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Growth of a tree with allocations rules: part 2 dynamics

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

 Following up on a previous work (Bui and Leoncini in Eur Phys J B 92, 2019) we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous to what plants are subjected to. We study how different resource allocation schemes affect the tree and how the schemes interact with additional factors such as embedding the network into a 3D space and applying gravity or shading. The different outcomes are discussed.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: A basic Fortran code simulating a tree growth which follows the rules described in the paper is accessible at https://github.com/Obui204/Tree. Any other data is available upon request.]

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Authors and Affiliations

  1. Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

    Olivier Bui & Xavier Leoncini

Authors
  1. Olivier Bui
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  2. Xavier Leoncini
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Contributions

O. Bui conducted all calculations made in the paper, X. Leoncini devised the initial model and wrote the first version of the code for the initial model introduced in [1] and studied in the present paper. Both authors discussed the research at its various stages, and both contributed to the writing of the manuscript.

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Correspondence to Olivier Bui.

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Bui, O., Leoncini, X. Growth of a tree with allocations rules: part 2 dynamics. Eur. Phys. J. B 94, 3 (2021). https://doi.org/10.1140/epjb/s10051-020-00020-8

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  • DOI: https://doi.org/10.1140/epjb/s10051-020-00020-8

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