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. 2019 Apr 2;9:5493. doi: 10.1038/s41598-019-41932-5

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© The Author(s) 2019

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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Panel (a): estimated intensity functions of the key wheat producing regions. Bold lines represent the median of the ensemble, while the dotted lines identify the maximum and the minimum of the ensemble. The different colours are associated with the 8 key regions, as in Fig. 1. Panel (b): summary plot of the analysis on heat stress events. Disks represent the 8 key regions, with the size being proportional to the corresponding wheat production in 2016 (data from FAOSTAT). Yellow disks represent regions with temporal inhibition within the region itself, while red ones represent regions with temporal clustering within the region itself. Blue links represent estimated clustering between regions, while green links represent estimated inhibition between regions.