A repository of custom scripts that can be used with Sentinel-Hub services.

Normalized difference vegetation index with uncertainty

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Basic information

General description

This script allows you to visually interpret how the normalized density vegetation index (NDVI) [1] is affected by the uncertainties in detector reflectances of the L1C products.

Since NDVI is defined as a ratio of difference over sum of bands 8 and 4 (near infrared and red):

the uncertainty propagation [3] gives us the uncertainty of the index itself as


where $\Delta_{B4}$ and $\Delta_{B8}$ are uncertainties of red and near infrared bands respectively (reported by ESA to be 0.02 and 0.03). We left out the mixed part $\Delta_{B4B8}$ as if the two uncertainties were not correlated.

The script encodes the uncertainty with darkness, as can be seen in following figure [2]
Color map of the NDVI uncertainty script from [2][1]


[1] Wikipedia, Normalized Difference Vegetation Index . Accessed on October 4th 2017.
[2] Sentinel-Hub, Ad hoc testing of algorithms globally. Accessed October 10th 2017.
[3] Wikipedia, Propagation of uncertainty. Accessed October 10th 2017.