不同趋势对滑动移除近似熵的影响

金红梅; 何文平; 侯威; 章大全

doi:10.7498/aps.61.069201

摘要

许多观测资料中存在着各种各样的趋势,如季节变化引起的周期性趋势、全球变暖所造成的线性趋势、多项式趋势等.鉴于此,本文研究了各种趋势对滑动移除近似熵的影响.数值试验结果表明,周期性趋势、线性趋势及非线性趋势均对滑动移除近似熵的突变检测结果影响较小,论证了滑动移除近似熵方法检测突变的可靠性,为该方法在实际观测资料中的广泛应用提供了实验基础.

关键词:

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:

作者及机构信息

1.
兰州大学大气科学学院, 兰州 730000;

2.
国家气候中心, 北京 100081

通信作者: 何文平, wenping_he@163.com

基金项目: 全球变化重大研究计划(批准号:　2012CB9552037)、国家自然科学基金(批准号: 40930952, 41175067 和40905034) 和国家科技支撑计划(批准号: 2007BAC29B01, 2009BAC51B04)资助的课题.

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).

参考文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

施引文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

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