Joint Probability Distribution of Rainfall Intensity and Duration

by G. V. Loganathan, (M.ASCE), Virginia Tech, Blacksburg, United States,
Glenda Patron, (A.M.ASCE), Virginia Tech, Blacksburg, United States,

Abstract: Intensity-duration-frequency (IDF) curves are widely used for peak discharge estimation in designing hydraulic structures. Accurate interpolated and extrapolated intensity values are difficult to obtain. The present study offers two methods. The first joint probability approach employs Box-Cox and modulus transformations to transform original data to near normality. The second uses the bivariate Burr III cumulative distribution to fit the data. The resulting conditional probability intensity estimates are quite close to those obtained by traditional Gumbel IDF analysis. Reliable interpolated and extrapolated intensities are available since the approach fits a flexible probability surface to the discrete data.

Subject Headings: Probability | Rainfall intensity | Hydraulic design | Hydraulic structures | Joints | Probability distribution | Curvature | Water discharge

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