Percentile Position

Model Outputs Depend on Their Comparison Set

A selected road's Annualised Comparative Model Output is informative, but it becomes more useful when compared with a sampled distribution. If most nearby roads are straight and one road has an elevated curvature-driven output, the percentile view makes that contrast visible.

Graphs are not decoration. They help answer whether the selected road is typical, elevated, unusual, or part of a high-risk tail under the current scenario assumptions.

Context matters

Percentiles are comparative within the sampled road context. They do not prove that a real collision will happen; they show how one modelled road compares with the sampled modelled network.

Distribution Outputs
Mean
Average model output across sampled roads.
Median
The middle sampled road value, useful when data are skewed.
P95
Threshold where only the highest 5 percent of sampled roads sit above it.
Tail
High-end behaviour that helps identify severe outliers or clusters.
Raw Output and Comparative Context

Interpretation Requires a Visible Comparison Set

Percentile Example

If a road sits at the 87th percentile, it means it is higher than 87% of the sampled comparison set under the current assumptions.

That does not make it universally dangerous. It means the selected road is elevated relative to the roads sampled in that view and scenario.

Sampled-comparison limitation

Percentile context depends on the selected area, sample radius, visible road mix, public-data completeness, and the scenario assumptions active at the time.

Graph Outputs

Distribution Views and Analytical Purpose

Histogram / KDE

Central Distribution Shape

Shows the shape of the sampled risk distribution and whether the selected road sits in a dense or unusual region.

ECDF / CDF

Cumulative Percentile Position

The empirical cumulative view makes percentile interpretation explicit and easier to explain.

Box / Violin

Distribution Spread and Robust Summary

Robust distribution views show median, quartiles, tails, and whether high-risk values are rare or common.

Exceedance / Contribution

Upper-Tail Concentration

Tail-focused views help identify whether risk is broadly distributed or concentrated in a smaller set of segments.

P95 / P99 Markers

Upper-Percentile Markers

Upper-percentile markers help separate ordinary variation from the highest tail of sampled model outputs.

P95 P99
Compare Mode

Scenario-Comparison View

Before/after distributions can show how rain, fog, speed, fatigue, or vehicle profile shifts the sampled network.

Graph Interpretation Guide

What Each View Shows and What Not to Conclude

Graph Type What It Shows When to Use It What Not to Conclude
Histogram / KDEDistribution shape and density of sampled model outputs.Use when judging whether the selected road sits in a common or unusual part of the sample.It is not a national distribution unless the sample is national.
ECDF / CDFCumulative position and percentile interpretation.Use when explaining how much of the sampled set lies below the selected output.A percentile is not a universal safety rank.
Box Plot / ViolinMedian, quartiles, spread, and tail shape.Use when comparing stable and variable samples.It does not show the cause of each road's output on its own.
Exceedance / Upper TailHow many samples exceed a chosen output or threshold.Use when identifying whether elevated outputs are rare or common in the current context.Exceedance is model-contextual, not observed collision frequency.
Contribution / Component BreakdownWhich model factors contribute most to a displayed output.Use when explaining whether geometry, speed, friction, or scenario assumptions dominate.Component bars should not be treated as independent crash causes.
Compare ModeBefore/after distributions under changed assumptions.Use when testing rain, fog, fatigue, overspeed, or vehicle-profile sensitivity.Scenario shifts are assumption tests, not measured environmental records.
Selected-Road Context

Graph Context Should Follow the Current Road and Scenario

Consistency Target

Graph data, risk cards, maths output, exports, and map overlays should be based on the same selected-road state.

For that reason, the public site presents the graphs as part of the evidence trail rather than as isolated analytics.

Percentile

Selected-Road Marker

The chosen road can be placed on the distribution to show relative position.

Scenario sensitivity

Assumption Changes Alter Context

Weather, speed, vehicle type, and behaviour assumptions should be interpreted alongside the distribution view.

Export

Graph Data as Review Evidence

Distribution-data exports make the graph reproducible and easier to audit after the browser session.

Comparison Between Scenarios

Separating Geometry Effects from Scenario Effects

Before / After Distributions

Weather or Visibility Shifts

Comparing dry and wet assumptions can show whether a road remains typical or moves toward the upper tail.

Tail Interpretation

P95 and P99 Markers

Upper-tail thresholds help identify sampled roads that are unusually high within the current comparison set.

Distribution Spread

Stable and Sensitive Networks

A wider distribution can mean the sampled roads respond very differently to the same scenario assumptions.

Graph Limitations

Sample Size and Context Warnings

Sampling boundary

Percentiles depend on the selected map area, sampled road mix, radius/query settings, and available public data.

Scenario boundary

Changing weather, driver, speed, or vehicle assumptions changes the comparison set and selected-road interpretation.

Relative meaning

A high percentile means high relative output within the sampled model context, not proven real-world danger.

Live Application

Sample a Road Network in the Live Application

Open Distribution Insights after selecting a road to compare the selected segment with sampled surrounding roads.