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. 2018 Feb 15;8:3086. doi: 10.1038/s41598-018-21489-5

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© The Author(s) 2018

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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Identification of the target regions through two types of association analysis methods. (a) The results of Euclidean Distance association analysis. The x-axis represents the wheat chromosomes and y-axis represents the Euclidean Distance value. The black lines show all fitting results of ED, the red dotted line shows the threshold of ED. The larger the result of ED is, the stronger the association is. The association threshold was 0.23. Peak regions are defined as regions where the Loess-fitted values are greater than the threshold value (P < 0.01). (b) The results of ΔSNP-index association analysis. The x-axis represents the wheat chromosomes, and the y-axis represents the ΔSNP-index values. Black lines are the average values of ΔSNP-index drawn by sliding window analysis. The red (P < 0.01), blue (P < 0.05) and green (P < 0.1) lines are the threshold values, which was calculated by Loess regression. Peak regions are defined as regions where the smooth value s are greater than the threshold value.