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  1. A500 情報学部/情報学研究科・情報文化学部・情報科学研究科
  2. A500a 雑誌掲載論文
  3. 学術雑誌

Relative species abundance of replicator dynamics with sparse interactions

http://hdl.handle.net/2237/25586
http://hdl.handle.net/2237/25586
dc253695-60a9-463e-96ca-53e27bd552ab
名前 / ファイル ライセンス アクション
paper-1refd.pdf paper-1refd.pdf ファイル公開:2017/11/16 (494.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2017-02-16
タイトル
タイトル Relative species abundance of replicator dynamics with sparse interactions
言語 en
著者 Obuchi, Tomoyuki

× Obuchi, Tomoyuki

WEKO 69378

en Obuchi, Tomoyuki

Search repository
Kabashima, Yoshiyuki

× Kabashima, Yoshiyuki

WEKO 69379

en Kabashima, Yoshiyuki

Search repository
Tokita, Kei

× Tokita, Kei

WEKO 69380

en Tokita, Kei

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 “This is an author-created, un-copyedited version of an article accepted for publication/published in [Journal of Statistical Mechanics: Theory and Experiment]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at [http://doi.org/10.1088/1742-5468/2016/11/113502]”
抄録
内容記述 A theory of relative species abundance on sparsely-connected networks is presented by investigating the replicator dynamics with symmetric interactions. Sparseness of a network involves difficulty in analyzing the fixed points of the equation, and we avoid this problem by treating large self interaction u, which allows us to construct a perturbative expansion. Based on this perturbation, we find that the nature of the interactions is directly connected to the abundance distribution, and some characteristic behaviors, such as multiple peaks in the abundance distribution and all species coexistence at moderate values of u, are discovered in a wide class of the distribution of the interactions. The all species coexistence collapses at a critical value of u, u c , and this collapsing is regarded as a phase transition. To get more quantitative information, we also construct a non-perturbative theory on random graphs based on techniques of statistical mechanics. The result shows those characteristic behaviors are sustained well even for not large u. For even smaller values of u, extinct species start to appear and the abundance distribution becomes rounded and closer to a standard functional form. Another interesting finding is the non-monotonic behavior of diversity, which quantifies the number of coexisting species, when changing the ratio of mutualistic relations Δ . These results are examined by numerical simulations, which show that our theory is exact for the case without extinct species, but becomes less and less precise as the proportion of extinct species grows.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 IOP publishing
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1088/1742-5468/2016/11/113502
ISSN
収録物識別子タイプ PISSN
収録物識別子 0913-5685
書誌情報 en : Journal of Statistical Mechanics: Theory and Experiment

巻 2016, p. 113502-113502, 発行日 2016-11-16
著者版フラグ
値 author
URI
識別子 https://doi.org/10.1088/1742-5468/2016/11/113502
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/25586
識別子タイプ HDL
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