Penetration of sunlight into a canopy: Explicit models based on vertical and horizontal leaf projections

Abstract

The projections of leaf areas onto a horizontal plane and onto a vertical plane are examined for their utility in characterizing canopies for sunlight penetration (direct beam only) models. These projections exactly specify the penetration if the projections on the principal plane of the normals to the top surfaces of the leaves are in the same quadrant as the Sun. Inferring the total leaf area from these projections (and therefore the penetration as a function of the total leaf area) is possible only with a large uncertainty (up to ±32%) because the projections are a specific measure of the total leaf area only if the leaf angle distribution is known. It is expected that this uncertainty could be reduced to more acceptable levels by making an approximate assessment of whether the zenith angle distribution is that of an extremophile canopy. An extremophile canopy would have the maximum leaf area possible for given set of projections. Simple leaf projection measurements would then become a practical substitute for detailed measurements of the leaf angle distribution. This is not true if for a fraction of the canopy, the leaf normal projections fall in the non-solar quadrant. In this case, accurate and detailed information about the leaf orientation is required for assessing the penetration; the horizontal and vertical projections are inadequate for this purpose.