Fractal Analysis of Trunk Bark in Relation to Age of Trees: Case Study in Plum

Florin SALA, Marius BOLDEA


The fractal geometry of bodies’ represents genuine bar codes of the fractal type which, once deciphered, offer stable and trustworthy information on the status and characteristics of the respective bodies. Bark Fractal Tree Age (BFTA) Method presents a non-destructive alternative for the evaluation of the age of trees based on the fractal characteristics of the geometry of trunk bark. Fractal analysis was performed for the trunk bark of plums, set in age categories between 10 and 50 years.  Negative correlation was identified between the fractal dimensions (D) of trunk bark geometry and the age of trees, with statistical certainty (R2 = - 0.856; p<0.01). The variation coefficient (CV) indicated variable dynamics of fractal dimensions in relation to the age of trees, with high values in the case of young trees (CV = 0.256 to 0.502 for age groups between 10 and 20 years) and lower values for old trees (CV = 0.165 to 0.210 for age groups from 40 to 50 years). The BFTA Method was used for obtaining a prediction model for the age of trees based on fractal dimensions, with high statistical certainty (p<0.01; R2 = 0.738 for the age group from 10 to 40 years, RMSE = 0.882 to 7.046 and R2 = 0.971 for a shorter interval, namely 20 to 40 years, RMSE = 0.387 to 1.636). Fractal analysis is a tool for developing non-destructive methods for analyzing the dynamics of trunk geometry and ages of trees.


bark; BFTA Method; fractal geometry; plum age; trunk

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