“…Microbial effects can be quantified by comparing interaction coefficients calculated from competition treatments using either Live or Sterilized soils of species j . Here, we quantify microbial effects using plant performance in sterilized soil as a reference, thereby capturing the overall impact of soil microbes (see also recent discussion on the usage of other reference soils such as unconditioned field soil, Abbott et al, 2021; Yan et al, 2022). Plant–plant interaction, in the presence of soil microbial effects, can be calculated as: and in the absence of microbial effects as:where B i , j ,live and B i , j ,sterilized represent the biomass of species i under the competitive impact of species j in Live and Sterilized inoculum of soil j , respectively, B i ,0,sterilized represents the biomass of species i grown individually in Sterilized inoculum, and Δ N j represents the density of species j competitors (in this case, Δ N j = 1).…”