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. 2020 Mar 20;10:5175. doi: 10.1038/s41598-020-61533-x

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© The Author(s) 2020

Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Components of the various clusters (Flow properties (A), reach properties, climate and flood hazard (B), morphodynamics properties (C) and scale-dependent parameters (D)) assume different roles within the network depending on the centrality measure considered [larger importance is highlighted by symbols with sizes proportional to the centrality measure: betweenness (a), closeness (b), degree (c), and strength (d)]. Mean connectivity and rate of dis-connectivity (ICmean, IC30 in a) have more control over the network, because more information pass through these nodes (highest betweenness). Physiographic properties, low-flows and climate (Ph_sec, Q₃₀, CI in b) have more direct influence on other vertices (lowest closeness). The rate of channel adjustment, decadal trend in extreme flows and the rate of disconnectivity (slope of the HSF β, xQ₉₅ and IC₃₀ in (c)) are connected to lots of nodes at the heart of the network (highest degree), however the decadal trend in extreme flows (xQ₉₅, d) is the node with the higher level of correlation (highest strength). Figure was arranged using customized scripts on Rstudio Version 1.2.1335. See Data and software availability for details.