Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions

Hingyan Cheng, Nan Yao, Junpyo Park, Younghae Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

41 Citations (Scopus)
4 Downloads (Pure)

Abstract

Evolutionary dynamical models for cyclic competitions of three species (e.g., rock, paper, and scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to address many issues in coexistence and biodiversity. Real ecosystems often involve competitions among more than three species. By extending the RPS game model to five (rock-paper-scissors-lizard-Spock, or RPSLS) mobile species, we uncover a fundamental type of mesoscopic interactions among subgroups of species. In particular, competitions at the microscopic level lead to the emergence of various local groups in different regions of the space, each involving three species. It is the interactions among the groups that fundamentally determine how many species can coexist. In fact, as the mobility is increased from zero, two transitions can occur: one from a five- to a three-species coexistence state and another from the latter to a uniform, single-species state. We develop a mean-field theory to show that, in order to understand the first transition, group interactions
at the mesoscopic scale must be taken into account. Our findings suggest, more broadly, the importance of mesoscopic interactions in coexistence of great many species.
Original languageEnglish
Article number7486
JournalScientific Reports
Volume4
DOIs
Publication statusPublished - 15 Dec 2014

Fingerprint

rocks
lizards
biodiversity
ecosystems

Cite this

Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions. / Cheng, Hingyan; Yao, Nan; Park, Junpyo; Do, Younghae; Lai, Ying-Cheng.

In: Scientific Reports, Vol. 4, 7486, 15.12.2014.

Research output: Contribution to journalArticle

Cheng, Hingyan ; Yao, Nan ; Park, Junpyo ; Do, Younghae ; Lai, Ying-Cheng. / Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions. In: Scientific Reports. 2014 ; Vol. 4.
@article{e4c8315707c94f66aa517183615c2182,
title = "Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions",
abstract = "Evolutionary dynamical models for cyclic competitions of three species (e.g., rock, paper, and scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to address many issues in coexistence and biodiversity. Real ecosystems often involve competitions among more than three species. By extending the RPS game model to five (rock-paper-scissors-lizard-Spock, or RPSLS) mobile species, we uncover a fundamental type of mesoscopic interactions among subgroups of species. In particular, competitions at the microscopic level lead to the emergence of various local groups in different regions of the space, each involving three species. It is the interactions among the groups that fundamentally determine how many species can coexist. In fact, as the mobility is increased from zero, two transitions can occur: one from a five- to a three-species coexistence state and another from the latter to a uniform, single-species state. We develop a mean-field theory to show that, in order to understand the first transition, group interactionsat the mesoscopic scale must be taken into account. Our findings suggest, more broadly, the importance of mesoscopic interactions in coexistence of great many species.",
author = "Hingyan Cheng and Nan Yao and Junpyo Park and Younghae Do and Ying-Cheng Lai",
note = "Date of Acceptance: 27/11/2014",
year = "2014",
month = "12",
day = "15",
doi = "10.1038/srep07486",
language = "English",
volume = "4",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

TY - JOUR

T1 - Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions

AU - Cheng, Hingyan

AU - Yao, Nan

AU - Park, Junpyo

AU - Do, Younghae

AU - Lai, Ying-Cheng

N1 - Date of Acceptance: 27/11/2014

PY - 2014/12/15

Y1 - 2014/12/15

N2 - Evolutionary dynamical models for cyclic competitions of three species (e.g., rock, paper, and scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to address many issues in coexistence and biodiversity. Real ecosystems often involve competitions among more than three species. By extending the RPS game model to five (rock-paper-scissors-lizard-Spock, or RPSLS) mobile species, we uncover a fundamental type of mesoscopic interactions among subgroups of species. In particular, competitions at the microscopic level lead to the emergence of various local groups in different regions of the space, each involving three species. It is the interactions among the groups that fundamentally determine how many species can coexist. In fact, as the mobility is increased from zero, two transitions can occur: one from a five- to a three-species coexistence state and another from the latter to a uniform, single-species state. We develop a mean-field theory to show that, in order to understand the first transition, group interactionsat the mesoscopic scale must be taken into account. Our findings suggest, more broadly, the importance of mesoscopic interactions in coexistence of great many species.

AB - Evolutionary dynamical models for cyclic competitions of three species (e.g., rock, paper, and scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to address many issues in coexistence and biodiversity. Real ecosystems often involve competitions among more than three species. By extending the RPS game model to five (rock-paper-scissors-lizard-Spock, or RPSLS) mobile species, we uncover a fundamental type of mesoscopic interactions among subgroups of species. In particular, competitions at the microscopic level lead to the emergence of various local groups in different regions of the space, each involving three species. It is the interactions among the groups that fundamentally determine how many species can coexist. In fact, as the mobility is increased from zero, two transitions can occur: one from a five- to a three-species coexistence state and another from the latter to a uniform, single-species state. We develop a mean-field theory to show that, in order to understand the first transition, group interactionsat the mesoscopic scale must be taken into account. Our findings suggest, more broadly, the importance of mesoscopic interactions in coexistence of great many species.

U2 - 10.1038/srep07486

DO - 10.1038/srep07486

M3 - Article

VL - 4

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 7486

ER -