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Revista de la Facultad de Ciencias Agrarias. Universidad Nacional de Cuyo
Print version ISSN 1853-8665On-line version ISSN 1853-8665
Abstract
ALONSO, Juan M.; ALVAREZ, Juan Agustín; VEGA RIVEROS, Cecilia and VILLAGRA, Pablo E.. Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny. Rev. Fac. Cienc. Agrar., Univ. Nac. Cuyo [online]. 2019, vol.51, n.2, pp.142-153. ISSN 1853-8665.
The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for biology. We define a new finite (Hausdorff) dimension of plants, that considers both the aerial part and the roots, and compute examples. This new finite dimension was introduced recently and, in contrast to the classical Hausdorff dimension, is not zero on finite sets. We propose the finite dimension, as a function of time, as a "signature" of the plant or root. Our first results suggest that the signature is specific to each plant species and its growth period, and constitutes an objective metric that allows to study its ontogenesis in detail.
Keywords : Fractal dimension; Finite (Hausdorff) dimension; Plant architecture; Plant development.