Fractal analysis of leaves: Are all leaves self-similar along the cane?

Anna Gazda

Abstract

The fractal dimension can be used to quantify the shape of a natural curve. Curves with similar degrees of irregularity will tend to have the same fractal dimension. The fractal exponent describes the complexity of a shape and characterizes the scale-dependency of the pattern. This article presents an application of the fractal dimension in the analysis of leaves shape. In this paper I attempt to ask question if leaves of blackberry characterized by fractal dimension differ significantly in relation to the leaf ’s position along the cane. The fractal dimension of 49 leaves of blackberry from 8 primocanes, and 53 leaves from 19 lateral canes, from 9 individuals was estimated. The mean of D of a leaf is 1.12. There are no significant differences between D for leaves from two different cane types. Previous studies were focused on measurements of fractal dimension of leaves randomly chosen from one or a few individuals so there was necessity to measure fractal dimension all leaves growing along the same shoot, because usually leaf shape and size change more or less along a shoot. This research confirmed that fractal dimension is much more related to the shape complexity than to the size of leaves.
Author Anna Gazda (FoF / IoFB)
Anna Gazda,,
- Institute of Forest Biodiversity
Journal seriesEkologia-Bratislava: International Journal for Ecological Problems of the Biosphere , ISSN 1335-342X, (B 6 pkt)
Issue year2013
Vol32
No1
Pages104-110
Publication size in sheets0.5
Keywords in Englishthe fractal dimension, leaf morphology, blackberry
ASJC Classification2303 Ecology
DOIDOI:10.2478/eko-2013-0009
URL http://www.degruyter.com/view/j/eko.2013.32.issue-1/eko-2013-0009/eko-2013-0009.xml
Internal identifierWL/16/10
Languageen angielski
Score (nominal)6
Score sourcejournalList
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2013 = 0.57
Citation count*2 (2020-04-09)
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