Barigozzi Matteo, Fagiolo Giorgio, Garlaschelli Diego
ECARES-Université Libre de Bruxelles, 50 Avenue F D Roosevelt, CP 114, 1050 Brussels, Belgium.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Apr;81(4 Pt 2):046104. doi: 10.1103/PhysRevE.81.046104. Epub 2010 Apr 9.
We study the topological properties of the multinetwork of commodity-specific trade relations among world countries over the 1992-2003 period, comparing them with those of the aggregate-trade network, known in the literature as the international-trade network (ITN). We show that link-weight distributions of commodity-specific networks are extremely heterogeneous and (quasi) log normality of aggregate link-weight distribution is generated as a sheer outcome of aggregation. Commodity-specific networks also display average connectivity, clustering, and centrality levels very different from their aggregate counterpart. We also find that ITN complete connectivity is mainly achieved through the presence of many weak links that keep commodity-specific networks together and that the correlation structure existing between topological statistics within each single network is fairly robust and mimics that of the aggregate network. Finally, we employ cross-commodity correlations between link weights to build hierarchies of commodities. Our results suggest that on the top of a relatively time-invariant "intrinsic" taxonomy (based on inherent between-commodity similarities), the roles played by different commodities in the ITN have become more and more dissimilar, possibly as the result of an increased trade specialization. Our approach is general and can be used to characterize any multinetwork emerging as a nontrivial aggregation of several interdependent layers.
我们研究了1992 - 2003年期间世界各国特定商品贸易关系多重网络的拓扑性质,并将其与文献中称为国际贸易网络(ITN)的总贸易网络的拓扑性质进行比较。我们表明,特定商品网络的链路权重分布极其不均匀,而总链路权重分布的(准)对数正态性纯粹是聚合的结果。特定商品网络的平均连通性、聚类和中心性水平也与其总对应网络有很大不同。我们还发现,ITN的完全连通性主要是通过许多将特定商品网络连接在一起的弱链路实现的,并且每个单一网络内拓扑统计量之间存在的相关结构相当稳健,且与总网络的相关结构相似。最后,我们利用链路权重之间的跨商品相关性来构建商品层次结构。我们的结果表明,在相对时间不变的“内在”分类法(基于商品之间固有的相似性)之上,不同商品在ITN中所起的作用越来越不同,这可能是贸易专业化程度提高的结果。我们的方法具有通用性,可用于表征任何作为几个相互依赖层的非平凡聚合而出现的多重网络。