Hierarchical communities in the walnut structure of the Japanese production network

Abstract

This paper studies the structure of the Japanese production network, which includes one million firms and five million supplier-customer links. This study finds that this network forms a tightly-knit structure with a core giant strongly connected component (GSCC) surrounded by IN and OUT components constituting two half-shells of the GSCC, which we call a\textit{walnut} structure because of its shape. The hierarchical structure of the communities is studied by the Infomap method, and most of the irreducible communities are found to be at the second level. The composition of some of the major communities, including overexpressions regarding their industrial or regional nature, and the connections that exist between the communities are studied in detail. The findings obtained here cause us to question the validity and accuracy of using the conventional input-output analysis, which is expected to be useful when firms in the same sectors are highly connected to each other.

38 pages, 17 figures

References in corpus (15)

• Community detection in graphs
• Power-law distributions in empirical data
• Natural Scales in Geographical Patterns
• Fast algorithm for detecting community structure in networks
• Maps of random walks on complex networks reveal community structure
• Resolution limit in community detection
• Community detection algorithms: a comparative analysis
• Dynamics of market correlations: Taxonomy and portfolio analysis
• Multilevel compression of random walks on networks reveals hierarchical organization in large integrated systems
• Large-scale structure of a nation-wide production network
• Estimating the resolution limit of the map equation in community detection
• Community characterization of heterogeneous complex systems
• Compression of Flow Can Reveal Overlapping-Module Organization in Networks
• Characterization of the community structure in a large-scale production network in Japan
• Jan Tinbergen's legacy for economic networks: from the gravity model to quantum statistics

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