Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny
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 root...
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Facultad de Ciencias Agrarias-UNCuyo
2019
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| Acceso en línea: | https://revistas.uncu.edu.ar/ojs3/index.php/RFCA/article/view/2617 |
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I11-R107article-26172020-04-22T13:37:49Z Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny Alonso, Juan M. Alvarez, Juan Agustín Vega Riveros, Cecilia Pablo, Villagra dimensión fractal dimensión finita (de Hausdorff) arquitectura de plantas desarrollo de plantas fractal dimension finite (Hausdorff) dimension plant architecture plant development 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. 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. Facultad de Ciencias Agrarias-UNCuyo 2019-12-09 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uncu.edu.ar/ojs3/index.php/RFCA/article/view/2617 Revista de la Facultad de Ciencias Agrarias UNCuyo; Vol. 51 No. 2 (2019): July-December; 142-153 Revista de la Facultad de Ciencias Agrarias UNCuyo; Vol. 51 Núm. 2 (2019): Julio-Diciembre; 142-153 1853-8665 0370-4661 eng https://revistas.uncu.edu.ar/ojs3/index.php/RFCA/article/view/2617/1946 Derechos de autor 2019 Revista de la Facultad de Ciencias Agrarias UNCuyo |
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Universidad Nacional de Cuyo |
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Revistas en línea |
| filtrotop_str |
Revistas en línea |
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Revista de la Facultad de Ciencias Agrarias |
| journal_title_str |
Revista de la Facultad de Ciencias Agrarias |
| institution_str |
I-11 |
| repository_str |
R-107 |
| language |
eng |
| format |
Online |
| author |
Alonso, Juan M. Alvarez, Juan Agustín Vega Riveros, Cecilia Pablo, Villagra |
| spellingShingle |
Alonso, Juan M. Alvarez, Juan Agustín Vega Riveros, Cecilia Pablo, Villagra Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny dimensión fractal dimensión finita (de Hausdorff) arquitectura de plantas desarrollo de plantas fractal dimension finite (Hausdorff) dimension plant architecture plant development |
| author_facet |
Alonso, Juan M. Alvarez, Juan Agustín Vega Riveros, Cecilia Pablo, Villagra |
| author_sort |
Alonso, Juan M. |
| title |
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny |
| title_short |
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny |
| title_full |
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny |
| title_fullStr |
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny |
| title_full_unstemmed |
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny |
| title_sort |
finite (hausdorff) dimension of plants and roots as indicator of ontogeny |
| description |
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. |
| publisher |
Facultad de Ciencias Agrarias-UNCuyo |
| publishDate |
2019 |
| url |
https://revistas.uncu.edu.ar/ojs3/index.php/RFCA/article/view/2617 |
| topic |
dimensión fractal dimensión finita (de Hausdorff) arquitectura de plantas desarrollo de plantas fractal dimension finite (Hausdorff) dimension plant architecture plant development |
| topic_facet |
dimensión fractal dimensión finita (de Hausdorff) arquitectura de plantas desarrollo de plantas fractal dimension finite (Hausdorff) dimension plant architecture plant development |
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AT alonsojuanm finitehausdorffdimensionofplantsandrootsasindicatorofontogeny AT alvarezjuanagustin finitehausdorffdimensionofplantsandrootsasindicatorofontogeny AT vegariveroscecilia finitehausdorffdimensionofplantsandrootsasindicatorofontogeny AT pablovillagra finitehausdorffdimensionofplantsandrootsasindicatorofontogeny |
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1800220880072081408 |
