Simple Ratio 550/420 Carter6
Carter6 (Ctr6) is a simple ratio vegetation stress index developed by Gregory A. Carter. It uses the ratio of reflectance at 550nm (green) to 420nm (blue) to detect plant stress. The index is based on the principle that stress factors interfere with photosynthesis and alter the reflectance spectrum, particularly in the blue and green regions.
Used in crop monitoring, and water detection.
When to use
- Time-series monitoring of crop health, growth stages, and stress detection
- Land cover classification and vegetation type discrimination
- Biomass estimation and net primary productivity studies
- Drought impact assessment over agricultural and forest areas
- Phenology tracking — green-up, peak season, and senescence
- vegetation stress detection
- plant health monitoring
Limitations
- Saturates in dense canopies (LAI > 3) — values plateau and lose discrimination ability
- Sensitive to atmospheric scattering, especially blue-band haze
- Soil background contaminates measurements in sparsely vegetated areas
- Sun-sensor geometry (BRDF effects) introduces variability across acquisitions
- Cloud cover and shadows produce invalid pixels that need masking
What the values mean
| Surface type | Typical Ctr6 |
|---|---|
| Open water, snow | -0.3 to -0.1 |
| Bare soil, urban | -0.1 to 0.2 |
| Sparse or stressed crops | 0.2 to 0.4 |
| Healthy crops, grassland | 0.4 to 0.7 |
| Dense forest, peak season | 0.7 to 0.9 |
General Formula
Sensor-Specific Formulas
Most-used sensors — click to show code below
| Sensor | Provider | Formula | Band Mapping |
|---|---|---|---|
| USDA | Green / Blue | 420→Blue, 550→Green | |
| MAXAR | Green / Coastal | 420→Coastal, 550→Green | |
| MAXAR | Green / Coastal | 420→Coastal, 550→Green |
Spectral Band Visualization — NAIP
Code Examples
Adapted for NAIP bands —
Frequently Asked Questions
What is the Ctr6 (Simple Ratio 550/420 Carter6) and when should I use it?
Carter6 (Ctr6) is a simple ratio vegetation stress index developed by Gregory A. Carter. It uses the ratio of reflectance at 550nm (green) to 420nm (blue) to detect plant stress. The index is based on the principle that stress factors interfere with photosynthesis and alter the reflectance spectrum, particularly in the blue and green regions. Vegetation indices quantify plant health, biomass, and photosynthetic activity by exploiting the contrast between how plants absorb visible light for photosynthesis and reflect near-infrared radiation from their cellular structure. Ctr6 is particularly suited for vegetation stress detection, plant health monitoring, water stress assessment. The general formula is 550nm / 420nm, which requires 420 and 550 spectral bands.
Which satellite sensors can I use to calculate Ctr6?
Ctr6 is supported by 4 satellite sensors in our database, including NAIP, WorldView 2, WorldView 3, WorldView Legion. Each sensor uses different band designations — for example, NAIP uses the formula Green / Blue, while WorldView 2 uses Green / Coastal. Select a sensor above to see its specific band mapping.
What spectral bands does Ctr6 require and why?
Ctr6 requires 420 (420), 550 (550). Vegetation strongly absorbs red light for photosynthesis while reflecting near-infrared light from its mesophyll cell structure, making this contrast a reliable indicator of plant vigour.
How do I calculate Ctr6 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.
How does Ctr6 compare to NDVI and other vegetation indices?
While NDVI is the most common vegetation index, Ctr6 provides complementary information that NDVI cannot capture on its own. The choice of index depends on your application, sensor availability, and atmospheric conditions.
Ctr6 vs other vegetation indices
| Index | Name | How it differs |
|---|---|---|
| ARI | Anthocyanin Reflectance Index | Alternative vegetation index — different band combination |
| mARI | Modified Anthocyanin Reflectance Index | Refined formulation for specific conditions |
| ARVI | Atmospherically Resistant Vegetation Index | Atmospherically corrected version |
| ARVI2 | Atmospherically Resistant Vegetation Index 2 | Atmospherically corrected version |
Related Vegetation Indices
References
Need help choosing?
Ask our AI assistant for sensor recommendations, code examples, or how Ctr6 compares to other indices for your specific use case.