Triadic Pattern Detection on Inter‐Industry Production Networks: A Multi‐Commodity Analysis

Triadic motifs are the smallest interconnected building blocks of complex networks, such as production networks. They can be detected as over occurrences with respect to null models that only consider pairwise interactions. Recently, there has been growing interest in the role of triadic motifs in the propagation of economic shocks. However, their characterization at the level of individual commodities is still poorly understood.
To address this gap, we analyze both binary and weighted triadic motifs in the Dutch inter‐industry production network disaggregated at the level of 187 commodity groups. We introduce appropriate null models that filter out node heterogeneity and the strong effects of link reciprocity. We find that, while the aggregate network that overlays all products is characterized by a multitude of triadic motifs, most single‐product layers feature no significant motif, and roughly 85% of the layers feature only two motifs or less.
This result has several important policy implications. First, it suggests that the propagation of economic shocks through production networks is likely to be complex and heterogeneous, as it will depend on the specific triadic motifs that are present in each commodity layer. Second, it implies that statistical bureaus can identify fine‐grained information about the structural relationships between different commodities by analyzing triadic motifs at the disaggregated level. This information can be used to develop more targeted and effective policy interventions.
Overall, the analysis of triadic motifs in production networks has the potential to provide policymakers with valuable insights into the structure and dynamics of these networks. This information can be used to develop more targeted and effective policies to support economic growth and resilience.