1
Value of Regional Information using Bulletin 17B and LP3 Distribution
Veronica W. Griffis
1
and Jery R. Stedinger
2
1
Assistant Professor, Department of Civil & Environmental Engineering, Michigan Technological
University, 1400 Townsend Drive, Houghton, MI 49931-1295; Phone: 906-487-1079; Fax: 906-487-
2943; Email: vgriffis@mtu.edu
2
Professor, School of Civil & Environmental Engineering, Cornell University, Hollister Hall, Ithaca,
NY 14853-3501; Phone: 607-255-2351, Fax: 607-255-9004; Email: jrs5@cornell.edu
To improve the accuracy of quantile estimators, Bulletin 17B recommends a number
of procedures to improve at-site estimators using regional information. Several
procedures, including two recommended by the Bulletin, are considered here.
Because the data available at a site is generally limited, the skewness estimator can be
particularly unstable. When fitting the LP3 distribution, Bulletin 17B recommends
combining the station skew with a regional skew using the inverse of their mean
square errors as weights. Previous studies have demonstrated the impact of a more
precise regional skewness estimator on quantile estimator precision. To improve
quantile estimates computed using short records, the Bulletin also suggests combining
the at-site quantile estimate with a regional quantile estimate using their effective
record lengths as the weights. Potential problems with this weighted estimator are
discussed here. Two examples compare the precision of the Bulletin 17B weighted
quantile estimator to several alternative estimators which employ different
combinations of at-site and regional information, including an index flood procedure
which did poorly. The simple Bulletin 17B weighting of at-site and regional
regression quantile estimates performs nearly as well as more complex alternatives,
and for short records provides a substantial improvement in quantile accuracy.
However, when the regional standard deviation and skew are very informative and
the regional mean estimator is relatively imprecise, more accurate estimates can be
obtained by weighting each of the three sample moments separately with regional
estimators of those same statistics.
Introduction
A large portion of the U.S. population, infrastructure, and industry is located in flood
prone areas. Floods cause an average of nearly 100 deaths and cost roughly $2.3
billion annually in the U.S. Accurate estimates of the magnitude and frequency of
flood flows are needed for the design of water-use and water-control projects, for
floodplain definition and management, and for the design of transportation
infrastructure such as bridges and roads. Unfortunately, the accuracy of flood quantile
estimates are constrained by the data available at a site: record lengths are often
limited to 100 years, and are typically less than 30 years. This paper considers the use
of regional skew information and regional quantile estimates to improve the accuracy
of at-site quantile estimates.
World Environmental and Water Resources Congress 2007: Restoring Our Natural Habitat © 2007 ASCE