Local Fractal Dimensions and Multifractal Analysis of the Root System of Legumes

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概要

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• The fractal dimension(D) is the main concept of fractal geometry. D may have the potential to describe morphology in overall terms for root systems quantitatively. However, it is often difficult to discriminate root systems possessing a common D but having a different morphological appearance. We tested the potentiality of multifractal analysis as a tool for characterizing the morphology and architecture of root systems, and applied this method for discrimination of such root systems having similar Ds. We adopted mass fractal measure and determined Ds for small area(local fractal dimension, D_<local>)at different locations of root systems. The multifractal spectrum indicated that D_<local> varied with the location on the roots, suggesting that root systems possess a multifractal structure, the complexity is unevenly distributed, and its characteristic can be partly described with the D_<local> spectrum. The skewness and kurtosis of histogram of D_<local> varied among species, even when they possess root systems with a common D which was determined by the box-counting method as an overall morphology of the system(global D). The spectrum of D_<local> was further analyzed in relation to topological parameters. We found significant correlation between topological index and skewness as well as between topological index and kurtosis. These suggest that the variation of D_<local> spectrum can be an indication of variability of architecture in a locally restricted area of root system. The multifractal analysis can be applicable and it has a potential for discriminating and characterizing root systems having a common global D, but with different morphology.

• 日本作物学会の論文

著者

• Tatsumi Jiro

  Graduate School of Bioagricultural Sciences,Nagoya University

• Tatsumi Jiro

  Graduate School Of Bioagricultural Sciences Nagoya University

• Ketipearachchi Kalyani

  Graduate School of Science and Technology, Kobe University

• Ketipearachchi Kalyani

  Graduate School Of Science And Technology Kobe University

• Tatsumi Jiro

  Graduate School of Bioagricultural Science, Nagoya University

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