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. 2023 Jun 7;17(8):1326–1339. doi: 10.1038/s41396-023-01448-3

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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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Fig. 6 — A Pearson correlations between core nrMAGs. The robustness is calculated under the adjusted significant p value is ≤0.05 and the correlation index (Pearson’s rho) is > 0.7 based on network. The blue lines represent positive correlations (Pearson’s rho > 0.7), red lines represent negative correlations (Pearson’s rho < −0.7). A phylum marked with an asterisk is not present among the correlating microorganisms. B Pearson correlations between core nrMAGs and measured AD chemical parameters. Asterisks represent the significant correlations (considered statistically significant as follows: p < 0.05 (*), p < 0.001 (**), p < 0.0001 (***), ns (no significant difference)). Using the cladogram shown on the left and data for TAN (total ammonia nitrogen), VOAs (volatile organic acids), TIC (total inorganic carbon), TS (total solids) and C/N (carbon to nitrogen ratio), eight clusters were distinguished. These are shown here separated by colour as follows: Cluster I: grey; Cluster II: brown; Cluster III: yellow; Cluster IV: green; Cluster V: purple; Cluster VI: blue; Cluster VII: orange; and Cluster VIII: dark green. Coloured boxes represent the specific phyla to which the nrMAGs belong to. Red dots represent the top hydrolysing nrMAGs (n = 10).