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. 2019 Jan 22;97(5):947–969. doi: 10.1111/tpj.14160

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© 2018 The Authors. The Plant Journal published by John Wiley & Sons Ltd and Society for Experimental Biology.

This is an open access article under the terms of the http://creativecommons.org/licenses/by-nc-nd/4.0/ License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made.

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Manhattan plot of genome‐wide association analysis results with significant genetic association [−log(P) > 4.66). A mixed linear model (MLM) was used to fit both Q and K matrixes: (a) 178 single‐nucleotide polymorphism (SNP) markers were significantly associated with low‐Pi‐tolerance indices (LPTI = T_PD/T_PS) of 19 morphological traits; (b) eight SNP markers were significantly associated with five morphological traits under Pi‐deficient conditions; (c) 15 SNP markers were significantly associated with seven morphological traits under Pi‐sufficient conditions.