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. 2023 Mar 3;13:3633. doi: 10.1038/s41598-023-30813-7

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© The Author(s) 2023

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Predicted relationship between mean temperature deviation and mean barley yield deviation for varying levels of the Inland gradient. The three graphs are drawn at the 10th, 50th and 90th percentile for the Inland gradient. Higher values for this gradient are associated with distance from the coast and cooler winter temperatures. Regression lines show the predicted yield deviation from the LMM when all other predictors are held constant at mean values. Shaded areas are ± 1 SE.