredigion, Wales SY23 3DB
Email: nim@aber.ac.uk
**Department of Geography, University of Dundee, Dundee DD1 4HN
†School of Environment, University of Gloucestershire, Cheltenham GL50 4AZ
Revised manuscript received 28 November 2005
Improved estimates of UK flood risk during a period of increased climatic variability
place challenges on existing methods that rely on short instrumental records. This paper
examines the value of using historical data (both documentary and epigraphic) to
augment existing gauged records for the River Tay at Perth as part of a multi-method
approach to assessing flood risk. Single station and pooled methods are compared with
flood risk estimates based on an augmented historical series (1815–2000) using the
Generalized Logistic and Generalized Pareto distributions. The value of using an even
longer, but less reliable, extended historical series (1210–2000) is also examined. It is
recommended that modelling flood risk for return periods >100 years should incorporate
historical data, where available, and that a multi-method approach using a high
threshold Generalized Pareto distribution can also add confidence in flood risk estimates
for return periods <100 years based on standard methods.
Key words: Perth, flood risk estimates, historical data, pooling method, Generalized Pareto
distribution, River Tay
Introduction
Providing robust and reliable estimates of flood risk
is increasingly important in a world where climate
change is increasing the number of hazardous
locations and the pressure to occupy such locations
is often poorly regulated (Werritty et al. 2002; Evans
et al. 2004; Department of Food and Rural Affairs
2004). By way of illustration, the Scottish Executive
has designated the 1 in 200 year event as the design
flood in its planning guidelines and forthcoming
second generation flood risk maps (Scottish Executive
2004). However, estimating the return periods for
floods likely to have a significant societal impact
is challenging unless suitably long records exist
(Archer 1999; Black and Burns 2002). Few sites
across the UK provide records >50 years in length.
The average gauged record is about 24 years (Marsh
and Lees 2003) and sites with records dating back
to the nineteenth century are rare. This represents a
significant problem in providing robust and reliable
estimates of flood risk, as relatively short records often
fail to include an adequate sample of large rare floods.
The Flood Estimation Handbook (FEH) (Institute of
Hydrology 1999) identifies two principal methods
for estimating flood risk for sites with relatively short
gauged records: pooling and historical augmenta-
tion. The first is now widely adopted across the UK,
especially by consultants advising local authorities
and developers on the location of new residential
and commercial developments. But as concerns
are raised over the reliability of pooling in the