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Inclusion of the Fractal Dimension of Leafless Plant Structure in the Beer-Lambert Law

Department of Plant Science, McGill University, Macdonald Campus, 21,111 Lakeshore, Ste-Anne-de-Bellevue, Quebec, Canada H9X 3V9

View larger version (28K): [in a new window]   Fig. 1. Images of two soybean plants (a, c) with their corresponding leafless structure (b, d). The plants are from canopies with LAIs of 4.18 (a) and 4.14 (c). Light penetrations (% per plant) are 11.0 (a) and 17.8 (c), and fractal dimensions of leafless structure are 1.45 (b) and 1.37 (d), respectively

View larger version (20K): [in a new window]   Fig. 2. Major axis regressions fitted to each week of data separately, using Eq. [3] (a–e) and Eq. [4] (f–j). Two points overlap one another in panel e. Note that the regressor is random in a major axis regression, whereas it is fixed in a classical regression. See text (Materials and Methods section) for details about the estimation of the slope in a major axis regression without intercept. Light penetration [(I/I0) x 100] is expressed as a percentage per plant

View larger version (24K): [in a new window]   Fig. 3. Major axis regressions fitted to the weekly means calculated across blocks, using Eq. [3] (a) and Eq. [4] (b), and to the block means calculated across weeks, using Eq. [3] (c) and Eq. [4] (d). See text (Materials and Methods section) for details