Light Relations in Plant Canopies

S. B. Idso; C. T. de Wit

doi:10.1364/AO.9.000177

Applied Optics
Vol. 9,
Issue 1,
pp. 177-184
(1970)
•https://doi.org/10.1364/AO.9.000177

Light Relations in Plant Canopies

S. B. Idso and C. T. de Wit

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S. B. Idso and C. T. de Wit, "Light Relations in Plant Canopies," Appl. Opt. 9, 177-184 (1970)

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Abstract

A theory of light relations in plant canopies is presented which has potential applications in remote sensing and photosynthetic modeling of plant canopies. Predictions of the model are compared with field measurements of light reflection and transmission in a corn crop. Both reflection at the top of the canopy and transmission at the bottom are predicted within 1% of the measured values. Profiles connecting these upper and lower limits are equally well approximated. Variations in the predictions with altitude angle of the sun are confirmed by the observation of several investigators.

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IS	S(J) for sin(LS)≤
IS	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
5	0.018	0.079	0.146	0.247	0.384	0.488	0.632	0.778	0.907	1.000
15	0.013	0.063	0.139	0.246	0.375	0.476	0.617	0.760	0.882	1.000
25	0.011	0.050	0.102	0.200	0.344	0.443	0.575	0.714	0.851	1.000
35	0.008	0.039	0.081	0.154	0.237	0.375	0.520	0.662	0.814	1.000
45	0.006	0.032	0.065	0.123	0.186	0.282	0.429	0.611	0.786	1.000
55	0.005	0.024	0.048	0.096	0.148	0.234	0.351	0.526	0.762	1.000
65	0.003	0.018	0.038	0.077	0.120	0.205	0.320	0.475	0.704	1.000
75	0.002	0.013	0.028	0.067	0.112	0.187	0.306	0.460	0.653	1.000
85	0.002	0.011	0.022	0.058	0.105	0.184	0.301	0.453	0.652	1.000

IS	FR(J) for sin(LS)≤
IS	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
5	0.145	0.164	0.108	0.116	0.123	0.076	0.089	0.078	0.061	0.039
15	0.111	0.142	0.129	0.130	0.122	0.078	0.092	0.081	0.061	0.053
25	0.101	0.120	0.096	0.129	0.147	0.083	0.093	0.085	0.074	0.072
35	0.081	0.105	0.085	0.106	0.094	0.128	0.113	0.096	0.091	0.100
45	0.066	0.096	0.073	0.092	0.078	0.097	0.125	0.134	0.114	0.125
55	0.060	0.076	0.057	0.082	0.069	0.093	0.108	0.139	0.166	0.150
65	0.038	0.064	0.051	0.071	0.061	0.099	0.113	0.132	0.172	0.199
75	0.027	0.049	0.040	0.074	0.067	0.091	0.122	0.137	0.151	0.243
85	0.027	0.041	0.030	0.070	0.071	0.097	0.122	0.137	0.158	0.248

Inclination in degrees	0	10	20	30	40	50	60	70	80	90
Relative contribution	0.030	0.087	0.133	0.163	0.174	0.163	0.133	0.087	0.030

IS	5	15	25	35	45	55	65
Diffuse skylight	0.000	0.027	0.056	0.082	0.109	0.122	0.150
Direct solar radiation	0.000	0.200	0.420	0.620	0.820	0.920	1.130

IS	S(J) for sin(LS)≤
IS	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
5	0.018	0.079	0.146	0.247	0.384	0.488	0.632	0.778	0.907	1.000
15	0.013	0.063	0.139	0.246	0.375	0.476	0.617	0.760	0.882	1.000
25	0.011	0.050	0.102	0.200	0.344	0.443	0.575	0.714	0.851	1.000
35	0.008	0.039	0.081	0.154	0.237	0.375	0.520	0.662	0.814	1.000
45	0.006	0.032	0.065	0.123	0.186	0.282	0.429	0.611	0.786	1.000
55	0.005	0.024	0.048	0.096	0.148	0.234	0.351	0.526	0.762	1.000
65	0.003	0.018	0.038	0.077	0.120	0.205	0.320	0.475	0.704	1.000
75	0.002	0.013	0.028	0.067	0.112	0.187	0.306	0.460	0.653	1.000
85	0.002	0.011	0.022	0.058	0.105	0.184	0.301	0.453	0.652	1.000

Abstract

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Figures (4)

Tables (4)

Equations (36)

Applied Optics