U.S. GEOLOGICAL SURVEY
Water-Resources
Investigations Report 00-4022
Development of a Contour Map Showing Generalized Skew Coefficients
of Annual Peak Discharges of Rural, Unregulated Streams in New York, Excluding
Long Island
By Richard Lumia and Yvonne H. Baevsky
ABSTRACT
Flood-frequency relations that are developed by fitting the logarithms of annual peak discharges to a Pearson Type-III distribution are sensitive to skew coefficients. Estimates of population skew for a site are improved when computed from the weighted average of (1) the sample (station) skew, and (2) an unbiased, generalized skew estimate. A weighting technique based on the number of years of record at each of 226 sites was used to develop a contour map of unbiased, generalized skew coefficients for New York. An attempt was made to group (regionalize) the station skew coefficients into five hydrologically similar areas of New York, but the statewide version proved to be as accurate as the regionalized version and therefore was adopted as the final generalized skew-coefficient map for New York. An error analysis showed the statewide contour map to have lower MSE’s (mean square errors) than those computed from (1) the five regional skew-coefficient contour maps, (2) a previously used (1982) nationwide skew coefficient map, and (3) the weighted mean of skew coefficients for sites within each of five hydrologically uniform, but distinct areas of New York.
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