On the fractal dimensions of a root system

Abstract

Several attempts have been made to apply the principles of fractal geometry to the description of root systems. However, fractal analysis of a real plant root system that maintains its original three-dimensional structure has not been performed to date. An intact root system of a dwarf tomato plant was embedded in gelatin and cut into 3 mm slices. Image analysis was used to collect the data required for determination of three-dimensional and planar fractal dimensions. It was found that the root system has characteristics of a fractal object. The variation of the planar fractal dimension of horizontal and vertical planes intersecting the root system was shown, and their maxima were found to correspond with maximal root proliferation. These results open the way for further application of fractal analysis in root research.