A vegetation stress index using the ratio of red edge (710nm) to NIR (760nm) reflectance. This index is particularly sensitive to changes in chlorophyll content and plant stress.

Used in crop monitoring.

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 monitoring
  • Chlorophyll-related stress detection

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 Ctr4
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

re1 710
nir 760

Sensor-Specific Formulas

Most-used sensors — click to show code below

SensorProviderFormulaBand Mapping
WyvernBand 17 / Band 21re1→Band 17, nir→Band 21
ESAB5 / B6re1→B5, nir→B6
MAXARRed Edge / NIR1re1→Red Edge, nir→NIR1
MAXARRed_Edge / NIR1re1→Red_Edge, nir→NIR1

Spectral Band Visualization — Dragonette-1

Code Examples

Adapted for Dragonette-1 bands —

ctr4_dragonette-001.py

Frequently Asked Questions

What is the Ctr4 (Carter Stress Index 4) and when should I use it?

A vegetation stress index using the ratio of red edge (710nm) to NIR (760nm) reflectance. This index is particularly sensitive to changes in chlorophyll content and plant stress. 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. Ctr4 is particularly suited for plant stress monitoring, chlorophyll-related stress detection, vegetation health assessment. The general formula is re1 / nir, which requires re1 and nir spectral bands.

Which satellite sensors can I use to calculate Ctr4?

Ctr4 is supported by 15 satellite sensors in our database, including Dragonette-1, Dragonette-2/3, Gaofen-1, Gaofen-2, GeoEye-1 and 10 more. Each sensor uses different band designations — for example, Dragonette-1 uses the formula Band 17 / Band 21, while Dragonette-2/3 uses Band21 / Band25. Select a sensor above to see its specific band mapping.

What spectral bands does Ctr4 require and why?

Ctr4 requires re1 (710), nir (760). 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 Ctr4 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 Ctr4 compare to NDVI and other vegetation indices?

While NDVI is the most common vegetation index, Ctr4 provides complementary information that NDVI cannot capture on its own. The choice of index depends on your application, sensor availability, and atmospheric conditions.

Ctr4 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 (1994). Ratios of leaf reflectances in narrow wavebands as indicators of plant stress.
le Maire et al. (2004). Towards universal broad leaf chlorophyll indices using PROSPECT simulated database and hyperspectral reflectance measurements.
Main et al. (2011). An investigation into robust spectral indices for leaf chlorophyll estimation.

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