The Applicability of Several Distribution Functions Which used to Describe the Characteristics of Cumulative Precipitation in China

WU Zijun; ZHANG Qiang; SHI Yanjun; JIN Shiqiang; ZHANG Hongli

doi:10.7522/j.issn.1000-0534.2016.00079

2017 , Vol. 36 >Issue 5: 1221 - 1233

DOI: https://doi.org/10.7522/j.issn.1000-0534.2016.00079

The Applicability of Several Distribution Functions Which used to Describe the Characteristics of Cumulative Precipitation in China

WU Zijun ,
ZHANG Qiang ,
SHI Yanjun ,
JIN Shiqiang ,
ZHANG Hongli

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School of AtmosphericSciences, Lanzhou University, Lanzhou 730000, China;Lanzhou Institute of Arid Meteorology of Chinese Meteorological Administration, Lanzhou 730020, China;Lanzhou Institute of Arid Meteorology of Chinese Meteorological Administration, Lanzhou/Key Laboratory of Arid Climatic Changing and Reducing Disaster of Gansu Province/Open Laboratory of Arid Climatic Changing and Disaster of Chinese Meteorological Administration/Gansu Metrological Bureau, Lanzhou 730020, China;School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China;Department of Statistics, Kansas State University, Kansas State 66502, USA

Received date: 2015-12-28

Online published: 2017-10-28

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Abstract

In order to find out the best distribution to describe the characteristics of cumulative precipitation on multiple time scales in China, Gamma distribution, Generalized Extreme Value distribution (GEV distribution), Log-normal distribution, Weibull distribution, Normal distribution and Rayleigh distribution were chosen.On the six time scales of one, three, six, nine, twelve, twenty-four months, a nationwide K-S test was taken on these six distributions with the 1961-2013 monthly precipitation datas of 760 meteorological stations in China.The results show that among the six distributions, the GEV distribution is the most suitable function for describing the cumulative precipitation characteristics on every timescale in China, followed by Gamma distribution, Rayleigh distribution is the least suitable one.After a detailed discuss for every season and different part of China on one month time scale and three month time scale, it turned out that on the one month time scale, GEV distribution is better than Gamma distribution in spring, summer and autumn, while Gamma distribution is better than GEV distribution in winter, however, there are some exceptions in different climatic region of China in every season.On the three month time scale, GEV distribution is better than Gamma distribution in both summer and winter, as well as in all regions of China.

Key words： Cumulative precipita; Distribution functio; Multiple time scales

Cite this article

WU Zijun , ZHANG Qiang , SHI Yanjun , JIN Shiqiang , ZHANG Hongli . The Applicability of Several Distribution Functions Which used to Describe the Characteristics of Cumulative Precipitation in China[J]. Plateau Meteorology, 2017 , 36(5) : 1221 -1233 . DOI: 10.7522/j.issn.1000-0534.2016.00079

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