As of mid-2026, no located source operationalizes Bartlett's distortion typology as model-collapse metrics — including LLM 'broken telephone' papers that echo his paradigm but never cite him

A 2026-07-12 search across papers sitting directly on the Bartlett/serial-reproduction ↔ model-collapse intersection found none that operationalizes Bartlett's three named distortion categories — assimilation, leveling, sharpening — as distinct, measurable collapse metrics. The resemblance is in active informal use; the mapping is not.

Two LLM papers whose framing most directly echoes Bartlett's serial-reproduction paradigm were fetched and checked: "LLM as a Broken Telephone: Iterative Generation Distorts Information" (arXiv:2502.20258) and "LLM Web Dynamics: Tracing Model Collapse in a Network of LLMs" (arXiv:2506.15690). Neither mentions Bartlett, "serial reproduction," "assimilation," "leveling," or "sharpening" at all — despite the first borrowing the "broken telephone" metaphor that is Bartlett's chain-transmission paradigm. This is consistent with the finding that the 2026 "Model Collapse as Cultural Evolution" paper (see claim-iterated-learning-theory-reframes-model-collapse-as-cultural-evolution) cites Kirby's iterated-learning framework but not Bartlett by name, and with the one paper that does invoke Bartlett (claim-hintze-2025-generation-loops-invoke-bartlett-typology-as-analogy) using the typology only as loose analogy.

So the state of the literature is: a live import of Bartlett into AI system design, a live iterated-learning-versus-collapse thread, and an independent eight-way AI collapse taxonomy — but no source connecting Bartlett's named typology to specific collapse failure modes. The unclaimed sentence would read something like "our leveling metric is variance collapse; our assimilation metric is KL-divergence toward the base model's prior; our sharpening metric is mode concentration." It remains the open question-bartlett-distortion-typology-maps-to-model-collapse-failure-modes.

Scope caveat. This is a search-scoped absence finding, not an exhaustive literature review. [unverified -- could not confirm or deny after search] applies to the central mapping's non-existence: WebFetch surfaces abstracts and visible page content, not always full paper text, so "no source found" means "none surfaced by this search," not "none exists."