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. 2021 Jun 9;11:12230. doi: 10.1038/s41598-021-91266-4

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© The Author(s) 2021, corrected publication 2022

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Balance degree evolution. (a) The US. (b) Portugal. (c) Ireland. (d) Greece. (e) Spain. (f) France. (Top panels) Illustration of the evolution of the balance for the period between January 2005 and September 2020 in the WSSN (blue line) and of its detrended cumulative sum (red line). (Bottom panels) Illustration of three snapshots of representative networks at different times (before, at, and after the BUT). The WSSNs are illustrated using the degree of the nodes as a proxy for the location of the nodes. The most central nodes are at the centre and the low degree nodes are located at the periphery of the graph. The colors of the edges correspond to the Kendall’s tau estimates, with links going from dark red for the most negative to blue for the positive ones. In the Supplementary Information we provide Matlab images of all the networks displayed in the figure where node labels are incorporated. The reader can zoom in these networks for details.