双曲空间下国际贸易网络建模与分析——以小麦国际贸易为例

Modeling and Analysis of International Trade Network in Hyperbolic Space——Case of the International Wheat Trade

将国家经济规模和贸易距离结合在一起,基于双曲几何理论,将国际贸易网络嵌入双曲空间。首先用骨架网络提取方法对贸易网络进行预处理,以保证映射精度,然后基于小麦贸易数据和复杂网络几何框架将国际贸易网络映射到双曲空间,结果表明小麦贸易具有"核心-边缘"结构,即美国、加拿大、澳大利亚等国处于贸易网络的核心地位。随着时间演化,美国和加拿大等贸易大国一直处于世界前列,俄罗斯的贸易影响力在提升,而中国则呈现逐年下滑的态势。此外,国际小麦贸易双曲网络的坐标还揭示了经济学含义。

Based on the theory of hyperbolic geometry,the international trade network is embedded in hyperbolic space by combining the national economy with trade distance.In order to ensure the accuracy of mapping,this paper preprocesses the method of backbone network firstly.And then the geometric framework of complex network is applied to map trade network to the hyperbolic space based on wheat trade data.The results demonstrate that hyperbolic network not only reflect the structure of"core-periphery",namely the United States,Canada,Australia and other countries at the core of the trade network.Over time,major trading nations,such as the United States and Canada have been at the forefront of the world.Russia's trade influence is on the rise,while China is showing a declining trend year by year.In addition,the coordinates of the international wheat hyperbolic network reveal the economic implications.