降雨日间隔累积分布指数关系
Exponential Relationship of Rain-day Interval Cumulative Distribution
郝丽珍 1刘国梁 2董刚 3张峰 4乔嘉伟5
作者信息
- 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
- 折叠
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.
Abstract
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.
关键词
气象/降雨/随机变量/时间间隔/干旱评估Key words
Meteorology/precipitation/random variable/time interval/drought assessmen引用本文复制引用
出版年
2024