Explanation of the unexplained K=8 composition residuals
Determine why all five K=8 language-model ecosystem arms exhibit positive residuals relative to the fitted relationship between pool travel propensity and five-generation collapse drift.
References
Five arms agreeing is not one arm's jitter; the index misses something about $K{=}8$, and we do not know what.
— The Oligarch Barely Steers Model Collapse in Multi-Model Ecosystems
(2609.11146 - Liu et al., 10 Sep 2026) in Appendix, Section Composition Index Details