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. 2022 Apr 6;13:1865. doi: 10.1038/s41467-022-29523-x

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© The Author(s) 2022

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 The reconstructed millennial AA index (black line) derived from the PDA-based reconstruction and the reconstructed AMO index (shading) based on multi-type proxies³³. b Actual AA index (black line) and predicted AA index (blue line) based on multivariate linear regressions on only the AMO index. c The reconstructed millennial AA index derived from the PDA-based reconstruction and the reconstructed GHGs forcing (shading) used in the PMIP3 last-millennium project³⁵. d Actual AA index (black line) and predicted AA index (blue line) based on multivariate linear regressions on both the AMO index and GHGs forcing. The AMO index and GHGs forcing have been smoothed using 30 year rolling means.