{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"737d5dbae19074eb08733c2c1d8065ad2efaa2002be0ab435664c2bee06b59f6","created":"2026-10-03T07:17:57Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","adfe5ecb2c291ef1d70d343896fdc2fe9f962e104c81be731c45258694852ae5"],"salt":"15d2eb5b719f149e55e39990e2e017d5a38f7a16a0fec4f886bcb6f8989a58ac","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"bio.ecosystem-statphys.pairwise-sufficiency","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"adfe5ecb2c291ef1d70d343896fdc2fe9f962e104c81be731c45258694852ae5","relation":"special_case"}],"plain":"One could try to predict which species survive together by testing them two at a time and applying simple rules. If interactions involving three or more species at once matter, these two-at-a-time tests will fail for large communities.","posed_since":"","precise":"For a pool of S species, assembly rules based only on pairwise competition outcomes (a species pair coexists or one excludes the other) predict which subsets coexist. Determine the fraction of multispecies outcomes correctly predicted as S grows and whether failures are caused by higher-order interactions (non-additive terms in per-capita growth rates) or by multistability of pairwise models. An answer is the prediction accuracy versus S for S up to tens of species, with the cause of failures identified.","problem_ref":null,"references":"","settled_by":"Complete pairwise and multispecies competition experiments for pools of increasing S, with direct measurement of higher-order interaction terms.","status_note":"2017 microcosm experiments with 8 soil bacteria predicted about 90 percent of three-species outcomes from pairwise competitions, and also tested 7- and 8-species mixtures; a systematic measurement of accuracy versus S for tens of species is lacking.","title":"Do pairwise competition outcomes predict multispecies 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