山西大学学报(自然科学版)2024,Vol.47Issue(2) :435-440.DOI:10.13451/j.sxu.ns.2023098

降雨日间隔累积分布指数关系

Exponential Relationship of Rain-day Interval Cumulative Distribution

郝丽珍 刘国梁 董刚 张峰 乔嘉伟
山西大学学报(自然科学版)2024,Vol.47Issue(2) :435-440.DOI:10.13451/j.sxu.ns.2023098

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
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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

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出版年

2024
山西大学学报(自然科学版)
山西大学

山西大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.287
ISSN:0253-2395
参考文献量18
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