07
The Five Metrics
The four dimensions describe what is being measured. The five metrics are the specific readings we publish from them. Every Reading cites at least one. Each sits downstream of the protocol above, so anyone with an account on the five systems can reproduce the number.
Each metric names a distance between what a brand does and how the world represents it. That distance shows up in two places, and Quellan reads both. The Quellan Index, the practice's culture desk, reads it in brand culture, in public, three editions a day. The diagnostic measures it in AI answers, on the protocol above. Same instrument, two arenas: culture is where the distance opens, the answer layer is where it compounds. The Index's working definitions live at quellan.io/index/metrics.
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01 · Representation Gap
The distance between what the brand built and what AI retrieves.
How we read it. One brand-specific query, one comparison query, one discovery query. Three runs across the five systems, forty-five observations. For each observation, the descriptor the model returns is compared to the brand's own current positioning. A match scores 1.0, a partial overlap 0.5, a mismatch or absence 0.0. Representation Gap is one minus the mean score, reported as a decimal between 0.00 and 1.00.
Worked example, Oatly. The brand's current thesis is a functional-drinks and dairy-replacement argument. AI returns "oat milk" in forty-two of forty-five observations. Score 0.07. Representation Gap = 0.93. Present, mis-framed, at the altitude that counts.
In the Index. The same distance, read in culture before it reaches the answer layer: A24 opens a music label while AI still files it under film.
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02 · Signal Lag
The weeks between a cultural move and its presence in AI answers.
How we read it. One event-linked query ("what is the latest with [brand]?") and one status query ("who is the current [role] at [brand]?"). Run weekly from the date of the event until at least three of five models reflect the change on two of three runs. Signal Lag is the days elapsed to first week of threshold, reported in weeks. If twelve weeks pass without the threshold, the reading is logged as indefinite.
Worked example, Loewe. Jonathan Anderson's Loewe exit was announced 17 March 2025, and he was confirmed at Dior Men in the same window. As of April 2026, five of five models still describe Loewe as under Anderson. Fifty-six weeks, threshold not met. Signal Lag = indefinite pending refresh.
In the Index. The cultural version of the same clock: Nike mining CBGB three decades after the fact.
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03 · Preference Gap
The distance between being mentioned and being recommended.
How we read it. One mention query ("what are the major [category] brands?") and one recommendation query ("I want to buy [category product], what should I get?"). Three runs per query across the five systems, sixty observations. Presence Rate is the share of mention-query observations where the brand appears. Preference Rate is the share of recommendation-query observations where the brand lands in the top three. Preference Gap is the gap in percentage points.
Worked example, Nike. Presence Rate 91 percent, named in nearly every athletic-footwear query. Preference Rate 28 percent, top-three in roughly one in four. Preference Gap = 63pp. Seen, not chosen.
In the Index. The same divergence, read in buying culture: luxury named everywhere while the replica market absorbs the choosing.
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04 · Niche Compression
The degree to which a category collapses to one winner in AI answers.
How we read it. One category-leadership query, rephrased five ways ("best," "top," "most respected," "leading," "iconic"), run across the five systems. Twenty-five observations. Compression is the share of observations where a single brand is named first. 1.0 is full compression, one winner every time. 0.2 is fully fragmented.
Worked example, niche perfume. Le Labo named first in twenty of twenty-five observations, Aesop three, Diptyque two. Compression = 0.80 to Le Labo. The category has a consensus answer before the reader asks.
In the Index. Compression running the other direction, in culture: an energy-drink team and a foam clog colliding in one drop.
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05 · Lead Time
The days between a Quellan reading and the first trade-press citation in the same frame.
How we read it. Not prompt-based. Each reading is timestamped on publish. We then track the first trade-press piece that covers the same move in the same frame over the following ninety days. Lead Time is the days from our reading to that citation. If trade press beats us to the frame, the reading is disqualified from the metric. Baseline publishing once ten readings close.
Note. Lead Time is the only metric in the family that a reader cannot reproduce directly, because it requires the Quellan publish log. Each measurement is timestamped and the cited trade pieces are dated, so the individual reading is inspectable even when the full protocol is not.
In the Index. The publish log doing the proving: Salomon codifying its lifestyle line months before the press cycle framed it.
Method inheritance
All five metrics inherit The Quellan Method v1.0 substrate, ChatGPT, Perplexity, Gemini, Claude, and Copilot, three runs per prompt per model, fresh sessions, no personalization.