Angular corrections to satellite data for estimating earth radiation budget

Remote Sensing Reviews

Volumn 18, Issue 2, 2000, Pages 103-136

  Liang, Shunlin ^a   Stroeve, Julienne C ^b   Grant, Ian F ^c   Strahler, Alan H ^d   Duvel, Jean Philippe ^e  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c CSIRO   (Australia)

^d BOSTON UNIVERSITY   (United States)

^e ECOLE POLYTECHNIQUE   (France)

Author keywords

Albedo; Angular distribution model; Radiation budget; Remote sensing; Satellite

Indexed keywords

CLIMATE CHANGE; LIGHTING; RESEARCH; SATELLITES;

LAND SURFACE;

ATMOSPHERIC RADIATION;

ALBEDO; CORRECTION; RADIATION BUDGET; SATELLITE DATA; SPATIOTEMPORAL ANALYSIS; SURFACE FLUX; TOP OF ATMOSPHERE;

EID: 0039772207     PISSN: 02757257     EISSN: None     Source Type: Journal    
DOI: 10.1080/02757250009532387     Document Type: Article

References (112)

1. 2, pp. 109-141, MacCracken, M. C. and Luther, F. M. (Eds.), DOE/ER-0235.
2. Becker, F. and Li, Z. (1995) Surface temperature and emissivity at various scales: Definition, measurement and related problems. Remote Sensing Reviews, 12, 225-253.
3. Brest, C. L. and Goward, S. (1987) Deriving surface albedo measurements from narrowband satellite data. International Journal of Remote Sensing, 8, 351-367.
4. Briegleb, B. P., Minnis, P., Ramanathan, V. and Harrison, E. (1986) Comparison of regional clear-sky albedos inferred from satellite observations and model computations. Journal of Climate and Applied Meteorology, 25, 214-226.
5. Brooks, D. R., Harrison, E. F., Minnis, P., Suttles, J. T. and Kandel, R. S. (1986) Development of algorithms for understanding the temporal and spatial variability of the Earth's radiation balance. Reviews of Geophysics, 24, 422-438.
6. Buriez, J. C., Vanbauce, C., Parol, F., Goloub, P., Herman, M., Bonnel, B., Fouquart, Y., Couvert, P. and Seze, G. (1997) Cloud detection and derivation of cloud properties from POLDER. International Journal Remote Sensing, 18, 2785-2813.
7. Capderou, M. (1998) Confirmation of Helmholtz reciprocity using ScaRaB satellite data. Remote Sensing of Environment, 64, 266-285.
8. Chen, J., Li, X., Nilson, T. and Strahler, A. (2000) Recent advances in geometrical optical modeling and its applications. Remote Sensing Reviews, this issue.
9. Chen, T. and Ohring, G. (1984) On the relationship between clear-sky planetary and surface albedos. Journal of Atmospheric Sciences, 41, 156-158.
10. De Abreu, R. D., Barber, D. G., Misurak, K. and Le Drew, E. F. (1994) Spectral albedo of snow-covered first-year and multi-year sea ice during spring melt. Annals of Glaciology, 21, 288-297.
11. Deschamps, P. Y., Brion, F., Leroy, M., Podaire, A., Bricaud, A., Buriez, J. and Seze, G. (1994) The POLDER mission: Instrument characteristics and scientific objectives. IEEE Transactions on Geoscience and Remote Sensing, 32, 598-615.
12. Dickinson, R. E. (1983) Land surface processes and climate - surface albedos and energy balance. Advances in Geophysics, 25, 305-353.
13. Di Girolamo, L., Varnai, T. and Davies, R. (1998) Apparent breakdown of reciprocity in reflected solar radiances. Journal of Geophysical Research, 103, 8795-8803.
14. Diner, D., Davies, R., Varnai, T., Moroney, C., Borel, C. and Gerstl, S. (1997) MISR Level 2 Top-of-Atmosphere Albedo Algorithm Theoretical Basis. JPL D-13401, Rev. C, September, 1997.
15. Diner, D., Beckert, J. C., Reilly, T. H., Bruegge, C. J., Conel, J. E., Kahn, R. A., Montonchik, J., Ackerman, J., Davies, R., Gerstl, S. A. W., Gordon, H. R., Muller, J.-P., Myneni, R. B., Sellers, P. J., Pinty, B. and Verstraete, M. M. (1998) Multi-angle Imaging Spectro-Radiometer (MISR) instrument description and experiment overview. IEEE Transactions on Geosciences and Remote Sensing, 36, 1072-1087.
16. Disney, M., Lewis, P. and North, P. (2000) Monte Carlo ray tracing in optical canopy reflectance modelling. Remote Sensing Reviews, this issue.
17. Dlhopolksy, R. and Cess, R. (1993) Improved angular directional models for clear sky ocean derived from Earth Radiation Budget Satellite Shortwave Radiances. Journal of Geophysical Research, 98, 16,713-16,721.
18. Frouin, R. and Pinker, R. (1995) Estimating photosynthetically active radiation (PAR) at the earth's surface from satellite observations. Remote Sensing of Environment, 51, 98-107.
19. Garratt, J. R., Krummel, P. and Kowalczyk, E. A. (1993) The surface energy balance at local and regional scales - A comparison of general circulation model results with observations. Journal of Climate, 6, 1090-1109.
20. Gautier, C. and Landsfeld, M. (1997) Surface solar radiation flux and cloud radiative forcing for the atmospheric radiation measurement (ARM) southern great plain (SGP): A satellite, surface observations and radiative transfer model study. Journal of Atmospheric Sciences, 54, 1289-1307.
21. Gillespie, A., Rokugawa, S., Matsunaga, T., Cothern, J. S., Hook, S. and Kahle, A. (1998) A temperature and emissivity separation algorithm for Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) images. IEEE Transactions on Geosciences and Remote Sensing, 36, 1113-1126.
22. Goel, N. S. and Norman, J. M. (1992) Biophysical models, measurements and remote sensing of vegetation. ISPRS Journal of Photogrammetry and Remote Sensing, 47, 163-188.
23. Grant, I. F., Prata, A. J. and Cechet, R. P. (2000) The impact of the diurnal variation of albedo on the remote sensing of the daily mean albedo of grassland. Journal of Applied Meteorology, 39, 231-244.
24. Green, R. N. and O'Rawe Hinton (1996) Estimation of angular distribution models from radiance pairs. Journal of Geophysical Research, 101, 16951-16959.
25. Gutman, G. G. (1994) Global data on land surface parameters from NOAA AVHRR for use in numerical climate models. Journal of Climate, 7, 699-703.
26. Haefliger, M., Steffen, K. and Fowler, C. (1993) AVHRR surface temperature and narrowband albedo comparison with ground measurements for the Greenland ice sheet. Annals of Glaciology, 17, 49-54.
27. Han, W., Stamnes, K. and Lubin, D. (1999) Remote Sensing of surface and cloud properties in the arctic from AVHRR measurements. Journal of Applied Meteorology, 38, 989-1012.
28. Hartmann, D. L., Bretherrton, C. S., Charlock, T. P., Chou, M. D., Del Genio, A., Dickinson, R. E., Fu, R., Houze, R. A., King, M. D., Lau, K. M., Leovy, C. B., Sorooshian, S., Washburne, J., Wielicki, B. and Willson, R. C. (1999) Radiation, clouds, water vapor, precipitation, and atmospheric circulation. In: EOS Science Plan., 39-114 pp.
29. Hucek, R. and Jacobowitz, H. (1995) Impact of scene dependence on AVHRR albedo models. Journal of Atmosphere and Oceanographic Technology, 12, 697-711.
30. Irons, J. R., Ranson, K. J. and Daughtry, C. (1988) Estimating big bluestem albedo from directional reflectance measurements. Remote Sensing of Environment, 25, 185-199.
31. Jacobowitz, H. and Tighe, R. J. (1984) and the Nimbus-7 ERB Experiment Team, The Earth radiation budget derived from the Nimbus-7 ERB experiment. Journal of Geophysical Research, 89, 4997-5010.
32. Kandel, R., Viollier, M., Raberanto, P., Duvel, J. P., Pakhomov, L. A., Golovko, V. A., Trishchenko, A. P., Mueller, J., Rashke, E. and Stuhlmann, R. (1998) The ScaRaB Earth Radiation Budget Dataset. Bulletin of American Meteorology Society, 79, 765-783.
33. Kimes, D. S. and Sellers, P. J. (1985) Inferring hemispherical reflectance of the Earth's surface for global energy budgets from remotely sensed nadir or directional radiance values. Remote Sensing of Environment, 18, 205-223.
34. Kimes, D. S., Sellers, P. J. and Newcomb, W. W. (1987) Hemispherical reflectance variations of vegetation canopies and implications for global and regional energy budget studies. Journal of Climate and Applied Meteorology, 26, 959-972.
35. Knap, W. H. and Reijmer, C. H. (1998) Anisotropy of the reflected radiation field over melting glacier ice: measurements in Landsat TM bands 2 and 4. Remote Sensing of Environment, 65, 93-104.
36. Knapp, W. H., Reijmer, C. H. and Oerlemans, J. (1999) Narrowband to broadband conversion of Landsat TM glacier albedos. International Journal of Remote Sensing, 20, 2091-2110.
37. Koepke, P. (1989) Removal of atmospheric effects from AVHRR albedos. Journal of Applied Meteorology, 28, 1341-1348.
38. Kondratyev, K. Y., Korzov, V. I., Mukhenberg, V. V. and Dyachenko, L. N. (1982) The shortwave albedo and the surface emissivity. In: Land surface processes in atmospheric general circulation models, edited by Eagleson, P. S. Cambridge University Press.
39. Kopia, L. P. (1986) Earth radiation budget experiment scanner instrument. Reviews in Geophysics, 24, 400-406.
40. Kriebel, K. T. (1979) Albedo of vegetated surfaces: Its variability with differing irradiance. Remote Sensing of Environment, 58, 283-290.
41. Kriebel, K. T. (1996) On the limited validity of reciprocity in measured BRDFs. Remote Sensing of Environment, 58, 52-62.
42. Laszlo, I., Jacobotwitz, H. and Gruber, A. (1988) The relative merits of narrowband channels for estimating broadband albedos. Journal of Atmosphere and Oceanographic Technology, 5, 757-773.
43. Leroy, M., Deuze, J. L., Breon, F. M., Hautecoeur, O., Herman, M., Buriez, J. C., Tanre, D., Bouffies, S., Chazette, P. and Roujean, J. L. (1997) Retrieval of atmospheric properties and surface bidirectional reflectances over land from POLDER/ADEOS. Journal of Geophysical Research, 102, 17023-17037.
44. Li, Z. (1996) On the angular correction of satellite radiation measurements: the performance of ERBE angular dependence model in the arctic. Theoretical Applied Climatology, 54, 235-248.
45. Li, Z. and Leighton, H. G. (1993) Global climatology of solar radiation budgets at the surface and in the atmosphere from 5 years of ERBE data. Journal of Geophysical Research, 98, 4919-4930.
46. Li, Z. and Leighton, H. G. (1992) Narrowband to broadband conversion with spatially autocorrelated reflectance measurements. Journal of Applied Meteorology, 31, 421-432.
47. Li, Z., Leighton, H. G., Masuda, K. and Takashima, T. (1993) Estimation of SW flux absorbed at the surface from TOA reflected flux. Journal of Climate, 6, 317-330.
48. Liang, S. (2000) Narrowband to broadband conversions of land surface albedo, submitted to Remote Sensing of Environment.
49. Liang, S., Strahler, A. H. and Walthall, C. (1999) Retrieval of land surface albedo from satellite observations: A simulation study. Journal of Applied Meteorology, 38, 712-725.
50. Lindsay, R. W. and Rothrock, D. A. (1994) Arctic sea ice albedo from AVHRR, Journal of Climate, 7, 1737-1749.
51. Lucht, W. (1998) Expected retrieval accuracies of bidirectional reflectance and albedo from EOS-MODIS and MISR angular sampling. Journal of Geophysical Research, 103, 8763-8778.
52. Lucht, W. and Roujean, J. (2000) Considerations in the parametric modeling of BRDF and albedo from multiangular satellite sensor observations. Remote Sensing Reviews, this issue.
53. Lucht, W., Schaaf, C. B. and Strahler, A. (2000) An algorithm for the retrieval of albedo from space using semiempirical BRDF models. IEEE Transactions on Geoscience and Remote Sensing, 38, 977-998.
54. Luther, M. R., Cooper, J. E. and Taylor, G. R. (1986) The Earth radiation budget experiment nonscanner instrument. Reviews in Geophysics, 24, 391-399.
55. Lyapustin, A. I. (1999) Atmospheric and geometrical effects on land surface albedo. Journal of Geophysical Research, 104, 4127-4136.
56. Manalo-Smith, N., Smith, G. L., Tiwari, S. N. and Staylor, W. F. (1998) Analytic forms of bidirectional reflectance functions for application to Earth radiation budget studies. Journal of Geophysical Research, 103, 19,733-19,751.
57. Maslanik, J., Fowler, C., Key, J., Scambos, T., Hutchinson, T. and Emery, W. (1998) AVHRR-based Polar Pathfinder products for modeling applications. Annals of Glaciology, 25, 388-392.
58. Middleton, W. E. K. and Mungall, A. G. (1952) The luminous directional reflectance of snow. Journal of Optical Society of America, 42, 572-579.
59. Minnis, P. and Harrison, E. F. (1984) Diurnal variability of regional cloud and clear-sky radiative parameters derived from GOES data. Part III: November, 1978 radiative parameters. Journal of Climatology and Applied Meteorology, 23, 1032-1052.
60. Minnis, P., Young, D. and Harrison, E. (1991) Examination of the relationship between outgoing infrared window and total longwave fluxes using satellite data. Journal of Climate, 4, 1114-1133.
61. Minnis, P., Smith, W. L. Jr., Garber, D. P., Ayers, J. K. and Doelling, D. R. (1995) Cloud properties derived from GOES-7 for the Spring 1994 ARM intensive observing period using version 1.0.0 of the ARM satellite data analysis program. NASA RP 1366, 59 pp.
62. Minnis, P., Mayor, S., Smith, W. Jr. and Young, D. F. (1997) Asymmetry in the diurnal variation of surface albedo. IEEE Transactions on Geoscience and Remote Sensing, 35, 879-891.
63. Monteith, J. L. and Szeicz, G. (1961) The radiation balance of bare soil and vegetation. Quarterly Journal of Royal Meteorological Society, 87, 159-170.
64. Nolin, A. W. (1995) Snow albedo from BRDF parameterizations. EOS Transactions on American Geophysical Union, 76, 185.
65. Nolin, A. W. and Liang, S. (2000) Progress in bidirectional reflectance modeling and applications for surface particulate media: snow and soils. Remote Sensing Reviews, this issue.
66. Nolin, A. W. and Stroeve, J. C. (1997) The changing albedo of the Greenland ice sheet: Implications for climate change. Annals of Glaciology, 25, 51-57.
67. Payne, R. E. (1972) Albedo of the sea surface. Journal of Atmospheric Sciences, 29, 959-970.
68. Pinker, R. T. (1985) Determination of surface albedo from satellite. Advanced Space Research, 5, 333-343.
69. Pinker, R. T. and Laszlo, I. (1992) Modeling surface solar irradiance for satellite applications on a global scale. Journal of Applied Meteorology, 31, 194-211.
70. Pinker, R. T., Frouin, R. and Li, Z. (1995) A review of satellite methods to derive surface shortwave irradiance. Remote Sensing of Environment, 51, 108-124.
71. Pinker, R. T., Thompson, O. E. and Eck, T. F. (1980) The albedo of a tropical evergreen forest. Quarterly Journal of Royal Meteorological Society, 106, 551-558.
72. Prata, A. J., Grant, I. F., Cechet, R. P. and Rutter, G. F. (1998) Five years of shortwave radiation budget measurements at a continental land site in south-eastern Australia. Journal of Geophysical Research, 103, 26,093-26,106.
73. Prata, A. J., Caselles, V., Coll, C., Sobrino, J. and Ottle, C. (1995) Thermal remote sensing of land surface temperature from satellites: Current status and future prospects. Remote Sensing Reviews, 12, 175-224.
74. Price, J. C. (1984) Land surface temperature measurements from the split window channels of the NOAA-7/AVHRR. Journal of Geophysical Research, 89, 7231-7237.
75. Qin, W. and Liang, S. (2000) Plane-parallel canopy radiation transfer modeling: recent advances and future directions. Remote Sensing Reviews, this issue.
76. Rahman, H., Verstraete, M. and Pinty, B. (1993) Coupled surface-atmosphere reflectance (CSAR) model, 1, Model description and inversion on synthetic data. Journal of Geophysical Research, 98, 20779-20790.
77. Ranson, K. J., Irons, J. and Daughtry, C. (1991) Surface albedo from bidirectional reflectance. Remote Sensing of Environment, 35, 201-211.
78. Rieland, M. and Stuhlmann, R. (1993) Toward the influence of clouds on the shortwave radiation budget of the Earth-atmosphere system estimated from satellite data. Journal of Applied Meteorology, 32, 825-843.
79. Roesch, A., Gilgen, H., Wild, M. and Ohmura, A. (1999) Assessment of GCM simulated snow albedo using direct observations. Climate Dynamics, 15, 405-418.
80. Rossow, W. B. and Zhang, Y. (1995) Calculation of surface and top of atmosphere radiative fluxes from physical quantities based on ISCCP datasets, 2. Validation and first results. Journal of Geophysical Research, 100, 1167-1080.
81. Russell, M., Nunez, M., Chladil, A., Valiente, J. A. and Lopez-Baeza, E. (1997) Conversion of nadir, narrowband reflectance in red and near-infrared channels to hemispherical surface albedo. Remote Sensing of Environment, 61, 16-23.
82. Saunders, R. W. (1990) The determination of broad band surface albedo from AVHRR visible and near-infrared radiances. International Journal of Remote Sensing, 11, 49-67.
83. Sellers, P. J., Rasool, S. I. and Bolle, H. J. (1990) A review of Satellite data algorithms for studies of the land surface. Bulletin American Meteorological Society, 71, 1429-1447.
84. Smith, G. L., Green, R. N., Raschke, E., Avis, L. M., Suttles, J. T., Wielicki, B. A. and Davies, R. (1986) Inversion methods for satellite studies of the Earth's radiation budget: Development of algorithms for the ERBE mission. Reviews in Geophysics, 24, 407-421.
85. Song, J. (1998) Diurnal asymmetry in surface albedo. Agricultural and Forest Meteorology, 92, 181-189.
86. Song, J. and Gao, W. (1999) An improved method to derive surface albedo from narrowband AVHRR satellite data: narrowband to broadband conversion. Journal of Applied Meteorology, 38, 239-249.
87. Stamnes, K., Tsay, S., Wiscombe, W. and Jayaweera, K. (1988) Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. Applied Optics, 27, 2502-2509.
88. Steffen, K. (1987) Bidirectional reflectance of snow at 500-600 nm. Proceedings of the Vancouver Symposium, 415-425.
89. Steffen, K. (1996) Effect of solar zenith angle on snow anisotropic reflectance. International Radiation Symposium (IRS) 96, pp. 1-4.
90. Strahler, A. H., Lucht, W., Schaaf, C., Tsang, T., Gao, F., Li, X., Muller, J.-P., Lewis, P. and Barnsley, M. (1999) MODIS BRDF/Albedo Product: Algorithm Theoretical Basis Documentation. Version 5.0, April, 1999.
91. Stroeve, J., Nolin, A. and Steffen, K. (1997) Comparison of AVHRR-Derived and in-situ Surface Albedo over the Greenland Ice Sheet. Remote Sensing of Environment, 62, 262-276.
92. Stroeve, J. C. (1996) Radiation climatology of the Greenland ice sheet, Ph.D. Thesis, University of Colorado.
93. Stuhlmann, R. and Raschke, E. (1987) Satellite measurements of the earth radiation budget: sampling and retrieval of shortwave exitance - a sampling study. Contributions to Atmospheric Physics, 60, 393-410.
94. Suttles, J. T., Green, R., Minnis, P., Smith, G., Staylor, W., Wielicki, B., Walker, I., Young, D., Taylor, V. and Stowe, L. (1988) Angular radiation models for Earth-atmosphere system. Part I: Shortwave radiation. NASA RP1184, Vol. I, 144 pp.
95. Suttles, J. T., Green, R., Smith, G., Wielicki, B., Walker, I., Taylor, V. and Stowe, L. (1989) Angular radiation models for Earth-atmosphere system. Part II: Longwave radiation. NASA RP 1184, Vol. II.
96. Suttles, J. T., Wielicki, B. and Vemury, S. (1992) Top of atmosphere radiative fluxes: Validation of ERBE scanner inversion algorithm using NIMBUS-7 ERB data. Journal of Applied Meteorology, 31, 784-796.
97. Taylor, V. R. and Stowe, L. L. (1986) Revised reflectance and emission models from Nimbus-7 ERB data. Proceedings of the sixth Conference on Atmospheric Radiation, Williamsburg, VA, May, 13-16, 1986, American Meteorology Society, J19-J22.
98. Taylor, V. R. and Stowe, L. L. (1984) Reflectance characteristics of uniform earth and cloud surface derived from Nimbus-7 ERB, Journal of Geophysical Research, 89, 4987-4996.
99. Viollier, M., Kandel, R. and Raberanto, P. (1995) Inversion and space-time-averaging algorithms for ScaRaB (Scanner for the Earth Radiation Budget): Comparison with ERBE. Annales of Geophysicae, 13, 959-968.
100. Walthall, C. L., Norman, J. M., Welles, J. M., Campbell, G. and Blad, B. L. (1985) Simple equation to approximate the bidirectional reflectance from vegetation canopies and bare soil surfaces. Applied Optics, 24, 383-387.
101. Wan, Z. and Li, Z. (1997) A physics-based algorithm for retrieving land-surface emissivity and temperature from EOS/MODIS data. IEEE Transactions on Geoscience and Remote Sensing, 35, 980-996.
102. Wanner, W., Strahler, A. H., Hu, B., Lewis, P., Muller, J. P., Li, X., Schaaf, C. L. and Barnsley, M. (1997) Global retrieval of bidirectional reflectance and albedo over land from EOS MODIS and MISR data: Theory and algorithm. Journal of Geophysical Research, 102, 17143-17161.
103. Warren, S. G. (1982) Optical properties of snow. Reviews of Geophysics and Space Physics, 20, 67-89.
104. Warren, S. G., Brandt, R. T. and Hinton, P. O. (1998) Effect of surface roughness on bidirectional reflectance of Antarctic Snow. Journal of Geophysical Research, 103, 25789-25807.
105. Whitlock, C., Charlock, T., Staylor, W., Pinker, R., Laszlo, I., Ohmura, A., Gilgen, H., Konzelman, T., DiPasquale, R. C., Moats, C. D., LeCroy, S. R. and Ritchey, N. A. (1995) First global WCRP shortwave surface radiation budget dataset. Bulletin of the American Meteorological Society, 76, 905-922.
106. Wielicki, B. A. and Green, R. N. (1989) Cloud identification for ERBE radiative flux retrieval. Journal of Applied Meteorology, 28, 1133-1146.
107. Wielicki, B. A., Barkstrom, B. R., Baum, B. A., Charlock, T. P., Green, R. N., Kratz, D. P., Lee III, R. B., Minnis, P., Smith, G. L., Wong, T., Young, D. F., Cess, R. D., Coakley, J. A. Jr., Crommelynck, D. A., Donner, L., Kandel, R., King, M. D., Miller, A. J., Ramanathan, V., Randall, D. A., Stowe, L. L. and Welch, R. M. (1998) Clouds and the Earth's Radiant Energy System (CERES): Algorithm overview. IEEE Transactions on Geosciences and Remote Sensing, 36, 1127-1141.
108. Wiscombe, W. J. and Warren, S. G. (1980) A model for the spectral albedo of snow. I: pure snow. Journal of Atmospheric Science, 37, 2712-2727.
109. Wydick, J. E., Davis, P. A. and Gruber, A. (1987) Estimation of broadband Planetary Albedo from Operational narrowband Satellite Measurements, NOAA Technical Report NESDIS 27, April, 1987.
110. Ye, Q. (1993) The space-scale dependence of the observed anisotropy of reflected and emitted radiation, Ph.D. Dissertation, Oregon State University, 159 pp.
111. Young, D., Minnis, P. and Wong, I. (1998) Temporal Interpolation Methods for the Clouds and the Earth's Radiant Energy System (CERES) Experiment. Journal of Applied Meteorology, 37, 572-583.
112. Zhang, Y., Rossow, W. and Lacis, A. (1995) Calculation of surface and top of atmosphere radiative fluxes from physical quantities based on ISCCP data sets, 1. Method and sensitivity to input data uncertainties. Journal of Geophysical Research, 100, 1149-1165.