To estimate the sunlit leaf area in the broad leaf plant community, solidgeometrical arrangement of each leaf was measured, and this shape was projected on the plane vertical to the direction of sunlight, and the sunlit or shaded area were calculated by Monte Carlo method using computer CDC 3600.
Tobacco plant in maturing stage was used as a material for this study.
1) Preliminary tests were carried out to determine the required time of random number for hitting each leaflet.
One square and a inscribed triangle were assumed (area ratio : 0, 5) and this figure was hit by 10, 100, 1, 000 and 10, 000 random numbers and examined the preciseness of estimation by triangle area.
The results indicated that hitting 1, 000 times for each leaflet may be enough for estimation (Table 1) .
2) For each calculation solar azimuth and solar altitude were predetermined, and normal incident solar radiation was assumed as
I0 =1 cal/cm
2⋅ min.
3) Each leaf was divided into four to eight triangles, and each point of triangle was shown by
χ, y, z orthogonal coordinate. The bottom of the plant was chosen as the origin,
z as the vertical axis and
y axis directed east.
4)
χ, y, z coordinate axes were transformed to
X, Y, Z coordinate, here
Z axis directed to the sun from origin,
Y axis was vertical to
Z and on the
χ, y plane.
X axis was orthogonal to
Y and
Z.
5) Every triangle leaflet was projected on
X, Y plane and if we select a specific triangle A
i (
i=1, 2, ......), A
i may be shaded by other triangles B
j that have larger
Z value. If we indicate nonshaded area of A
i as a
i, total sunlit area will be shown as
nΣ
i=1a
i⋅ 1, 000 random numbers were produced to hit every triangle leaflet and a
i was estimated by the random number that reached A
i without disturbed by B
j. We could also judge the direction of the sunlight on the leaf surface or the lowersurface.
Monte Carlo method was adopted to estimate the sunlit leaf area of tobacco plants. The results indicate that this method will be promising to estimate the solar radiant accepted by many kinds of plant or plant community models.
Solidgeometrical arrangement of tobacco leaves and the model for this study were shown in Fig. 3. The leaf area of the model was about 77% of actual tobacco (Fig. 4) . Calculation was carried out in three cases, in which solar altitude was predeter-mined as 77°, 60°, and 30°.
Total solar radiant received by all leaflets was not so different in three cases and ranged 217-248 kcal/
h, but according to the change of solar altitude, the distribution of sunlit area varied by leaves of different stalk position. The variation was largest in the altitude of 77° (Fig. 5 and 6) .
Calculation showed that in the case of solar altitude of 30°, the leaves that arranged parallel to the direction of sunlight, occasionaly received the light on lower surface.
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