Effects of different trends on moving cut data-approximate entropy

Jin Hong-Mei; He Wen-Ping; Hou Wei; Zhang Da-Quan

doi:10.7498/aps.61.069201

Abstract

Various trends exist in many observation data, such as periodical trend caused by seasonal variation, linear trend and polynomial trend brought about by global warming. In the present paper, the effects of different trends on moving cut data-approximate entropy are investigated. The numerical tests on model time series indicate that the detection results of moving cut data-approximate entropy are little affected by periodical trend, linear trend and nonlinear trend. The reliability of abrupt change detection of moving cut data-approximate entropy is demonstrated, which provides an experimental basis for the wide applications of the present method in real observation data.

Keywords:

Authors and contacts

1.
Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China;
2.
National Climate Center, China Meteorological Administration, Beijing 100081, China

Corresponding author: He Wen-Ping, wenping_he@163.com

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB955203), the National Natural Science Foundation of China (Grant Nos. 40930952, 41175067, 40905034), and the National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant Nos. 2007BAC29B01, 2009BAC51B04).

References

[1]	Fu C B, Wang Q 1992 Chinese J. Atmos Sci. 16 482 (in Chinese) [符淙斌, 王强 1992 大气科学 16 482]
[2]	Li S C, Liu F C, Zhao Z Q 2008 Clim. Environ. Res. 13 31 (in Chinese) [李双成, 刘逢媛, 赵志强 2008 气候与环境研究 13 31]
[3]
[4]	Alley R B, Marotzke J, Nordhaus W D, Overpeck J T, Peteet D M, Pielke J R A, Pierrehumbert R T, Rhines P B, Stocker T F, Talley L D, Wallace J M 2003 Science 299 2005
[5]
[6]	Nicholls N 2006 Aust. Met. Mag. 55 199
[7]
[8]
[9]	Zwiers F 2005 American Meteorological Society 18 1291
[10]
[11]	Thom R 1992 Structural Stability and Morphogenesis (Sichuan: Sichuan Education Press) pp5459 (in Chinese) [雷内托姆 1992 结构稳定性与形态发生学 (四川: 四川教育出版社) 第54---59页]
[12]
[13]	Wei F Y 1999 The Technologies of Statistics Diagnosis and Fore-cast in Modern Climate (Beijing: The Weather Publishing Com-pany) pp6376 (in Chinese) [魏凤英 1999 现代气候统计诊断与预测技术 (北京: 气象出版社) 第63---76页]
[14]
[15]	Babak A S, Krishnaprasad P S 2004 EURASIP J. Appl. Signal Processing 15 2295
[16]	Abhisek U, Rastko Z 2006 Electric Power Systems Research 76 815
[17]
[18]
[19]	Liu S D, Chen J, Liu S K 1999 J. Appl. Meteor. Sci. (Suppl.) 10 10 (in Chinese) [刘式达, 陈炯, 刘式适 1999 应用气象学报(增刊) 10 10]
[20]
[21]	Liu S D, Rong P P, Chen J 2000 Acta Meteor. Sin. 58 111 (in Chinese) [刘式达, 荣平平, 陈炯 2000 气象学报 58 111]
[22]
[23]	Marko P, Mika R, Mika R 2005 Control Engimeering Laboratory 26 1
[24]	Elsner B J, Niu X, Jagger T 2004 J. Cliamte 4 2652
[25]
[26]
[27]	Solow A R, Beet A R 2005 Fish. Oceanoger 14 236
[28]	Herron M M, Langway C C 1985 Greenland Ice Core: Geophys. Geochem. Envir. 33 77
[29]
[30]	Audrey L M, Christopher W P, Heriberto C 2006 Ecological Mod-elling 95 72
[31]
[32]	Istvan M 2011 Theor. Appl. Climatol. 401 4
[33]
[34]
[35]	Brian D F, Heriberto C, Christopher W P 2003 J.Theoretical Biol-ogy 222 517
[36]	Wan S Q, Feng G L, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5487 (in Chinese) [万仕全, 封国林, 董文杰, 李建平 2005 54 5487]
[37]
[38]
[39]	Feng G L, Gong Z Q, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5494 (in Chinese) [封国林, 龚志强, 董文杰, 李建平 2005 54 5494]
[40]
[41]	Gong Z Q, Feng G L, Wan S Q, Li J P 2006 Acta Phys. Sin. 55 477 (in Chinese) [龚志强, 封国林, 万仕全, 李建平 2006 55 477]
[42]
[43]	Feng G L, Hou W, Dong W J 2006 Acta Phys. Sin. 55 962 (in Chinese) [封国林, 侯威, 董文杰 2006 55 962]
[44]
[45]	Zhang W, Gao X Q, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2657 (in Chinese) [张文, 高新全, 董文杰, 李建平 2006 55 2657]
[46]	Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强, 封国林, 董文杰, 李建平 2006 55 3180]
[47]
[48]
[49]	Wan S Q, Feng G L, Dong W J, Li J P, Gao X Q, He W P 2005 Chin. Phys. Soc. and IOP Publishing Ltd 14 628
[50]	He W P, Wu Q, Zhang W, Cheng H Y 2010 Acta Phys. Sin. 59 8264 (in Chinese) [何文平, 吴琼, 张文, 成海英 2010 59 8264]
[51]
[52]	He W P, Wu Q, Zhang W, Wang Q G, Zhang Y 2009 Acta Phys. Sin. 58 2862 (in Chinese) [何文平, 吴琼, 张文, 王启光, 张勇 2009 58 2862]
[53]
[54]	He W P, Feng G L, Wu Q, He T, Wan S Q, Chou J F 2011 Inter-nationgal Journal of Climatology, DOI: 10.1002/joc.2367
[55]
[56]
[57]	He W P, Feng G L, Wu Q, Wan S Q, Chou J F 2008 Nonlin. Pro-cesses Geophys. 15 601
[58]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 57 1976]
[59]
[60]
[61]	He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 60 049202]
[62]	Pinus S M 1991 Proc. Natl. Acad. Sci. USA 88 2297
[63]
[64]
[65]	Pincus S M, Goldberger A L 1994 Am. J. Physiol. 266 H1643
[66]	Pinus S M 1995 Chaos 5 110
[67]
[68]
[69]	He W P 2008 Ph. D. Dissertation (Lanzhou: Lanzhou University) p45 (in Chinese) [何文平 2008 博士学位论文 (兰州: 兰州大学) 第45页]
[70]	Peng J B, Jiang X Q 2010 Natural Science J. Xiangtan Univ. 32 123 (in Chinese) [彭景斌, 姜小奇 2010 湘潭大学自然科学学报 32 123]
[71]
[72]
[73]	Shi X H 2008 Plateau and Mountain Meteor. Res. 28 22 (in Chinese) [施晓晖 2008 高原山地气象研究 28 22]
[74]
[75]	Wang B X, Shi Z K 2004 Mathematics in Practice and Theory 34 069201-8Acta Phys. Sin. Vol. 61, No. 6 (2012) 069201 104 (in Chinese) [王炳雪, 史忠科 2004 数学的实践与认识 34 104]
[76]
[77]	Wang Y, Gao X D, Wu S, Chen M 2009 Computer Engineering 35 32 (in Chinese) [王阅, 高学东, 武森, 陈敏 2009 计算机工程 35 32]
[78]
[79]	Chen Z, Ivanov P C, Hu K, Stanley H E 2002 Physical Review E 65 041107

Cited By

[1]	Fu C B, Wang Q 1992 Chinese J. Atmos Sci. 16 482 (in Chinese) [符淙斌, 王强 1992 大气科学 16 482]
[2]	Li S C, Liu F C, Zhao Z Q 2008 Clim. Environ. Res. 13 31 (in Chinese) [李双成, 刘逢媛, 赵志强 2008 气候与环境研究 13 31]
[3]
[4]	Alley R B, Marotzke J, Nordhaus W D, Overpeck J T, Peteet D M, Pielke J R A, Pierrehumbert R T, Rhines P B, Stocker T F, Talley L D, Wallace J M 2003 Science 299 2005
[5]
[6]	Nicholls N 2006 Aust. Met. Mag. 55 199
[7]
[8]
[9]	Zwiers F 2005 American Meteorological Society 18 1291
[10]
[11]	Thom R 1992 Structural Stability and Morphogenesis (Sichuan: Sichuan Education Press) pp5459 (in Chinese) [雷内托姆 1992 结构稳定性与形态发生学 (四川: 四川教育出版社) 第54---59页]
[12]
[13]	Wei F Y 1999 The Technologies of Statistics Diagnosis and Fore-cast in Modern Climate (Beijing: The Weather Publishing Com-pany) pp6376 (in Chinese) [魏凤英 1999 现代气候统计诊断与预测技术 (北京: 气象出版社) 第63---76页]
[14]
[15]	Babak A S, Krishnaprasad P S 2004 EURASIP J. Appl. Signal Processing 15 2295
[16]	Abhisek U, Rastko Z 2006 Electric Power Systems Research 76 815
[17]
[18]
[19]	Liu S D, Chen J, Liu S K 1999 J. Appl. Meteor. Sci. (Suppl.) 10 10 (in Chinese) [刘式达, 陈炯, 刘式适 1999 应用气象学报(增刊) 10 10]
[20]
[21]	Liu S D, Rong P P, Chen J 2000 Acta Meteor. Sin. 58 111 (in Chinese) [刘式达, 荣平平, 陈炯 2000 气象学报 58 111]
[22]
[23]	Marko P, Mika R, Mika R 2005 Control Engimeering Laboratory 26 1
[24]	Elsner B J, Niu X, Jagger T 2004 J. Cliamte 4 2652
[25]
[26]
[27]	Solow A R, Beet A R 2005 Fish. Oceanoger 14 236
[28]	Herron M M, Langway C C 1985 Greenland Ice Core: Geophys. Geochem. Envir. 33 77
[29]
[30]	Audrey L M, Christopher W P, Heriberto C 2006 Ecological Mod-elling 95 72
[31]
[32]	Istvan M 2011 Theor. Appl. Climatol. 401 4
[33]
[34]
[35]	Brian D F, Heriberto C, Christopher W P 2003 J.Theoretical Biol-ogy 222 517
[36]	Wan S Q, Feng G L, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5487 (in Chinese) [万仕全, 封国林, 董文杰, 李建平 2005 54 5487]
[37]
[38]
[39]	Feng G L, Gong Z Q, Dong W J, Li J P 2005 Acta Phys. Sin. 54 5494 (in Chinese) [封国林, 龚志强, 董文杰, 李建平 2005 54 5494]
[40]
[41]	Gong Z Q, Feng G L, Wan S Q, Li J P 2006 Acta Phys. Sin. 55 477 (in Chinese) [龚志强, 封国林, 万仕全, 李建平 2006 55 477]
[42]
[43]	Feng G L, Hou W, Dong W J 2006 Acta Phys. Sin. 55 962 (in Chinese) [封国林, 侯威, 董文杰 2006 55 962]
[44]
[45]	Zhang W, Gao X Q, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2657 (in Chinese) [张文, 高新全, 董文杰, 李建平 2006 55 2657]
[46]	Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强, 封国林, 董文杰, 李建平 2006 55 3180]
[47]
[48]
[49]	Wan S Q, Feng G L, Dong W J, Li J P, Gao X Q, He W P 2005 Chin. Phys. Soc. and IOP Publishing Ltd 14 628
[50]	He W P, Wu Q, Zhang W, Cheng H Y 2010 Acta Phys. Sin. 59 8264 (in Chinese) [何文平, 吴琼, 张文, 成海英 2010 59 8264]
[51]
[52]	He W P, Wu Q, Zhang W, Wang Q G, Zhang Y 2009 Acta Phys. Sin. 58 2862 (in Chinese) [何文平, 吴琼, 张文, 王启光, 张勇 2009 58 2862]
[53]
[54]	He W P, Feng G L, Wu Q, He T, Wan S Q, Chou J F 2011 Inter-nationgal Journal of Climatology, DOI: 10.1002/joc.2367
[55]
[56]
[57]	He W P, Feng G L, Wu Q, Wan S Q, Chou J F 2008 Nonlin. Pro-cesses Geophys. 15 601
[58]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 57 1976]
[59]
[60]
[61]	He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 60 049202]
[62]	Pinus S M 1991 Proc. Natl. Acad. Sci. USA 88 2297
[63]
[64]
[65]	Pincus S M, Goldberger A L 1994 Am. J. Physiol. 266 H1643
[66]	Pinus S M 1995 Chaos 5 110
[67]
[68]
[69]	He W P 2008 Ph. D. Dissertation (Lanzhou: Lanzhou University) p45 (in Chinese) [何文平 2008 博士学位论文 (兰州: 兰州大学) 第45页]
[70]	Peng J B, Jiang X Q 2010 Natural Science J. Xiangtan Univ. 32 123 (in Chinese) [彭景斌, 姜小奇 2010 湘潭大学自然科学学报 32 123]
[71]
[72]
[73]	Shi X H 2008 Plateau and Mountain Meteor. Res. 28 22 (in Chinese) [施晓晖 2008 高原山地气象研究 28 22]
[74]
[75]	Wang B X, Shi Z K 2004 Mathematics in Practice and Theory 34 069201-8Acta Phys. Sin. Vol. 61, No. 6 (2012) 069201 104 (in Chinese) [王炳雪, 史忠科 2004 数学的实践与认识 34 104]
[76]
[77]	Wang Y, Gao X D, Wu S, Chen M 2009 Computer Engineering 35 32 (in Chinese) [王阅, 高学东, 武森, 陈敏 2009 计算机工程 35 32]
[78]
[79]	Chen Z, Ivanov P C, Hu K, Stanley H E 2002 Physical Review E 65 041107

[1]	Wang Ying, Shu Lei. μSR experimental progress and trends of developing muon facilities. Acta Physica Sinica, 2024, 73(19): 197601. doi: 10.7498/aps.73.20240940
[2]	Sun Dong-Yong, Zhang Hong-Bo, Wang Yi-Min. Application of moving cut data-wavelet transformation analysis in dynamic structure mutation testing. Acta Physica Sinica, 2017, 66(7): 079201. doi: 10.7498/aps.66.079201
[3]	Liu Qun-Qun, He Wen-Ping, Gu Bin. Application of nonlinear dynamical methods in abrupt climate change detection. Acta Physica Sinica, 2015, 64(17): 179201. doi: 10.7498/aps.64.179201
[4]	Sun Dong-Yong, Zhang Hong-Bo, Huang Qiang. Application of moving cut data-rescaled variance analysis in dynamic structure mutation testing. Acta Physica Sinica, 2014, 63(20): 209203. doi: 10.7498/aps.63.209203
[5]	Cai Shu-Ping, Dai Li, Ni Hao. A new approach to abrupt change detection based on Fisher information. Acta Physica Sinica, 2013, 62(18): 189204. doi: 10.7498/aps.62.189204
[6]	Cheng Hai-Ying, He Wen-Ping, He Tao, Wu Qiong. A new approach to abrupt change detection based on change of probability density distribution. Acta Physica Sinica, 2012, 61(3): 039201. doi: 10.7498/aps.61.039201
[7]	Jin Hong-Mei, He Wen-Ping, Zhang Wen, Feng Ai-Xia, Hou Wei. Effect of noises on moving cut data-approximate entropy. Acta Physica Sinica, 2012, 61(12): 129202. doi: 10.7498/aps.61.129202
[8]	Wu Jian-Jun, Xu Shang-Yi, Sun Hui-Jun. Detrended fluctuation analysis of time series in mixed traffic flow. Acta Physica Sinica, 2011, 60(1): 019502. doi: 10.7498/aps.60.019502
[9]	Cheng Hai-Ying, He Wen-Ping, Zhang Wen, Wu Qiong, He Tao. A new method to detect abrupt change based on approximate entropy. Acta Physica Sinica, 2011, 60(4): 049202. doi: 10.7498/aps.60.049202
[10]	Qian Zhong-Hua, Feng Guo-Lin, Gong Zhi-Qiang. Distribution of most probable temperature of daily average temperature records in China and the slowing down of warming trend. Acta Physica Sinica, 2010, 59(10): 7498-7507. doi: 10.7498/aps.59.7498
[11]	Yang Jie, Yang Ping, Hou Wei, Zhang Da-Quan. A valid method to compute the segment size in detrended fluctuation analysis. Acta Physica Sinica, 2010, 59(12): 8986-8993. doi: 10.7498/aps.59.8986
[12]	Deng Bei-Sheng, He Wen-Ping, Cheng Hai-Ying, Wu Qiong, Zhang Wen. A new method of detecting abrupt dynamic change based on rescaled range analysis. Acta Physica Sinica, 2010, 59(11): 8264-8271. doi: 10.7498/aps.59.8264
[13]	He Wen-Ping, Wang Qi-Guang, Wu Qiong, Zhang Wen, Zhang Yong. Comparison of characteristics of moving detrended fluctuation analysis with that of approximate entropy method in detecting abrupt dynamic change. Acta Physica Sinica, 2009, 58(4): 2862-2871. doi: 10.7498/aps.58.2862
[14]	Yang Ping, Hou Wei, Feng Guo-Lin. Determining the threshold of extreme events with detrended fluctuation analysis. Acta Physica Sinica, 2008, 57(8): 5333-5342. doi: 10.7498/aps.57.5333
[15]	Zhi Rong, Gong Zhi-Qiang. The detection and attribution of the abrupt change of precipitation in China based on the power-law exponent. Acta Physica Sinica, 2008, 57(7): 4629-4633. doi: 10.7498/aps.57.4629
[16]	Zhang Da-Quan, Qian Zhong-Hua. Analysis of extreme events in China’s temperature in recent 50 years using detecting method based on median. Acta Physica Sinica, 2008, 57(7): 4634-4640. doi: 10.7498/aps.57.4634
[17]	Wang Qi-Guang, Zhang Zeng-Ping. The research of detecting abrupt climate change with approximate entropy. Acta Physica Sinica, 2008, 57(3): 1976-1983. doi: 10.7498/aps.57.1976
[18]	Gong Zhi-Qiang, Feng Guo-Lin, Dong Wen-Jie, Li Jian-Ping. The research of dynamic structure abrupt change of nonlinear time series. Acta Physica Sinica, 2006, 55(6): 3180-3187. doi: 10.7498/aps.55.3180
[19]	Hou Wei, Feng Guo-Lin, Dong Wen-Jie, Li Jian-Ping. A technique for distinguishing dynamical species in the temperature time series of north China. Acta Physica Sinica, 2006, 55(5): 2663-2668. doi: 10.7498/aps.55.2663
[20]	Feng Guo-Ling, Gong Zhi-Qiang, Dong Wen-Jie, Li Jian-Ping. Abrupt climate change detection based on heuristic segmentation algorithm. Acta Physica Sinica, 2005, 54(11): 5494-5499. doi: 10.7498/aps.54.5494

Catalog

Vol. 61, Issue 6 - 2012-03-20

Metrics

Abstract views: 8186
PDF Downloads: 379
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板