An estimation method for rainstorm return period based on short-sequence high-density station data and its application

The rainstorm return period is an important basis for urban drainage and flood control design, which is usually calculated by long-term observation data. However, under the circumstances of none or short-sequence observations, how to calculate the return period and evaluate rainstorm intensity is an important scientific issue that needs to be solved urgently. Based on high-density precipitation observations in Chongqing over the past 11 years, we establish an annual maximum daily rainfall data set. With the idea of "space trade for time", daily rainfall samples are bootstrapped and used for cross-validation with long-term national station data (more than 60 years) to select optimal percentile synthetic sample set of the target point. This method is referred to as the spatial bootstrap synthesis method (hereafter abbreviated as SBS). Comparing the calculated return period rainfall results between the original sequence and other various methods by using 34 stations with long-term observations in Chongqing on average, the relative error of the SBS is smaller than that of the other three methods including the nearest station replacement, Cressman interpolation and annual multi-sampling method. Among them, the SBS containing target point samples has the smallest relative error of 7.2%, and the nearest station replacement method has the largest relative error of 13.2%. This indicates that the SBS can be used well in Chongqing, a complex terrain area of China, to construct long-sequence extreme rainfall samples by making use of short-sequence high-density data from stations surrounding the target point, while the contrusted sequences can be used to fit the probability distribution function and calculate the rainfall return period. On this basis, the 50 a return period rainfall of 2062 high-density meteorological observation stations in Chongqing is calculated, which improves the spatial refinement level of daily extreme rainfall and better reflects the influence of mountainous terrain. The SBS can make full use of short-sequence high-density station precipitation data to estimate the rainfall return period at any target point in the region, and can be applied in municipal design, rainstorm disaster risk assessment, etc.