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Appendix 6Tables for Surface Albedo ComputationsTable 6.1. LMIN and LMAX values for Landsat 5 TM (Left: for 1984 from Markham andBarker, 1986, Right: for 2000 calibrated by Univ. Idaho 2002)BandAfter 15, Jan, 1984W*m -2 *ster -1 *µm -1 BandFor 2000W*m -2 *ster -1 *µm -1Number LMIN LMAX Number LMIN LMAX1 -1.500 152.100 1 -1.765 178.9412 -2.800 296.800 2 -3.576 379.0553 -1.200 204.300 3 -1.502 255.6954 -1.500 206.200 4 -1.763 242.3035 -0.370 27.190 5 -0.411 30.1786 1.238 15.600 6 1.238 15.6007 -0.150 14.380 7 -0.137 13.156Table 6.2. LMAX and LMIN values for Landsat 7 ETM+ (Landsat 7 Science User DataHandbook Chap.11, 2002)W*m-2*ster-1*µm-1Before July 1, 2000 After July 1, 2000BandLow Gain High Gain Low Gain High GainNumber LMIN LMAX LMIN LMAX LMIN LMAX LMIN LMAX1 -6.20 297.50 -6.20 194.30 -6.20 293.70 -6.20 191.602 -6.00 303.40 -6.00 202.40 -6.40 300.90 -6.40 196.503 -4.50 235.50 -4.50 158.60 -5.00 234.40 -5.00 152.904 -4.50 235.00 -4.50 157.50 -5.10 241.10 -5.10 157.405 -1.00 47.70 -1.00 31.76 -1.00 47.57 -1.00 31.066 0.00 17.04 3.20 12.65 0.00 17.04 3.20 12.657 -0.35 16.60 -0.35 10.932 -0.35 16.54 -0.35 10.808 -5.00 244.00 -5.00 158.40 -4.70 243.10 -4.70 158.30Band 8 (panchromatic band) is not used in SEBAL. The gain combination for theparticular image must be clear when selecting the LMIN and LMAX values in Table 2.These calibration constants are best used for 1999 to 2001 images. For the future use, it isrecommended to access the “Landsat 7 Science User Data Handbook” to see if the latestcalibration constants are available.62
Table 6.3. ESUN λ for Landsat 5 TM (Markham and Barker, 1986), and for Landsat 7 ETM+(Landsat 7 Science User Data Handbook Chap.11, 2002), both are in W/m 2 /µmBand 1 Band 2 Band 3 Band 4 Band 5 Band 6 Band 7Landsat 5 1957 1829 1557 1047 219.3 - 74.52Landsat 7 1969 1840 1551 1044 225.7 - 82.07Note: a dummy value of 1 is entered for band 6.Table 6.4. Weighting coefficients, ω λBand 1 Band 2 Band 3 Band 4 Band 5 Band 6 Band 7Landsat 5 0.293 0.274 0.233 0.157 0.033 - 0.011Landsat 7 0.293 0.274 0.231 0.156 0.034 - 0.012Note: a dummy value of 0 is entered for band 6.Table 6.5. Number of the day of the year.Number of the day in the year (J)Day January February March* April* May* June*123456789101234567891032333435363738394041606162636465666768699192939495969798991001211221231241251261271281291301521531541551561571581591601611112131415161718192011121314151617181920424344454647484950517071727374757677787910110210310410510610710810911013113213313413513613713813914016216316416516616716816917017121222324252627282930312122232425262728293031*add 1 if leap year5253545556575859(60)--8081828384858687888990111112113114115116117118119120-141142143144145146147148149150151172173174175176177178179180181-63
Page 1 and 2:
SEBALSurface Energy Balance Algorit
Page 3 and 4:
6. Tables for surface albedo comput
Page 5 and 6:
δ declination of the earth radians
Page 7 and 8:
INTRODUCTION1. BACKGROUNDLand manag
Page 9 and 10:
THE THEORETICAL BASIS OF SEBAL1. OV
Page 11 and 12: The surface emissivity is the ratio
Page 13 and 14: • Reference evapotranspiration, E
Page 15 and 16: Figure 3. Flow Chart of the Net Sur
Page 17 and 18: 2. The reflectivity for each band (
Page 19 and 20: and ET are specified for the two ex
Page 21 and 22: To complete step 2, model F06_surfa
Page 23 and 24: D. Choosing the “Hot” and “Co
Page 25 and 26: irrigated crops near Kimberly, Idah
Page 27 and 28: where; u * is the friction velocity
Page 29 and 30: Weather stationu, z x, z om, u *H f
Page 31 and 32: Note: An alternative method used by
Page 33 and 34: where;⎛ 2 ⎞⎜1+ x(0.1m)Ψ = 2
Page 35 and 36: where; ET inst is the instantaneous
Page 37 and 38: Figure 6 shows an example of a dail
Page 39 and 40: 1. If there is some cloud cover in
Page 41 and 42: • For all other formats (includin
Page 43 and 44: On the main page, select Type in Pa
Page 45 and 46: These values for z om can vary by r
Page 47 and 48: Appendix 3Reference Evapotranspirat
Page 49 and 50: and click on “Open”3. Provide t
Page 51 and 52: 5. Describe weather station and wea
Page 53 and 54: 8. Save the output file using a nam
Page 55 and 56: 4. Go to the Viewer tool and view t
Page 57 and 58: Appendix 5Time Issues Around Weathe
Page 59 and 60: 2. What time interval does the data
Page 61: The wind speed is 3.4 m/s for the 1
Page 65 and 66: Table 6.6. Typical albedo values.Fr
Page 67 and 68: 4. Make a first guess for T cold by
Page 69 and 70: Fig.3. P40/R30, Landsat 7 ETM+ 4/8/
Page 71 and 72: Fig.5. P40/R30, Landsat 7 ETM+ 4/8/
Page 73 and 74: We open the image or subset image a
Page 75 and 76: Now, we look at the northwest area
Page 77 and 78: (2) The regional weather or soil co
Page 79 and 80: We conclude that this “heat islan
Page 81 and 82: Part 1: using the manual iteration
Page 83 and 84: Part 2: Using the automatic iterati
Page 85 and 86: Appendix 9SAVI and LAI for Southern
Page 87 and 88: equation for G. The following are e
Page 89 and 90: and for 24-hours:Gwater = 0.9 Rn -
Page 91 and 92: The Stability of the AtmosphereAppe
Page 93 and 94: Appendix 12The SEBAL Mountain Model
Page 95 and 96: where; t is the standard clock time
Page 97: N. Momentum Roughness LengthThe mom
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