i.landsat.toar(1)

NAME
i.landsat.toar - Calculates top-of-atmosphere radiance or reflectance and temperature for Landsat MSS/TM/ETM+/OLI

KEYWORDS
imagery, radiometric conversion, radiance, reflectance, brightness temperature, atmospheric correction, satellite, Landsat

SYNOPSIS
i.landsat.toar
i.landsat.toar --help
i.landsat.toar [-rnp] input=basename output=basename [metfile=name] [sensor=string] [method=string] [date=yyyy-mm-dd] [sun_elevation=float] [product_date=yyyy-mm-dd] [gain=string] [percent=float] [pixel=integer] [rayleigh=float] [lsatmet=string[,string,...]] [scale=float] [--overwrite] [--help] [--verbose] [--quiet] [--ui]

  Flags:

-r
    Output at-sensor radiance instead of reflectance for all bands

-n
    Input raster maps use as extension the number of the band instead the code

-p
    Print output metadata info

--overwrite
    Allow output files to overwrite existing files

--help
    Print usage summary

--verbose
    Verbose module output

--quiet
    Quiet module output

--ui
    Force launching GUI dialog

  Parameters:

input=basename [required]
    Base name of input raster bands
    Example: ’B.’ for B.1, B.2, ...

output=basename [required]
    Prefix for output raster maps
    Example: ’B.toar.’ generates B.toar.1, B.toar.2, ...

metfile=name
    Name of Landsat metadata file (.met or MTL.txt)

sensor=string
    Spacecraft sensor
    Required only if ’metfile’ not given (recommended for sanity)
    Options: mss1, mss2, mss3, mss4, mss5, tm4, tm5, tm7, oli8
    mss1: Landsat-1 MSS
    mss2: Landsat-2 MSS
    mss3: Landsat-3 MSS
    mss4: Landsat-4 MSS
    mss5: Landsat-5 MSS
    tm4: Landsat-4 TM
    tm5: Landsat-5 TM
    tm7: Landsat-7 ETM+
    oli8: Landsat_8 OLI/TIRS

method=string
    Atmospheric correction method
    Options: uncorrected, dos1, dos2, dos2b, dos3, dos4
    Default: uncorrected

date=yyyy-mm-dd
    Image acquisition date (yyyy-mm-dd)
    Required only if ’metfile’ not given

sun_elevation=float
    Sun elevation in degrees
    Required only if ’metfile’ not given

product_date=yyyy-mm-dd
    Image creation date (yyyy-mm-dd)
    Required only if ’metfile’ not given

gain=string
    Gain (H/L) of all Landsat ETM+ bands (1-5,61,62,7,8)
    Required only if ’metfile’ not given

percent=float
    Percent of solar radiance in path radiance
    Required only if ’method’ is any DOS
    Default: 0.01

pixel=integer
    Minimum pixels to consider digital number as dark object
    Required only if ’method’ is any DOS
    Default: 1000

rayleigh=float
    Rayleigh atmosphere (diffuse sky irradiance)
    Required only if ’method’ is DOS3
    Default: 0.0

lsatmet=string[,string,...]
    return value stored for a given metadata
    Required only if ’metfile’ and -p given
    Options: number, creation, date, sun_elev, sensor, bands, sunaz, time
    number: Landsat Number
    creation: Creation timestamp
    date: Date
    sun_elev: Sun Elevation
    sensor: Sensor
    bands: Bands count
    sunaz: Sun Azimuth Angle
    time: Time

scale=float
    Scale factor for output
    Default: 1.0

DESCRIPTION
i.landsat.toar is used to transform the calibrated digital number of Landsat imagery products to top-of-atmosphere radiance or top-of-atmosphere reflectance and temperature (band 6 of the sensors TM and ETM+). Optionally, it can be used to calculate the at-surface radiance or reflectance with atmospheric correction (DOS method).

Usually, to do so the production date, the acquisition date, and the solar elevation are needed. Moreover, for Landsat-7 ETM+ it is also needed the gain (high or low) of the nine respective bands.

Optionally (recommended), the data can be read from metadata file (.met or MTL.txt) for all Landsat MSS, TM, ETM+ and OLI/TIRS. However, if the solar elevation is given the value of the metadata file is overwritten. This is necessary when the data in the .met file is incorrect or not accurate. Also, if acquisition or production dates are not found in the metadata file then the command line values are used.

Attention: Any null value or smaller than QCALmin in the input raster is set to null in the output raster and it is not included in the equations.

Attention: This module does not respect the current region settings, in order to have the largest possible sample of pixels from where to get the darkest one of the scene and perform the DOS correction. To limit the results to a custom region, the user is advised to clip the results (with r.clip, for instance) or to define the region first, import the images with region cropping, and then running the module.

Uncorrected at-sensor values (method=uncorrected, default)
The standard geometric and radiometric corrections result in a calibrated digital number (QCAL = DN) images. To further standardize the impact of illumination geometry, the QCAL images are first converted first to at-sensor radiance and then to at-sensor reflectance. The thermal band is first converted from QCAL to at-sensor radiance, and then to effective at-sensor temperature in Kelvin degrees.

Radiometric calibration converts QCAL to at-sensor radiance, a radiometric quantity measured in W/(m² * sr * µm) using the equations:

    •   gain = (Lmax - Lmin) / (QCALmax - QCALmin)

    •   bias = Lmin - gain * QCALmin

    •   radiance = gain * QCAL + bias
where, Lmax and Lmin are the calibration constants, and QCALmax and QCALmin are the highest and the lowest points of the range of rescaled radiance in QCAL.

Then, to calculate at-sensor reflectance the equations are:

    •   sun_radiance = [Esun * sin(e)] / (PI * d^2)

    •   reflectance = radiance / sun_radiance
where, d is the earth-sun distance in astronomical units, e is the solar elevation angle, and Esun is the mean solar exoatmospheric irradiance in W/(m² * µm).

Simplified at-surface values (method=dos[1-4])
Atmospheric correction and reflectance calibration remove the path radiance, i.e. the stray light from the atmosphere, and the spectral effect of solar illumination. To output these simple at-surface radiance and at-surface reflectance, the equations are (not for thermal bands):

    •   sun_radiance = TAUv * [Esun * sin(e) * TAUz + Esky] / (PI * d^2)

    •   radiance_path = radiance_dark - percent * sun_radiance

    •   radiance = (at-sensor_radiance - radiance_path)

    •   reflectance = radiance / sun_radiance
where, percent is a value between 0.0 and 1.0 (usually 0.01), Esky is the diffuse sky irradiance, TAUz is the atmospheric transmittance along the path from the sun to the ground surface, and TAUv is the atmospheric transmittance along the path from the ground surface to the sensor. radiance_dark is the at-sensor radiance calculated from the darkest object, i.e. DN with a least ’dark_parameter’ (usually 1000) pixels for the entire image. The values are,

    •   DOS1: TAUv = 1.0, TAUz = 1.0 and Esky = 0.0

    •   DOS2: TAUv = 1.0, Esky = 0.0, and TAUz = sin(e) for all bands with maximum wave length less than 1. (i.e. bands 4-6 MSS, 1-4 TM, and 1-4 ETM+) other bands TAUz = 1.0

    •   DOS3: TAUv = exp[-t/cos(sat_zenith)], TAUz = exp[-t/sin(e)], Esky = rayleigh

    •   DOS4: TAUv = exp[-t/cos(sat_zenith)], TAUz = exp[-t/sin(e)], Esky = PI * radiance_dark
Attention: Output radiance remain untouched (i.e. no set to 0.0 when it is negative) then they are possible negative values. However, output reflectance is set to 0.0 when is obtained a negative value.

NOTES
The output raster cell values can be rescaled with the scale parameter (e.g., with 100 in case of using reflectance output in i.gensigset).

  On Landsat-8 metadata file
NASA reports a structure of the L1G Metadata file (LDCM-DFCB-004.pdf) for Landsat Data Continuity Mission (i.e. Landsat-8).

NASA retains in MIN_MAX_RADIANCE group the necessary information to transform Digital Numbers (DN) in radiance values. Then, i.landsat.toar replaces the possible standard values with the metadata values. The results match with the values reported by the metada file in RADIOMETRIC_RESCALING group.

Also, NASA reports the same values of reflectance for all bands in max-min values and in gain-bias values. This is strange that all bands have the same range of reflectance. Also, they wrote in the web page as to calculate reflectance directly from DN, first with RADIOMETRIC_RESCALING values and second divided by sin(sun_elevation).

This is a simple rescaling

    •   reflectance = radiance / sun_radiance = (DN * RADIANCE_MULT + RADIANCE_ADD) / sun_radiance

    •   now reflectance = DN * REFLECTANCE_MULT + REFLECTANCE_ADD

    •   then REFLECTANCE_MULT = RADIANCE_MULT / sun_radiance

    •   and REFLECTANCE_ADD = RADIANCE_ADD / sun_radiance

The problem arises when we need ESUN values (not provided) to compute sun_radiance and DOS. We assume that REFLECTANCE_MAXIMUM corresponds to the RADIANCE_MAXIMUM, then

    •   REFLECTANCE_MAXIMUM / sin(e) = RADIANCE_MAXIMUM / sun_radiance

    •   Esun = (PI * d^2) * RADIANCE_MAXIMUM / REFLECTANCE_MAXIMUM
where d is the earth-sun distance provided by metadata file or computed inside the program.

The i.landsat.toar reverts back the NASA rescaling to continue using Lmax, Lmin, and Esun values to compute the constant to convert DN to radiance and radiance to reflectance with the "traditional" equations and simple atmospheric corrections. Attention: When MAXIMUM values are not provided, i.landsat.toar tries to calculate Lmax, Lmin, and Esun from RADIOMETRIC_RESCALING (in tests the results were the same).

  Calibration constants
In verbose mode (flag --verbose), the program write basic satellite data and the parameters used in the transformations.

Production date is not an exact value but it is necessary to apply correct calibration constants, which were changed in the dates:

    •   Landsat-1 MSS: never

    •   Landsat-2 MSS: July 16, 1975

    •   Landsat-3 MSS: June 1, 1978

    •   Landsat-4 MSS: August 26, 1982 and April 1, 1983

    •   Landsat-4 TM: August 1, 1983 and January 15, 1984

    •   Landsat-5 MSS: April 6, 1984 and November 9, 1984

    •   Landsat-5 TM: May 4, 2003 and April, 2 2007

    •   Landsat-7 ETM+: July 1, 2000

    •   Landsat-8 OLI/TIRS: launched in 2013

EXAMPLES

  Metadata file examples
Transform digital numbers of Landsat-7 ETM+ in band rasters 203_30.1, 203_30.2 [...] to uncorrected at-sensor reflectance in output files 203_30.1_toar, 203_30.2_toar [...] and at-sensor temperature in output files 293_39.61_toar and 293_39.62_toar:

i.landsat.toar input=203_30. output=_toar \
  metfile=p203r030_7x20010620.met

or

i.landsat.toar input=L5121060_06020060714. \
  output=L5121060_06020060714_toar \
  metfile=L5121060_06020060714_MTL.txt

or

i.landsat.toar input=LC80160352013134LGN03_B output=toar \
  metfile=LC80160352013134LGN03_MTL.txt sensor=oli8 date=2013-05-14

  DOS1 example
DN to reflectance using DOS1:

# rename channels or make a copy to match i.landsat.toar’s input scheme:
g.copy raster=lsat7_2002_10,lsat7_2002.1
g.copy raster=lsat7_2002_20,lsat7_2002.2
g.copy raster=lsat7_2002_30,lsat7_2002.3
g.copy raster=lsat7_2002_40,lsat7_2002.4
g.copy raster=lsat7_2002_50,lsat7_2002.5
g.copy raster=lsat7_2002_61,lsat7_2002.61
g.copy raster=lsat7_2002_62,lsat7_2002.62
g.copy raster=lsat7_2002_70,lsat7_2002.7
g.copy raster=lsat7_2002_80,lsat7_2002.8

Calculation of reflectance values from DN using DOS1 (metadata obtained from p016r035_7x20020524.met.gz):

i.landsat.toar input=lsat7_2002. output=lsat7_2002_toar. sensor=tm7 \
  method=dos1 date=2002-05-24 sun_elevation=64.7730999 \
  product_date=2004-02-12 gain=HHHLHLHHL

The resulting Landsat channels are named lsat7_2002_toar.1 .. lsat7_2002_toar.8.

REFERENCES

    •   Chander G., B.L. Markham and D.L. Helder, 2009: Remote Sensing of Environment, vol. 113

    •   Chander G.H. and B. Markham, 2003: IEEE Transactions On Geoscience And Remote Sensing, vol. 41, no. 11.

    •   Chavez P.S., jr. 1996: Image-based atmospheric corrections - Revisited and Improved. Photogrammetric Engineering and Remote Sensing 62(9): 1025-1036.

    •   Huang et al: At-Satellite Reflectance, 2002: A First Order Normalization Of Landsat 7 ETM+ Images.

    •   R. Irish: Landsat 7. Science Data Users Handbook. February 17, 2007; 15 May 2011.

    •   Markham B.L. and J.L. Barker, 1986: Landsat MSS and TM Post-Calibration Dynamic Ranges, Exoatmospheric Reflectances and At-Satellite Temperatures. EOSAT Landsat Technical Notes, No. 1.

    •   Moran M.S., R.D. Jackson, P.N. Slater and P.M. Teillet, 1992: Remote Sensing of Environment, vol. 41.

    •   Song et al, 2001: Classification and Change Detection Using Landsat TM Data, When and How to Correct Atmospheric Effects? Remote Sensing of Environment, vol. 75.

SEE ALSO
i.atcorr, i.colors.enhance, r.mapcalc, r.in.gdal

Landsat Data Dictionary by USGS

AUTHOR
E. Jorge Tizado (ej.tizado unileon es), Dept. Biodiversity and Environmental Management, University of León, Spain

SOURCE CODE

Available at: i.landsat.toar source code (history)

Latest change: Tuesday Dec 23 23:30:51 2025 in commit: 2550be39b3524cf105ce856cb27ac8efaeef1bfb

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