This preprint proposes a population-level account of persona collapse that separates human-space Coverage, spatial Uniformity, and local Complexity. It evaluates ten LLMs on 1,144 synthetic profiles retained from 2,000, using 44 BFI items, 131 moral dilemmas, and three self-introductions per persona. The published results are strongly task-dependent: Qwen3-4B reaches the highest BFI Coverage (0.80) but local intrinsic dimensionality of 7.3 versus 14.4 for the human reference; CoSER-Llama-8B compresses BFI responses (EffL 1.36; Coverage 0.16) while varying widely on moral judgments; MiniMax-M2-Her has high BFI complexity (22.3) but almost no human-space Coverage (0.06). The framework is useful because it distinguishes surface variety from structural diversity. Its stronger claims require substantial qualification. A human reference exists only for BFI, so moral and self-introduction findings are model-to-model comparisons. The public artifact omits all ten-model outputs and the self-introduction embedding code required for Table 8. The 856 exclusions are produced by six deterministic rules rather than a documented manual review. Incremental R-squared uses ordinal integer encodings instead of the claimed one-hot predictors; gender keyword matching has demonstrable substring false positives; and template normalization lowercases text before searching for capitalized names, so names are not replaced. Fidelity and Cohen's d are also not independent evidence of caricature because both respond to the same assigned High/Low OCEAN targets, while dominant-share claims divide very small demographic R-squared totals. The faithful conclusion is that these model snapshots exhibit task-contingent homogenization and off-manifold behavior under this persona population, prompt set, and metric implementation; the study does not establish a universal collapse law, a causal training effect, or human population realism.
Research question
How to distinguish whether a population of agents conditioned by diverse profiles covers human behavioral space, is distributed without degenerate clustering, and preserves multidimensional complexity, and which person attributes survive in BFI, moral judgments, and self-presentations?