降雨日间隔累积分布指数关系  

Exponential Relationship of Rain-day Interval Cumulative Distribution

作　　者：郝丽珍[1] 刘国梁[2] 董刚[3] 张峰[4] 乔嘉伟 HAO Lizhen;LIU Guoliang;DONG Gang;ZHANG Feng;QIAO Jiawei(Department of Computer Engineering,Taiyuan University,Taiyuan 030032,China;School of Environmental Sciences and Resources,Shanxi University,Taiyuan 030006,China;School of Life Science,Shanxi University,Taiyuan 030006,China;Institute of Loess Plateau,Shanxi University,Taiyuan 030006,China;Shanxi Meteorological Information Center,Taiyuan 037006,China)

机构地区：[1]太原学院计算机工程系,山西太原030032 [2]山西大学环境与资源学院,山西太原030006 [3]山西大学生命科学学院,山西太原030006 [4]山西大学黄土高原研究所,山西太原030006 [5]山西省气象信息中心,山西太原037006

出　　处：《山西大学学报（自然科学版）》2024年第2期435-440,共6页Journal of Shanxi University(Natural Science Edition)

摘　　要：利用山西省4个气象站1981—2021年的逐日降雨资料,分季节探讨了“降雨日”(日降雨量≥1 mm)间隔累积分布。发现存在N/N0=A•exp(-c•t),其中N是相邻“降雨日”间隔大于t的个数,A与c是正拟合常数,N0是“间隔”总个数。A值在0.710至0.948之间,且无明显季节和空间差异。c值,夏季范围约在0.205 d^(-1)至0.328 d^(-1)之间;冬季范围约在0.044 d^(-1)至0.057 d^(-1)之间;春季和秋季接近,范围约在0.118 d^(-1)至0.158 d^(-1)之间。假设单一季节“降雨日”为平稳独立随机变量,推导的“降雨日”间隔累积分布与上述结果基本吻合。In this paper,the Rain-day Interval Cumulative Distribution(RICD)was investigated by season with the daily precipitation 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 variable,the derived RICD was basically consistent with above results.

关 键 词：气象 降雨 随机变量 时间间隔 干旱评估 

分 类 号：P426.6[天文地球—大气科学及气象学]