1470-1912年西北东部地区极端干旱事件的复原及分形特征研究

摘要/Abstract

摘要： 通过对西北东部地区1470-1912年干旱灾害历史资料的搜集整理，根据干旱发生强度、持续时间、发生范围，定义了强旱事件，建立了极旱因子模型，复原了443年西北东部地区极端干旱事件，并根据时间分形原理，挖掘出极旱事件时间序列的分维特征。经过对比分析得到以下结论：建立的模型结果与记载结果具有显著的相似性；全序列旱灾时间分维值随极旱强度的增加而降低，与极旱发生周期呈反位相关系；各类别极旱有自己的时间重演律，极旱程度越轻，无标度区越宽，分维值越高，短周期比较明显。

关键词: 西北东部地区, 极端干旱事件, 分形维数

Abstract: Northwest China has the lowest quantity of precipitation in the same latitude of the Northern Hemisphere and its main climatic disaster is drought. By using rich literature historical records in China to rebuild the chronology of extreme drought events and increase research on the evolution law of the drought not only can provide historical similarity of extreme climatic events that may occur in the future, but also has the important significance and value for preventing disasters and reducing damages. Because of the complexity of extreme drought, the simple linear theory and research methods can't meet the research of the complex system of natural disasters. In this paper, we used fractal theory to reproduce the original research object and research the self-similarity of extreme drought system. Studying the similarity of whole and partial, and finding the new order between macro and micro, between entirety and parts, can deepen our understanding of the characteristics of extreme drought and provide a new method to analyze the reasons of extreme drought events. Through collecting historical data about drought disasters from 1470 to 1912 in the eastern northwest China and the drought intensity, duration and range, we defined heavy drought events, built the factor model of extreme drought, reconstructed the extreme events of eastern northwest China for 443 years. Furthermore, by using scale transformation method, this paper calculated the time fractal dimension of different kinds of extreme droughts from 1470 to 1912 in the eastern northwest China, and mined the time series fractal dimension characteristics of extreme drought events and the relationship between fractal dimensions and distribution structure by using the least squares method, which is of great significance for overall understanding the regularity of occurrences of extreme drought events in northwest China and its occurrence and countermeasures. The results show:(1)There were 22 extreme drought events from 1470 to 1912, among which extreme drought of type I has the largest times, type II is second and type III is the least.(2)The temporal fractal dimension of the drought disasters of the whole series reduces with the increasing of extreme drought intensity, shows inverse correlation with extremely drought period. Different types of extreme drought events have their own recapitulation law in time domains: the lighter the drought degree is, the wider the scale-free area is; the higher the fractal dimension is, the more obvious the short period is. Extreme drought disasters have different levels and they have their respective time recapitulation law: the lower the level is, the shorter the time recapitulation law will be.(3)In the entire period, the dynamic of different levels of the extreme drought disasters present that the overall extreme drought, type I and type III underwent a series of evolution that occurred from disordered to ordered, and then gradually to non-equilibrium conditions from disordered to ordered; while the early type II distributed more orderly and then went into the state of disordered, finally its fractal dimension decreased and its extreme drought events became more concentrated.

Key words: eastern northwest China, extreme drought events, fractal dimension

中图分类号:

P426.616

毕硕本, 蒋婷婷, 钱育君, 瞿颖. 1470-1912年西北东部地区极端干旱事件的复原及分形特征研究[J]. 干旱区地理, 2017, 40(2): 248-256.

BI Shuo-ben, JIANG Ting-ting, QIAN Yu-jun, QU Ying. Recovery of extreme drought events and their fractal characteristics in the eastern Northwest China from 1470 to 1912[J]. , 2017, 40(2): 248-256.

参考文献

[1] PIERVITALI E, COLACINO M. Evidence of drought in western Sicily during the period 1565-1915 from liturgical offices[J]. Climatic change, 2001, 49(1-2):225-238.

[2] HEATHCOTE R L. Vegetation and climate interactions in semiarid regions[M]. Belgium:Kluwer Academic Publishers, 1991.

[3] 满志敏. 光绪三年北方大旱的气候背景[J]. 复旦大学学报(社会科学版), 2000, 6:28-36.[MAN Zhimin. Climatic background of the severe drought in 1877[J]. FUDAN Journal(Social Sciences), 2000, 6:28-36.]

[4] 张德二, 梁有叶. 1876-1878 年中国大范围持续干旱事件[J]. 气候变化研究进展, 2010, 6(2):106-112.[ZHANG De'er, LIANG Youye. A long lasting and extensive drought event over China during 1876-1878[J]. Advances in Climate Change Research, 2010, 6(2):106-112.]

[5] 谭徐明. 近500年我国特大旱灾的研究[J]. 防灾减灾工程学报, 2003, 23(2):7-83.[TAN Xuming. Study of major drought catastrophes in China in recent 500 years[J]. Journal of Disaster Prevention and Mitigation Engineering, 2003, 23(2):7-83.]

[6] 陈少勇, 郭江勇, 郭忠祥, 等. 中国西北干旱半干旱区年平均气温的时空变化规律分析[J]. 干旱区地理, 2009, 32(3):364- 372.[CHEN Shaoyong, GUO Jiangyong, GUO Zhongxiang, et al. Discipline of temporal and spatial variation of annual mean air temperature in arid and semiarid region in northwest China in the recent 46 years[J]. Arid Land Geography, 2009, 32(3): 364-372.]

[7] 黄斌, 王劲松, 张洪芬. 中国干旱区年与季风区夏季气温变化特征对比[J]. 干旱区地理, 2010, 33(6):874-878.[HUANG Bin, WANG Jinsong, ZHANG Hongfen. Comparion of summer temperature change characteristics between arid region and monsoon region in China in recent 46 years[J]. Arid Land Geography, 2010, 33(6):874-878.]

[8] 李红梅, 范建忠, 李星敏. 陕西近500 年极端干旱变化初步分析[J]. 陕西气象, 2011(2):35-37.[LI Hongmei, FAN Jianzhong, LI Xing. Preliminary analysis of extreme drought change in Shaanxi Province of nearly 500 years[J]. Journal of Shaanxi Meteorology, 2011(2):35-37.]

[9] 赵会霞, 郑景云, 葛全盛. 1755、1849 年苏皖地区重大洪涝事件复原分析[J]. 气象科学, 2004, 24(4):460-467.[ZHAO Huixia, ZHENG Jingyun, GE Quansheng. The reconstrucion of 1755 and 1849 severe flood events in Jiangsu and Anhui Provinces[J]. Scientia Meteorologica Sinica, 2004, 24(4):460-467.]

[10] 郑景云, 赵会霞. 清代中后期江苏四季降水变化与极端降水异常事件[J]. 地理研究, 2005, 24(5):673-680.[ZHENG Jingyun, ZHAO Huixia. Variation of seasonal precipitation and extreme events in Jiangsu Province during 1736-1908[J]. Geographical Research, 2005, 24(5):673-680.]

[11] 张德二, DEMAREE G. 1743 年华北夏季极端高温:相对温暖气候背景下的历史炎夏事件研究[J]. 科学通报, 2004, 49(21).[ZHANG De'er, DEMAREE G. The extreme high temperature in summer of 1742 in North China:research on historical hot summer events under the background of relative warm climate[J]. Chinese Science Bulletin, 2004, 49(21)．]

[12] 魏一鸣. 自然灾害复杂性研究[J]. 地理科学, 1998, 18(1): 25-31.[WEI Yiming. A research on the complexity of natural disasters[J]. Scientia Geographica Sinica, 1998, 18(1):25-31.]

[13] 朱晓华, 王健. 中国洪涝灾害及其灾情的分形与自组织结构研究[J]. 防灾技术高等专科学校学报, 2003, 5(1):10-16.[ZHU Xiaohua, WANG Jian. Research on flood disaster and its fractal and self-organizing structure[J]. J of College of Disaster-prevention Technique, 2003, 5(1):10-16.]

[14] 白虎志, 李耀辉, 董安祥, 等. 中国西北地区近500 年极端干旱事件:1470-2008[M]. 北京:气象出版社, 2011.[BAI Huzhi, LI Yaohui, DONG Anxiang, et al. Extreme drought events of nearly 500 years in Northwest China[M]. Beijing:China Meteorological Press, 2011.]

[15] KUNKEL K E, EASTERLING D R, KELLY REDMOND, et al. Temporal variations of extreme precipitation events in the United States:1895-2000[J]. GeoPhysical Research Letters, 2003, 30(17):1900.

[16] SHAO X, XU Y, YIN Z Y, et al. Climatic implications of a 3585-year tree-ring width chronology from the northeastern Qinghai- Tibetan Plateau[J]. Quaternary Science Reviews, 2010, 29 (17):2111-2122.

[17] WANG T, YANG B, BRAEUNING A, et al. Decadal-scale precipitation variations in arid and semiarid zones of northern China during the last 500 years[J]. Chinese Science Bulletin, 2004, 49(8):842-848.

[18] ZHANG P, CHENG H, EDWARDS R L, et al. A test of climate, sun,and culture relationships from an 1810-year Chinese cave record[J]. Science, 2008, 322(5903):940-942.

[19] ZHAI P M, SUN A, REN F, et al. Changes of climate extremes in China[J]. Climatic Change, 1999, 42:203-218.

[20] ZHANG De'er. A case study of the reality recovery on the historical severe winter and cool summer in China[J]. Chinese Science Abstracts:Technical Bulletin, 1997, 3(4):487-488.

[21] 赵红岩, 王有恒, 王兴, 等. 1961-2008 年中国西北东部旱涝异常分布及干旱变化特征[J]. 干旱区地理, 2012, 35(4):552- 556.[ZHAO Hongyan, WANG Youheng, WANG Xing, et al. Anomaly distribution of drought-flood and changing characteristics of arid over eastern northwest China during 1961-2008[J]. Arid Land Geography, 2012, 35(4):552-556.]

[22] 张德二. 中国近三千年气象记录总集[M]. 南京:凤凰出版社, 2004．[ZHANG De'er. A compendium of Chinese meteorological records of the last 3000 years[M]. Nanjing:Fenghuang Publishing House, 2004.]

[23] 张家诚. 中国历史气候学趋向成熟的标志——评《中国三千年气象记录总集》[J]. 科学通报, 2005, 50(5):503-505.[ZHANG Jiacheng. The sign of historical climatology trends maturity-on "A compendium of Chinese meteorological records of the last 3000 years"[J]. Chinese Science Bulletin, 2005, 50(5):503- 505.]

[24] 中国气象局气象科学研究院. 中国近五百年旱涝分布图集[M]. 北京:地图出版社, 1981.[Central Meteorological Bureau of China. Atlas of the drought/flood category for the last 500 years in China[M]. Beijing:Sinomaps Press, 1981.]

[25] 温克刚. 中国气象灾害大典·宁夏卷[M]. 北京:气象出版社, 2007.[WEN Kegang. Complete book of meteorological disasters in China(Ningxia volume)[M]. Beijing:China Meteorological Press, 2007.]

[26] 《陕西历史自然灾害简要纪实》编委会. 陕西历史自然灾害简要纪实[M]. 北京:气象出版社, 2002.[Editorial Board of Summary Record of Natural Disasters in History of Shaanxi. Summary record of natural disasters in history in Shaanxi[M]. Beijing: China Meteorological Press, 2002.]

[27] 水利电力部水管司、科技司, 水利水电科学研究院. 清代黄河流域洪涝档案史料[M]. 北京:中华书局, 1993.[Water Resources Management Division, Technology Division, Institute of Water Conservancy and Hydroelectric Power Research. Historical archives of Yellow River flood in Qing Dynasty[M]. Beijing: Zhonghua Book Commany, 1993.]

[28] 陇县地方志编纂委员会. 陇县志[M]. 西安:陕西人民出版社, 1993.[Long County Annals'Committee. Long County annals[M]. Xi'an:Shaanxi People's Press, 1993.]

[29] 凤翔县地方志编纂委员会. 凤翔县志[M]. 西安:陕西人民出版社, 1991.[Fengxiang County Annals'Committee. Fengxiang County annals[M]. Xi'an:Shaanxi People's Press, 1991.]

[30] 谭其骧. 中国历史地图集[M]. 北京:中国地图出版社, 1992.[TAN Qixiang. The historical atlas of China[M]. Beijing:Sino Maps Press, 1992.]

[31] 白虎志, 董安祥, 郑广芬, 等. 中国西北地区近500 年旱涝分布图集[M]. 北京:气象出版社, 2010.[BAI Huzhi, DONG Anxiang, ZHENG Guangfen, et al. Atlas of the drought/flood category for nearly 500 years in Northwesten China[M]. Beijing: China Meteorological Press, 2010.]

[32] 毕硕本, 钱育君, 陈昌春, 等. 1470-1912年西北东部地区旱涝等级重建序列的特征及对比分析[J]. 干旱区地理, 2016, 39(1): 12-21.[BI Shuoben, QIAN Yujun, CHEN Changchun. Characteristics and comparative analysis of reconstructed drought/flood grade sequence in the eastern Northwest China from 1470 to 1912[J]. Arid Land Geography, 2016, 39(1):12-21.]

[33] 魏凤英. 现代气候统计诊断与预测技术[M]. 北京:气象出版社, 1999.[WEI Fengying. Statistical diagnosis and forecast in model climate[M]. Beijing:China Meteorological Press, 1999.]

[34] 朱晓华, 李伟. 旱涝灾害的分形研究方法及其应用与前瞻[J]. 防灾技术高等专科学校学报, 2002, 4(3):22-29.[ZHU Xiaohua, LI Wei. A research on the fractal methods of drought and flood disasters and its application and prospect[J]. J of College of Disaster-prevention Technique, 2002, 4(3):22-29.]

[35] 朱晓华, 蔡运龙, 王建. 中国旱涝灾害的分形结构[J]. 地球科学进展, 2003, 15(4):509-514.[ZHU Xiaohua, CAI Yunlong, WANG Jian. On fractal characters of drought and flood of China[J]. Advance in Earth Sciences, 2003, 15(4):509-514.]

[36] 李伟, 黎洪德. 旱涝灾害的分形研究方法[J]. 灾害学, 2000, 15 (2):17-22.[LI Wei, LI Hongde. Fractal methods for study on dryness and wetness hazards[J]. Journal of Catastrophology, 2000, 15(2):17-22.]

[37] 李留藏, 蔡相展, 许闻天. 我国几次大震及震群活动的时间分维特征[J]. 地震研究, 1993, 16(3):229-238.[LI Liuzang, CAI Xiangzhan, XU Wentian. The fractal characteristics of time of Chinese several large earthquakes and earthquake swarm activities[J]. Journal of Seismological Research, 1993, 16(3):229- 238.]