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. 2017 Oct 3;7:12565. doi: 10.1038/s41598-017-12852-z

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© The Author(s) 2017

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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Spatial distribution of cases (left), sub-clusters (middle), and progression links (right) in 2002 (first row), 2014 (second row), and 2015 (third row). The colors differentiate the progression chains. The sub-clusters were determined by the standard ellipses’ standard distances (long and short axes) and the orientation. The number of shifting links that form the progression links were used to determine the width of the progression links. The maps were created using Matplotlib (2.0.0) package in Anaconda (4.0.0, Python 2.7.11 version, url: https://www.continuum.io/anaconda-overview).