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735
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preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
736
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preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
Supplementary Information 737
738
739
Supplementary Figure 1. Synthetic control study on reversibility. (top) A synthetic dataset involving the 740
progressive accumulation of characters X1 to X10. The output inferred from HyperTraPS accurately reports the 741
accumulation ordering of characters, with ambiguity about the first three characters which are observed 742
across all samples. (bottom) A synthetic dataset involving reversibility. The same accumulation process is 743
simulated, but with the potential for acquired characters to be lost reversibly. The output from HyperTraPS 744
(which assumes irreversibility) is not dramatically di\erent, except for a moderate amplification of the 745
uncertainty in the early characters. The e\ect of reversibility here is to increase uncertainty rather than to 746
introduce any systematic bias in the outputs. 747
748
.CC-BY 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
749
Supplementary Figure 2. All posterior orderings of AMR character acquisitions. This “global roadmap” 750
summarises “bubble plots” describing inferred evolutionary dynamics of KpAMR characters in di\erent 751
countries. Each row is a country, ordered vertically by descending number of Kp samples. Each column is a 752
KpAMR character; the horizontal axis within columns gives evolutionary orderings (from early to late). The size 753
of a point gives the probability that that character is acquired at that ordering in that country. For example, 754
across the vast majority of datasets (including the top row, USA, for example), Bla_chr has a high probability of 755
early acquisition and Gly_acquired has a high probability of late acquisition. In Cameroon, all characters have 756
similar inferred evolutionary orderings, reflecting the limited data available to make more precise statements. 757
Di\erent colour points give the output of runs with di\erent random seeds, to demonstrate consistency of the 758
estimates. Character names given in Fig. 1 caption. 759
760
.CC-BY 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
761
Supplementary Figure 3. Inferred interactions between KpAMR characters. An arrow from character X to 762
character Y reports an inferred interaction between the evolutionary acquisition of those characters. Blue 763
arrow: acquiring X makes acquiring Y more likely (“promoting”). Red arrow: acquiring X makes acquiring Y less 764
likely (“repressing”). The number on each arrow gives the proportion of countries in which that interaction was 765
inferred. Character names given in Fig. 1 caption. 766
.CC-BY 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
767
Supplementary Figure 4. KpAMR characters determining aspects of global variability in evolutionary 768
dynamics (alternative visualisation). Connected to Fig. 4. KpAMR characters (horizontal axis) are plotted by 769
their expected acquisition ordering (vertical axis) for each country (points). The country’s projection on PCA1, 770
PCA2, and PCA3, for those characters that most strongly covary with each PCA axis, are given by the colour of 771
a point. As in Fig. 4, those characters that covary with PCA1 form a consistent spectrum linked to precision: 772
low values of PCA1 correspond to less precise, more uniform timing, while higher values lead to more precise 773
earlier or later timings. Characters covarying with the other PCAs display wider ranges connected to PCA1-774
independent variability. Character names given in Fig. 1 caption. 775
776
.CC-BY 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted September 21, 2025. ; https://doi.org/10.1101/2025.09.20.677523doi: bioRxiv preprint
777
Supplementary Figure 5. New KpAMR data from Zanzibar and Dar es Salaam, Tanzania. Phylogenies and 778
KpAMR profiles from new datasets: (A) Zanzibar 2015-6. (B) Tanzania 2001-2. (C) Tanzania 2017-8. (D) 779
Pathogenwatch Tanzania. (E) Circular projection of the phylogeny of Tanzanian isolates in Fig. 7A. Colours: 780
green, 2001-2; blue, 2017-8; red, existing Pathogenwatch data. 781
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