.. _tsa-indices: Indices ======= Following indices / bands are available in the TSA submodule: +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + Index + Name + Formula + Reference + +===========+============================================+==========================================================================================+==========================+ + BLUE + see :ref:`Sensor Bands ` + +-----------+ + + GREEN + + +-----------+ + + RED + + +-----------+ + + RE1 + + +-----------+ + + RE2 + + +-----------+ + + RE3 + + +-----------+ + + BNIR + + +-----------+ + + NIR + + +-----------+ + + SWIR1 + + +-----------+ + + SWIR2 + + +-----------+ + + VV + + +-----------+ + + VH + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVI + Normalized Difference Vegetation Index + (NIR - RED) / (NIR + RED) + Tucker 1979 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + EVI + Enhanced Vegetation Index + G * ((NIR - RED) / (NIR + C1 * RED – C2 * BLUE + L)) + Huete et al. 2002 + + + + with G = 2.5, L = 1, C1 = 6, C2 = 7.5 + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NBR + Normalized Burn Ratio + (NIR - SWIR2) / (NIR + SWIR2) + Key & Benson 2005 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDTI + Normalized Difference Tillage Index + (SWIR1 - SWIR2) / (SWIR1 + SWIR2) + Van Deventer et al. 1997 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + ARVI + Atmospherically Resistant Vegetation Index + (NIR - RB) / (NIR + RB) + Kaufman & Tanré 1992 + + + + with RB = RED - (BLUE - RED) + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + SAVI + Soil Adjusted Vegetation Index + (NIR - RED) / (NIR + RED + L) * (1 + L) + Huete 1988 + + + + with L = 0.5 + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + SARVI + Soil adj. and Atm. Resistant Veg. Index + (NIR - RB) / (NIR + RB + L) * (1 + L) + Kaufman & Tanré 1992 + + + + with RB = RED - (BLUE - RED) + + + + + with L = 0.5 + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + TC-BRIGHT + Tasseled Cap Brightness + 0.2043*BLUE + 0.4158*GREEN + 0.5524*RED + 0.5741*NIR + 0.3124*SWIR1 + 0.2303*SWIR2 + Crist 1985 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + TC-GREEN + Tasseled Cap Greeness + -0.1603*BLUE - 0.2819*GREEN - 0.4934*RED + 0.7940*NIR - 0.0002*SWIR1 - 0.1446*SWIR2 + Crist 1985 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + TC-WET + Tasseled Cap Wetness + 0.0315*BLUE + 0.2021*GREEN + 0.3102*RED + 0.1594*NIR - 0.6806*SWIR1 - 0.6109*SWIR2 + Crist 1985 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + TC-DI + Tasseled Cap Disturbance Index + TC-BRIGHT - (TC-GREEN + TC-WET) + Healey et al. 1995 + + + + no rescaling applied (as opposed to Healey et al. 1995) + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDBI + Normalized Difference Built-Up Index + (SWIR1 - NIR) / (SWIR1 + NIR) + Zha et al. 2003 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDWI + Normalized Difference Water Index + (GREEN - NIR) / (GREEN + NIR) + McFeeters 1996 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + MNDWI + Modified Normalized Difference Water Index + (GREEN - SWIR1) / (GREEN + SWIR1) + Xu, H. 2006 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDMI + Normalized Difference Moisture Index + (NIR - SWIR1) / (NIR + SWIR1) + Gao 1996 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDSI + Normalized Difference Snow Index + (GREEN - SWIR1) / (GREEN + SWIR1) + Hall et al. 1995 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + SMA + Spectral Mixture Analysis + BOA = F * endmember + E + Smith et al. 1990 + + + + Fraction F is retrieved using least-squares optimization + + + + + from a couple of endmembers and BOA reflectance, E is model error + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + kNDVI + Kernel NDVI + (1 - k) / (1 + k) + Camps-Valls et al. 2021 + + + + with k = exp( -(NIR - RED)^2 / (2 * sigma^2) ) + + + + + with sigma = 0.5 * (NIR + RED) + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDRE1 + Normalized Difference Red Edge Index 1 + (REDEDGE2 - REDEDGE1) / (REDEDGE2 + REDEDGE1) + Gitelson & Merzlyak 1994 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDRE2 + Normalized Difference Red Edge Index 2 + (REDEDGE3 - REDEDGE1) / (REDEDGE3 + REDEDGE1) + Barnes et al. 2000 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + CIre + Chlorophyll Index red-edge + (REDEDGE3 / REDEDGE1) - 1 + Gitelson et al. 2003 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre1 + Normalized Difference Vegetation Index + (BNIR - REDEDGE1) / (BNIR + REDEDGE1) + Gitelson & Merzlyak 1994 + + + red edge 1 + + + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre2 + Normalized Difference Vegetation Index + (BNIR - REDEDGE2) / (BNIR + REDEDGE2) + Fernandez-Manso et al. + + + red edge 2 + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre3 + Normalized Difference Vegetation Index + (BNIR - REDEDGE3) / (BNIR + REDEDGE3) + Fernandez-Manso et al. + + + red edge 3 + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre1n + Normalized Difference Vegetation Index + (NIR - REDEDGE1) / (NIR + REDEDGE1) + Fernandez-Manso et al. + + + red edge 1 narrow + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre2n + Normalized Difference Vegetation Index + (NIR - REDEDGE2) / (NIR + REDEDGE2) + Fernandez-Manso et al. + + + red edge 2 narrow + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + NDVIre3n + Normalized Difference Vegetation Index + (NIR - REDEDGE3) / (NIR + REDEDGE3) + Fernandez-Manso et al. + + + red edge 3 narrow + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + MSRre + Modified Simple Ratio red edge + ((BNIR / REDEDGE1) - 1) / sqrt((BNIR / REDEDGE1) + 1) + Chen 1996 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + MSRren + Modified Simple Ratio red edge narrow + ((NIR / REDEDGE1) - 1) / sqrt((NIR / REDEDGE1) + 1) + Fernandez-Manso et al. + + + + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+ + CCI + chlorophyll/carotenoid index + (GREEN - RED) / (GREEN +RED) + Gamon et al. + + + + + 2016 + +-----------+--------------------------------------------+------------------------------------------------------------------------------------------+--------------------------+