GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
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Comparison of performance between rescaled range analysis and rescaled variance analysis in detecting abrupt dynamic change |
He Wen-Ping (何文平)a, Liu Qun-Qun (刘群群)b, Jiang Yun-Di (姜允迪)a, Lu Ying (卢莹)c |
a National Climate Center, China Meteorological Administration, Beijing 100081, China; b College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China; c Yangzhou Meteorological Office, Yangzhou 225003, China |
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Abstract In the present paper, a comparison of the performance between moving cutting data-rescaled range analysis (MC-R/S) and moving cutting data-rescaled variance analysis (MC-V/S) is made. The results clearly indicate that the operating efficiency of the MC-R/S algorithm is higher than that of the MC-V/S algorithm. In our numerical test, the computer time consumed by MC-V/S is approximately 25 times that by MC-R/S for an identical window size in artificial data. Except for the difference in operating efficiency, there are no significant differences in performance between MC-R/S and MC-V/S for the abrupt dynamic change detection. MC-R/S and MC-V/S both display some degree of anti-noise ability. However, it is important to consider the influences of strong noise on the detection results of MC-R/S and MC-V/S in practical application processes.
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Received: 12 September 2014
Revised: 30 October 2014
Accepted manuscript online:
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PACS:
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92.70.Aa
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(Abrupt/rapid climate change)
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95.10.Fh
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(Chaotic dynamics)
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Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB955902) and the National Natural Science Foundation of China (Grant Nos. 41275074, 41475073, and 41175084). |
Corresponding Authors:
He Wen-Ping
E-mail: wenping_he@163.com
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Cite this article:
He Wen-Ping (何文平), Liu Qun-Qun (刘群群), Jiang Yun-Di (姜允迪), Lu Ying (卢莹) Comparison of performance between rescaled range analysis and rescaled variance analysis in detecting abrupt dynamic change 2015 Chin. Phys. B 24 049205
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[1] |
Hurst H E 1951 Trans. Am. Soc. Civ. Eng. 116 770
|
[2] |
Liu S D, Chen J and Liu S S 1999 J. Appl. Meteor. Sci. (Suppl.) 10 9 (in Chinese)
|
[3] |
Liu S D, Rong P P and Chen J 2000 Acta Meteor. Sin. 58 110 (in Chinese)
|
[4] |
Feng G L, Dai X G, Wang A H and Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese)
|
[5] |
Shi N, Yi Y M, Gu J Q and Xia D D 2006 Chin. Phys. 15 2180
|
[6] |
Abaimov S G, Turcotte D L, Shcherbakov R and Rundle J B 2007 Nonlinear Proc. Geophys. 14 455
|
[7] |
Blender R, Fraedrich K and Sienz F 2008 Nonlinear Proc. Geo. 15 557
|
[8] |
Bunde A, Havlin S, Kantelhardt J W, Penzel T T, Peter J H and Voigt K 2000 Phys. Rev. Lett. 85 373641
|
[9] |
Bunde A, Eichner J F, Kantelhardt J W and Havlin S 2005 Phys. Rev. Lett. 94 048701
|
[10] |
Eichner J F, Koscienly-Bunde E abd Bunde A 2003 Phys. Rev. E 8 046133-1
|
[11] |
Feng G L, Dong W J and Jia X J 2002 Acta Phys. Sin. 51 1181 (in Chinese)
|
[12] |
Feng G L, Dong W J, Gong Z Q, Hou W, Wan S Q and Zhi R 2006 Nonlinear Theories and Methods on Spatial-Temporal Distribution of the Observational Data (Beijing: Metrological Press) p. 227 (in Chinese)
|
[13] |
Fraedrich K and Blender R 2003 Phys. Rev. Lett. 90 108501
|
[14] |
Lennartz S and Bunde A 2011 Phys. Rev. E 84 021129
|
[15] |
Feng G L and Dong W J 2003 Chin. Phys. 12 1076
|
[16] |
Yuan N and Fu Z 2014 J. Climate 27 1742
|
[17] |
Chen Z, Ivanov P, Hu K and Stanley H E 2002 Phys. Rev. E 65 041107
|
[18] |
He W P, Deng B S, Wu Q, Zhang W and Cheng H Y 2010 Acta Phys. Sin. 59 8264 (in Chinese)
|
[19] |
Giraitis L, Kokoszka P, Leipus R and Teyssiere G 2003 J. Econometrics 112 265
|
[20] |
Sun D Y, Zhang H B and Huang Q 2014 Acta Phys. Sin. 63 209203 (in Chinese)
|
[21] |
May R 1976 Nature 261 459
|
[22] |
He W P 2008 "The Research and Application of the Abrupt Detecting Methods in Dynamical Structure", Ph. D. Dissertation (Lanzhou: Lanzhou University) (in Chinese)
|
[23] |
He W P, Feng G L, Wu Q, He T, Wan S Q and Chou J F 2012 Int. J. Climatol. 32 1604
|
[24] |
Vondrak J 1969 Bull. Astron. Inst. Czech. 20 349
|
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