“…Furthermore, we find that the quadratic SSI model, usually called the "generalized Lotka-Volterra (gLV) model", is not capable of recapitulating the entire set of pair and trio growth outcomes using a single parameterization. Although the gLV model may be useful when fit to whole communities [19,20,21], our work suggests that this model lacks the necessary complexity to be predictive when built from building blocks assumed to be universal.Alternatively, the microbiome can be modeled by species-metabolite interaction (SMI) models, which are constructed using the interactions of individual microbes with a shared metabolite pool [28,29,30,14,11]. SMI models follow from networks which include both microbiota and metabolites, which may be inferred from literature [30] or from genome-scale metabolic networks [31].…”