Quantifying scale-free behaviors in Rock-Paper-Scissors Models as a function of Mobility
Populations and Evolution
2025-05-08 v1
Abstract
We investigate the scale-free behavior of the spatial rock-paper-scissors model with May-Leonard dynamics, analyzing specific quantifiers that engender the power-law feature. The main results show that an important parameter that drives the scale-free behavior is the mobility, which can be used to quantitatively describe several scale-free aspects of the model, such as the number of clusters, the characteristic length, the individuals' lifespan and its corresponding mean traveled distance. All of these are novel quantifiers of current practical interest for the study of biodiversity.
Cite
@article{arxiv.2504.14691,
title = {Quantifying scale-free behaviors in Rock-Paper-Scissors Models as a function of Mobility},
author = {D. Bazeia and M. Bongestab and M. J. B. Ferreira and B. F. de Oliveira and J. E. B. Santos},
journal= {arXiv preprint arXiv:2504.14691},
year = {2025}
}
Comments
7 pages, 6 figures, Version to appear in Physica A: Statistical Mechanics and its Applications