Table 19.2 List of some split window LST algorithms
No.
Formula
a
Reference
1.
T s
¼ C þ A 1
þ A 2
1
À ε
ε
þ A 3
Δε
ε 2
T 11
þ T 12
ð
Þ
þ A 4
þ A 5
1
À ε
ε
þ A 6
Δε
ε 2
T 11
À T 12
ð
ÞþD T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Wan and Dozier (1996), Becker and Li (1990)
2.
T s
¼ C þ A 1
T11
ε þ A 2
T12
ε þ A 3
1Àε
ε þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Prata and Platt (1991), modified by Caselles et al. (1997)
3.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3 1
À ε 11
ð
ÞþA 4
Δε
þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Coll and Valor (1997)
4.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
1Àε
ε þ A 4
Δε
ε 2
þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Vidal (1991)
5.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
T 11
À T 12
ð
Þ ε 11
þ A 4
T 12
Δε þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Price (1984)
6.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
ε þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Uliveri and Cannizzaro (1985)
7.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
ε þ A 4
Δε
ε
þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Sobrino et al. (1994)
8.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
ð1 À εÞ þ A 4
Δε þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Ulivieri et al. (1992)
9.
T s
¼ C þ A 1
T 11
þ A 2
T 11
À T 12
ð
ÞþA 3
T 11
À T 12
ð
ÞT 11
À T 12
ð
Þ
þ A 4 1
À ε 11
ð
ÞþA 5
Δε þ D T 11
À T 12
ð
Þ ð sec
θ À 1Þ
Sobrino et al. (1993)
Each algorithm is composed of two parts: the base split window algorithm and path length correction (the last term in each algorithm). The base split window
algorithms are adapted from these published split window algorithms as referred in the references, while the path length term is particularly added for
additional atmospheric correction
a
Note:
T 11 and
T 12 represent the top-of-atmosphere brightness temperatures of GOES Imager channels 14 and 15, respectively;
ε ¼ (ɛ
11 +
ɛ 12 )/2 and
Δε ¼ (ɛ
11
À ɛ 12 ), where
ɛ 11 and
ɛ 12 are the spectral emissivity values of the land surface at GOES Imager channels 14 and 15, respectively; and
θ is the
satellite view zenith angle
19 Land Surface Temperature (LST) Retrieval from GOES Satellite Observations
303