用单键群方法研究中国地震时空分布的统计特征
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摘要
为研究中国地震分布的时空特征，采用时空联合的单键群（ＳＬＣ）方法，计算了１９７０－１９９８年３月间该区域发生的４级和４级以上地震的时空ＳＬＣ构架．对时空ＳＬＣ构架所做的统计分析表明：①截止键长Ｄ在 ５０－８０ｋｍ范围内时，地震集团的个数 Ｔ（ｎ）与集团的大小 ｎ（所含地震个数）之间是自相似分布．在６５ ｋｍ附近，ｌｇＴ（ｎ）与 ｌｇｎ之间的线性相关性最好；②构架的累计键长符合Ｗｅｉｂｕｌｌ分布；③在删除前震和余震之后，构架的累计键数也服从Ｗｅｉｂｕｌｌ分布．
According to the principle of minimal spanning tree, a procedure of Single-Link Ouster (SLC) method is provided and applied to a vast amount of earthquakes occurred in China from 1970 to March 1998. In the bine-space SLC frame, the number of clusters T(n) decreases as increasing of the number of events n in each cluster. It Shows power-law decay. The relative accumulative length of links in the frame has a Weibull distribution. After the pre-shocks and after shocks are removed from the catalogue, the relative cumulative frequency of links obeys the same law too.
According to the principle of minimal spanning tree, a procedure of Single-Link Ouster (SLC) method is provided and applied to a vast amount of earthquakes occurred in China from 1970 to March 1998. In the bine-space SLC frame, the number of clusters T(n) decreases as increasing of the number of events n in each cluster. It Shows power-law decay. The relative accumulative length of links in the frame has a Weibull distribution. After the pre-shocks and after shocks are removed from the catalogue, the relative cumulative frequency of links obeys the same law too.
引文
[1]王炜,刘震华.地震时间间隔的统计分布及其地震危险度D值在华北大震前的异常变化.地震学报,1987, 9(2):113-127.WANG Wei, LIU Zhen-Hua. The statistical distribution of time intervals between two successiveearthquakes and abnormal variation of the D-value, the degree of seismic danger prior to several greaterearthquakes in north China, Acta Seismologica Sinica (in Chinese), 1987, 9(2): 113-127.
[2]顾方琦.地震空间集中度的另一种表示方法及其在地震预报中的应用.地震,1985,(4):1-8.GU Fang-Qi. Another expression method of spacial concentratedness of earthquakes and its application toearthquake prediction. Earthquake (in Chinese), 1985, (4): 1-8.
[3]王炜,潘坚云,黄冰树地震空间集中度C值及其在地震预报中的应用见;许绍燮等编.地震预报实用化研究文集:地震学专集,北京:学术书刊出版社,1989,127-141.WANG Wei, PAN Jian-Yun, HUANG Bing-Shu. Seismic spacial concentrative degree C-value and itsapplication to earthquake prediction. In: XU Shao-Xie et al. ed. Collected papers of methods on practisingearthquake prediction: Special in Seismology (in Chinese). Beijing: Academic Books Press, 1989, 127-141.
[4]王炜,许跃明,林命周等.1996年 11月 9日南黄海 6.1级地震前的地震活动异常.地震, 1997,17(4): 357-363WANG Wei, XU Yue-Ming, LIN Ming-Zhou, et al. Seismicity anomaly before southern yellow seaearthquake (Ms= 6.1) on November 9, 1996. Earthquake (in Chinese), 1997, 17(4):357-363.
[5]戴维乐,王炜.地震空间集中度C值与地震危险度D值在华北中强以上地震前的短期异常变化.地震研究,1998,21(2):134-139.DAI Wei-Le, WANG Wei. Short term anomaly variation of spacial scanning of seismic concentrationdegree C-value and seismic dangerous degree D-value before moderate-strong earthquake in north China.Journal of Seismological Research (in Chinese), 1998, 21(2): 134-139.
[6] Frohlich C, Davis S D. Single-link cluster analysis as a method to evaluate spatial and temporal propertiesof earthquake catalogues. Geophys. J. Int.,1990, 100: 19-32.
[7]周蕙兰,刘振,高原单键群方法与昆仑山-阿尔金山弧型构造顶部地震时空群集特征.中国地震,1997,13(3);197-206.ZHOU Hui-Lan, LIU Zhen, GAO Yuan. SLC method and earthquakes' clustering features in time -space inthe top area of Kunlun-Altun-Arc.Earthquake Research in China (in Chinese), 1997, 13(3): 197-206.
[8] Davis S D, Frohlich C. Single-link cluster analysis, synthetic catalogues and after-shock identification,Geophys.J. Int., 1991, 104:289-386.
[9]刘振,周蕙兰.单键群方法的算法研究和程序实现.中国科学院研究生院学报, 1997,14(1) 57-65.LIU Zhen, ZHOU Hui-Lan. Study on single-link cluster algorithm and its implementation. Journal ofGraduate School, Academia Sinica (in Chinese), 1997, 14(1):57-65.
[10] Gower J C, Ross G J S. Minimum spanning trees and single linkage cluster analysis, Appl. Statist., 1969,18: 54-64.
[11]陈.分形几何与地球科学华南地震,1995,15(4):87-94.CHEN Yong. Fractal geometry and geoscience.South China Journal of Seismology (in Chinese), 1995,15(4): 87-94.
[2]顾方琦.地震空间集中度的另一种表示方法及其在地震预报中的应用.地震,1985,(4):1-8.GU Fang-Qi. Another expression method of spacial concentratedness of earthquakes and its application toearthquake prediction. Earthquake (in Chinese), 1985, (4): 1-8.
[3]王炜,潘坚云,黄冰树地震空间集中度C值及其在地震预报中的应用见;许绍燮等编.地震预报实用化研究文集:地震学专集,北京:学术书刊出版社,1989,127-141.WANG Wei, PAN Jian-Yun, HUANG Bing-Shu. Seismic spacial concentrative degree C-value and itsapplication to earthquake prediction. In: XU Shao-Xie et al. ed. Collected papers of methods on practisingearthquake prediction: Special in Seismology (in Chinese). Beijing: Academic Books Press, 1989, 127-141.
[4]王炜,许跃明,林命周等.1996年 11月 9日南黄海 6.1级地震前的地震活动异常.地震, 1997,17(4): 357-363WANG Wei, XU Yue-Ming, LIN Ming-Zhou, et al. Seismicity anomaly before southern yellow seaearthquake (Ms= 6.1) on November 9, 1996. Earthquake (in Chinese), 1997, 17(4):357-363.
[5]戴维乐,王炜.地震空间集中度C值与地震危险度D值在华北中强以上地震前的短期异常变化.地震研究,1998,21(2):134-139.DAI Wei-Le, WANG Wei. Short term anomaly variation of spacial scanning of seismic concentrationdegree C-value and seismic dangerous degree D-value before moderate-strong earthquake in north China.Journal of Seismological Research (in Chinese), 1998, 21(2): 134-139.
[6] Frohlich C, Davis S D. Single-link cluster analysis as a method to evaluate spatial and temporal propertiesof earthquake catalogues. Geophys. J. Int.,1990, 100: 19-32.
[7]周蕙兰,刘振,高原单键群方法与昆仑山-阿尔金山弧型构造顶部地震时空群集特征.中国地震,1997,13(3);197-206.ZHOU Hui-Lan, LIU Zhen, GAO Yuan. SLC method and earthquakes' clustering features in time -space inthe top area of Kunlun-Altun-Arc.Earthquake Research in China (in Chinese), 1997, 13(3): 197-206.
[8] Davis S D, Frohlich C. Single-link cluster analysis, synthetic catalogues and after-shock identification,Geophys.J. Int., 1991, 104:289-386.
[9]刘振,周蕙兰.单键群方法的算法研究和程序实现.中国科学院研究生院学报, 1997,14(1) 57-65.LIU Zhen, ZHOU Hui-Lan. Study on single-link cluster algorithm and its implementation. Journal ofGraduate School, Academia Sinica (in Chinese), 1997, 14(1):57-65.
[10] Gower J C, Ross G J S. Minimum spanning trees and single linkage cluster analysis, Appl. Statist., 1969,18: 54-64.
[11]陈.分形几何与地球科学华南地震,1995,15(4):87-94.CHEN Yong. Fractal geometry and geoscience.South China Journal of Seismology (in Chinese), 1995,15(4): 87-94.
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