論文

2018年8月

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

NEW JOURNAL OF PHYSICS
  • Yohsuke Murase
  • ,
  • Per Arne Rikvold

20
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/1367-2630/aad861
出版者・発行元
IOP PUBLISHING LTD

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 similar to those in the BS model. To clarify the origin of these differences and to identify a key ingredient of SOC, we study models that bridge the BS model and the dynamical graph model, which is a representative of the population dynamics models. From a comparative study of the models, we find that SOC is found when the fluctuations of the number of species N are suppressed, while it shows off-critical states when N changes according to its evolutionary dynamics. This indicates that the assumption of the fixed system size in the BS model plays a pivotal role to drive the system into an SOC state, and casts doubt on its applicability to actual evolutionary dynamics.


リンク情報
DOI
https://doi.org/10.1088/1367-2630/aad861
arXiv
http://arxiv.org/abs/arXiv:1808.03488
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000442015200002&DestApp=WOS_CPL
URL
http://arxiv.org/abs/1808.03488v1
URL
http://arxiv.org/pdf/1808.03488v1 本文へのリンクあり
ID情報
  • DOI : 10.1088/1367-2630/aad861
  • ISSN : 1367-2630
  • arXiv ID : arXiv:1808.03488
  • Web of Science ID : WOS:000442015200002

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