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. 2017 Jul 14;7:5395. doi: 10.1038/s41598-017-05731-0

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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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A predicted map of hexaploid frequency distribution throughout mainland China by using hexaploid group indexes. As hexaploid group indexes were of significantly difference (p = 0, < 0.05) among three assigned hexaploid frequency groups, the lowest value of all-hexaploid frequency group at Xingkai lake (−97) and the highest value of high frequency (51–99%) hexaploid group at Weishan lake (−176) were respectively used as critical values of all-hexaploid group and high frequency (51–99%) hexaploid group through discriminant analysis. The purple −97 contour line stands for the predicted boundary between all-hexaploids and high frequency (51–99%) hexaploids. The green −176 contour line represents the predicted boundary between high frequency (51–99%) hexaploids and low frequency (0–50%) hexaploids. −579 and 4198 indicate the lowest and highest values of predicted hexaploid group indexes respectively. The map was created in ARCMAPv.9.3 (ESRI, Redlands, CA, USA) (http://www.esri.com/products).