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基于大气遥相关指数和海表温度关键区，以各关键区高度场平均值和海表温度关键区平均值之间的相关系数作为连边条件，建立体现大气遥相关和海表温度关键区相互作用的关联网络，进而给出了大气和海洋关键区相互作用的空间图像. 同时基于网络的结构特征量，研究了该网络的基本性质，给出了关键区中的网络关键节点，并分析了关键节点对网络性质的影响. 研究结果表明: 大气遥相关和海温关键区关联网络具有一定的小世界性质，即网络具有小的平均路径长度和较大的集群系数；网络的平均路径长度在阈值为0.1–0.4时系统基本保持稳定，即网络的性质保持不变，进而证明了以信度为0.01下的相关系数0.19作为连边阈值的有效性. 对于网络中的单个节点网络特征分析发现，东亚-太平洋遥相关1区和2区以及太平洋-北美遥相关1区和 4 区在网络中具有较大的节点度，即大气中这 4个区域在大气遥相关和海表温度关键区中作用较强；北太平洋涛动区域1，东亚-太平洋遥相关区域 3的节点度则相对最小，即这个区域在大气遥相关和海表温度关键区相互作用中的影响较小. 通过依次去除网络中度大的节点进一步证明了网络具有一定的鲁棒性. 该研究对于重点把握遥相关和海温的一些重要区域具有一定指示意义，也从另一角度提供了研究海气相互作用新方法.Based on the index of atmospheric teleconnection and the key areas of the sea, taking the relationship between the average of the height fields of the key areas and the average of the key areas of SST as boundary condition, the associated network that embodies the interaction between atmospheric teleconnection areas and the key areas of SST is constructed. Then the image of the interaction between atmospheric and ocean is given. Based on the structural characteristics of network, the basic nature of the network and the key nodes of the interaction network are studied and the influence of the key nodes on network is analysed. The Results show that the associated network belongs to the small world that has a smaller average path length and a lager clustering coefficient. Besides, the average path length has a stable value in the threshold less than 0.4. In other words, in this case the characteristics of network remain unchanged, and then it is proved that using the correlation 0.19 as the condition of edge connection is effective. The single node characteristic is analysed in the network and the results show that the areas of the East Asia-Pacific 1 and 2 and the Pacific/North American pattern 1 and 4 have lager node degrees. That is to say, these four atmosphere regions have stronger effect than other regions in the atmosphere and sea, the North Pacific Oscillation 1 and the East Asia-Pacific 3 have low node degrees, so these two regions have low effects on the region interaction. In addition, it is proved that the network has certain robustness by removing nodes in turn. The study is of significance to grasp some important areas of the teleconnection and the sea, and also it provides a new method to study air-sea interaction.
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Keywords:
- associative network /
- teleconnection regions /
- key areas of the sea
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[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Barabasi A L, Albert R 1999 Science 286 509
[3] Ren G, Lu L L, Wang W 2012 Acta Phys. Sin. 61 144501 (in Chinese) [任刚, 陆丽丽, 王炜 2012 61 144501]
[4] Gao X Y, An H Z, Liu H H, Ding Y H 2011 Acta Phys. Sin. 60 068902 (in Chinese) [高湘昀, 安海忠, 刘红红, 丁颖辉 2011 60 068902]
[5] 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]
[6] Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese) [封国林, 戴新刚, 王爱慧, 丑纪范 2001 50 606]
[7] Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181 (in Chinese) [封国林, 董文杰, 贾晓静, 曹鸿兴 2002 51 1181]
[8] Da C J, Chou J F 2008 Acta Phys. Sin. 57 2595 (in Chinese) [达朝究, 丑纪范 2008 57 2595]
[9] Da C J, Feng A X, Gong Z Q, Song J 2013 Acta Phys. Sin. 62 039202 (in Chinese) [达朝究, 冯爱霞, 龚志强, 宋健 2013 62 039202]
[10] Chou J F 1997 Bull. Chin. Acad. Sci. 5 325 (in Chinese) [丑纪范 1997 中国科学院院刊 5 325]
[11] Feng G L, Dong W J, Gong Z Q, Hou W, Zhi R 2006 Nonlinear Theories and Methods on Spatial-Temporal Distribution of the Observational Data (Beijing: Metrological Press) pp1-227 (in Chinese) [封国林, 董文杰, 龚志强, 侯威, 支蓉 2006 观测数据非线性时空分布理论和方法 (北京: 气象出版社) 第1–227页]
[12] He W P, Feng G L, Wu Q, Wan S Q, Chou J F 2008 Nonlinear Processes in Geophysics 15 601
[13] He W P, Feng G L, Dong W J, Li J P 2004 Acta Phys. Sin. 53 3258 (in Chinese) [何文平, 封国林, 董文杰, 李建平 2004 53 3258]
[14] Wan S Q, Feng G L, Zhou G H, Wang B M, Qin M R, Xu X Z 2005 Acta Meteorol. Sin. 63 516 (in Chinese) [万仕全, 封国林, 周国华, 王冰梅, 秦铭荣, 许遐桢 2005 气象学报 63 516]
[15] Zhi R, Lian Y, Feng G L 2007 Acta Phys. Sin. 56 1837 (in Chinese) [支蓉, 廉毅, 封国林 2007 56 1837]
[16] Tsonis A A, Swanson K, Kravtsov S 2007 Geophys. Res. Lett. 34 13705
[17] Wang G L, Swanson K L, Tsonis A A 2009 Geophys. Res. Lett. 36 07708
[18] Tsonis A A, Swanson K L 2011 Int. J. Bifurc. Chaos 21 3549
[19] Yamasaki K, Gozolchiani A, Havilin S 2008 Phys. Rev. Lett. 100 228501
[20] Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta Phys. Sin. 61 029202 (in Chinese) [龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 61 029202]
[21] Gong Z Q, Zhou L, Zhi R, Feng G L 2008 Acta Phys. Sin. 57 5351 (in Chinese) [龚志强, 周磊, 支蓉, 封国林 2008 57 5351]
[22] Wang X J, Gong Z Q, Zhou L, Zhi R 2009 Acta Phys. Sin. 58 6651 (in Chinese) [王晓娟, 龚志强, 周磊, 支蓉 2009 58 6651]
[23] Feng A X, Gong Z Q, Wang Q G, Feng G L 2012 Theor. Appl. Climatol. 10 704
[24] Zong H F, Zhang Q Y, Chen L T 2008 Chin. J. Atmos- ph. Sci. 32 220 (in Chinese) [宗海锋, 张庆云, 陈烈庭 2008 大气科学 32 220]
[25] Jin D C, Guan Z Y, Cai J X, Jiang L L 2010 Chin. J. Atmosph. Sci. 34 947 (in Chinese) [金大超, 管兆勇, 蔡佳熙, 江丽俐 2010 大气科学 34 947]
[26] Gong Z Q, Wang X J, Zhi R, Feng A X 2011 Chin. Phys. B 20 079201
[27] Wallace J M, Gutzler D S 1981 Monthly Weather Review 109 784
[28] Kistler R, Kalnay E, Kanamitsu M 2001 Bull. Amer. Meteor. Soc. 82 247
[29] Smith T M, Reynolds R W 2003 J. Climate 16 1495
[30] Wang X F, Li X, Chen G R 2006 Complex Network Theory and Its Application (Vol. 1) (Beijing: Tsinghua University Press) pp9-11 (in Chinese) [王小帆, 李翔, 陈关荣 2006 复杂网络理论及应用第1版 (北京: 清华大学出版社) 第9–11页]
[31] Zou Y, Donges F J, Kurths J 2011 Complex Systems and Complexity Science 8 27 (in Chinese) [邹勇, Donges F J, Kurths J 2011 复杂系统与复杂性科学 8 27]
[32] Zhou B T, Wang H J, Cui X 2008 Chin. J. Geophys. 51 999 (in Chinese) [周波涛, 王会军, 崔绚 2008 地球 51 999]
[33] Pozo-Vazquez D, Esteban-Parra M J, Rodrigo F S, Castro-diez Y 2001 J. Climate 14 3408
[34] Gu D J, Wang D X, Yuan J N 2004 J. Tropical Oceano- graphy 23 30 (in Chinese) [谷德军, 王东晓, 袁金南 2004 热带海洋学报 23 30]
[35] Li B, Zhou T J, Lin P F, Bao Q 2011 Acta Meteorol. Sin. 69 52 (in Chinese) [李博, 周天军, 林鹏飞, 包庆 2011 气象学报 69 52]
[36] Zhou T J, Yu R C, Gao Y Q, Drange H 2006 Acta Meteorol. Sin. 64 1 (in Chinese) [周天军, 宇如聪, 郜永祺, Drange H 2006 气象学报 64 1]
[37] Zhou T J, Yu R C, Gao Y Q, Drange H 2006 Acta Meteorol. Sin. 64 18 (in Chinese) [周天军, 宇如聪, 郜永祺, Drange H 2006 气象学报 64 18]
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