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. 2018 Mar 20;8:4891. doi: 10.1038/s41598-018-23101-2

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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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The 1:1 hexbin plot of the simulated (parameterized by the first (a) and second year (b) of the field experiment) and observed heading day based only on the climate effect, combined climate and sowing effects and combined climate, sowing and cultivar effects at a 1 km × 1 km resolution in the period 1972–2013 across western Germany. The color of each hexagonal cell shows the number of the simulated and observed points at each cell. Each panel of the figure included 12.5 million data points.