人民长江 ›› 2021, Vol. 52 ›› Issue (3): 9-15.doi: 10.16232/j.cnki.1001-4179.2021.03.002

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基于集对分析的不同分类方法对汛期分期的影响

虞慧,刘星根,王姣,王永文,彭圣军,胡强   

  • 出版日期:2021-03-28 发布日期:2021-04-23

Influence of different classification methods on flood season division based on Set Pair Analysis

YU Hui, LIU Xinggen, WANG Jiao, WANG Yongwen, PENG Shengjun, HU Qiang   

  • Online:2021-03-28 Published:2021-04-23

摘要: 为揭示集对分析不同分类方法对汛期分期的影响程度和原因,以江西省信江七一水库为例,采用集对分析及合理性检验等方法,探讨了均值标准差法、距平百分率法等分类方法对集对分析联系度的影响。同时,对均值标准差法、距平百分率法中k阈值与p阈值的最优取值进行了探究。结果表明:(1)均值标准差法的最优k阈值为0.56~0.58,距平百分率法的最优p阈值为0.42~0.44;阈值大小通过影响分类区间范围进而影响符号量化和汛期分期结果。(2)经合理性检验,均值标准差法的最优分期结果与合理性检验的最优分期结果最为接近,而距平百分率法的最优分期结果与合理性检验的最优分期结果存在一定差异。因此,2种方法相比,均值标准差法更适用于集对分析。同时,建议今后在将集对分析应用于汛期分期时,应进行最优分类区间筛选和分期结果比较分析。

关键词: 汛期分期; 集对分析法; 均值标准差法; 距平百分率法; 联系度; 分类标准; 阈值;

Abstract: In order to reveal influence degree of different classification methods on flood reason division by Set Pair Analysis, we adopted Set Pair Analysis and rationality testing methods to explore influence of common classification methods such as mean standard deviation method and anomaly percentage method on connection degree of Set Pair Analysis, based on Qiyi Reservoir in Xinjiang Basin of Jiangxi Province.Also, we explored optimal k-threshold of mean standard deviation method and optimal p-threshold of anomaly percentage method.The results showed that the optimal k-threshold of the mean standard deviation method was 0.56~0.58,and the optimal p-threshold of the anomaly percentage method was 0.42~0.44.The threshold value had an impact on symbol quantization and flood season division results through affecting the classification interval range.According to rationality test, the optimal division result of mean standard deviation method was the closest to that of the rationality test.However, the optimal division result of anomaly percentage method was different from that of rationality test.Therefore, the mean standard deviation method was more suitable for Set Pair Analysis.It is suggested that the selection of the optimal classification interval and the comparative analysis of the division results should be performed when the Set Pair Analysis is applied to the flood season division.

Key words: flood season division; Set Pair Analysis; mean standard deviation method; anomaly percentage method; connection degree; classification standard; threshold value;