Probability distribution of summer daily precipitation in the Huaihe basin of China based on Gamma distribution
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Abstract
The probability distribution of precipitation in the Huaihe basin (HB) is analyzed with the shape and scale parameters of a Gamma distribution. The summer daily precipitation records of 158 meteorological raingauges are applied over the HB during the period of 1980–2007, and the precipitation samples are classified into unconditional rainy days and conditional rainy days which have a dry or wet preceding day over the years. The Kolmogorov-Smirnov (K-S) test and the comparison between the Gamma distribution probability density function and the sample frequency of daily precipitation records of five representative stations are conducted and analyzed.
The results show that the HB is a “scale-dominated” region characterized with large scale parameters of the Gamma distribution, where rainfall is likely to exhibit large variability leading to extreme wet or dry conditions. Further analysis shows that the confluence area of Sha River and Ying River within the stream between Wangjiaba dam and Bengbu station, the eastern branch of the Huaihe River (HR) between Bengbu station and the Hongze Lake, and the downstream area below the Hongze Lake, are all the areas with a high probability of large precipitation under the condition that the rainy day has a dry preceding day. The eastern part of the Yishu River watershed and the region near Wangjiaba dam are the center of a high probability of large precipitation under the condition that the rainy day has a wet preceding day.
Moreover, the day following a dry preceding day has a greater probability of small rainfall. The probability distribution of summer daily precipitation of the HB is significantly skewed. The probability distribution could be more applicable if the rainy days are preceded by a dry or wet day.
Key words
daily precipitation wet/dry preceding day Gamma distribution probability distribution Huaihe basinPreview
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References
- Bi Baogui, Jiao Meiyan, and Li Zechun, 2004a: Contrast analysis of meteorological and hydrological features of extremely heavy rainfall causing severe floods in Huai River valley. Journal of Nanjing Institute of Meteorology, 27(5), 577–585. (in Chinese)Google Scholar
- —, —, and Liao Yaoming, 2004b: Analysis of precipitation and river flow in the Huaihe basin during the summer of 2003. J. Appl. Meteor. Sci., 15(6), 681–687. (in Chinese)Google Scholar
- Cheng Binyan, Xie Xiaoli, Zhu Yeyu, et al., 2003: A study on application of precipitation probability model in monitoring and assessment of drought and water logging. Journal of Catastrophology, 18(1), 20–25. (in Chinese)Google Scholar
- Cheng Huaqiong, 2004: The space-time change feature and physical factor of the rainstorm in Huaihe basin and the statistical forecast model. M.S. Thesis, Dept. of Atmospheric Science, Chinese Academy of Meteorological Sciences, Beijing, 60 pp. (in Chinese)Google Scholar
- Ding Yihui, 1993: The Research of the Persistent Heavy Rainfall in 1991 in Huaihe basin. Meteorological Press, Beijing, 47–65. (in Chinese)Google Scholar
- Gregory, J. H., J. Michaelsen, and C. Funk, 2007: Use of the gamma distribution to represent monthly rainfall in Africa for drought monitoring applications. Int. J. Climatol., 7, 935–944.Google Scholar
- Jiao Meiyan, Yao Xuexiang, Zhou Bing, et al., 2004: The Weather Analysis and Research of the Flood in 2003 in Huaihe River. Meteorological Press, Beijing, 29–42. (in Chinese)Google Scholar
- Katz, R., 1977: Precipitation as a chain-dependent process. J. Appl. Meteor., 16, 671–676.CrossRefGoogle Scholar
- Liang Shuxian, Yang Yaqun, and Xu Ming, 2001: The distribution of drought and flood in Huaihe basin from June to August, J. Hydrology, 21(2), 54–56. (in Chinese)Google Scholar
- Liu Xuehua, 2005: Analysis of the interdecadal variations of the probability distribution of temperature and precipitation in China in recent 40 years. Master thesis, Nanjing University of Information Science & Technology, Nanjing, 54 pp. (in Chinese)Google Scholar
- Su Buda, Marco Gemmer, Jiang Tong, et al., 2007: Probability distribution of precipitation extremes over the Yangtze River basin during 1960–2005. Advances in Climate Change Research, 3(4), 208–213. (in Chinese)Google Scholar
- Sun Jiliang, Qin Dayong, and Sun Hangguang, 2001: The General Model of the Hydrometeorological Statistics. The Waterpub Press, Beijing, 20–21. (in Chinese)Google Scholar
- Todorovic, W., 1975: A stochastic model of n-day precipitation. J. Appl. Meteor., 14, 17–24.CrossRefGoogle Scholar
- Wilks, D. S., 1995: Statistical Methods in the Atmospheric Sciences: An Introduction. Academic Press, San Diego, CA, 676 pp.Google Scholar
- Woolhiser, D. A., 1992: Modeling Daily Precipitation-Process and Problems. Statistics in the Environmental & Earth Sciences, Walden AT, Guttorp P. Halsted Press, London, 71–89.Google Scholar
- Wu Hongbao, Wang Panxing, and Lin Kaiping, 2004: Probability distribution of the maximum amount of daily precipitation in certain days in June and July for Guangxi. J. Trop. Meteor., 20(5), 586–592. (in Chinese)Google Scholar
- Zhang Ting and Wei Fengying, 2009: Probability distribution of precipitation extremes during raining seasons in South China. Acta Meteor. Sinica, 67(3), 442–451. (in Chinese)Google Scholar
- Zhang Yaocun, 1990: A stochastic distribution model of N-day precipitation amount. Journal of Nanjing Institute of Meteorology, 13(1), 23–31. (in Chinese)Google Scholar
- Zhao Linna, Yang Xiaodan, and Qi Dan, 2007: The analysis of precipitation and flooding features in the Huaihe basin during the summer of 2007. Climatic and Environmental Research, 12(6), 729–736. (in Chinese)Google Scholar
- —, Wu Hao, Tian Fuyou, et al., 2010: Assessment of probabilistic precipitation forecasts for Huaihe basin using TIGGE data. Meteor. Mon., 36(7), 133–142. (in Chinese)Google Scholar
- Zhu Guoren, 1998: The analysis of precipitation of the Huaihe basin. J. Hydrology, 1, 53–55. (in Chinese)Google Scholar