Box-counting dimension revisited: presenting an efficient method of minimising quantisation error and an assessment of the self-similarity of structural root systems

• Published in: Frontiers in plant science Vol. 7
• Main Authors: Martin eBouda, Joshua S Caplan, James Edward Saiers
• Format: Journal Article
• Language: English
• Published: Frontiers Media S.A 01.02.2016
• Subjects: fractal dimension; MATLAB code; Numerical Optimisation; Plant root growth; Root system architecture; self-similarity

Fractal dimension (FD), estimated by box-counting, is a metric used to characterise plant anatomical complexity or space-filling characteristic for a variety of purposes. The vast majority of published studies fail to evaluate the assumption of statistical self-similarity, which underpins the validi...