Probability Distribution for the Summer Extreme Precipitation in the Qinghai-Tibetan Plateau

  • CAO Yu ,
  • YOU Qinglong ,
  • MA Qianrong ,
  • MENG Xianhong
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  • Key Laboratory of Meteorological Disaster, Ministry of Education(KLME)/Joint International Research Laboratory of Climate and Environment Change(ILCEC)/Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters(CIC-FEMD); Nanjing University of Information Science and Technology(NUIST), Nanjing 210044, China;Key Laboratory of Land Surface Process and Climate Change in Cold and Arid Regions, Chinese Academy of Sciences, Lanzhou 730000, China

Received date: 2016-09-09

  Online published: 2017-10-28

Abstract

Based on the homogenous historical precipitation dataset in the eastern and central Qinghai-Tibetan Plateau (QTP), the two-parameter and three-parameter Weibull distribution, generalized extreme value distribution, Pearson type-Ⅲ distribution and log-logistic distribution selected to fit the summer extreme precipitation indices to study the characteristics of the probability distribution of summer extreme precipitation indices over the QTP during 1961-2014.The results are showed as follows:The distribution of extreme precipitation decreased gradually from southeast to northwest of the eastern and central QTP, with a maximum center located in the southeast of Sichuan province, and the Rikeze station at southeast of Tibet Autonomous Region was the other max value center, while the minimum center was seated at the northwest of Qinghai province.Through the fitting of extreme precipitation indices by the extremum probability function, we found that different probability functions are fitted for different indices, and which probability function to choose is depends on the comparison of a variety probability function models combined with the actual physical sense.Then, Gumbel distribution was used to calculate different return levels of summer extreme precipitation indices, and it had the same spatial distribution of the 50 a and 100 a return levels that the precipitation was more at southeast and less at northwest of the region.After testing by moving t-test, R95 and R99 average value abruptly changed at the year 2006, and the extreme precipitation increased after 2006 according to the return level values of Gumbel probability distribution for summer extreme precipitation indices.

Cite this article

CAO Yu , YOU Qinglong , MA Qianrong , MENG Xianhong . Probability Distribution for the Summer Extreme Precipitation in the Qinghai-Tibetan Plateau[J]. Plateau Meteorology, 2017 , 36(5) : 1176 -1187 . DOI: 10.7522/j.issn.1000-0534.2016.00131

References

[1]Donald D D, Edward A. 1969. Maximum-likelihood estimation of parameters of signal-detection theory and determination of confidence intervals-Rating-method data[J]. Journal of Mathematical Psychology, 6(3):487-496.
[2]GumbelE J. Statistics of extremes[M]. Columbia University Press New York, 1-30.
[3]Elmar R R, Deng Y G. 1982. Heating of the Tibet Plateau and movements of the South Asian High during spring[J]. Mon Wea Rev, 110(11):1694-1711.
[4]Ashkar F, Mahdi S. 2006. Fitting the log-logistic distribution by generalized moments[J]. J Hydrol, 328(3):694-703.
[5]Wu Guoxiong, Liu Yimin. 2016. Impacts of the Tibetan Plateau on Asian climate[J]. Meteor Mon, 56(7):1-7.
[6]Klein J A, Hopping K A, Yeh E T, et al. 2014. Unexpected climate impacts on the Tibetan Plateau:Local and scientific knowledge in findings of delayed summer[J]. Global Environmental Change, 2014, 28(1):141-152.
[7]Rowinski P M, Strupczewski W G, Singh V P. 2002. A note on the applicability of log-Gumbel and log-logistic probability distributions in hydrological analyses:Ⅰ. Known pdf[J]. Hydrological Sciences Journal, 47(1):107-122.
[8]You Qinglong, Kang Shichang, Aguilar Enric, et al. 2008. Changes in daily climate extremes in the eastern and central Tibetan Plateau during 1961-2005[J]. J Geophys Res Atmos, 113(D7):1639-1647.
[9]Sinclair C D, Ahmad M I. 1988. Location-invariant poltting positions for PWM estimation of the parameters of the GEV distribution[J]. J Hydrol, 99(3/4):271-279.
[10]Nadarajah S, Choi D. 2007. Maximum daily rainfall in South Korea[J]. Journal of Earth System Science, 116(4):311-320.
[11]Cai Min, Ding Yuguo, Jiang Zhihong. 2007. Extreme precipitation experimentation over Eastern China based on L-moment estimation[J]. Plateau Meteor, 26(2):309-318.<br/>蔡敏, 丁裕国, 江志红. 2007.我国东部极端降水时空分布及其概率特征[J].高原气象, 26(2):309-318.
[12]Chen Jinming, Lu Guihua, Wu Zhiyong, et al. 2016. Change properties of summer extreme precipitation events and temperature and associated large-scale circulation China during 1960-2009[J]. Plateau Meteor, 35(3):675-684. DOI:10. 7522/j. issn. 1000-0534. 2015. 00072.<br/>陈金明, 陆桂华, 吴志勇, 等. 2016. 1960-2009年中国夏季极端降水事件与气温的变化及其环流特征[J].高原气象, 35(3):675-684.
[13]Chen Ling, Zhou Yunjun. 2015. Different physical properties of summer precipitation clouds over Qinghai-Xizang Plateau and Sichuan Basin[J]. Plateau Meteor, 34(3):621-632. DOI:10. 7522/j. issn. 1000-0534. 2014. 00036.<br/>陈玲, 周筠珺. 2015.青藏高原和四川盆地夏季降水云物理特性差异[J].高原气象, 34(3):621-632.
[14]Chen Zishen, Lu Jianfei, Liu Zengmei. 2012. Comparative analysis on three-parameter probability distribution modes for extreme precipitation in Guangdong Province[J]. Plateau Meteor, 51(1):102-106.<br/>陈子燊, 路剑飞, 刘曾美. 2012.广东极端降水的三参数概率分布模式对比[J].中山大学学报:自然科学版, 51(1):102-106.
[15]Chen Yun, Li Qiang, Li Zhechun. 2006. Climatic characteristics of heavy rainfall in the northeast Tibetan Plateau[J]. J Appl Meteor Sci, 17(suppl):98-103.<br/>谌芸, 李强, 李泽椿. 2006.青藏高原东北部强降水天气过程的气候特征分析[J].应用气象学报, 17(增刊):98-103.
[16]Ding Yuguo. 2006. Theoretical basis for discussing disaster disciplinarian the probability of extreme climate event[J]. Meteor Disaster Reduction Res, 29(1):44-50.<br/>丁裕国. 2006.探讨灾害规律的理论基础-极端气候事件概率[J].气象与减灾研究, 29(1):44-50.
[17]Dong Siyan, Gao Xuejie. 2014. Long-term climate change:Interpretation of IPCC fifth assessment report[J]. Adv Climate Change Res, 10(1):56-59.<br/>董思言, 高学杰. 2014.长期气候变化——IPCC第五次评估报告解读[J].气候变化研究进展, 10(1):56-59.
[18]Feng Song, Tang Maocang. 1998. New evidence for the Qinghai-Xizang (Tibet) Plateau as a pilot region of climatic fluctuation in China[J]. Chinese Sci Bull, 43(6):633-636.<br/>冯松, 汤懋苍. 1998.青藏高原是我国气候变化启动区的新证据[J].科学通报, 43(6):633-636.
[19]He Guangbi, Zeng Bo, Yu Shuhua, et al. 2016. Analysis of durative rainstorm characteristics occurred in the ambient area of Qinghai-Xizang Plateau[J]. Plateau Meteor, 35(4):865-874. DOI:10. 7522/j. issn. 1000-0534. 2015. 00081.<br/>何光碧, 曾波, 郁淑华, 等. 2016.青藏高原周边地区持续性暴雨特征分析[J].高原气象, 35(4):865-874.
[20]Lin Houbo, You Qinglong, Jiao Yang, et al. 2015. Spatial and temporal characteristics of the precipitation over the Tibetan Plateau from 1961 to 2010 based on high resolution grid-observation dataset[J]. J Natural Resour, 30(2):271-281.<br/>林厚博, 游庆龙, 焦洋, 等. 2015.基于高分辨率格点观测数据的青藏高原降水时空变化特征[J].自然资源学报, 30(2):271-281.
[21]Lin Houbo, You Qinglong, Jiao Yang, et al. 2016. Water vapor transportation and its influences on precipitation in summer over Qinghai-Xizang Plateau and its surroundings[J]. Plateau Meteor, 35(2):309-317. DOI:10. 7522/j. issn. 1000-0534. 2014. 00146.<br/>林厚博, 游庆龙, 焦洋, 等. 2016.青藏高原及附近水汽输送对其夏季降水影响的分析[J].高原气象, 35(2):309-317.
[22]Lu Heli, Shao Quanqin, Liu Jiyuan, et al. 2007. Temporo-spatial distribution of summer precipitation over Qinghai-Tibet Plateau during the last 44 years[J]. Acta Geograp Sinica, 62(9):946-958.<br/>卢鹤立, 邵全琴, 刘纪远, 等. 2007.近44年来青藏高原夏季降水的时空分布特征[J].地理学报, 62(9):946-958.
[23]Wang Yuanhong. 1999. The influence of Tibet Plateau on Climate in China[J]. Tibet Science and Technology. 87(5):59-60.<br/>王元红. 1999.青藏高原对我国天气气候的影响[J].西藏科技, 87(5):59-60.
[24]Wu Di, Wang Chenghai, He Guangbi. 2016. Gravity wave characteristics in two summer heavy rainfall in the Qinghai-Xizang Plateau[J]. Plateau Meteor, 35(4):854-864. DOI:10. 7522/j. issn. 1000-0534. 2015. 00066.<br/>吴迪, 王澄海, 何光碧. 2016.青藏高原地区夏季两次强降水过程中重力波特征分析[J].高原气象, 35(4):854-864.
[25]Wu Guoxiong, Duan Anmin, Zhang Xueqing, et al. 2013. Extreme weather and climate changes and its environmental effects over the Tibetan Plateau[J]. Chinese J Nature, 35(3):167-171.<br/>吴国雄, 段安民, 张雪芹, 等. 2013.青藏高原极端天气气候变化及其环境效应[J].自然杂志, 35(3):167-171.
[26]Wu Guoxiong, Mao Jiangyu, Duan Anmin, et al. 2004. Recent progress in the study on the impacts of Tibetan Plateau on Asian summer climate[J]. Acta Meteor Sinica, 62(5):528-540.<br/>吴国雄, 毛江玉, 段安民, 等. 2004.青藏高原影响亚洲夏季气候研究的最新进展[J].气象学报, 62(5):528-540.
[27]Wu Shaohong, Yin Yunhe, Zheng Du, et al. 2005. Climate changes in the Tibetan Plateau during the last three decades[J]. Acta Geograp Sinica, 60(1):3-11.<br/>吴绍洪, 尹云鹤, 郑度, 等. 2005.青藏高原近30年气候变化趋势[J].地理学报, 60(1):3-11.
[28]Xu Jianmin, Zheng Xinjiang, Xu Huan, et al. 1996. Upper tropospheric moisture distribution over the Tibetan Plateau as revealed from GMS-5 water vapour images[J]. Quart J Appl Meteor, 7(2):246-251.<br/>许健民, 郑新江, 徐欢, 等. 1996. GMS-5水汽图象气揭示的青藏高原地区对流层上部水汽分布特征[J].应用气象学报, 7(2):246-251.
[29]Yang Su, Li Qingxiang. 2014. Improvement in homogeneity analysis method and update of China precipitaion data[J]. Adv Climate Change Res, 10(4):276-281.<br/>杨溯, 李庆祥. 2014.中国降水量序列均一性分析方法及数据集更新完善[J].气候变化研究进展, 10(4):276-281.
[30]Zhang Lei, Miao Qilong. 2007. Precipitation changes in the Tibetan Plateau during the last four decades[J]. Arid Land Geography, 2007, 30(2):240-246.<br/>张磊, 缪启龙. 2007.青藏高原近40年来的降水变化特征[J].干旱区地理, 2007, 30(2):240-246.
[31]Zhang Shunqian, Ma Zhenfeng. 2011. Change tendency and cyclicity analysis of extreme precipitation over Sichuan Province during 1961-2009[J]. J Natural Resour, 26(11):1918-1929.<br/>张顺谦, 马振峰. 2011. 1961-2009年四川极端强降水变化趋势与周期性分析[J].自然资源学报, 26(11):1918-1929.
[32]Zhang Ting, Wei Fengying. 2009. Probability distribution of precipitation extremes during raining seasons in South China[J]. Acta Meteor Sinica, 67(3):442-451.<br/>张婷, 魏凤英. 2009.华南地区汛期极端降水的概率分布特征[J].气象学报, 67(3):442-451.
[33]Zhang Yanwei, Jiang Fengqing, Wei Wenshou, et al. 2012. Probability distribution of precipitation extremes over Xinjinag during 1961-2004[J]. J Desert Res, 32(2):503-508.<br/>张延伟, 姜逢清, 魏文寿, 等. 2012. 1961-2004年新疆降水极值概率分布特征[J].中国沙漠, 32(2):503-508.
[34]Zhang Yili, Li Bingyuan, Zheng Du. 2002. A discussion on the boundary and area of the Tibetan Plateau in China[J]. Geograp Res, 21(1):1-8.<br/>张镱锂, 李炳元, 郑度. 2002.论青藏高原范围与面积[J].地理研究, 21(1):1-8.
[35]Zhang Yuhu, Wang Chenxi, Liu Kaili, et al. 2015. Applicability of different probability distributions to estimated extreme rainfall[J]. Scientia Geograp Sinica, 35(11):1460-1467.<br/>张玉虎, 王琛茜, 刘凯利, 等. 2015.不同概率分布函数降雨极值的适用性分析[J].地理科学, 35(11):1460-1467.
[36]Zhao Xueyan, Wang Yaru, Zhang Qin, et al. 2015. Climatic characteristics of heavy precipitation events during summer half year over the Eastern Tibetan Plateau in recent 50 years[J]. Arid Land Gesgeraphy, 38(4):675-683.<br/>赵雪雁, 王亚茹, 张钦, 等. 2015.近50a青藏高原东部夏半年强降水事件的气候特征[J].干旱区地理, 38(4):675-683.
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