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. 2022 May 30;13:3029. doi: 10.1038/s41467-022-30419-z

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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. 3 — a Visual summary of maximum likelihood ancestral state reconstruction as a two-character state (gonochorism or hermaphroditism) that best approximates results of our RJ-MCMC Multistate model. The sexual systems of extant species and their ancestors are colour coded for gonochorism (n = 4320; grey) and hermaphroditism (n = 294; magenta). b Density plots from RJ-MCMC Multistate models for the estimated probability of character state at the root of the phylogeny colour coded for gonochorism (mean = 66%; grey) and hermaphroditism (mean: 34%; magenta). c RJ-MCMC multistate posterior distributions of the transition rates from gonochorism to hermaphroditism (magenta) and from hermaphroditism to gonochorism (grey).