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Long-term historical air temperature records of four stations from Global Historical Climatology Network-Daily are analyzed in this study. By applying detrended fluctuation analysis of the second order to the monthly anomalies, different long-term correlations are found in different time periods at both the maximum and minimum temperatures, which indicate the existence of internal stochastic trend. By generating surrogate data with the same long-term correlations and data length, internal stochastic trends are estimated with confidence probability intervals of 95% and 99% provided. We find the longer data length, the shorter confidence probability interval we have; the stronger long-term correlation, the wider confidence probability interval is obtained. By comparing the temperature trends observed from the historical temperature records with the corresponding confidence probability intervals of the internal stochastic trends, significant external trends can be detected. We find that except for the maximum temperature in SAGINAW MBS INTL AP, temperatures from the four stations all show significant external trends when long historical data (>100 years) are considered. However, if only the past 30 years are taken into account, the observed trends are still not strong enough to exceed the confidence probability interval. Although we cannot exclude the existence of external trends, considering the possible influence from internal stochastic trends, the external trends are not significant. From this detection method, we can judge, in the context of global warming, whether an observed trend is significantly induced by external forcing. Therefore, it is useful for our further study targeting the internal (external) climatic impact factors.
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Keywords:
- long-term persistence /
- external trend /
- de-trended fluctuation analysis /
- Fourier-filtering method
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[2] Chou J F 2002 Nonlinear and Complexity in Atmospherics Science (Beijing: China Meteorological Press) (in Chinese) [丑纪范2002大气科学中的非线性与复杂性 (北京: 气象出版社)]
[3] Diao Y N, Feng G L, Liu S D, Liu S K, Luo D H, Huang S X, Lu W S, Chou J F 2004 Adv. Atmos. Sci. 21 399
[4] Ding R Q, Feng G L, Liu S D, Liu S K, Huang S X, Fu Z T 2007 Adv. Atmos. Sci. 24 1077
[5] Yang P C, Bian J C, Wang G L, Zhou X J 2003 Chin. Sci. Bull. 48 1470 (in Chinese) [杨培才, 卞建春, 王革丽, 周秀骥 2003 科学通报 48 1470]
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[7] Huang N E, Wu Z 2008 Rev. Geophys. 46 RG2006
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[10] Gao L H, Fu Z T 2013 Atmos. Oceanic Sci. Lett. 6 74
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[14] Chen X, Lin G, Fu Z 2007 Geophys. Res. Lett. 34 07804
[15] Feng T, Fu Z, Deng X, Mao J 2009 Phys. Lett. A 373 4134
[16] Liu S D, Yuan N M, Fu Z T, Liu S K 2013 Sci. Sin.: Phys. Mech. Astron. 43 1327 (in Chinese) [刘式达, 袁乃明, 付遵涛, 刘式适 2013 中国科学: 物理学 力学 天文学 43 1327]
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[18] Peng C K, Buldyrev S V, Havlin S, Simons M, Stanley H E, Goldberger A L 1994 Phys. Rev. E 49 1685
[19] Sheng P, Wang J F, Zhao S L, Tang T Q 2010 Chin. Phys. B 19 080205
[20] Xu Z X, Yin K X, Xu Y L, Zhu S S 2011 Chin. Phys. B 20 050503
[21] Tang Y F, Liu S L, Jiang R H, Liu Y H 2013 Chin. Phys. B 22 030504
[22] 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]
[23] Feng G L, Wang Q G, Hou W, Gong Z Q, Zhi R 2009 Acta Phys. Sin. 58 2853 (in Chinese) [封国林, 王启光, 侯威, 龚志强, 支蓉 2009 物理学报 58 2853]
[24] Yang P, Hou W, Feng G L 2008 Acta Phys. Sin. 57 5333 (in Chinese) [杨萍, 侯威, 封国林 2008 物理学报 57 5333]
[25] Zheng Z H, Feng A X, Deng B S, Wang Q G, Hou W 2010 Acta Phys. Sin. 59 7491 (in Chinese) [郑志海, 冯爱霞, 邓北胜, 王启光, 侯威 2010 物理学报 59 7491]
[26] Zhao J H, Wang Q G, Zhi R, Feng G L 2012 Acta Meteor. Sin. 70 302 (in Chinese) [赵俊虎, 王启光, 支蓉, 封国林 2012 气象学报 70 302]
[27] Hurst H E 1951 Trans. Am. Soc. Civ. Eng. 116 770
[28] Yu Z G, Vo A, Gong Z M, Long S C 2002 Chin. Phys. 11 1313
[29] Hou F Z, Zhuang J J, Ning X B, Yang X D, Huo C Y 2008 Chin. Phys. B 17 852
[30] Franzke C 2012 J. Climate 25 4172
[31] Lennartz S, Bunde A 2011 Phys. Rev. E 84 021129
[32] Lennartz S, Bunde A 2009 Geophys. Res. Lett. 36 16706
[33] Yuan N, Fu Z, Mao J 2010 Physica A 389 4087
[34] Peng C K, Havlin S, Schwartz M, Stanley H E 1991 Phys. Rev. A 44 2239
[35] Jenkinson A F 1977 U. K. Met. Office Synoptic Clim. Branch Memo. 58 41
[36] Yuan N, Fu Z 2014 J. Climate 27 1742
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[1] Liu S D, Liu S K 1997 Chin. Sci. Bull. 42 1565 (in Chinese) [刘式达, 刘式适 1997 科学通报 42 1565]
[2] Chou J F 2002 Nonlinear and Complexity in Atmospherics Science (Beijing: China Meteorological Press) (in Chinese) [丑纪范2002大气科学中的非线性与复杂性 (北京: 气象出版社)]
[3] Diao Y N, Feng G L, Liu S D, Liu S K, Luo D H, Huang S X, Lu W S, Chou J F 2004 Adv. Atmos. Sci. 21 399
[4] Ding R Q, Feng G L, Liu S D, Liu S K, Huang S X, Fu Z T 2007 Adv. Atmos. Sci. 24 1077
[5] Yang P C, Bian J C, Wang G L, Zhou X J 2003 Chin. Sci. Bull. 48 1470 (in Chinese) [杨培才, 卞建春, 王革丽, 周秀骥 2003 科学通报 48 1470]
[6] Gao X Q, Wan S Q, He W P, Feng G L, Li J P, Dong W J 2005 Chin. Phys. 14 628
[7] Huang N E, Wu Z 2008 Rev. Geophys. 46 RG2006
[8] Rybski D, Bunde A 2009 Physica A 388 1687
[9] Chen Y, Xu Y P, Yin Y X 2008 J. Nanjing Univ. (Natural Sciences) 44 683 (in Chinese) [陈莹, 许有鹏, 尹义星2008 南京大学学报 (自然科学) 44 683]
[10] Gao L H, Fu Z T 2013 Atmos. Oceanic Sci. Lett. 6 74
[11] Jiang T H, Deng L T 2005 Plateau Meteor. 24 410 (in Chinese) [江田汉, 邓莲堂 2005 高原气象 24 410]
[12] Zheng Z F, Zhang X L, Cao H X, Xie Z, Pan J H 2007 Chin. J. Geophys. 50 420 (in Chinese) [郑祚芳, 张秀丽, 曹鸿兴, 谢庄, 潘家华 2007 地球物理学报 50 420]
[13] Koscielny-Bunde E, Bunde A, Havlin S, Roman H E, Goldreich Y, Schellnhuber H J 1998 Phys. Rev. Lett. 81 729
[14] Chen X, Lin G, Fu Z 2007 Geophys. Res. Lett. 34 07804
[15] Feng T, Fu Z, Deng X, Mao J 2009 Phys. Lett. A 373 4134
[16] Liu S D, Yuan N M, Fu Z T, Liu S K 2013 Sci. Sin.: Phys. Mech. Astron. 43 1327 (in Chinese) [刘式达, 袁乃明, 付遵涛, 刘式适 2013 中国科学: 物理学 力学 天文学 43 1327]
[17] Kantelhardt K, Koscielny-Bunde E, Rego H H A, Havlin S, Bunde A 1999 Phys. A 273 46
[18] Peng C K, Buldyrev S V, Havlin S, Simons M, Stanley H E, Goldberger A L 1994 Phys. Rev. E 49 1685
[19] Sheng P, Wang J F, Zhao S L, Tang T Q 2010 Chin. Phys. B 19 080205
[20] Xu Z X, Yin K X, Xu Y L, Zhu S S 2011 Chin. Phys. B 20 050503
[21] Tang Y F, Liu S L, Jiang R H, Liu Y H 2013 Chin. Phys. B 22 030504
[22] 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]
[23] Feng G L, Wang Q G, Hou W, Gong Z Q, Zhi R 2009 Acta Phys. Sin. 58 2853 (in Chinese) [封国林, 王启光, 侯威, 龚志强, 支蓉 2009 物理学报 58 2853]
[24] Yang P, Hou W, Feng G L 2008 Acta Phys. Sin. 57 5333 (in Chinese) [杨萍, 侯威, 封国林 2008 物理学报 57 5333]
[25] Zheng Z H, Feng A X, Deng B S, Wang Q G, Hou W 2010 Acta Phys. Sin. 59 7491 (in Chinese) [郑志海, 冯爱霞, 邓北胜, 王启光, 侯威 2010 物理学报 59 7491]
[26] Zhao J H, Wang Q G, Zhi R, Feng G L 2012 Acta Meteor. Sin. 70 302 (in Chinese) [赵俊虎, 王启光, 支蓉, 封国林 2012 气象学报 70 302]
[27] Hurst H E 1951 Trans. Am. Soc. Civ. Eng. 116 770
[28] Yu Z G, Vo A, Gong Z M, Long S C 2002 Chin. Phys. 11 1313
[29] Hou F Z, Zhuang J J, Ning X B, Yang X D, Huo C Y 2008 Chin. Phys. B 17 852
[30] Franzke C 2012 J. Climate 25 4172
[31] Lennartz S, Bunde A 2011 Phys. Rev. E 84 021129
[32] Lennartz S, Bunde A 2009 Geophys. Res. Lett. 36 16706
[33] Yuan N, Fu Z, Mao J 2010 Physica A 389 4087
[34] Peng C K, Havlin S, Schwartz M, Stanley H E 1991 Phys. Rev. A 44 2239
[35] Jenkinson A F 1977 U. K. Met. Office Synoptic Clim. Branch Memo. 58 41
[36] Yuan N, Fu Z 2014 J. Climate 27 1742
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