Brightness Index
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
Sensor-Specific Formulas
Most-used sensors — click to show code below
| Sensor | Provider | Formula | Band Mapping |
|---|---|---|---|
| 21AT | sqrt((Red^2 + Green^2) / 2) | GREEN→Green, RED→Red | |
| CG Satellite | sqrt((Red^2 + Green^2) / 2) | GREEN→Green, RED→Red | |
| USGS/NASA | sqrt((B4^2 + B3^2) / 2) | GREEN→B3, RED→B4 | |
| USDA | sqrt((Red^2 + Green^2) / 2) | GREEN→Green, RED→Red | |
| ESA | sqrt((B4^2 + B3^2) / 2) | GREEN→B3, RED→B4 | |
| MAXAR | sqrt((Red^2 + Green^2) / 2) | GREEN→Green, RED→Red | |
| MAXAR | sqrt((Red^2 + Green^2) / 2) | GREEN→Green, RED→Red |
Spectral Band Visualization — BJ3A
Code Examples
Adapted for BJ3A bands —
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
| Index | Name | How it differs |
|---|---|---|
| BI2 | Second Brightness Index | Alternative soil index — different band combination |
| CI | Coloration Index | Alternative soil index — different band combination |
| NSDS | Normalized Shortwave Infrared Difference Soil-Moisture | Alternative soil index — different band combination |
| NSDSI1 | Normalized Shortwave-Infrared Difference Bare Soil Moisture Index 1 | Alternative soil index — different band combination |
Related Soil Indices
References
Need help choosing?
Ask our AI assistant for sensor recommendations, code examples, or how BI compares to other indices for your specific use case.