Evaluation of methods for estimating atmospheric emissivity in Mato-Grossense Cerrado

Silva, Jonh Billy; Gaio, Denilton Carlos; Curado, Leone Francisco Amorim; Nogueira, José de Souza; Valle Júnior, Luiz Claudio Galvão; Rodrigues, Thiago Rangel

doi:10.4136/ambi-agua.2288

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ARTICLES • Rev. Ambient. Água 14 (3) • 2019 • https://doi.org/10.4136/ambi-agua.2288 copy

Evaluation of methods for estimating atmospheric emissivity in Mato-Grossense Cerrado

Avaliação de métodos para estimativa da emissividade atmosférica no cerrado Mato-Grossense

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

This study analyzed the performance of the Brunt (1932)BRUNT, D. Notes on radiation in the atmosphere. I. Quarterly Journal of the Royal Meteorological Society, v. 58, n. 247, p. 389-420, 1932. https://doi.org/10.1002/qj.49705824704
https://doi.org/10.1002/qj.49705824704... , Swinbank (1963)SWINBANK, W. C. Long-Wave Radiation from clear skies. Quarterly Journal of the Royal Meteorological Society, v. 89, n. 381, p. 339-348, 1963. https://doi.org/10.1002/qj.49708938105
https://doi.org/10.1002/qj.49708938105... , Idso and Jackson (1969)IDSO, S. B.; JACKSON, R. D. Thermal radiation from the atmosphere. Journal Geophysical Research, v. 74, n. 23, p. 5397-5403, 1969. https://doi.org/10.1029/JC074i023p05397
https://doi.org/10.1029/JC074i023p05397... , Brutsaert (1975)BRUTSAERT, W. On a derivable formula for long-wave radiation from clear skies. Water Resources Research, v. 11, n. 5, p. 742-744, 1975. https://doi.org/10.1029/WR011i005p00742
https://doi.org/10.1029/WR011i005p00742... , Idso (1981)IDSO, S. B. A set of equations for full spectrum and 8 to 14 ìm and 10.5 to 12.5 μm thermal radiation from cloudless skies. Water Resources Research, v. 17, n. 2, p. 295 304, 1981. https://doi.org/10.1029/WR017i002p00295
https://doi.org/10.1029/WR017i002p00295... , and Bignami et al. (1995)BIGNAMI, F.; MARULLO, S.; SANTOLERI, R.; SCHIANO, M. E. Longwave radiation budget in the Mediterranean Sea. Journal of Geophysical Research, v. 100, n. C2, p. 2501-2514, 1995. https://doi.org/10.1029/94JC02496
https://doi.org/10.1029/94JC02496... methods to estimate atmospheric emissivity under grass-dominated savannas (known as campo sujo Cerrado), in the region of Baixada Cuiabana. The estimates were compared with data obtained by energy balance equation in two seasons, dry season (May to August), and wet season (September to December) of 2009. The Swinbank and Idso and Jackson methods, that consider only air temperature, show better performances for the wet season. However, methods that consider water vapor pressure and air temperature (Brunt, Brutsaert, Bignami and Idso) show good performances for the dry season. The Idso and Brutsaert methods show the highest index of agreement and are recommended to estimate atmospheric emissivity for the region.

Keywords:
air temperature; campo sujo Cerrado; water vapor pressure

Model	Equation
Brunt (1932)	ε = $0,52 + 0,065 \sqrt{e_{a}}$
Swinbank (1963)	ε = $9,2 . 10^{- 6} {T_{a r}}^{2}$
Idso and Jackson (1969)	ε = $1 - 0,26 e x p [- 7,77 . 10^{- 4} (273 - T_{a r})]$
Brutsaert (1975)	ε = $1,24 {(e_{a} / T_{a r})}^{1 / 7}$
Idso (1981)	ε = $0,7 + 5,95 . 10^{- 5} e_{a} e x p (1500 / T_{a r})$
Bignami (1995)	ε = $0,684 + 0,0056 e_{a}$

Dry season
	May			June			July			August
	Min	Avg	Max	Min	Avg	Max	Min	Avg	Max	Min	Avg	Max
BE	0.93	0.98	1.06	0.88	0.95	1.05	0.88	0.94	1.00	0.86	0.93	1.08
IJ	0.79	0.85	0.87	0.80	0.84	0.86	0.76	0.84	0.87	0.74	0.83	0.89
SW	0.77	0.82	0.84	0.78	0.82	0.84	0.74	0.82	0.84	0.69	0.80	0.86
BT	0.84	0.88	0.91	0.82	0.87	0.91	0.82	0.86	0.91	0.80	0.83	0.89
BR	0.80	0.90	0.94	0.82	0.89	0.93	0.76	0.90	0.94	0.81	0.92	0.98
BG	0.77	0.83	0.85	0.78	0.82	0.85	0.76	0.81	0.84	0.77	0.80	0.84
ID	0.83	0.90	0.94	0.84	0.89	0.94	0.84	0.87	0.92	0.82	0.85	0.93
Wet Season
	September			October			November			December
	Min	Avg	Max	Min	Avg	Max	Min	Avg	Max	Min	Avg	Max
BE	0.89	1.03	1.11	0.97	1.04	1.09	0.92	1.04	1.12	0.85	1.03	1.09
IJ	0.80	0.86	0.90	0.85	0.87	0.89	0.83	0.86	0.88	0.83	0.87	1.00
SW	0.82	0.83	0.87	0.84	0.84	0.86	0.87	0.84	0.85	0.88	0.71	0.84
BT	0.81	0.86	0.90	0.90	0.87	0.89	0.86	0.88	0.91	0.69	0.76	0.91
BR	0.78	0.92	1.00	0.83	0.93	0.98	0.84	0.93	0.96	0.68	0.88	0.94
BG	0.78	0.82	0.85	0.82	0.85	0.87	0.82	0.86	0.87	0.82	0.83	0.87
ID	0.84	0.88	0.90	0.88	0.91	0.89	0.91	0.93	0.88	0.92	0.80	1.00

Dry season
Method	MAD	MSE	R²	d	r	Classification	c	Performance
Idso and Jackson	-0.07	0.22	0.93	0.32	0.33	Intermediate	0.11	Very Poor
Swinbank	-0.09	0.22	0.93	0.38	0.41	Intermediate	0.15	Very Poor
Brutsaert	-0.09	0.20	0.94	0.72	0.59	High	0.42	Poor
Brunt	-0.05	0.20	0.95	0.71	0.55	High	0.39	Very Poor
Bignami	-0.13	0.22	0.93	0.68	0.59	High	0.40	Very Poor
Idso	-0.07	0.19	0.95	0.73	0.59	High	0.43	Poor
Wet season
Method	MAD	MSE	R²	d	r	Classification	c	Performance
Idso and Jackson	-0.09	0.18	0.96	0.31	0.31	Intermediate	0.09	Very Poor
Swinbank	-0.12	0.27	0.89	0.18	-0.12	Low	-0.02	Very Poor
Brutsaert	-0.10	0.24	0.92	0.16	-0.17	Low	-0.03	Very Poor
Brunt	-0.10	0.24	0.92	0.16	-0.17	Low	-0.03	Very Poor
Bignami	-0.10	0.20	0.94	0.26	-0.07	Very Low	-0.02	Very Poor
Idso	-0.08	0.22	0.94	0.16	-0.16	Low	-0.02	Very Poor

Instituto de Pesquisas Ambientais em Bacias Hidrográficas Instituto de Pesquisas Ambientais em Bacias Hidrográficas (IPABHi), Estrada Mun. Dr. José Luis Cembranelli, 5000, Taubaté, SP, Brasil, CEP 12081-010 - Taubaté - SP - Brazil
E-mail: ambi.agua@gmail.com

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[1] ^*Corresponding author: Thiago Rangel Rodrigues, e-mail: thiago.r.rodrigues@ufms.br