Carter1 (Ctr1) is one of the most effective plant stress indices developed by Gregory A. Carter. It uses the ratio of reflectance at 695nm (red-edge) to 420nm (blue) to detect various types of plant stress. This ratio was found to be significantly greater in stressed compared to non-stressed leaves for all stress agents tested.

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
  • plant stress detection
  • early stress warning

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

-1 Water / Snow
-0.1 Bare ground / Built-up
0.1 Sparse / Stressed
0.3 Moderate vegetation
0.5 Healthy vegetation
0.7 Dense canopy
Surface typeTypical Ctr1
Open water, snow-0.3 to -0.1
Bare soil, urban-0.1 to 0.2
Sparse or stressed crops0.2 to 0.4
Healthy crops, grassland0.4 to 0.7
Dense forest, peak season0.7 to 0.9

General Formula

420 420
695 695

Sensor-Specific Formulas

Most-used sensors — click to show code below

SensorProviderFormulaBand Mapping
MAXARRed_Edge / Coastal420→Coastal, 695→Red_Edge
MAXARRed Edge / Coastal420→Coastal, 695→Red Edge
MAXARRed_Edge / Coastal420→Coastal, 695→Red_Edge

Spectral Band Visualization — WorldView 2

Code Examples

Adapted for WorldView 2 bands —

carter1_worldview-2.py

Frequently Asked Questions

What is the Ctr1 (Simple Ratio 695/420 Carter1) and when should I use it?

Carter1 (Ctr1) is one of the most effective plant stress indices developed by Gregory A. Carter. It uses the ratio of reflectance at 695nm (red-edge) to 420nm (blue) to detect various types of plant stress. This ratio was found to be significantly greater in stressed compared to non-stressed leaves for all stress agents tested. 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. Ctr1 is particularly suited for plant stress detection, early stress warning, water stress assessment. The general formula is 695nm / 420nm, which requires 420 and 695 spectral bands.

Which satellite sensors can I use to calculate Ctr1?

Ctr1 is supported by 3 satellite sensors in our database, including WorldView 2, WorldView 3, WorldView Legion. Each sensor uses different band designations — for example, WorldView 2 uses the formula Red_Edge / Coastal, while WorldView 3 uses Red Edge / Coastal. Select a sensor above to see its specific band mapping.

What spectral bands does Ctr1 require and why?

Ctr1 requires 420 (420), 695 (695). 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 Ctr1 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 Ctr1 compare to NDVI and other vegetation indices?

While NDVI is the most common vegetation index, Ctr1 provides complementary information that NDVI cannot capture on its own. The choice of index depends on your application, sensor availability, and atmospheric conditions.

Ctr1 vs other vegetation indices

IndexNameHow it differs
ARIAnthocyanin Reflectance IndexAlternative vegetation index — different band combination
mARIModified Anthocyanin Reflectance IndexRefined formulation for specific conditions
ARVIAtmospherically Resistant Vegetation IndexAtmospherically corrected version
ARVI2Atmospherically Resistant Vegetation Index 2Atmospherically corrected version

Related Vegetation Indices

References

Carter, G.A. (1994) - Ratios of leaf reflectances in narrow wavebands as indicators of plant stress. International Journal of Remote Sensing, 15(3), 697-703

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