Exponential Relationship of Rain-day Interval Cumulative Distribution
In this paper,the Rain-day Interval Cumulative Distribution(RICD)was investigated by season with the daily precipita-tion data of 4 meteorological stations in Shanxi Province from 1981 to 2021.A rain-day is a day with daily precipitation greater than or equal to 1 mm.It was found that there was an universal relationship of N/N0=A·exp(-c·t),where N was the number of the intervals between the adjacent rain-days with length longer than t,A and c were the positive fitting constants,and N0 was the total number of intervals.The A values ranged from 0.710 to 0.948,and there was no significant seasonal and spatial difference in A values.The c values ranged from 0.205 d-1 to 0.328 d-1 in summer,from 0.044 d-1 to 0.057 d-1 in winter.The c values in spring and autumn were close,ranging from 0.118 d-1 to 0.158 d-1.Assumed that the rain-day in a single season was a stationary independent random vari-able,the derived RICD was basically consistent with above results.