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. 2020 May 21;11:2532. doi: 10.1038/s41467-020-16286-6

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© The Author(s) 2020

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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Fig. 4 — a–d Bayesian estimates (with 95% credible set) and observed average index (RII; with 95% confidence interval) along a density gradient at each stress level in the simulations (n = 5 independent samples in model simulations for the density gradient from two to eight at each stress level). e–h experimental data (for the density gradient from 2 to 20 plants per pot, n_{salt_0} = 25, 29, 17, 16, 15, 15 and 16 independent pots, respectively; n_{salt_50} = 20, 25, 13, 17, 16, 13, 16; n_{salt_100} = 30, 26, 15, 12, 14, 14, 13; n_{salt_150} = 29, 30, 15, 16, 17, 12, 11). Circles and represent observed values while triangles and lines represent Bayesian estimates. Source data are provided as a Source Data file.