"%3AAbstract%2F-3Cp-3EPairwise-20models-20are-20commonly-20used-20to-20describe-20many-2Dspecies-20communities.-20In-20these-20models%2C-20an-20inspanidual-20receives-20additive-20fitness-20effects-20from-20pairwise-20interactions-20with-20each-20species-20in-20the-20community-20%28%27additivity-20assumption%27%29.-20All-20pairwise-20interactions-20are-20typically-20represented-20by-20a-20single-20equation-20where-20parameters-20reflect-20signs-20and-20strengths-20of-20fitness-20effects-20%28%27universality-20assumption%27%29.-20Here%2C-20we-20show-20that-20a-20single-20equation-20fails-20to-20qualitatively-20capture-20spanerse-20pairwise-20microbial-20interactions.-20We-20build-20mechanistic-20reference-20models-20for-20two-20microbial-20species-20engaging-20in-20commonly-2Dfound-20chemical-2Dmediated-20interactions%2C-20and-20attempt-20to-20derive-20pairwise-20models.-20Different-20equations-20are-20appropriate-20depending-20on-20whether-20a-20mediator-20is-20consumable-20or-20reusable%2C-20whether-20an-20interaction-20is-20mediated-20by-20one-20or-20more-20mediators%2C-20and-20sometimes-20even-20on-20quantitative-20details-20of-20the-20community-20%28e.g.-20relative-20fitness-20of-20the-20two-20species%2C-20initial-20conditions%29.-20Our-20results%2C-20combined-20with-20potential-20violation-20of-20the-20additivity-20assumption-20in-20many-2Dspecies-20communities%2C-20suggest-20that-20pairwise-20modeling-20will-20often-20fail-20to-20predict-20microbial-20dynamics.-3C-2Fp-3E" contains a listed "%" character as part of the property label and has therefore been classified as invalid.

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