The Brightness Index (BI) is a remote sensing index used to assess soil brightness, which is highly correlated with soil moisture, salt content, and organic matter. Developed by Mathieu and Escadafal, it provides valuable information about soil properties and fertility. As brightness increases, soil fertility typically decreases.

Used in crop monitoring.

When to use

  • Soil mapping in agricultural and arid environments
  • Salinity monitoring in irrigated areas
  • Erosion hazard assessment on bare ground
  • Organic matter and fertility surveys
  • Soil moisture inference (combined with other indices)
  • soil brightness assessment
  • soil moisture detection

Limitations

  • Vegetation cover blocks the soil signal — most reliable on bare or sparse ground
  • Surface roughness and tilling state affect reflectance
  • Soil moisture varies daily and biases brightness measurements
  • Cannot directly measure subsurface properties
  • Mineral composition variability affects index calibration across regions

General Formula

GREEN 560
RED 665

Sensor-Specific Formulas

Most-used sensors — click to show code below

SensorProviderFormulaBand Mapping
21ATsqrt((Red^2 + Green^2) / 2)GREEN→Green, RED→Red
CG Satellitesqrt((Red^2 + Green^2) / 2)GREEN→Green, RED→Red
USGS/NASAsqrt((B4^2 + B3^2) / 2)GREEN→B3, RED→B4
USDAsqrt((Red^2 + Green^2) / 2)GREEN→Green, RED→Red
ESAsqrt((B4^2 + B3^2) / 2)GREEN→B3, RED→B4
MAXARsqrt((Red^2 + Green^2) / 2)GREEN→Green, RED→Red
MAXARsqrt((Red^2 + Green^2) / 2)GREEN→Green, RED→Red

Spectral Band Visualization — BJ3A

Code Examples

Adapted for BJ3A bands —

bi_bj3a.py

Frequently Asked Questions

What is the BI (Brightness Index) and when should I use it?

The Brightness Index (BI) is a remote sensing index used to assess soil brightness, which is highly correlated with soil moisture, salt content, and organic matter. Developed by Mathieu and Escadafal, it provides valuable information about soil properties and fertility. As brightness increases, soil fertility typically decreases. Soil indices characterise surface properties including brightness, moisture content, organic matter, and salinity. They work best on bare or sparsely vegetated ground where the soil spectral signal is not obscured. BI is particularly suited for soil brightness assessment, soil moisture detection, salt content evaluation. The general formula is sqrt((RED^2 + GREEN^2) / 2), which requires GREEN and RED spectral bands.

Which satellite sensors can I use to calculate BI?

BI is supported by 23 satellite sensors in our database, including BJ3A, BJ3N, Dragonette-1, Dragonette-2/3, Gaofen-1 and 18 more. Each sensor uses different band designations — for example, BJ3A uses the formula sqrt((Red^2 + Green^2) / 2), while BJ3N uses sqrt((Red^2 + Green^2) / 2). Select a sensor above to see its specific band mapping.

What spectral bands does BI require and why?

BI requires GREEN (560), RED (665). These wavelength regions target the specific spectral features that this index is designed to measure.

How do I calculate BI in Python or R?

Both Python and R code samples are provided above. In Python, use rasterio to load individual band GeoTIFF files and numpy for the arithmetic. In R, the terra package handles raster operations efficiently. The key is to load bands as floating-point arrays to avoid integer division, and to handle division-by-zero cases where the denominator equals zero. For production use, consider applying a valid data mask to exclude no-data pixels before calculation.

BI vs other soil indices

IndexNameHow it differs
BI2Second Brightness IndexAlternative soil index — different band combination
CIColoration IndexAlternative soil index — different band combination
NSDSNormalized Shortwave Infrared Difference Soil-MoistureAlternative soil index — different band combination
NSDSI1Normalized Shortwave-Infrared Difference Bare Soil Moisture Index 1Alternative soil index — different band combination

Related Soil Indices

References

Escadafal, R. (1989) - Remote sensing of arid soil surface color with Landsat thematic mapper. Advances in Space Research, 159–163
Mathieu, R., Pouget, M., Cervelle, B., and Escadafal, R. (1998) - Relationships between satellite-based radiometric indices simulated using laboratory reflectance data and typic soil color of an arid environment

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