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Walk through the evidence

The five current manuscript figures form one argument: encode the observed history, compare developmental form, add weather as an external layer, condition on recent state, and use mismatches to choose the next measurements.

01RepresentWhat the VASE encodes 02CompareHow histories vary 03AssociateHow weather maps onto shape 04PredictWhat adds next-day skill 05QuestionWhat to measure next

Figure 1: How Fire VASE represents development

One endpoint can conceal many ordered histories. Fire VASE makes the allocation of observed growth through time visible and comparable.

Four verified dated FIRED histories above the Fire VASE forms that encode their cumulative observed growth. Gray bands identify unobserved dates rather than zero growth.

How to read this figure
- **Panels:** Each column is one real fire. Bars show daily growth share; the line shows cumulative share; the VASE below is the same history rendered as widening rings. - **Axes and objects:** Calendar time runs left to right in the charts and relative developmental time runs upward in each VASE. Width is the square root of cumulative reconstructed-area share. - **Look here:** Compare the early jump in Fire 159684 with the steadier accumulation in Fire 378845 and the longer, episodic record in Fire 220764. - **Comparison:** Similar endpoints do not imply similar ordered development. - **Supported conclusion:** The representation preserves ordering and exposes observation gaps; it does not identify a causal mechanism.

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Analysisvase_slices.parquet + event_analysis.parquet
Formal manuscript caption

Four verified FIRED events connect observed daily area increments, cumulative area, and VASE rings. Gray bands are unobserved dates, not zero-growth days; the VASE records normalized allocation through time rather than geographic shape.

Figure 2: Fire histories occupy broad developmental gradients

Adequately observed fires fill a continuous shape space. The leading directions describe when growth is allocated—not discrete fire types.

The primary shape-only morphospace for 10,246 consecutive histories, with axis loadings, observation-support counts, and example Fire VASEs.

How to read this figure
- **Panels:** A maps where fires fall; B shows which relative-time bins define PC1 and PC2; C shows how many archive fires meet each observation category; D gives real example VASEs. - **Axes:** PC1 explains 34.1% and primarily contrasts earlier with later allocation. PC2 explains 28.2% and contrasts middle-concentrated with more endpoint-weighted allocation. - **Look here:** The points spread continuously across the horizontal gradient instead of separating into isolated clusters. - **Comparison:** Read the loadings and VASE examples together; neither the point cloud nor a label alone supplies the interpretation. - **Supported conclusion:** Broad developmental gradients are reproducible. Natural fire classes and a universal restricted wedge were not established.

Challenge this result If the gradients vanished when more observations or another compositional metric were required, short-history or geometry choices could explain the pattern. See those tests →

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FigureFigure 2 · N = 10,246
AnalysisPCA variance, loadings, scores, and sensitivity tables in analysis/v2/
Formal manuscript caption

A shape-only coordinate system is fitted from 20 normalized growth-allocation bins for 10,246 gap-free histories. The broad gradients are reproducible, while exact neighbors, extreme examples, and low-dimensional compression require supplementary qualifications.

Figure 3: Measured weather maps weakly and unevenly onto form

Weather is added after the developmental axes are built. Its held-out relationship with morphology is small and depends on the response being predicted.

Mean vapor pressure deficit projected onto the developmental morphospace beside held-out prediction scores for several developmental responses in 9,212 weather-complete primary fires.

How to read this figure
- **Panels:** A colors occupied regions of the already-fitted shape space by median event-mean VPD. B shows held-out R² for several developmental responses under region, year-block, and strict space-time tests. - **Axes and colors:** Position is developmental shape; color is added weather, not an input to those axes. In B, farther right means more predictive skill. - **Look here:** Panel A does not show a clean weather gradient across shape, and Panel B varies strongly by response; peak timing and fold-fitted shape PC1 are barely recovered regionally. - **Comparison:** Compare outcomes and holdout schemes instead of searching for one cross-response headline. - **Supported conclusion:** Weather associations are weak and heterogeneous in this cohort and model. The figure does not show that weather is unimportant.

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FigureFigure 3 · N = 9,212 complete primary fires
AnalysisCommon-cohort event predictors, folds, performance, and uncertainty
Formal manuscript caption

Weather is projected after the axes are fitted. Held-out skill is small and response-dependent across the same 9,212 weather-complete primary fires.

Figure 4: Recent state carries most next-day predictive information

Measured weather adds a reproducible but small increment after current and previous growth, cumulative area, and elapsed time are known.

Held-out next-calendar-day growth predictions comparing recent fire state, measured weather, their interactions, spatial attribution, and seasons across 87,944 transitions.

How to read this figure
- **Panels:** A compares total held-out skill; B isolates increments above the same state baseline; C changes exposure geometry; D checks seasons. - **Axes:** In A, R² is total predictive performance. In B-D, ΔR² is only the extra skill gained after recent state is already included. - **Look here:** State sits near R² 0.45, while weather-only points sit much closer to zero. Adding weather moves the state model only slightly. - **Comparison:** The defensible weather comparison is incremental skill above state—not total R² from the interaction model. - **Supported conclusion:** Recent state predicts the next observed increment much better than these weather variables add on top. This is not a causal or operational forecast.

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ClaimRegion-held-out state R² 0.448; weather ΔR² 0.005; interactions ΔR² 0.018
Analysis87,944 exact transitions from 31,700 fires; paired blocked comparisons
Formal manuscript caption

In 87,944 exact next-day transitions, recent fire state provides most predictive information; weather adds a small increment and weather-state interactions add somewhat more. These are retrospective associations, not an operational forecast or causal estimate.

Figure 5: Matched mismatches define the next questions

Similar weather can accompany different developmental histories, and similar histories can accompany different weather—but observed mismatch is compatible with the conditional null.

Matching coverage, conditional-permutation references, and representative morphology-matched and weather-matched fire pairs.

How to read this figure
- **Panels:** A reports pair coverage; B compares observed mismatch dots with conditional-null boxes; C and D show two independent representative pairs. - **Axes:** The lower panels show cumulative reconstructed-area fraction across relative developmental time. Distance values are standardized diagnostics. - **Look here:** In B, the observed dots sit within the conditional reference distributions. In D, closely weather-matched fires follow visibly different histories. - **Comparison:** Treat C and D as separate pairs, not rows and columns of one reciprocal match. - **Supported conclusion:** These are controlled cases for new measurements. They do not establish excess mismatch, prevalence, or an omitted mechanism.

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Analysis3,710 weather pairs; 3,145 morphology pairs; conditional permutations
Formal manuscript caption

Unique, caliper-constrained pairs identify candidate contrasts, but observed mismatch is compatible with the conditional reference distribution. The examples generate hypotheses; they do not identify omitted mechanisms.