Environmental Engineering Reference
In-Depth Information
Table 19.2
List of some split window LST algorithms
No.
Formula
a
Reference
T
11
þ T
12
A
1
þ A
2
1
ε
ε
þ A
3
Δε
ε
Wan and Dozier (
1996
), Becker and Li (
1990
)
1.
T
s
¼C þ
ð
Þ
2
T
11
T
12
A
4
þ A
5
1
ε
ε
þ A
6
Δε
ε
þ
ð
Þ þDT
11
T
12
ð
Þð
sec
θ
1
Þ
2
T
s
¼ C þ A
1
T
11
ε
þ A
2
T
12
ε
þ A
3
1
ε
þDT
11
T
12
Prata and Platt (
1991
), modified by Caselles et al. (
1997
)
2.
ð
Þð
sec
θ
1
Þ
3.
T
s
¼C þ A
1
T
11
þ A
2
T
11
T
12
ð
Þ þ A
3
1
ð
ε
11
Þ A
4
Δε
Coll and Valor (1997)
þDT
11
T
12
ð
Þð
sec
θ
1
Þ
Þ þ A
3
1
ε
þ A
4
Δε
T
s
¼ C þ A
1
T
11
þ A
2
T
11
T
12
ð
þDT
11
T
12
ð
Þð
sec
θ
1
Þ
Vidal (
1991
)
4.
ε
2
5.
T
s
¼C þ A
1
T
11
þ A
2
T
11
T
12
ð
Þ þ A
3
T
11
T
12
ð
Þε
11
Price (
1984
)
þ A
4
T
12
Δε þDT
11
T
12
ð
Þð
sec
θ
1
Þ
6.
T
s
¼ C þ A
1
T
11
þ A
2
T
11
T
12
ð
Þ þ A
3
ε þDT
11
T
12
ð
Þð
sec
θ
1
Þ
Uliveri and Cannizzaro (1985)
Þ þ A
3
ε þ A
4
Δε
ε
7.
T
s
¼C þ A
1
T
11
þ A
2
T
11
T
12
ð
Sobrino et al. (
1994
)
þDT
11
T
12
ð
Þð
sec
θ
1
Þ
8.
T
s
¼ C þ A
1
T
11
þ A
2
T
11
T
12
ð
Þ þ A
3
ð
1
εÞþA
4
Δε þDT
11
T
12
ð
Þð
sec
θ
1
Þ
Ulivieri et al. (
1992
)
Sobrino et al. (
1993
)
9.
T
s
¼C þ A
1
T
11
þ A
2
T
11
T
12
ð
Þ þ A
3
T
11
T
12
ð
Þ T
11
T
12
ð
Þ
þ A
4
1
ð
ε
11
Þ A
5
Δε þDT
11
T
12
ð
Þð
sec
θ
1
Þ
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
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
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