摘要Through empirical analysis of the global structure of the Worldwide Marine Transportation Network (WMTN), we find that the WMTN, a small-world network, exhibits an exponential-like degree distribution. We hereby investigate the efficiency of the WMTN by employing a simple definition. Compared with many other transportation networks, the WMTN possesses relatively low efficiency. Furthermore, by exploring the relationship between the topological structure and the container throughput, we find that strong correlations exist among the container throughout the degree and the clustering coefficient. Also, considering the navigational process that a ship travels in a real shipping line, we obtain that the weight of a seaport is proportional to the total probability contributed by all the passing shipping lines.
Abstract：Through empirical analysis of the global structure of the Worldwide Marine Transportation Network (WMTN), we find that the WMTN, a small-world network, exhibits an exponential-like degree distribution. We hereby investigate the efficiency of the WMTN by employing a simple definition. Compared with many other transportation networks, the WMTN possesses relatively low efficiency. Furthermore, by exploring the relationship between the topological structure and the container throughput, we find that strong correlations exist among the container throughout the degree and the clustering coefficient. Also, considering the navigational process that a ship travels in a real shipping line, we obtain that the weight of a seaport is proportional to the total probability contributed by all the passing shipping lines.
[1] Watts D J and Strogatz S H 1998 Nature 393 440 [2] Du W B and Zhou H 2009 Chin. Phys. Lett. 26058701 [3] Barabasi A L and Albert R 1999 Science 286 509 [4] Li W, Gu J and Cai X 2008 Chin. Phys. Lett. 252303 [5] Liang X M and Liu Z H 2008 Chin. Phys. Lett. 25 409 [6] Barabasi A L and Albert R 1999 Nature 286 509 [7] Caldeira M J 2006 Eur. Phys. J. B 49 523 [8] Chang H and He D R 2007 Physica A 383 687 [9] Newman M E J, et al 2001 Phys. Rev. E 64026118 [10] Xu X P, Hu J H and Liu F 2007 Chaos 17 023129 [11] Li W and Cai X 2004 Phys. Rev. E 69 046106 [12] Guimera R, Mossa S et al 2005 Proc. Natl. Acad. Sci.U.S.A. 102 7794 [13] Wang R and Cai X 2005 Chin. Phys. Lett. 222715 [14] Crucitti P, Latora V, et al 2006 Chaos 16015113 [15] Chen Y, Li N and He D R 2007 Physica A 376747--754 [16] Li W and Cai X 2007 Physica A 382 693 [17] Wang R, Wang D J and Cai X 2008 Physica A 3875639 [18] Guo L and Cai X 2008 Int. J. Mod. Phys. C 1912 [19] Marchiori M and Latora V 2000 Physica A 285539 [20] Latora V and Marchiori M 2002 Physica A 314109 [21] Hu Y and Zhu D 2009 Physica A 388 2061-2071 [22] Yu X L, Zhang D M et al 2006 J. Phys. A: Math. Gen. 39 14343--14351 [23] Musso E et al 2006 Port Economics 16 171 [24] Liu Z H and Hu B 2005 EPL 72 315 [25] Zhou Y Z, Zhou J and Liu Z H 2008 EPL 8460001 [26] Liu Q, Fang J Q and Li Y 2007 Commun. Theor. Phys. 47 752 [27] Lu X B, Wang X F and Fang J Q 2006 Physica A 371 841 [28] Wang W X, Wang B H et al 2005 Phys. Rev. Lett. 94 188702 [29] Wang W X, Wang B H, et al 2006 Phys. Rev. E 73 026111 [30] Yin Y P, Zhang D M et al 2007 Physica Scripta 76 606 [31] www.mscgva.ch, www.apl.com, www.anl.com.au,www.cosco.com/en/index.jsp [32] Sienkiewicz J et al 2005 Phys. Rev. E 72046127 [33] Sen P et al 2003 Phys. Rev. E 67 036106 [34] Seaton K A and Hackett L M 2004 Physica A 339635 [35] www.aapa-ports.org.
2009, Vol. 26 
