Abstract

A stochastic single storm pattern with a peak of rainfall is theoretically derived from the bivariate exponential probability density function defined by Freund. Two typical design storm patterns: backward peaked type and central peaked type are prescribed by three parameters: the reduced variate yP of the peak rainfall intensity, the autocorrelation index k, and the conditional probability F. A new conditional probability intensity-duration formula is proposed by integrating the given design storm hyetograph. Furthermore, a practical estimation method of the three parameters prescribing the design storm and the intensity-duration curve is clearly shown and demonstrated using actual rainfall data.

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