Conservation of population size is required for self-organized criticality in evolution models

@article{Murase2018ConservationOP,
  title={Conservation of population size is required for self-organized criticality in evolution models},
  author={Yohsuke Murase and Per Arne Rikvold},
  journal={arXiv: Populations and Evolution},
  year={2018}
}
We study models of biological evolution and investigate a key factor to yield self-organized criticality (SOC). The Bak-Sneppen (BS) model is the most basic model that shows an SOC state, which is developed based on minimal and plausible assumptions of Darwinian competition. Another class of models, which have population dynamics and simple rules for species migrations, has also been studied. It turns out that they do not show an SOC state although the assumptions made in these models are… 
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