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Research on drought in southwest China based on the theory of run and two-dimensional joint distribution theory

Zuo Dong-Dong Hou Wei Yan Peng-Cheng Feng Tai-Chen

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Research on drought in southwest China based on the theory of run and two-dimensional joint distribution theory

Zuo Dong-Dong, Hou Wei, Yan Peng-Cheng, Feng Tai-Chen
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  • Based on the standardized precipitation index data of 89 meteorological stations in southwest China (Sichuan Province, Yunnan Province, Guizhou Province, Chongqing) during 1961-2010, the probability and interval time were analyzed by employing the theory of run and the Copula function. The droughts with duration less than 4 months and the severity less than 3 account for 80% of all the droughts in southwest China. Drought types are mainly light within a month, moderate within a month, severe within a season and severe within inter-seasons. The frequency of occurring of drought with a duration less than 3 months and the severity less than 1 is higher in the eastern and western areas, and the central region has higher frequencies of occurrence of drought with a duration greater than 3 months and with severity greater than 1.5. Return periods of drought in eastern and western areas are longer than that of central region. More obvious spatial difference appears with longer duration and greater severity. The probability differences of the same drought type in different climatic types are within 0.05, indicating that there is no wide-range fluctuation in the occurrence probabilities of all the drought types as the time goes on.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 41305056, 41175067) and the National Basic Research Program of China (Grant No. 2012CB955901).
    [1]

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    [2]

    Qian W H, Shan X L, Zhu Y F 2011 Adv. Atmos. Sci. 28 310

    [3]

    Xin X G, Yu R C, Zhou T J, Wang B 2006 J. Climate 19 3197

    [4]

    Xin X G, Yu R C, Zhou T J 2009 Chin. J. Atmos. Sci. 33 1165 (in Chinese) [辛晓歌, 宇如聪, 周天军 2009 大气科学 33 1165]

    [5]

    Yu W J, Shao M Y, Ren M L, Zhou H J, Jiang Z H, Li D L 2013 Acta Ecol. Sin. 33 317

    [6]

    Yang J, Gong D Y, Wang W S, Hu M, Mao R 2012 Meteorol. Atmos. Phys. 115 173

    [7]

    Huang R H, Liu Y, Wang L, Wang L 2012 Chin. J. Atmos. Sci. 36 443 (in Chinese) [黄荣辉, 刘永, 王林, 王磊 2012 大气科学 36 443]

    [8]

    Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese) [封国林, 戴新刚, 王爱慧, 丑纪范 2001 50 606]

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    Huang J P, Yi Y H, Wang S W, Chou J F 1993 Quart. J. Roy. Meteorol. Soc. 119 547

    [10]

    Huang J P, Minnis P, Yan H, Yi Y, Chen B, Zhang L, Ayers J K 2010 Atmos. Chem. Phys. 10 6863

    [11]

    Huang J P, Guan X, Ji F 2012 Atmos. Chem. Phys. 12 5391

    [12]

    Dai X G, Wang P, Zhang K J 2013 Acta Phys. Sin. 62 129201 (in Chinese) [戴新刚, 汪萍, 张凯静 2013 62 129201]

    [13]

    Dai X G, Zhang K J 2012 Acta Phys. Sin. 61 199201 (in Chinese) [戴新刚, 张凯静 2012 61 199201]

    [14]

    McKee T B, Doesken N J, Kleist J 1993 Eighth Conference on Applied Climatology Anaheim, USA, January 17-22, 1993 p179

    [15]

    McKee T B, Doesken N J, Kleist J 1995 9th AMS Conference on Applied Climatology Dallas, USA, January 15-20, 1995 p233

    [16]

    Kangas R S, Brown T J 2007 Int. J. Climatol. 27 1303

    [17]

    Alley W M 1985 J. Am. Water Resour. Assoc. 21 105

    [18]

    Lana X, Burgueno A 1998 Int. J. Climatol. 18 93

    [19]

    Hou W, Zhang C J, Gao G 2013 Arid Zone Res. 30 74 (in Chinese) [侯威, 张存杰, 高歌 2013 干旱区研究 30 74]

    [20]

    Sklar A 1959 Fonctions de Répartition àn Dimensions et Leurs Marges (Paris: Publications de l'Institut de Statistique de L'Université de Paris) pp229-231

    [21]

    Liu C L, Zhang Q, Vijay P S, Cui Y 2011 Nat. Hazards 59 1533

    [22]

    Shiau J T, Reza M, Saralees N 2012 Environ. Model. Assess. 17 469

    [23]

    Ummul F A R, Panlop Z 2014 Theor. Appl. Climatol. 115 153

    [24]

    Kao S C, Rao S G 2010 J. Hydrol. 380 121

    [25]

    Li J, Li Y, Song S B, Cui C F 2012 J. China Hydrol. 32 43 (in Chinese) [李计, 李毅, 宋松柏, 崔晨风 2012 水文 32 43]

    [26]

    Liu J G, Wan J H, Tan X M, Ma J M, Zhang N Q 2011 J. Disaster Preven. Miti. Eng. 31 196 (in Chinese) [刘建刚, 万金红, 谭徐明, 马建明, 张念强 2011 防灾减灾工程学报 31 196]

    [27]

    Li Y H, Xu H M, Liu D 2009 Acta Meteorol. Sin. 67 122 (in Chinese) [李永华, 徐海明, 刘德 2009 气象学报 67 122]

    [28]

    Song J, Yang H, Li C Y 2011 Chin. J. Atmos. Sci. 35 1009 (in Chinese) [宋洁, 杨辉, 李崇银 2011 大气科学 35 1009]

    [29]

    Herbst P H, Bredenkamp D B, Barker H M G 1966 J. Hydrol. 4 264

    [30]

    Guttman N B 1998 J. Am. Water Resour. Assoc. 34 113

    [31]

    Mohan S, Rangacharya N C V 1991 Hydrol. Sci. J. 36 11

    [32]

    Shen H W, Guillermo Q T 1995 J. Hydraul. Eng. 121 413

    [33]

    Zelenhastić E, Salvai A 1987 Water Resour. Res. 23 156

    [34]

    Shiau J T, Hsieh W S 2001 J. Water Resour. Plann. Manage. 127 30

    [35]

    Fu G T, David B 2014 J. Hydrol. 510 49

    [36]

    Zhang L, Singh V P 2007 J. Hydrol. 332 93

  • [1]

    Gao H, Yang S 2009 J. Geophys. Res. 114 D24104

    [2]

    Qian W H, Shan X L, Zhu Y F 2011 Adv. Atmos. Sci. 28 310

    [3]

    Xin X G, Yu R C, Zhou T J, Wang B 2006 J. Climate 19 3197

    [4]

    Xin X G, Yu R C, Zhou T J 2009 Chin. J. Atmos. Sci. 33 1165 (in Chinese) [辛晓歌, 宇如聪, 周天军 2009 大气科学 33 1165]

    [5]

    Yu W J, Shao M Y, Ren M L, Zhou H J, Jiang Z H, Li D L 2013 Acta Ecol. Sin. 33 317

    [6]

    Yang J, Gong D Y, Wang W S, Hu M, Mao R 2012 Meteorol. Atmos. Phys. 115 173

    [7]

    Huang R H, Liu Y, Wang L, Wang L 2012 Chin. J. Atmos. Sci. 36 443 (in Chinese) [黄荣辉, 刘永, 王林, 王磊 2012 大气科学 36 443]

    [8]

    Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese) [封国林, 戴新刚, 王爱慧, 丑纪范 2001 50 606]

    [9]

    Huang J P, Yi Y H, Wang S W, Chou J F 1993 Quart. J. Roy. Meteorol. Soc. 119 547

    [10]

    Huang J P, Minnis P, Yan H, Yi Y, Chen B, Zhang L, Ayers J K 2010 Atmos. Chem. Phys. 10 6863

    [11]

    Huang J P, Guan X, Ji F 2012 Atmos. Chem. Phys. 12 5391

    [12]

    Dai X G, Wang P, Zhang K J 2013 Acta Phys. Sin. 62 129201 (in Chinese) [戴新刚, 汪萍, 张凯静 2013 62 129201]

    [13]

    Dai X G, Zhang K J 2012 Acta Phys. Sin. 61 199201 (in Chinese) [戴新刚, 张凯静 2012 61 199201]

    [14]

    McKee T B, Doesken N J, Kleist J 1993 Eighth Conference on Applied Climatology Anaheim, USA, January 17-22, 1993 p179

    [15]

    McKee T B, Doesken N J, Kleist J 1995 9th AMS Conference on Applied Climatology Dallas, USA, January 15-20, 1995 p233

    [16]

    Kangas R S, Brown T J 2007 Int. J. Climatol. 27 1303

    [17]

    Alley W M 1985 J. Am. Water Resour. Assoc. 21 105

    [18]

    Lana X, Burgueno A 1998 Int. J. Climatol. 18 93

    [19]

    Hou W, Zhang C J, Gao G 2013 Arid Zone Res. 30 74 (in Chinese) [侯威, 张存杰, 高歌 2013 干旱区研究 30 74]

    [20]

    Sklar A 1959 Fonctions de Répartition àn Dimensions et Leurs Marges (Paris: Publications de l'Institut de Statistique de L'Université de Paris) pp229-231

    [21]

    Liu C L, Zhang Q, Vijay P S, Cui Y 2011 Nat. Hazards 59 1533

    [22]

    Shiau J T, Reza M, Saralees N 2012 Environ. Model. Assess. 17 469

    [23]

    Ummul F A R, Panlop Z 2014 Theor. Appl. Climatol. 115 153

    [24]

    Kao S C, Rao S G 2010 J. Hydrol. 380 121

    [25]

    Li J, Li Y, Song S B, Cui C F 2012 J. China Hydrol. 32 43 (in Chinese) [李计, 李毅, 宋松柏, 崔晨风 2012 水文 32 43]

    [26]

    Liu J G, Wan J H, Tan X M, Ma J M, Zhang N Q 2011 J. Disaster Preven. Miti. Eng. 31 196 (in Chinese) [刘建刚, 万金红, 谭徐明, 马建明, 张念强 2011 防灾减灾工程学报 31 196]

    [27]

    Li Y H, Xu H M, Liu D 2009 Acta Meteorol. Sin. 67 122 (in Chinese) [李永华, 徐海明, 刘德 2009 气象学报 67 122]

    [28]

    Song J, Yang H, Li C Y 2011 Chin. J. Atmos. Sci. 35 1009 (in Chinese) [宋洁, 杨辉, 李崇银 2011 大气科学 35 1009]

    [29]

    Herbst P H, Bredenkamp D B, Barker H M G 1966 J. Hydrol. 4 264

    [30]

    Guttman N B 1998 J. Am. Water Resour. Assoc. 34 113

    [31]

    Mohan S, Rangacharya N C V 1991 Hydrol. Sci. J. 36 11

    [32]

    Shen H W, Guillermo Q T 1995 J. Hydraul. Eng. 121 413

    [33]

    Zelenhastić E, Salvai A 1987 Water Resour. Res. 23 156

    [34]

    Shiau J T, Hsieh W S 2001 J. Water Resour. Plann. Manage. 127 30

    [35]

    Fu G T, David B 2014 J. Hydrol. 510 49

    [36]

    Zhang L, Singh V P 2007 J. Hydrol. 332 93

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Publishing process
  • Received Date:  08 June 2014
  • Accepted Date:  17 July 2014
  • Published Online:  05 December 2014

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