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. Choosing a probability distribution to represent daily precipitation depthsis important for precipitation frequency analysis, stochastic precipitationmodeling and in climate trend assessments. Early studies identified thetwo-parameter gamma (G2) distribution as a suitable distribution for wet-dayprecipitation based on the traditional goodness-of-fit tests. Here,probability plot correlation coefficients and L-moment diagrams are used toexamine distributional alternatives for the wet-day series of dailyprecipitation for hundreds of stations at the point and catchment scales inthe United States. Importantly, both Pearson Type-III (P3) and kappa (KAP)distributions perform very well, particularly for point rainfall. Our analysisindicates that the KAP distribution best describes the distribution ofwet-day precipitation at the point scale, whereas the performance of G2 andP3 distributions are comparable for wet-day precipitation at the catchmentscale, with P3 generally providing the improved goodness of fit over G2.Since the G2 distribution is currently the most widely used probabilitydensity function, our findings could be considerably important, especiallywithin the context of climate change investigations.

The probability distribution of daily precipitation at the point and catchment scales in the United States