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. 2020 Jan 9;10:73. doi: 10.1038/s41598-019-56704-4

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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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The in and out-degree distributions for the full network and the strong component. Upper panels (A) and (B): the complementary cumulative degree distributions for the full network P_k for the in-degree in panel (A) and the out-degree panel (B). The tail of each are well fitted by Weibull distributions. Lower panels (C) and (D): the degree distribution for the strong component with the in-degree distribution displayed in panel (C), this receives the best support from an exponential distribution (dashed line), however, fitting to the tail a Weibull (dotted) is best supported. In panel (D) the out-degree distribution is shown, the whole distribution (dashed line) is well fitted by a normal distribution (dashed) and the tail, again, by a Weibull (dotted).