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STUDY OF NDVI, LAND SURFACE TEMPERATURE USING LANDSAT (TM) DATA Course: Introduction to RS & DIP Mirza Muhammad Waqar Contact: EXT:2257 RG610

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Landsat TM( )

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LMAX_BAND1 = LMIN_BAND1 = LMAX_BAND2 = LMIN_BAND2 = LMAX_BAND3 = LMIN_BAND3 = LMAX_BAND4 = LMIN_BAND4 = LMAX_BAND5 = LMIN_BAND5 = LMAX_BAND6 = LMIN_BAND6 = LMAX_BAND7 = LMIN_BAND7 = Slope= (LMAX-LMIN)/(Max Gray) Slope(B6)= ( )/(255)= Slope(B3)= ( )/(255)= Slope(B4)= ( )/(255)= Calculating Slope for Band= 3, 4 and 6

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Radiance= Slope*DN + LMIN LMAX_BAND1 = LMIN_BAND1 = LMAX_BAND2 = LMIN_BAND2 = LMAX_BAND3 = LMIN_BAND3 = LMAX_BAND4 = LMIN_BAND4 = LMAX_BAND5 = LMIN_BAND5 = LMAX_BAND6 = LMIN_BAND6 = LMAX_BAND7 = LMIN_BAND7 = R(3)= *B R(4)= *B R(6)= *B Calculating Radiance for Band= 3, 4 and 6

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Radiance for Band 6 Calculating Radiance for Band= 3, 4 and 6

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Calculating Brightness Temperature using Planck's Black Body Radiation Law T B = K2/Log{(K1/R6)+1)} Where: K1 = Calibration constant 1 ( watt/m 2 * ster * µm) K2 = Calibration constant 2 ( K)

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Surface Temperature= T B /{1+(λ *BT/ρ*logε)} T B = Brightness Temperature λ = Wavelength of emitted radiance (11.5 µm) ρ = h x c/σ =1.438 x mK ( σ=Boltzmann constant=1.38 x J/K, h=Plancks constant=6.626 x Js, c=velocity of light=2.998 x 10 8 m/s) ε = Land surface emissivity Calculating Surface Temperature

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Calculating Land surface emissivity (LSE)- ε LSE (ε) can be extracted by using NDVI considering three different cases Bare ground Fully vegetated and Mixture of bare soil and vegetation For Band 6 of Landsat TM ε = 0.004*Pv Pv is the proportion of vegetation which is given by Pv = [(NDVI-NDVI min )/(NDVI max -NDVI min )] 2

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NDVI = [Ref(B4)-Ref (B3)}/{Ref (B4)+Ref(B3)} Pv Calculating Pv

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Pv = [(NDVI-NDVI min )/(NDVI max -NDVI min )] 2

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LSE ε = 0.004*Pv Calculating ε

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Logε Calculating ε

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Surface Temperature= T B /{1+(λ *BT/ρ) *logε} λ = Wavelength of emitted radiance (11.5 µm) ρ = h x c/σ =1.438 x mK ( σ=Boltzmann constant=1.38 x J/K, h=Plancks constant=6.626 x Js, c=velocity of light=2.998 x 10 8 m/s) Calculating Surface Temperature

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Land Surface Temperature (LST)

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