<b>Eco-evolutionary dynamics of plant-soil feedbacks explain the spread potential of a plant invader under climate warming and biocontrol herbivory</b>

<b>Appendix Tables</b><b>Table S1.</b><b> </b>Field experimental treatments<b>Table S2.</b><b> </b>Herbivore damages of each field cages over four generations and population size at the fourth generation<b>Table S3.</b><b> </b>DNA extraction and sequencing for soil microbial community<b>Table S4.</b> Pool-seq genomic information for <i>each Ambrosia artemisiifolia</i> field experimental F₄ population<b>Table S5.</b> The variables used in DAGs<b>Table S6.</b> Pairwise <i>F</i>_ST for <i>Ambrosia artemisiifolia</i> offspring<b>Table S7.</b><b> </b>Soil physicochemical properties<b>Table S8.</b><b> </b>Effects of field treatments on soil physicochemical properties<b>Table S9.</b><b> </b>Summary of bacterial phylum across all samples<b>Table S10.</b><b> </b>Summary of fungal phylum across all samples<b>Table S11.</b><b> </b>Summary of fungal trophic modes across all samples<b>Table S12.</b><b> </b>Microbial richness (number of operational taxonomic units), Shannon diversity for bacterial and fungal community, inversed Simpson diversity for bacterial and fungal community, rarefied richness for bacterial and fungal community and Faith’s phylogenetic diversity for bacterial and fungal community in the rhizosphere of <i>Ambrosia artemisiifolia</i> under control, <i>Ambrosia</i> with a history of herbivory, with a history of warming, with a history of both warming and herbivory and soil without <i>Ambrosia</i> growth<b>Table S13.</b> Effects of field treatments on bacterial richness (number of operational taxonomic units), Shannon diversity for bacterial and fungal community, inversed Simpson diversity for bacterial and fungal community, rarefied richness for bacterial and fungal community and Faith’s phylogenetic diversity<b>Table S14.</b> Effects of field treatments on fungal richness (number of operational taxonomic units), Shannon diversity for bacterial and fungal community, inversed Simpson diversity for bacterial and fungal community, rarefied richness for bacterial and fungal community and Faith’s phylogenetic diversity<b>Table S15.</b> Fungal trophic mode richness (number of operational taxonomic units), Shannon diversity for bacterial and fungal community, inversed Simpson diversity and Pielou's Evenness for groups of pathotroph, plant pathogen, saprotroph, symbiotroph and AMF in the rhizosphere of <i>Ambrosia artemisiifolia</i> under control, <i>Ambrosia</i> with a history of herbivory, with a history of warming, with a history of both warming and herbivory and soil without <i>Ambrosia</i> growth<b>Table S16.</b> Effects of field treatments on richness (number of operational taxonomic units), Shannon diversity for bacterial and fungal community, inversed Simpson diversity, evenness for groups of pathotroph, plant pathogen, saprotroph, symbiotroph and AMF<b>Table S17.</b> Plant-soil feedback, and pairwise F_ST or and plant pathogen distance for each approach<b>Table S18.</b> Statistic summary of plant-soil feedback for each approach and treatment by bootstrap<b>Table S19.</b> Effects of field treatments on the correlation between PSFs and biotic distance<b>Table S20.</b> Total biomass <i>of Ambrosia artemisiifolia</i> in greenhouse plant-soil feedback experiment, and the plant genomic composition and abundance of three pathogens families in the soil used in the greenhouse experiment<b>Table S21.</b> Effects of field treatments on the correlation between total biomass and plant genomic composition, abundance of Microascaceae, of Sclerotiniaceae and of Sympoventuriaceae<b>Table S22.</b><b> </b>Phenotypic traits of <i>Ambrosia artemisiifolia</i> in the greenhouse plant-soil feedback experiment<b>Table S23.</b> The posterior probability for each direction for two DAGs<b>Table S24.</b> The correlation between population size and soil abiotic and biotic propertiesDAG_model.r: the causal model code16Sfastq_seqData: the sequence data of 16SITSfastq_seqData: the sequence data of ITS<br><br><br><br><br><br>