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本文首先实证研究了中国航空网(CAN)与外部经济环境,即国民生产总值(GDP)的相关性,进而揭示CAN的演化方式及其拓扑特征的起源.发现自1998年起网络节点的度与其GDP成线性关系,表明了网络拓扑与经济因素有密切的联系,且CAN的度演化服从类似于多重过程(multiplicative process)的模式,而该模式又强烈依赖于GDP的增长率.这种独特的模式暗示了CAN具有类似适应度模型的微观机理.通过对演化方程的研究发现:1)CAN在增长过程中,节点加入的时刻具有经济上的偏好性,即节点加入的时刻与该节
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关键词:
- 国民生产总值(GDP) /
- 中国航空网(CAN) /
- 双段幂率分布 /
- 多重过程
As a typical open complex system, airline network usually interplays with the economic environment during its self-organized evolution. In this paper, we investigate empirically the correlation between gross domestic product (GDP) and the Chinese airline network (CAN). It is found that the degree of the node has formed a linear correlation with its corresponding GDP since 1998 while a year later the CAN began to exhibit double-power-law degree distribution. Based on the observation, the dynamical equation of CAN is derived. A multiplicative process-like evolution pattern, which strongly depends on the GDP growth rate, is obtained. We demonstrate that such a process coupled with the exponential increase of nodes can yield a double-power-law distribution. The simulation is applied to CAN and we find that the simulation result is in agreement with real CAN.-
Keywords:
- gross domestic product (GDP) /
- Chinese airline network(CAN) /
- double power-law distribution /
- multiplicative process
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[1] Newman M E J 2003 SIAM Rev. 45 167
[2] Albert R, Barabási A L 2002 Rev. Mod. Phys. 74 47
[3] Han D D, Liu J G, Ma Y G, Cai X Z, Shen W Q 2004 Chin. Phy. Lett. 21 1855 Han D D, Liu J G, Ma Y G 2008 Chin. Phys. Lett. 25 765
[4] Bagler G 2008 Phys. A 387 2972
[5] Han D D, Qian J H, Liu J G 2009 Phys. A 388 71
[6] Barrat A, Barthélemy M, Pastor-Satorras R, Vespignani A 2004 Proc.Natl. Acad. Sci. USA 101 3747
[7] Vazquez A, Pastor-Satorras R, Vespignani A 2002 Phys. Rev. E 65 066130
[8] Broder A, Kumar R, Maghoul F, Raghavan P, Rajagopalan S, Stata R, Tomkins A, Wiener J 2000 Comput. Netw. 33 309
[9] Redner S 1998 Eur. Phys. J. B 4 131
[10] Jeong H, Tombor B, Albert R, Oltvai Z N, Barabasi A L 2000 Nature 407 651
[11] Chang H, Su B B, Zhou Y P, He D R 2007 Phys. A 383 687
[12] Gao L F, Shi J J, Guan S 2010 Chin. Phys. B 19 010512
[13] Barabási A L, Albert R 1999 Science 286 509 Barabási A L, Albert R, Jeong H 1999 Phys. A 272 173
[14] Jeong H, Néda Z, Barabási A L 2003 Europhys. Lett. 61 567
[15] Bianconi G, Barabási A L 2001 Europhys. Lett. 54 436
[16] Dorogovtsev S N, Mendes J F F 2006 Phys. Rev. E 74 016117
[17] Pan Z F, Wang X F 2006 Acta Phys. Sin. 55 4058(in Chinese) [潘灶烽、汪小帆 2006 55 4058]
[18] Gagen M J, Mattick J S 2005 Phys. Rev. E 72 016123
[19] Zhao H, Gao Z Y 2006 Chin. Phys. Lett. 23 2311
[20] Li J, Wang B H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051(in Chinese)[李 季、汪秉宏、蒋品群、周 涛、王文旭 2006 55 4051]
[21] Qu Z H, Wang P, Song C M, Qin Z G 2010 Chin. Phys. B 19 110504
[22] Liu F, Zhao H, Li M, Ren F Y, Zhu Y B 2010 Chin. Phys. B 19 040513
[23] Li W, Cai X 2004 Phys. Rev. E 69 04610 Chi L P, Wang R, Su H, Xu X P, Zhao J S, Li W, Cai X 2003 Chin. Phys. Lett. 20 1393
[24] Qian J H, Han D D 2009 Acta Phys. Sin. 58 3028 (in Chinese) [钱江海、韩定定 2009 58 3028] Qian J H, Han D D 2009 Phys. A 388 4248
[25] Gautreau A, Barrat A, Barthélemy M 2009 Proc.Natl. Acad. Sci. USA 106 8847
[26] Goh K I, Kahng B, Kim D 2002 Phys. Rev. Lett. 88 108701
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