A physics-based algorithm for retrieving land-surface emissivity and temperature from EOS/MODIS data

The authors have developed a physics-based land-surface temperature (LST) algorithm for simultaneously retrieving surface band-averaged emissivities and temperatures from day/night pairs of MODIS (Moderate Resolution Imaging Spectroradiometer) data in seven thermal infrared bands. The set of 14 nonlinear equations in the algorithm is solved with the statistical recession method and the least-squares fit method. This new LST algorithm was tested with simulated MODIS data for 80 sets of hand-averaged emissivities calculated from published spectral data of terrestrial materials in wide ranges of atmospheric and surface temperature conditions. Comprehensive sensitivity and error analysis has been made to evaluate the performance of the new LST algorithm and its dependence on variations in surface emissivity and temperature, upon atmospheric conditions, as well as the noise-equivalent temperature difference (NE/spl Delta/T) and calibration accuracy specifications of the MODIS Instrument. In cases with a systematic calibration error of 0.5%, the standard deviations of errors in retrieved surface daytime and nighttime temperatures fall between 0.4-0.5 K over a wide range of surface temperatures for mid-latitude summer conditions. The standard deviations of errors in retrieved emissivities in bands 31 and 32 (in the 10-12.5 /spl mu/m IR spectral window region) are 0.009, and the maximum error in retrieved LST values falls between 2-3 K.

[1]  R. L. Alt,et al.  Continuum Absorption by H2O in the 700-1200 cm(-1) and 2400-2800 cm(-1) Windows, , 1984 .

[2]  W. Menzel,et al.  Introducing GOES-I: The First of a New Generation of Geostationary Operational Environmental Satellites , 1994 .

[3]  J. Dozier,et al.  Effects Of The Atmosphere And Surface Emissivity On The Thermal Infrared Spectral Signature Measured From Modis-n , 1990, 10th Annual International Symposium on Geoscience and Remote Sensing.

[4]  W. Wiscombe,et al.  Exponential-sum fitting of radiative transmission functions , 1977 .

[5]  John W. Salisbury,et al.  Emissivity of terrestrial materials in the 8-14 microns atmospheric window , 1992 .

[6]  Knut Stamnes,et al.  A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres , 1984 .

[7]  F. X. Kneizys,et al.  Atmospheric transmittance/radiance: Computer code LOWTRAN 5 , 1978 .

[8]  W B Grant,et al.  Water vapor absorption coefficients in the 8-13-microm spectral region: a critical review. , 1990, Applied optics.

[9]  Karen S. Baker,et al.  Ozone depletion in Antarctica: Modeling its effect on solar UV irradiance under clear-sky conditions , 1992 .

[10]  Prasad Varanasi,et al.  On the nature of the infrared spectrum of water vapor between 8 and 14 μm. , 1988 .

[11]  A. Lacis,et al.  A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres , 1991 .

[12]  F. Becker,et al.  The impact of spectral emissivity on the measurement of land surface temperature from a satellite , 1987 .

[13]  J. Soha,et al.  Middle infrared multispectral aircraft scanner data: analysis for geological applications. , 1980, Applied optics.

[14]  R. Isaacs,et al.  Multiple scattering LOWTRAN and FASCODE models. , 1987, Applied optics.

[15]  L. C. Helmle,et al.  The Delta-Four-Stream Approximation for Radiative Flux Transfer , 1982 .

[16]  William C. Snyder,et al.  Thermal Infrared (3–14 μm) bidirectional reflectance measurements of sands and soils , 1997 .

[17]  C. Prabhakara,et al.  Estimation of sea surface temperature from remote sensing in the 11‐ to 13‐μm window region , 1974 .

[18]  C. Ottlé,et al.  Effect of atmospheric absorption and surface emissivity on the determination of land surface temperature from infrared satellite data , 1993 .

[19]  A. Kahle.  Surface emittance, temperature, and thermal inertia derived from Thermal Infrared Multispectral Scanner (TIMS) data for Death Valley, California , 1987 .

[20]  George W. Kattawar,et al.  Radiative transfer in spherical shell atmospheres: I. Rayleigh scattering , 1978 .

[21]  Alfred J Prata,et al.  Land surface temperatures derived from the advanced very high resolution radiometer and the along‐track scanning radiometer: 2. Experimental results and validation of AVHRR algorithms , 1994 .

[22]  W. Paul Menzel,et al.  Remote sensing of cloud, aerosol, and water vapor properties from the moderate resolution imaging spectrometer (MODIS) , 1992, IEEE Trans. Geosci. Remote. Sens..

[23]  V. Oinas,et al.  Atmospheric Radiation , 1963, Nature.

[24]  Thomas J. Schmugge,et al.  Land surface evaporation : measurement and parameterization , 1991 .

[25]  W. Wiscombe.  The Delta–M Method: Rapid Yet Accurate Radiative Flux Calculations for Strongly Asymmetric Phase Functions , 1977 .

[26]  Z. Li,et al.  Towards a local split window method over land surfaces , 1990 .

[27]  P. Deschamps,et al.  Description of a computer code to simulate the satellite signal in the solar spectrum : the 5S code , 1990 .

[28]  Gail P. Anderson,et al.  Moderate Spectral Atmospheric Radiance and Transmittance Code (MOSART). Volume 1. Installation Reference Manual. , 1995 .

[29]  Alexander Berk,et al.  MODTRAN: a moderate resolution model for LOWTRAN. Technical report, 12 May 1986-11 May 1987 , 1987 .

[30]  V. M. Devi,et al.  THE HITRAN MOLECULAR DATABASE: EDITIONS OF 1991 AND 1992 , 1992 .

[31]  H. Mannstein,et al.  Surface Energy Budget, Surface Temperature and Thermal Inertia , 1987 .

[32]  G. Anderson,et al.  Validation of fascod3 and modtran3: comparison of model calculations with ground-based and airborne interferometer observations under clear-sky conditions. , 1996, Applied optics.

[33]  H. Revercomb,et al.  Analysis of the FASCODE model and its H(2)O continuum based on long-path atmospheric transmission measurements in the 4.5-11.5-µm region. , 1994, Applied optics.

[34]  J. Muller,et al.  Terrestrial remote sensing science and algorithms planned for EOS/MODIS , 1994 .

[35]  P. S. Kealy,et al.  A comparison of techniques for extracting emissivity information from thermal infrared data for geologic studies , 1992 .

[36]  Thomas J. Schmugge,et al.  Land Surface Evaporation , 1991 .

[37]  William L. Smith,et al.  Vertical Sounding Capabilities With High Spectral Resolution Atmospheric Radiation Measurements-A Demonstration with the High resolution Interferometer Sounder (HIS) , 1993 .

[38]  P. Sellers,et al.  The First ISLSCP Field Experiment (FIFE) , 1988 .

[39]  Alan H. Strahler,et al.  Solar zenith angle effects on forest canopy hemispherical reflectances calculated with a geometric-optical bidirectional reflectance model , 1993, IEEE Trans. Geosci. Remote. Sens..

[40]  Richard H. Tipping,et al.  The detailed balance requirement and general empirical formalisms for continuum absorption , 1994 .

[41]  A.Vidal.  Atmospheric and emissivity correction of land surface temperature measured from satellite using ground measurements or satellite data , 1991 .

[42]  F. X. Kneizys,et al.  Line shape and the water vapor continuum , 1989 .

[43]  R. H. Tipping,et al.  A far wing line shape theory and its application to the foreign-broadened water continuum absorption. III , 1992 .

[44]  Warren J. Wiscombe,et al.  Extension of the doubling method to inhomogeneous sources , 1976 .

[45]  Z. Li,et al.  Feasibility of land surface temperature and emissivity determination from AVHRR data , 1993 .

[46]  José A. Sobrino,et al.  Atmospheric correction for land surface temperature using NOAA-11 AVHRR channels 4 and 5 , 1991 .

[47]  Alain Chedin,et al.  Automatic classification of air mass type from satellite vertical sounding data. Application to NOAA-7 observations , 1987 .

[48]  R E Roberts,et al.  Infrared continuum absorption by atmospheric water vapor in the 8-12-microm window. , 1976, Applied optics.

[49]  Jeff Dozier,et al.  A generalized split-window algorithm for retrieving land-surface temperature from space , 1996, IEEE Trans. Geosci. Remote. Sens..

[50]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[51]  W. Weaver,et al.  Two-Stream Approximations to Radiative Transfer in Planetary Atmospheres: A Unified Description of Existing Methods and a New Improvement , 1980 .

[52]  C. Rodgers,et al.  Retrieval of atmospheric temperature and composition from remote measurements of thermal radiation , 1976 .

[53]  Yann Kerr,et al.  Accurate land surface temperature retrieval from AVHRR data with use of an improved split window algorithm , 1992 .

[54]  F. X. Kneizys,et al.  Users Guide to LOWTRAN 7 , 1988 .

[55]  V. Salomonson,et al.  MODIS: advanced facility instrument for studies of the Earth as a system , 1989 .

[56]  Q. Fu,et al.  On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres , 1992 .

[57]  A. Berk.  MODTRAN : A moderate resolution model for LOWTRAN7 , 1989 .

[58]  W. C. Snyder,et al.  Surface temperature correction for active infrared reflectance measurements of natural materials. , 1996, Applied optics.

[59]  J. Salisbury,et al.  Emissivity of terrestrial materials in the 3–5 μm atmospheric window☆ , 1992 .

[60]  J. Dozier,et al.  Land-surface temperature measurement from space: physical principles and inverse modeling , 1989 .