基于二分图的温度网络拓扑性质研究

周磊; 支蓉; 冯爱霞; 龚志强

doi:10.7498/aps.59.6689

摘要

利用中国地区435个台站1961—2002年逐日平均温度序列,将温度变化发生在9天时间尺度上的特征编码在网络中,通过研究二分图温度网络(BGT网络)中节点与项目的关系,揭示出9天时间尺度上温度变化的特征及其在空间上的拓扑统计性质.网络中各节点RRRD, RrDD, eeed, DRRD, DDRR等所代表的温度波动模态在网络中异常频发,对9天尺度温度变化的预报有一定的指导意义.统计网络的节点度分布,集群系数等拓扑结构特征量,发现BGT网络服从正态分布特征.BGT网络项目内节点度的多样性大体上

关键词:

Abstract

Using the daily main observational temperature data of 435 stations in China from 1961 to 2002, temperature change on 9-day scale has been compiled in network. Research on the connection between nodes and items in bipartite graph temperature (BGT) network, reveals the temperature change on 9-day scale and the topological statistics in the space. The nodes of RRRD, RrDD, eeed, DRRD and DDRR have remarkably high degree, which is helpful to predict the temperature change on 9-day scale. Calculation of the topological parameters of this network, including degree distribution and clustering coefficients, shows the normal school character of the bipartite graph model temperature network. The distribution of nodes’ degree diversity in each item presents quadruple type character, and has similar characteristics as the complex regions defined by the fluctuant temperature network(FT network), displaying the background information of temperature change in the region by this two kind of network respectively. Thus, temperature network modeled by bipartite graph model present a possible and available approach to research the characteristic and rule about temperature change from the combination of the time and space scale.

Keywords:

作者及机构信息

(1)国家气候中心,中国气象局诊断预测室,北京 100081; (2)扬州大学物理科学与技术学院,扬州 225002; (3)扬州大学物理科学与技术学院,扬州 225002;国家气候中心,中国气象局诊断预测室,北京 100081

基金项目: 国家自然科学基金(批准号:40930952, 40875040, 40705031和40705036),国家重点基础研究发展计划(批准号:2006CB400503)资助的课题.

Authors and contacts

(1)Department of Physics, Yangzhou University, Yangzhou 225009, China; (2)Department of Physics, Yangzhou University, Yangzhou 225009, China;Laboratory for Climate diagnose and prediction, National Climate Center, China Meteorological Administration, Beijing 100081, China; (3)Laboratory for Climate diagnose and prediction, National Climate Center, China Meteorological Administration, Beijing 100081, China

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[23]	Barabasi A L, Albert R 1999 Science 286 509
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[25]	Hu L Q 1994 Xinjiang Meteorologica 17 6 (in Chinese) [胡列群 1994 新疆气象 17 6 ]
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施引文献

[1]	Feng G L, Dong W J 2003 Acta Pyhs. Sin.52 2347 (in Chinese) [封国林、董文杰 2003 物理学报 52 2347]
[2]	Feng G L, Gong Z Q, Dong W J 2005 Acta Pyhs. Sin.54 5494 (in Chinese) [封国林、龚志强、董文杰 2005 物理学报 54 5494]
[3]	Li J P, Shi J E 1993 Chinese Journal of Atmospheric Sciences 17 132 (in Chinese) [李建平、史久恩 1993 大气科学 17 132]
[4]	Li J P, Chou J F 2003 Chinese Journal of Atmospheric Sciences 27 653 (in Chinese) [李建平、丑纪范、2003 大气科学 27 653]
[5]	Zhang S Q, Zhang B, Wang A H 2001 Advance In Earth Science 16 467 (in Chinese) [张树清、张柏、汪爱华 2001 地球科学进展 16 467]
[6]	Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 373
[7]	Huang W, Jiang R, Hu M B, Wu Q S 2009 Chin. Phys. B 18 1306
[8]	Zhang H F, Small Michael, Fu X C, Wang B H 2009 Chin. Phys. B 18 3639
[9]	Meng Q K, Zhu J Y 2009 Chin. Phy. B 18 3632
[10]	Tsonis A A, Swanson K L, Roebber P J 2006 Bull. Am. Meteorol. Soc. 87 585
[11]	Tsonis A A, Swanson K L 2008 Phy. Rev. Lett. 100 228502
[12]	Tsonis A A, Swanson K L, Kravtsov S 2007 Geo. Res. Lett. 34 13705.
[13]	Gong Z Q, Zhou L,Zhi R, Feng G L 2008 Acta Pyhs. Sin.57 5351 (in Chinese) [龚志强、周磊、支蓉、封国林2008 物理学报 57 5351]
[14]	Zhou L, Gong Z Q, Zhi R, Feng G L 2008 Acta Pyhs. Sin.57 7380 (in Chinese) [周磊、龚志强、支蓉、封国林2008 物理学报 57 7380]
[15]	Zhou L, Gong Z Q, Zhi R, Feng G L 2009 Acta Pyhs. Sin.58 7351 (in Chinese) [周磊、龚志强、支蓉、封国林2009 物理学报 58 7351]
[16]	Newman M E J, Watts D J, Strogatz S H 2002 National Academy of Sciences. 99 2566
[17]	He D R, Liu Z H, Wang B H 2008 Complex Systems and Complex Networks (Beijing: High Education Press) p121(in Chinese) [何大韧、刘宗华、汪秉宏 2008 复杂系统与复杂网络(北京:高等教育出版社)第121页]
[18]	Zhou T, Ren J, Medo M, Zhnag Y C 2007 Phys. Rev. E 76 046115
[19]	Wang X F, Li X, Chen G R 2006 The theories and application of complex network (Beijing: Tsinghua Unversity Press) p10 (in Chinese) [汪小帆、李翔、陈关荣 2006 复杂网络理论及其应用(北京:清华大学出版社)第10页]
[20]	Xiong K G, Yang J, Wan S Q, Feng G L, Hu J G 2009 Acta Pyhs. Sin.58 2843 (in Chinese) [熊开国、杨杰、万仕全、封国林、胡经国 2009 物理学报 58 2843]
[21]	Ravasz E, Baraba'si A L 2003 Phys. Rev. E 67 026112
[22]	Zhang P P, Chen K, He Y, Zhou T, Su B B, Jin Y, Chang H, Zhou Y P, Sun L C, Wang B H, He D R 2006 Physica A 360 599
[23]	Barabasi A L, Albert R 1999 Science 286 509
[24]	Xiao D X, Xie J, Xu C L 2007 Modern Agriculture 22 27 (in Chinese) [肖道刚、谢军、徐长乐 2007 现代农业 22 27]
[25]	Hu L Q 1994 Xinjiang Meteorologica 17 6 (in Chinese) [胡列群 1994 新疆气象 17 6 ]
[26]	Lu Y Z, Zuo W 2004 Momitering and Analysis of Environment 03 47 (in Chinese) [鲁远曙、左卫 2004 环境监测与分析 03 47]
[27]	Zhuang S, Huang G P 1999 Fujian Environment 21 35 (in Chinese) [庄苏、黄公仆 1999 福建环境 21 35]

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