Abstract

Financial crisis, rooted in a lack of system resilience and robustness, is a particular type of critical transition that may cause grievous economic and social losses and should be warned against as early as possible. Regarding the financial system as a time-varying network, researchers have identified early warning signals from the changing dynamics of network motifs. In addition, network motifs have many different morphologies that unveil high-order correlation patterns of a financial system, whose synchronous change represents the dramatic shift in the financial system’s functionality and may indicate a financial crisis; however, it is less studied. This paper proposes motif transition intensity as a novel method that quantifies the synchronous change of network motifs in detail. Applying this method to stock networks, we developed three early warning indicators. Empirically, we conducted a horse race to predict ten global crises during 1991–2020. The results show evidence that the proposed indicators are more efficient than the VIX and the other 39 network-based indicators. In a detailed analysis, the proposed indicators send sensitive and comprehensible warning signals, especially for the U.S. subprime mortgage crisis and the European sovereign debt crisis. Furthermore, the proposed method provides a new perspective to detect critical signals and may be extended to predict other crisis events in natural and social systems.

Highlights

  • Critical transition is a ubiquitous phenomenon in social-ecological fields [1, 2]

  • Our work focuses on directed triadic motifs (DTMs), whose 13 morphologies are defined as M1, M2, . . . , M13; for more detailed analysis, M14 is defined as the structures that cannot form a DTM, i.e., an unconnected node triplet

  • These results prove that the changing dynamics of motif transition intensity can validly capture the marginal change of the financial system to reveal financial crises, which provides a new perspective to detect early warning signals

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Summary

Introduction

Critical transition is a ubiquitous phenomenon in social-ecological fields [1, 2]. A small portion of research has emphasized that more informative signals may hide in tiny changes of local network topologies [15] because networks in similar global topologies may differ noticeably at a local level [16]. Inspired by this phenomenon, we aim to propose a novel early warning indicator by analyzing local network topologies

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