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. 2020 Nov 16;10:19903. doi: 10.1038/s41598-020-76300-1

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© The Author(s) 2020

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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Top: a sample from the microcanonical configuration model ensemble with the relative scores of nSNES and sNODF. Bottom: the same sample with scores of sNODF against assortativity (left), nSNES against assortativity (right). Different colours are used for sampled networks that result connected or disconnected. The highlighted networks have high values of nSNES or sNODF, and show that for their extreme values, the systems can be disconnected (left) or barely connected (right). The left matrix, with a high nSNES, has a really assortative configuration, while the right one has a high sNODF and is highly disassortative. We do not exclude disconnected networks in our analysis since it could be a possible configuration for an ecological system.