Calibration and Validation of land surface temperature for Landsat8TIRS sensor

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Calibration and Validation of land surface temperature for Landsat8TIRS sensor D. Skoković1, J.A. Sobrino1, J.C. Jiménez-Muñoz1, G. Sòria1, Y. Julien1, C. Mattar2 and Jordi Cristóbal3 1 Global Change Unit, IPL-University of Valencia (Spain) [drazen.skokovic@uv.es] 2 Laboratory for Analysis of the Biosphere, University of Chile (Chile) 3 Geophysical Institute, University of Alaska (USA)

INTRODUCTION TIRS LANDSAT-8 CHARACTERISTICS ALGORITHMS: NDVI Thresholds Method Radiative Transfer Equation GAPRI database Single-Channel () Split-Window () Test from independent simulated data STUDY AREA AND DATA RESULTS Vicarious calibration Intercomparison of algorithms CONCLUSIONS 2

INTRODUCTION Landsat-8 satellite was launched in February-2013 ensuring the continuity of remote sensing data at high spatial resolution in the Landsat Data Continuity Mission, LDCM. Landsat-8 carries two sensors: Operational Land Imager (OLI) - Spatial resolution of 30 m - 8 bands in the Visible and Near-Infrared (VNIR) and in the ShortWave Infrared (IR) regions. Thermal Infrared (TIR) - Spatial resolution of 100 m - 2 bands located in the atmospheric window between 10-12 μm Thermal imaging was initially excluded from the LDCM requirements. The increase of applications using Landsat5 TM or Landsat7 ETM+ thermal data in recent years was a key factor to finally include a TIR sensor as a part of LDCM. In particular, Land Surface Temperature (LST) is a key variable to be 3

IRS LANDSAT8 CHARACTERISTICS Platform Sensor Band BW (µm) λeff (µm) GSD (m) Landsat4 Landsat5 Landsat7 Landsat8 Landsat8 TM TM ETM+ TIRS TIRS 6 6 6 1 2 10.4-12.5 10.4-12.5 10-12.5 10.3-11.3 11.5-12.5 11.154 11.457 169 10.904 12.003 120 120 60 100 100 Lower spatial resolution than ETM+ thermal band. 1.0 L4/ TM B6 L5/ TM B6 L7/ ETM+ B6 L8/ TIRSB1 L8/ TIRSB2 0.9 0.8 The Noise Equivalent Delta Temperature (NEΔT) is similar to the NEΔT of the previous TM sensors (0.4 K). 0.6 0.5 0.4 0.3 0.2 i(m u F n o s lr tra c e p S ) d z First in the Landsat series that incorporate two TIR bands in the atmospheric window between 10-12 µm. 0.7 0.1 0.0 9 10 11 12 Wavelength (µm) 13 14

ALGORITHMS For retrieving Land Surface Emissivity (LSE): NDVI Thresholds Method (NDVI-THM) Sobrino et al. (2008) For retrieving Land Surface Temperature (LST): Radiative Transfer Equation (RTE) Single-Channel () algorithm Jiménez-Muñoz et al. (2009) Split-Window () algorithm Mathematical structure proposed by Sobrino et al. (1996) Applied to different Earth Observation sensors in Jiménez-Muñoz and Sobrino (2008) Global Atmospheric Profiles from Reanalysis Information (GAPRI) database Mattar et al. (2014) 5

ALGORITHMS NDVI Thresholds Method LSE is estimated from information collected by OLI in VNIR bands (reflectances or vegetation indices) depending on the Fractional Vegetation Cover (FVC) for a given pixel. Sobrino et al. (2008) Land Cover Band FVC=0 TIRS-1 TIRS-2 Expression 0.979-0.046rOLI,B4 0.982-0.027rOLI,B4 TIRS-1 TIRS-2 TIRS-1 TIRS-2 TIRS-1 TIRS-2 0.971(1-FVC)+0.987FVC 0.977(1-FVC)+0.989FVC 0.991 0.986 0.986 0.959 6 0<FVC 1 Water Snow/Ice

ALGORITHMS Radiative Transfer Equation (RTE) With the thermal radiance measured at-sensor level and the atmospheric parameters obtained with radiosounding, a LST can be retrieved. Applying the inverse of the Planck s law 7

ALGORITHMS Single-Channel () algorithm 1 Ts = γ ( ψ 1 Lsen + ψ 2 ) + ψ 3 + δ ε 2 Tsen γ bγ Lsen Can be applied to any of the two TIRS bands. (Preferably to TIRS 1) Only requires the knowledge of w. Jiménez-Muñoz et al. (2009) 2 Tsen δ Tsen bγ ψ 1 c11 c12 ψ = c 2 21 c22 ψ 3 c31 c32 c13 w2 c23 w c33 1 8

ALGORITHMS Split-Window () algorithm The basis of the technique is that the radiance attenuation for atmospheric absorption is proportional to the radiance difference of simultaneous measurements at two different wavelengths. Sobrino et al. (1996) Emissivity's extracted from ASTER spectral library ε = 0.5 (εi + εj) ε = (εi - εj) The Split-Window technique uses two TIR bands typically located in the atmospheric window between 10 and 12 μm ALGORITHM SENSITIVITY ANALYSIS Similar to the algorithm, the algorithm only requires the δalg 0.6 knowledge of w. δneδt 1.5 (0.4) e(lst) = 2.1 (1.5) δε 0.6 9 δw 0.1

ALGORITHMS GAPRI database Global Atmospheric Profiles from Reanalysis Information (GAPRI) Mattar, C., Durán-Alarcón, C., Jiménez-Muñoz, J. C., & Sobrino, J. A. (2013). Global Atmospheric Profiles derived from Reanalysis Information (GAPRI). IEEE Transactions on Geoscience and Remote Sensing (submitted). and coefficients retrieved from statistical fits performed over a simulated GAPRI database. ERA-interim data set 0.75 x 0.75 spatial grid 29 mandatory levels MODTRAN format 4,838 atmospheric profiles Tropical, mid-latitude, sub-artic and artic weather conditions 10

ALGORITHMS Test from independent simulated data Testing from independent simulated data: Atmospheric profiles databases 108 emissivity spectra (ASTER Database Algorithm W n data Bias library) range (g cm-2) TIGR61 TIGR1761 TIGR2311 STD66 32940 32940 17820 15120 950940 950940 886680 58860 249588 249588 186732 54216 35640 35640 28080 7020-0.1-2.7 - -4.5 0.0-1.1-0.8-4.0 0.4-2.2-1.0-4.5-0.2-2.1 - -4.7 Thermodynamic Initial Guess Retrieval (TIGRs) STanDard atmospheres in MODTRAN St. Dev. RMSE r (STD) 3.0 1.5 3.2 0.6 1.7 0.9 3.5 1.0 3.7 1.1 4.6 0.9 2.6 2.3 4.0 1.9 5.6 0.6 2.0 5.4 1.1 4.3 1.5 6.5 0.9 3.3 1.7 5.4 0.997 0.982 0.996 0.954 0.999 0.996 0.999 0.957 0.999 0.981 0.998 0.936 0.998 0.989 0.997 0.961 The sub index refers to the number of atmospheric profiles included in each database 11

ALGORITHMS Testing from independent simulated data Testing from independent simulated data TIGRs and STD databases 108 emissivity spectra (ASTER Database Algorithm W n data Bias library) range St. Dev. RMSE r 3.0 1.5 3.2 0.6 1.7 0.9 3.5 1.0 3.7 1.1 4.6 0.9 2.6 2.3 4.0 1.9 5.6 0.6 2.0 5.4 1.1 4.3 1.5 6.5 0.9 3.3 1.7 5.4 0.997 0.982 0.996 0.954 0.999 0.996 0.999 0.957 0.999 0.981 0.998 0.936 0.998 0.989 0.997 0.961 (g cm-2) TIGR61 TIGR1761 TIGR2311 STD66 32940 32940 17820 15120 950940 950940 886680 58860 249588 249588 186732 54216 35640 35640 28080 7020-0.1-2.7 - -4.5 0.0-1.1-0.8-4.0 0.4-2.2-1.0-4.5-0.2-2.1 - -4.7 RMSEs are around 1 K, with a zero bias 12

ALGORITHMS Testing from independent simulated data Testing from independent simulated data TIGRs and STD databases 108 emissivity spectra (ASTER Database Algorithm W n data Bias St. Dev. library) range RMSE r 4.0 1.9 5.6 0.6 2.0 5.4 1.1 4.3 1.5 6.5 0.9 3.3 1.7 5.4 0.997 0.982 0.996 0.954 0.999 0.996 0.999 0.957 0.999 0.981 0.998 0.936 0.998 0.989 0.997 0.961 (g cm-2) TIGR61 TIGR1761 TIGR2311 STD66 32940 32940 17820 15120 950940 950940 886680 58860 249588 249588 186732 54216 35640 35640 28080 7020-0.1-2.7 - -4.5 0.0-1.1-0.8-4.0 0.4-2.2-1.0-4.5-0.2-2.1 - -4.7 3.0 1.5 3.2 0.6 1.7 0.9 3.5 1.0 3.7 1.1 4.6 0.9 2.6 2.3 algorithm fails for moderate to high w values RMSE 3-4 K 13

ALGORITHMS Testing from independent simulated data Testing from independent simulated data TIGRs and STD databases 108 emissivity spectra (ASTER Database Algorithm W n data Bias St. Dev. library) range RMSE r 4.0 1.9 5.6 0.6 2.0 5.4 1.1 4.3 1.5 6.5 0.9 3.3 1.7 5.4 0.997 0.982 0.996 0.954 0.999 0.996 0.999 0.957 0.999 0.981 0.998 0.936 0.998 0.989 0.997 0.961 (g cm-2) TIGR61 TIGR1761 TIGR2311 STD66 32940 32940 17820 15120 950940 950940 886680 58860 249588 249588 186732 54216 35640 35640 28080 7020-0.1-2.7 - -4.5 0.0-1.1-0.8-4.0 0.4-2.2-1.0-4.5-0.2-2.1 - -4.7 3.0 1.5 3.2 0.6 1.7 0.9 3.5 1.0 3.7 1.1 4.6 0.9 2.6 2.3 algorithm fails for moderate to high w values When Atmospheric profiles with w values lower than 3 g cm-2 are selected, the algorithm provides RMSEs around 1.5 K 14

STUDY AREA AND DATA Test sites (39 N, 2 W, 700m at sea level) (37 N, 6.4 W, at sea level) 15

STUDY AREA AND DATA Test sites (39 N, 2 W, 700m at sea level) Wheat (37 N, 6.4 W, at sea level) Marsh land Bare soil 16

STUDY AREA AND DATA Instruments RADIOMETER IR120 OPTRIS CT-LT15 CIMEL CE312-1 & 2 IR120 & OPTRIS Single broadband (8-14 µm) radiometers CIMEL CE3122 Multiband radiometer One broadband (8-14 mm) Five narrowbands similar to the ASTER TIR bands 17

STUDY AREA AND DATA Landsat data 18

RESULTS Vicarious calibration Significant bias (around 3 K) between Landsat-8 derived data and measured values of LST. Result later confirmed by the announcement published in the USGS Landsat mission web page on September 16, 2013. 2 points for calibration (extreme data points, the lowest and highest radiance) 19

RESULTS Intercomparison of algorithms Results for the algorithms described above for ground-based measurements LSTsitu LSTRTE Calibration Points 291.8 304.7 Validation Points LST LST DRTE D D - - - - - 292.3 291.4 292.4-0.5-1.4-0.3 303.8 303.3 302.3 303.7-0.4-1.5-0.1 Corn 295.1 296.1 295.5 295.9 1.0 0.4 0.8 1.8 Soil 301.1 301.0 300.0 300.8-0.1-1.0-0.3 12/09 1.8 Soil 302.6 301.8 301.6 301.6-0.8-1.0-1.0 19/04 2.0 Marsh 297.6 296.4 298.0 295.1-0.4-2.5 05/05 1.7 Marsh 297.6 298.1 297.8 297.6 0.5 0.2 0.0 Bias -0.2-0.6-0.5 SD 0.8 0.8 1.0 RMSE 0.8 1.0 Site Date W (g/cm2) Plot Barrax Doñana 23/05 22/06 1.1 3.2 Wheat Marsh 01/06 1.0 Wheat 292.8 24/06 1.4 Wheat 12/09 1.8 12/09 Barrax Doñana

RESULTS Intercomparison of algorithms Similar results provided by all the LST methods: LSTsitu Calibration Points 291.8 304.7 Validation Points Site Date W (g/cm2) Plot Barrax Doñana 23/05 22/06 1.1 3.2 Wheat Marsh 01/06 1.0 Wheat 292.8 24/06 1.4 Wheat 12/09 1.8 12/09 Barrax Doñana Low and negative BIAS (0.6 K) Standard deviation around LSTRTE 1 K LST LST DRTE RMSE lower than 1.5 K D D - - - - - 292.3 291.4 292.4-0.5-1.4-0.3 303.8 303.3 302.3 303.7-0.4-1.5-0.1 Corn 295.1 296.1 295.5 295.9 1.0 0.4 0.8 1.8 Soil 301.1 301.0 300.0 300.8-0.1-1.0-0.3 12/09 1.8 Soil 302.6 301.8 301.6 301.6-0.8-1.0-1.0 19/04 2.0 Marsh 297.6 296.4 298.0 295.1-0.4-2.5 05/05 1.7 Marsh 297.6 298.1 297.8 297.6 0.5 0.2 0.0 Bias -0.2-0.6-0.5 SD 0.8 0.8 1.0 RMSE 0.8 1.0

RESULTS Bare soil Intercomparison of algorithms Two images are selected Barrax (23 May 2013) Doñana (22 June 2013) Direct inversion of the RTE is assumed to be a ground-truth reference. Green cover marshland Differences between the LST retrieved from and algorithms and LST retrieved from inversion of the RTE where analyzed. Dry soil and dune area Green/irrigated crops

RESULTS Intercomparison of algorithms BARRAX TEST SITE Similar bias for both algorithms Great standard deviation in algorithm DRTE- DRTE- 23

RESULTS Intercomparison of algorithms DOÑANA TEST SITE Greater BIAS in algorithm Great standard deviation in algorithm DRTE- DRTE- 24

RESULTS Intercomparison of algorithms RMSE are lower over Barrax <0.5 K than over Doñana, and in all cases below <1.3 K. Differences in RMSE could be explained by the different W values over the two sites, < 1 g cm-2 for Barrax and near 3.5 g cm-2 for Doñana. RT E Difference between temperatures at bands TIRS1 and TIRS-2 also indicated a kind of missregistration problem between the two TIR bands that can be observed in the image difference between and inversion of the RTE. RTE- 25

Conclusions 26

Acknowledgements Instituto Técnico Agronómico Provincial (ITAP) Reserva Biológica de Doñana (RBD) NASA and the U.S. Geological Survey (USGS) Ministerio de Economía y Competitividad: CEOS-Spain, project AYA2011-29334-C02-01) Program U-INICIA VID 2012 (grant U-INICIA 4/0612) from University of Chile 27