When parallel light comes into foliage, a part of it is scattered by reflection and transmission of leaves. A foliage exposed to parallel light is divided into two parts: 1) sunlit part receiving both parallel and scattered light and 2) shaded part receiving only scattered light. Leaves of foliage were assumed to be inclined at a fixed angle (α) against the horizontal, and distributed at random as to leaf position and angle of leaf orientation (β).
The gross photosynthesis of a foliage (
Pt) exposed only to parallel light with a constant angle of incidence (θ) was calculated by the author's method
4, 5), for a horizontal-leaf (α=0°), an oblique-leaf (α=45°) and a vertical-leaf (α=90°) foliage (LAI=5 and 10). On the other hand, the gross photosynthesis of a foliage under isotropic light conditions (
P) was calculated by using the equation given by MONSI and SAEKI
6), and the results were compared with
Pt.
1) Mean gross photosynthesis
pd of sunlit part at
F (cumulative leaf area index)=0.
When (π/2-θ)≥α, exposure of leaves to a parallel light in sunlit part is limited to adaxial leaf surface for any β value. When (π/2-θ)<α, the sunlit part is exposed adaxially in the range of β≤π/2+sin
-1 (cotα·cotθ), and abaxially in the range of β>π/2+sin
-1 (cotα cotθ).
pd was calculated as the average for β ranging from 0 to π.
θ-
pd relation was considered for fixed values of
ID (intensity of incident parallel light on a plane perpendicular to the rays).……The increment of θ decreases
pd when (π/2-θ)≥α, and increases
pd when (π/2-θ)<α. Furthermore, the θ-
pd relation was discussed also for the light condition where the value of
I (horizontal intensity of incident parallel light) is kept at a fixed by varying the θ value according to the change of
ID as shown by
I=ID cosθ.
2) Relationships between θ and
Pt under constant
ID.
When α=0°, the increment of θ diminishes the intensity of light received by leaves both in sunlit and shaded parts, and hence reduces
Pt. When α=90°, however,
Pt has its maximum at a certain value of θ which becomes somewhat small with increasing
ID and LAI. This variation of θ giving the maximum
Pt depends theoretically upon the ratio in area between the sunlit and the shaded part and upon the photo-synthetic rate in each part. The decreasing tendency of
Pt at α=45°with increment of θ is similar to that at α=0°in the θ range of 0°to about 30°, and similar to that at α=90°in the θ range of about 60°to 90°.
3)
I(=
IDcosθ)-
Pt curves under constant
ID or under constant θ.
When α=0°,
Pt is fixed for a constant value of
I, even if
I is given by any combination of
ID and θ. When α=45°and 90°,
I-Pt curves under a constant value of
ID are different from those under a constant value of θ.
From these curves, θ-
Pt relation was deduced for the light condition of fixed
I values which are decided by changing the θ value according to the variation of
ID.
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