Regional Precipitation Quantile Values for the Continental United States Computed from L-Moments

Nathaniel B. Guttman National Climatic Data Center, Asheville. North Carolina

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J. R. M. Hosking IBM T. J. Watson Research Center. Yorktown Heights, New York

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James R. Wallis IBM T. J. Watson Research Center. Yorktown Heights, New York

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Abstract

Precipitation quantile values have been computed for 9 probabilities, 8 durations, 12 starting months, and 1 1 1 regions across the United States. L-moment methodology has been used for the calculations. Discussed are the rationale for selecting the Pearson type III (gamma) and Wakeby distributions, and the confidence that can be placed in the quantile values. Results show that distribution functions become more asymmetrical as the duration decreases, indicating that the median may be a better measure of central tendency than the mean. Portraying the quantile values as a percentage of the median value leads to smooth spatial fields.

Computation of quantile values was the first known large-scale application of L-moment methodology. In spite of the complexity of the techniques and the extensive use of personnel and computer resources, the results justify the procedures in terms of preparing easy to use probability statements that reflect underlying physical processes.

Abstract

Precipitation quantile values have been computed for 9 probabilities, 8 durations, 12 starting months, and 1 1 1 regions across the United States. L-moment methodology has been used for the calculations. Discussed are the rationale for selecting the Pearson type III (gamma) and Wakeby distributions, and the confidence that can be placed in the quantile values. Results show that distribution functions become more asymmetrical as the duration decreases, indicating that the median may be a better measure of central tendency than the mean. Portraying the quantile values as a percentage of the median value leads to smooth spatial fields.

Computation of quantile values was the first known large-scale application of L-moment methodology. In spite of the complexity of the techniques and the extensive use of personnel and computer resources, the results justify the procedures in terms of preparing easy to use probability statements that reflect underlying physical processes.

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