geoprimsField-grade geospatial math

NBR

The normalized burn ratio from near-infrared and the longer shortwave-infrared band, the index burn severity is measured with.

Experimental: not yet fully verified. How results are checked

0.6098

NBR is 0.6098.

Provenance
Computed by
raster.index.nbr 1.0.0, core 0.1.0
Model
NBR = (NIR - SWIR2) / (NIR + SWIR2) on surface reflectance (Key and Benson 2006)
Accuracy
Exact arithmetic on the reflectance given.
Notes
1 shown with the answer
Cites
Key, C. H., and Benson, N. C., USDA Forest Service, Rocky Mountain Research Station, Landscape Assessment (LA): sampling and analysis methods, in FIREMON: Fire Effects Monitoring and Inventory System

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How we got thisFormula, worked example, sources, and proof

Model: NBR = (NIR - SWIR2) / (NIR + SWIR2) on surface reflectance (Key and Benson 2006)

Accuracy: Exact arithmetic on the reflectance given.

When to use this: Use this on a scene before or after a fire: healthy vegetation reflects near-infrared and absorbs the longer shortwave band, while recently burned ground does the opposite, so NBR falls sharply where a fire has passed. One NBR is a state; the difference between two is what measures severity.

Limitations: A single NBR is not a severity: it reads low over water, rock, and bare ground that never burned. Severity comes from dNBR, the pre-fire value minus the post-fire one, and even that needs a pre-fire image of the same season to compare against.

Worked example: NBR. Source: Key and Benson 2006: NIR 0.33 and SWIR2 0.08 give 0.6098. It is golden test vector v005, and every build checks the tool still gives its answer within its tolerance.

You enter

Near-infrared reflectance
0.33
Shortwave-infrared reflectance
0.08

You get

NBR
0.6098

Review: Not yet independently reviewed by a GIS professional.

Last verified: 2026-09-22, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.

Status: version 1.0.0, core 0.1.0. See this tool in the verification report.

Checked against: 10 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.

Sources

Terms

NBR: normalized burn ratio
The difference between near-infrared and the longer shortwave-infrared band over their sum. It falls sharply over recently burned ground. Source: Landscape Assessment (LA): sampling and analysis methods, in FIREMON: Fire Effects Monitoring and Inventory System

Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.