于晓虹,叶晶,洪赢政,等. 地震死亡人数评估的投影寻踪回归建模研究[J]. 华北地震科学,2022, 40(4):19-27. doi:10.3969/j.issn.1003−1375.2022.04.004.
引用本文: 于晓虹,叶晶,洪赢政,等. 地震死亡人数评估的投影寻踪回归建模研究[J]. 华北地震科学,2022, 40(4):19-27. doi:10.3969/j.issn.1003−1375.2022.04.004.
YU Xiaohong,YE Jing,HONG Yingzheng,et al. Earthquake Casualty Assessment Model based on Projection Pursuit Regression Technique[J]. North China Earthquake Sciences,2022, 40(4):19-27. doi:10.3969/j.issn.1003−1375.2022.04.004.
Citation: YU Xiaohong,YE Jing,HONG Yingzheng,et al. Earthquake Casualty Assessment Model based on Projection Pursuit Regression Technique[J]. North China Earthquake Sciences,2022, 40(4):19-27. doi:10.3969/j.issn.1003−1375.2022.04.004.

地震死亡人数评估的投影寻踪回归建模研究

Earthquake Casualty Assessment Model based on Projection Pursuit Regression Technique

  • 摘要: 基于中国1990—2011年68次地震历史资料的5个评价指标数据和地震死亡人数,采用五重交叉验证法,建立基于SMART算法的投影寻踪回归(S-PPR)模型,模型预测误差小于等于0人、1人、2人、10人的样本占比分别为41.2%、61.8%、75%和92.6%,8个测试样本预测误差少于2人的占比62.5%,表明模型具有较高的预测精度。在5个评价指标中,地震震级对地震死亡人数的影响最显著,其次是人口密度,然后是地震发生时间、震中烈度,ΔL的影响较小。针对本例数据,不采用交叉验证法,在满足建立BPNN模型最基本要求的情况下,在多次训练的基础上可以“挑选”出“误差很小”、“精度很高”的模型,但这种挑选出来的模型是没有泛化能力和实用价值的。与采用交叉验证法建立的MLR、BPNN模型相比,S-PPR模型具有更高的数据拟合能力、泛化能力和稳健性,拓展了地震死亡人数评估的新方法和技术。

     

    Abstract: Based on the five evaluation index data of 70 earthquakes in China from 1990 to 2011 and the number of earthquake casualties, a projection pursuit regression (S-PPR) model based on SMART algorithm was established by using five-fold cross-validation method. The proportion of the sample with the prediction error of less than 0, 1, 2 and 10 people was 41.2%, 61.8%, 75% and 92.6%, respectively. The proportion of the sample with the prediction error of less than 1 person in the four test samples was 75%, which indicated that the S-PPR model had high prediction accuracy. Among the five evaluation indexes, the earthquake magnitude has the most significant impact on the number of earthquake casualties, followed by the population density, by the time of the earthquake, the epicenter intensity, and the ΔL the relatively small impact. For the data of this example, multiple-fold cross-validation method is not adopted, although the BPNN model structure meets the most basic requirements of establishing BPNN model, and the BPNN model with small error can be "pick out" and "high precision" for the training set data as well as the testing set data, the “pick out” BPNN model has no generalization ability and practical value. Moreover, the main problems in the published articles in the process of establishing the BPNN, RFR, SVM, RBFNN and ELM models for earthquake casualty assessment are also analyzed. Compared with MLR and BPNN models established by cross-validation method, S-PPR model has better data fitting ability, generalization ability and robustness, and also expands new methods and techniques for earthquake casualty assessment.

     

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