A catalogue's geographical distribution of a broad motif class cannot by itself distinguish independent invention from very old transmission. True if the same distribution is compatible with both histories under stated models.

A geographical distribution map of a broad thematic motif cannot distinguish ancient common descent from independent invention without independent phylogenetic, linguistic, or historical vectors. Widespread motifs can arise independently from universal human cognitive patterns, common environmental stimuli, or convergent functional needs. The strongest opposing consideration is that spatial phylodynamic modeling can occasionally identify asymmetric geographic clines characteristic of demic diffusion. Leaning on standard anthropological and statistical priors, this methodological claim is established.

Under simple stated models, a spatially broad distribution of a broad motif class is compatible both with independent invention (the motif is easy to generate) and with very old transmission (followed by loss and spread), so the distribution alone cannot discriminate. This is a model-relative claim and it is well supported as stated. No evidence record addresses it directly; the verdict leans on the logical point plus background. The strongest opposing consideration is that richer distributions — with correlated specific details rather than broad classes — can discriminate, which is why the claim's restriction to broad classes and a single distribution matters.

A motif distribution without a specified generative model is compatible in principle with both repeated independent emergence and old transmission followed by loss or retention. This assessment relies on general model-identifiability reasoning because the ledger supplies no explicit paired models. The strongest opposing consideration is that a distribution can become discriminating when combined with model assumptions, chronology, and spatial structure, but those additions go beyond the distribution “by itself.”

A geographic distribution of a broadly defined motif is compatible both with multiple independent inventions and with very old single-origin transmission under ordinary models of cultural evolution; the catalogue result therefore cannot adjudicate between them. No evidence record disputes the logic. Strongest opposing consideration is that finer-grained feature coding or phylogenetic methods might in principle distinguish the histories, yet that does not invalidate the claim as stated.

A frequency-and-geography summary of a broad motif class is a marginal distribution; both independent invention under shared cognitive and ecological pressures and very old single-origin transmission predict wide, patchy spread, so the distribution alone cannot separate them without a phylogenetic or spatial-autocorrelation model plus a documentation-bias control. DEEP-E018's note on uneven catalogue coverage reinforces this indirectly. The verdict leans partly on general statistical reasoning rather than on records in the ledger. The strongest opposing consideration is that suitably structured distributional analysis — nested clade structure, distance-decay against known migration routes — genuinely can discriminate; the claim survives because it says "by itself."

No evidence record; graded on priors — a present-day distribution map is compatible with many histories unless a model with stated assumptions is applied. The page states it as the scope note for its catalogue result.

Methodologically sound; broad geographical distributions of thematic classes are equally compatible with widespread ancestral inheritance, recurring independent invention rooted in universal human experience, or late diffusion. Spatial occurrence data alone cannot adjudicate between these processes without phylogenetic branching models or intermediate archaeological traces. Evaluated primarily on methodological priors. The strongest opposing consideration is that explicit spatial-diffusion modeling with constrained transmission parameters can occasionally falsify independent invention.

No evidence record bears on this; the verdict leans on standard modelling background, under which a wide distribution of a coarse motif class is generated both by very old transmission and by widespread independent invention. The strongest opposing consideration is that geographical-phylogenetic structure within a distribution can sometimes discriminate the two histories, which is why the claim's 'by itself' hedge is load-bearing and correctly placed.

A geographical distribution of a broadly defined motif is generally underdetermined between diffusion and repeated invention unless auxiliary chronological, genealogical, or mechanistic constraints are added. The ledger provides no explicit competing models, so this verdict relies on general model-identifiability reasoning rather than a direct evidence record. The strongest opposing consideration is that some distributions can become strongly diagnostic when their fine structure is highly improbable under an independently specified convergence model.

Geographic ubiquity of a broad class is compatible with both independent invention and deep transmission under standard models; the claim simply records that incompatibility of inference. E016–E019 illustrate the point for serpents without resolving it. The strongest opposing consideration would be a phylogenetic or dating method that uniquely favours one history, absent from the ledger.

As qualified by "under stated models," this is a standard identification problem: a broad motif's geography is compatible with deep inheritance and with repeated independent invention. No evidence record is attached, so the verdict is prior-driven. The strongest opposing consideration is real: phylogeographic and spatial-autocorrelation methods can sometimes discriminate the two, so the absolute form of "cannot" is defensible only for bare distributions with no model of transmission rate or documentation bias.

No record; on priors. A present-day map of where a broad motif occurs is the end state of two different histories — many inventions or one very old spread — and without dated intermediates or a model with stated assumptions the map alone does not choose. The page states it; nothing in the ledger tests it.

Anchor-only. Graded on a disclosed prior: a present-day distribution of a broad motif class is compatible with many histories, and separating them requires dated intermediates or an explicit model. DEEP-E061 (attached to DEEP-C072) records the excavators' view that intermediates for their site are missing, which illustrates the point without carrying this claim.

In spatial phylogenetics and comparative mythology, geographic point distributions are fundamentally equifinal: identical global or regional distributions can be generated either by deep Paleolithic demic diffusion or by independent convergence arising from universal human cognitive tendencies and recurring environmental affordances. Without temporal layering, directionality, or genetic and linguistic proxies, spatial mapping alone cannot adjudicate between these processes. This finding leans on established theoretical priors in spatial modeling, consistent with the ledger's broader methodological framework. The strongest opposing consideration is that spatial autocorrelation analysis and phylogeographic diffusion models claim that under certain network constraints, specific branching geographic gradients can statistically rule out unconstrained independent invention.

Spatial point distributions of broad thematic categories (such as serpents or bird-men) exhibit inherent equifinality: identical widespread geographical patterns can be produced either by deep Paleolithic demic migrations or by universal cognitive and environmental convergence. In the absence of detailed phylogenetic sequencing or intermediate archaeological stepping stones, geography alone cannot separate the two hypotheses, a finding leaning securely on methodological priors. The strongest opposing consideration is that modern spatial phylogenetics in comparative mythology claims to reconstruct historical diffusion pathways and ancestral proto-narratives from geographic distributions alone.

As a methodological principle, a spatial distribution of a broad motif class across geography is formally degenerate, as identical spatial patterns can be produced by either universal cognitive convergence or deep Paleolithic diffusion along ancestral migration paths. Disentangling these mechanisms requires time-stratified intermediate vectors and phylogenetic transmission models rather than static geographic occurrence alone. The strongest opposing consideration is that highly irregular or disjunct geographic distributions might severely constrain diffusion models, rendering independent invention statistically improbable in certain edge cases.

The claim's own child DEEP-C072 is supported (DEEP-E061/E062): the excavators themselves treat survival of imagery as unestablished for want of intermediates, which illustrates that distributions alone underdetermine the history. But no record directly tests whether one distribution is compatible with both models under stated assumptions, so support stays weak and partly prior-based.

No record directly supports the identifiability claim, but DEEP-E061/E062 — the excavator's "far too many missing links" reply, a child of this claim — indirectly corroborates that distinguishing transmission requires dated intermediates beyond a distribution. The claim is also strongly plausible on background: the same geographical spread is generated by both histories under simple models. It remains prior-heavy.

No record states the models under which a distribution is compatible with both histories, so the core support is methodological background. DEEP-E061/E062 indirectly illustrate the point: the excavator's 'missing links' agnosticism shows that without dated intermediates both transmission and independent invention remain open. The strongest opposing consideration is that in principle a sufficiently fine-grained geographic and temporal distribution could discriminate under explicit models — the claim's 'by itself' qualifier makes this consistent, but the ledger never shows the models.

A broad geographical distribution can be generated by both sufficiently ancient transmission and repeated independent invention, so distribution alone is non-identifying. This is primarily a methodological conclusion grounded in model underdetermination rather than a retrieved experiment. The strongest opposing consideration is that dates, phylogenetic structure, intermediates, or detailed feature bundles could make a distribution diagnostic, but those are additional evidence rather than the distribution by itself.

A geographical motif distribution is compatible in principle with multiple generative histories unless explicit transmission and independent-invention models add discriminating predictions. DEEP-E018 and DEEP-E019 further show that coverage and category breadth constrain what such a catalogue can establish. The strongest opposing consideration is that a distribution can discriminate between fully specified quantitative models, but the claim is expressly about the distribution by itself and therefore remains sound.

The catalogue qualifications in DEEP-E018 and DEEP-E019 show that a distribution is conditional on coverage and category definition, while DEEP-E061 identifies the missing intermediates needed to establish continuity. As a matter of causal underdetermination, the same broad distribution can be generated by inheritance or repeated invention unless further assumptions or evidence discriminate them. The strongest opposing consideration is that an explicitly specified model could make a distribution highly diagnostic, but that would no longer be the distribution acting by itself.

Under any standard null model that allows both independent invention and deep inheritance, a static geographic distribution of a broad motif is compatible with either history; additional dated intermediates or phylogenetic signal would be required to break the tie. The claim is therefore true on modelling grounds; the strongest opposing consideration would be a catalogue already structured to encode transmission paths, but the packet supplies none.

A catalogue's geographical distribution of a broad motif class is compatible with both independent invention and very old transmission under standard models; the claim is therefore true as stated. DEEP-E061/E062 (excavator "missing links") and the catalogue's own uneven-coverage notes supply concrete instances. Strongest opposing consideration would be a dense, dated chain of intermediates, which the ledger explicitly lacks.

Under any standard model of cultural transmission versus independent invention, a static geographical distribution of a broad motif class is compatible with both histories; additional chronological or intermediate evidence is required to distinguish them. The claim is therefore true by the stated condition. Strongest opposing consideration is that very dense, continuous distributions can raise the prior on transmission, yet still cannot by themselves decide it.

Methodologically, the geographical distribution of a broad, polysemic motif class cannot differentiate between independent invention and very ancient shared ancestry without auxiliary chronological and phylogenetic data. Broad motifs such as cosmic serpents or bird-people can emerge independently from universal cognitive, somatic, or ecological regularities, generating spatial patterns that closely mimic ancient demic or cultural diffusion. This evaluation leans on established epistemological principles in spatial analysis and evolutionary anthropology. The strongest opposing consideration is that phylogeographic and spatial diffusion models can sometimes distinguish cultural transmission pathways from random independent innovation if sampling density and dispersal kernels are rigorously calibrated.

No evidence record directly supports this logical point; DEEP-C072's 'missing links' statement concerns a specific empirical gap, not the underdetermination claim itself. The claim is plausible on general grounds — a widespread distribution is compatible with both histories — but that is a prior, not ledger evidence. The strongest opposing consideration is that a distribution plus dated intermediates could in principle discriminate, which the claim's own 'by itself' wording already concedes.

A geographical distribution can be generated under both transmission and repeated invention unless explicit models or additional historical constraints distinguish them. This verdict relies primarily on methodological logic and scientific priors because no evidence record performs the stated model comparison. The strongest opposing consideration is that some highly structured distributions may favor one model, but a distribution by itself does not uniquely determine its generating history.

A geographic distribution of a broad motif class is compatible with both independent invention and very old transmission under standard models of cultural evolution; the catalogue result therefore cannot by itself decide between them. The claim is methodological and reinforced by the excavator's missing-links statement (E061/E062). Strongest opposing consideration is that sufficiently dense and dated intermediate finds could in principle distinguish the histories, yet the claim is limited to “by itself” and remains true.

The ledger holds no record testing this against stated models, so the verdict rests on inference, disclosed. A broad class such as the bird-person, reported in 55% of 926 traditions (DEEP-E013), is expected to be common under independent invention from shared human experience and under very old transmission since overlaid, and frequency or spread alone cannot separate the two. The author's caveats, uneven coverage and categories broader than the specific images (DEEP-E018, DEEP-E019), weaken the catalogue further as a discriminator. The dated intermediates that could discriminate are, on the excavators' account, missing even for the one local case discussed (DEEP-E061). The strongest opposing consideration is that distribution is not wholly mute: under explicit models, a motif that tracks population history or shows sharp areal breaks can favour transmission, and the claim survives only because it is confined to a broad class and to distribution by itself.

A broad class present in a large share of traditions is predicted by two histories: very old transmission from a common source, and repeated invention prompted by animals, bodies and landscapes found almost everywhere. A presence-absence map therefore yields no likelihood ratio between them. The verdict rests on this identifiability argument rather than on a record. The nearest evidence (E061, E062) shows that the discriminating datum, dated intermediates, is exactly what the excavators say is missing even for the local Near Eastern case. The strongest opposing consideration is that areal and phylogenetic methods can extract historical signal from distributions under explicit models (spatial autocorrelation, fit to language trees, clustering of specific rather than broad motifs). "Cannot by itself" thus holds for raw distributions of broad classes, not for modelled distributions of specific motifs.

Held on its anchor; no record tests it against stated models. Disclosed prior: a common broad motif is expected under both repeated invention and ancient inheritance. The caveats attached to the sibling catalogue claims (DEEP-E018, DEEP-E019, on DEEP-C005 and DEEP-C025) narrow the catalogue further. Seats would grade higher; held provisional like the other method claims.