Suits reflectance models for wheat and cotton: theoretical and experimental tests

J. E. Chance; E. W. LeMaster

doi:10.1364/AO.16.000407

Applied Optics
Vol. 16,
Issue 2,
pp. 407-412
(1977)
•https://doi.org/10.1364/AO.16.000407

Suits reflectance models for wheat and cotton: theoretical and experimental tests

J. E. Chance and E. W. LeMaster

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J. E. Chance and E. W. LeMaster, "Suits reflectance models for wheat and cotton: theoretical and experimental tests," Appl. Opt. 16, 407-412 (1977)

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Abstract

Plant canopy reflectance models developed by Suits are tested for cotton and Penjamo winter wheat. Properties of the models are discussed, and the concept of model depth is developed. The models’ predicted exchange symmetry for specular irradiance with respect to sun polar angle and observer polar angle agreed with field data for cotton and wheat. Model calculations and experimental data for wheat reflectance vs sun angle disagreed. Specular reflectance from 0.50 μm to 1.10 μm shows fair agreement between the model and wheat measurements. An Appendix includes the physical and optical parameters for wheat necessary to apply Suits’ models.

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Crop	Sun (polar, azi.)	Interchange Obs. (polar, azi.)	Wavelength	Reflectance
Cotton	(6°, 180°)	(45°, 270)	850	0.42 ± 0.03
Cotton	(45°, 270)	(6°, 90°)	850	0.40 ± 0.03
Cotton	(6°, 180°)	(45°, 270°)	500	0.028 ± 0.002
Cotton	(45°, 270°)	(6°, 90°)	500	0.024 ± 0.002
Wheat	(18°, 180°)	(45°, 360°)	850	0.40 ± 0.03
Wheat	(40°, 250°)	(15°, 70°)	850	0.46 ± 0.03
Wheat	(18°, 109°)	(18°, 330°)	500	0.039 ± 0.002
Wheat	(39°, 109°)	(18°, 360°)	500	0.036 ± 0.002

Layer 1 (1) Wheat heads—component 1		Depth = 0.09 m
σ_h = 0.000369 m²	n_h = 6170 m⁻³
σ_ν = 0.001015 m²	n_ν = 6170 m⁻³
Layer 2 (1) Green leaves—component 1		Depth = 0.20 m
σ_h = 0.00144 m²	n_h = 4360 m⁻³
σ_ν = 0.00107 m²	n_ν = 4360 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.0006 m²	n_ν = 2780 m⁻³
Layer 3 (1) Green–brown leaves—component 1		Depth = 0.10 m
σ_h = 0.00148 m²	n_h = 8330 m⁻³
σ_ν = 0.000872 m²	n_ν = 8330 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.0003 m²	n_ν = 5550 m⁻³
Layer 4 (1) Brown leaves—component 1		Depth = 0.12 m
σ_h = 0.000259 m²	n_h = 12,350 m⁻³
σ_ν = 0.0000646 m²	n_ν = 12,350 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.00048 m²	n_ν = 4360 m⁻³

3/9/76 and 3/11/76			Penjamo wheat—March 1976

	Heads		Green leaves		Green brown leaves		Brown leaves		Stems		Weslaco soil	Eagle Pass soil
λ	ρ	τ	ρ	τ	ρ	τ	ρ	τ	ρ	τ	ρ	ρ
500	0.243	0.001	0.135	0.043	0.234	0.124	0.225	0.056	0.273	0.001	0.116	0.129
550	0.310	0.001	0.162	0.080	0.316	0.218	0.292	0.102	0.360	0.010	0.126	0.160
600	0.305	0.001	0.128	0.041	0.287	0.194	0.360	0.148	0.315	0.001	0.162	0.176
650	0.277	0.001	0.109	0.019	0.254	0.141	0.411	0.187	0.261	0.001	0.178	0.222
700	0.482	0.022	0.336	0.243	0.440	0.343	0.455	0.230	0.559	0.060	0.198	0.203
750	0.551	0.012	0.495	0.404	0.506	0.390	0.491	0.256	0.651	0.099	0.370	0.294
800	0.558	0.055	0.504	0.413	0.506	0.396	0.519	0.275	0.653	0.100	0.436	0.293
850	0.555	0.055	0.502	0.416	0.503	0.399	0.534	0.288	0.650	0.099	0.389	0.306
900	0.542	0.053	0.498	0.417	0.503	0.401	0.540	0.296	0.639	0.092	0.402	0.329
950	0.502	0.032	0.494	0.417	0.499	0.402	0.543	0.298	0.612	0.072	0.358	0.348
1000	0.521	0.050	0.495	0.424	0.500	0.406	0.545	0.305	0.629	0.091	0.324	0.397
1050	0.528	0.056	0.489	0.428	0.494	0.411	0.543	0.306	0.628	0.099	0.378	0.376
1100	0.501	0.045	0.484	0.422	0.490	0.405	0.544	0.309	0.608	0.086	0.461	0.333

Crop	Sun (polar, azi.)	Interchange Obs. (polar, azi.)	Wavelength	Reflectance
Cotton	(6°, 180°)	(45°, 270)	850	0.42 ± 0.03
Cotton	(45°, 270)	(6°, 90°)	850	0.40 ± 0.03
Cotton	(6°, 180°)	(45°, 270°)	500	0.028 ± 0.002
Cotton	(45°, 270°)	(6°, 90°)	500	0.024 ± 0.002
Wheat	(18°, 180°)	(45°, 360°)	850	0.40 ± 0.03
Wheat	(40°, 250°)	(15°, 70°)	850	0.46 ± 0.03
Wheat	(18°, 109°)	(18°, 330°)	500	0.039 ± 0.002
Wheat	(39°, 109°)	(18°, 360°)	500	0.036 ± 0.002

Layer 1 (1) Wheat heads—component 1		Depth = 0.09 m
σ_h = 0.000369 m²	n_h = 6170 m⁻³
σ_ν = 0.001015 m²	n_ν = 6170 m⁻³
Layer 2 (1) Green leaves—component 1		Depth = 0.20 m
σ_h = 0.00144 m²	n_h = 4360 m⁻³
σ_ν = 0.00107 m²	n_ν = 4360 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.0006 m²	n_ν = 2780 m⁻³
Layer 3 (1) Green–brown leaves—component 1		Depth = 0.10 m
σ_h = 0.00148 m²	n_h = 8330 m⁻³
σ_ν = 0.000872 m²	n_ν = 8330 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.0003 m²	n_ν = 5550 m⁻³
Layer 4 (1) Brown leaves—component 1		Depth = 0.12 m
σ_h = 0.000259 m²	n_h = 12,350 m⁻³
σ_ν = 0.0000646 m²	n_ν = 12,350 m⁻³
(2) Stems—component 2
σ_h = 0 m²	n_h = 0 m⁻³
σ_ν = 0.00048 m²	n_ν = 4360 m⁻³

Abstract

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Applied Optics