Bi J M, Jiang C S. 2017. Evaluation on the forecasting effectiveness of short-term aftershock occurrence rate and forecasting strategies at the junction of Shanxi, Hebei and Inner Mongolia. Progress in Geophysics (in Chinese), 32(1): 8-17, doi: 10.6038/pg20170102.

Bi J M, Jiang C S. 2019. Distribution characteristics of earthquake sequence parameters in North China. Chinese Journal of Geophysics (in Chinese), 62(11): 4300-4312, doi: 10.6038/cjg2019M0453.

Bi J M, Jiang C S. 2020. Research on the forecasting strategy of early aftershocks in North China. Annals of Geophysics, 63(4): SE441, doi: 10.4401/ag-8380.

Console R, Jackson D D, Kagan Y Y. 2010. Using the ETAS model for catalog declustering and seismic background assessment. Pure and Applied Geophysics, 167(6): 819-830.

Enescu B, Enescu D, Ito K. 2011. Values of b and p: their variations and relation to physical processes for earthquakes in Japan and Romania. Romanian Journal of Physics, 56(3-4): 590-608.

Gardner J K, Knopoff L. 1974. Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian?. Bulletin of the Seismological Society of America, 64(5): 1363-1367. doi: 10.1785/BSSA0640051363

Gentili S, Di Giovambattista R. 2017. Pattern recognition approach to the subsequent event of damaging earthquakes in Italy. Physics of the Earth and Planetary Interiors, 266: 1-17. doi: 10.1016/j.pepi.2017.02.011

Gentili S, Di Giovambattista R. 2020. Forecasting strong aftershocks in earthquake clusters from northeastern Italy and western Slovenia. Physics of the Earth and Planetary Interiors, 303: 106483, doi: 10.1016/j.pepi.2020.106483.

Gutenberg R, Richter C F. 1944. Frequency of earthquakes in California. Bulletin of the Seismological Society of America, 34(4): 185-188. doi: 10.1785/BSSA0340040185

Helmstetter A, Kagan Y Y, Jackson D D. 2006. Comparison of short-term and time-independent earthquake forecast models for southern California. Bulletin of the Seismological Society of America, 96(1): 90-106. doi: 10.1785/0120050067

Japan Meteorological Agency (JMA). 2009. The Iwate-Miyagi Nairiku earthquake in 2008. Tokyo: JMA, 101-131.

Jiang C S, Wu Z L. 2011. Intermediate-term medium-range Accelerating Moment Release (AMR) priori to the 2010 Yushu MS7.1 earthquake. Chinese Journal of Geophysics (in Chinese), 54(6): 1501-1510, doi: 10.3969/j.issn.0001-5733.2011.06.009.

Jiang C S, Wu Z L, Yin F L, et al. 2015. Stability of early-estimation sequence parameters for continuous forecast of the aftershock rate: a case study of the 2014 Ludian, Yunnan MS6.5 earthquake. Chinese Journal of Geophysics (in Chinese), 58(11): 4163-4173, doi: 10.6038/cjg20151123.

Jiang C S, Zhuang J C, Wu Z L, et al. 2017. Application and comparison of two short-term probabilistic forecasting models for the 2017 Jiuzhaigou, Sichuan, MS7.0 earthquake. Chinese Journal of Geophysics (in Chinese), 60(10): 4132-4144, doi: 10.6038/cjg20171038.

Jiang C S, Bi J M, Wang F C, et al. 2018. Application of the Omi-R-J method for forecast of early aftershocks to the 2017 Jiuzhaigou, Sichuan, MS7.0 earthquake. Chinese Journal of Geophysics (in Chinese), 61(5): 2099-2110, doi: 10.6038/cjg2018M0113.

Kagan Y Y, Jackson D D. 1995. New seismic gap hypothesis: five years after. Journal of Geophysical Research: Solid Earth, 100(B3): 3943-3959. doi: 10.1029/94JB03014

Lü X J, Gao M T, Gao Z W, et al. 2007. Comparison of the spatial distribution of ground motion between main shocks and strong aftershocks. Acta Seismologica Sinica (in Chinese), 29(3): 295-301.

Marzocchi W, Lombardi A M. 2009. Real-time forecasting following a damaging earthquake. Geophysical Research Letters, 36(21): L21302, doi: 10.1029/2009GL040233.

Nanjo K Z, Tsuruoka H, Yokoi S, et al. 2012. Predictability study on the aftershock sequence following the 2011 Tohoku-Oki, Japan, earthquake: first results. Geophysical Journal International, 191(2): 653-658, doi: 10.1111/j.1365-246X.2012.05626.x.

Ogata Y. 1989. Statistical model for standard seismicity and detection of anomalies by residual analysis. Tectonophysics, 169(1-3): 159-174. doi: 10.1016/0040-1951(89)90191-1

Ogata Y, Katsura K. 1993. Analysis of temporal and spatial heterogeneity of magnitude frequency distribution inferred from earthquake catalogues. Geophysical Journal International, 113(3): 727-738. doi: 10.1111/j.1365-246X.1993.tb04663.x

Ogata Y, Katsura K, Falcone G, et al. 2013. Comprehensive and topical evaluations of earthquake forecasts in terms of number, time, space, and magnitude. Bulletin of the Seismological Society of America, 103(3): 1692-1708, doi: 10.1785/0120120063.

Omi T, Ogata Y, Hirata Y, et al. 2013. Forecasting large aftershocks within one day after the main shock. Scientific Reports, 3(1): 2218, doi: 10.1038/srep02218.

Omi T, Ogata Y, Hirata Y, et al. 2015. Intermediate-term forecasting of aftershocks from an early aftershock sequence: Bayesian and ensemble forecasting approaches. Journal of Geophysical Research: Solid Earth, 120(4): 2561-2578, doi: 10.1002/2014JB011456.

Omi T, Ogata Y, Shiomi K, et al. 2016. Automatic aftershock forecasting: a test using real-time seismicity data in Japan. Bulletin of the Seismological Society of America, 106(6): 2450-2458, doi: 10.1785/0120160100.

Omori F. 1894. On aftershocks of earthquakes. Journal of the College of Science, Imperial University of Tokyo, 7: 111-200.

Peng Z G, Vidale J E, Houston H. 2006. Anomalous early aftershock decay rate of the 2004 Mw6.0 Parkfield, California, earthquake. Geophysical Research Letters, 33(17): L17307, doi: 10.1029/2006GL026744.

Reasenberg P A, Jones L M. 1989. Earthquake hazard after a mainshock in California. Science, 243(4895): 1173-1176. doi: 10.1126/science.243.4895.1173

Schorlemmer D, Gerstenberger M C, Wiemer S, et al. 2007. Earthquake likelihood model testing. Seismological Research Letters, 78(1): 17-29. doi: 10.1785/gssrl.78.1.17

Schorlemmer D, Werner M J, Marzocchi W, et al. 2018. Thecollaboratory for the study of earthquake predictability: achievements and priorities. Seismological Research Letters, 89(4): 1305-1313. doi: 10.1785/0220180053

Shcherbakov R, Turcotte D L. 2004. A modified form of Båth′s law. Bulletin of the Seismological Society of America, 94(5): 1968-1975, doi: 10.1785/012003162.

Shcherbakov R, Zhuang J C, Ogata Y. 2018. Constraining the magnitude of the largest event in a foreshock-main shock-aftershock sequence. Geophysical Journal International, 212(1): 1-13. doi: 10.1093/gji/ggx407

Shebalin P, Narteau C. 2017. Depth dependent stress revealed by aftershocks. Nature Communications, 8(1): 1317, doi: 10.1038/s41467-017-01446-y.

Sornette D, Knopoff L, Kagan Y Y, et al. 1996. Rank-ordering statistics of extreme events: application to the distribution of large earthquakes. Journal of Geophysical Research: Solid Earth, 101(B6): 13883-13893. doi: 10.1029/96JB00177

Steacy S, Gerstenberger M, Williams C, et al. 2014. A new hybrid Coulomb/statistical model for forecasting aftershock rates. Geophysical Journal International, 196(2): 918-923. doi: 10.1093/gji/ggt404

Utsu T. 1961. A statistical study on the occurrence of aftershocks. The Geophysical Magazine, 30: 521-605.

Wiemer S, Katsumata K. 1999. Spatial variability of seismicity parameters in aftershock zones. Journal of Geophysical Research: Solid Earth, 104(B6): 13135-13151. doi: 10.1029/1999JB900032

Woessner J, HainzlS, Marzocchi W, et al. 2011. A retrospective comparative forecast test on the 1992 Landers sequence. Journal of Geophysical Research: Solid Earth, 116(B5): B05305, doi: 10.1029/2010JB007846.

Wu K T, Jiao Y B, Wang Z D. 1984. Certain characteristics of late strong aftershocks of North China. Northwestern Seismological Journal (in Chinese), 6(2): 35-43.

Xiong Z H. 2019. The study and application of catastrophe model for earthquake insurance [Ph. D. thesis] (in Chinese). Beijing: Institute of Geophysics, China Earthquake Administration.

Zechar J D. 2010. Evaluating earthquake predictions and earthquake forecasts: a guide for students and new researchers. Community online resource for statistical seismicity analysis. http://www.corssa.org/export/sites/corssa/.galleries/articles-pdf/zechar.pdf. [2020-04-15].

Zhang C J, Hou Y Y, Hu B, et al. 2011. Analysis on the seismic activities and hazards of M7.1 earthquake, 2010 and M6.3 earthquake, 2011 in New Zealand. Recent Developments in World Seismology (in Chinese), (4): 44-51, 9.

Zhao J B. 2005. Damage assessment of reinforced concrete frame structures under main-earthquakes and post-earthquakes [Master′s thesis] (in Chinese). Beijing: Institute of Geophysics, China Earthquake Administration.

Zhuang J C, Ogata Y, Wang T. 2017. Data completeness of the Kumamoto earthquake sequence in the JMA catalog and its influence on the estimation of the ETAS parameters. Earth, Planets and Space, 69(1): 36, doi: 10.1186/s40623-017-0614-6.

毕金孟, 蒋长胜. 2017. 晋冀蒙交界地区余震短期发生率的预测效能评估和预测策略研究. 地球物理学进展, 32(1): 8-17, doi: 10.6038/pg20170102.

毕金孟, 蒋长胜. 2019. 华北地区地震序列参数的分布特征. 地球物理学报, 62(11): 4300-4312, doi: 10.6038/cjg2019M0453.

http://www.geophy.cn/article/doi/10.6038/cjg2019M0453

蒋长胜, 吴忠良. 2011. 2010年玉树MS7.1地震前的中长期加速矩释放(AMR)问题. 地球物理学报, 54(6): 1501-1510, doi: 10.3969/j.issn.0001-5733.2011.06.009.

http://www.geophy.cn/article/doi/10.3969/j.issn.0001-5733.2011.06.009

蒋长胜, 吴忠良, 尹凤玲等. 2015. 余震的序列参数稳定性和余震短期发生率预测效能的连续评估——以2014年云南鲁甸6.5级地震为例. 地球物理学报, 58(11): 4163-4173, doi: 10.6038/cjg20151123.

http://www.geophy.cn/article/doi/10.6038/cjg20151123

蒋长胜, 庄建仓, 吴忠良等. 2017. 两种短期概率预测模型在2017年九寨沟7.0级地震中的应用和比较研究. 地球物理学报, 60(10): 4132-4144, doi: 10.6038/cjg20171038.

http://www.geophy.cn/article/doi/10.6038/cjg20171038

蒋长胜, 毕金孟, 王福昌等. 2018. 利用早期余震预测的Omi-R-J方法对2017年四川九寨沟MS7.0地震的应用研究. 地球物理学报, 61(5): 2099-2110, doi: 10.6038/cjg2018M0113.

http://www.geophy.cn/article/doi/10.6038/cjg2018M0113

吕晓健, 高孟潭, 高战武等. 2007. 强余震和主震地面运动分布比较研究. 地震学报, 29(3): 295-301. doi: 10.3321/j.issn:0253-3782.2007.03.008

吴开统, 焦远碧, 王志东. 1984. 华北地区的晚期强余震特征. 西北地震学报, 6(2): 35-43.

https://www.cnki.com.cn/Article/CJFDTOTAL-ZBDZ198402004.htm

熊政辉. 2019. 面向地震保险的巨灾模型研究与应用[博士论文]. 北京: 中国地震局地球物理研究所.

张晁军, 侯燕燕, 胡彬等. 2011. 新西兰2010年M7.1地震与2011年M6.3地震活动和灾害分析. 国际地震动态, (4): 44-51, 9. doi: 10.3969/j.issn.0235-4975.2011.04.010

赵金宝. 2005. 主余震作用下钢筋混凝土框架结构的破坏评估[硕士论文]. 北京: 中国地震局地球物理研究所.