Biodiversity in models of cyclic dominance is preserved by heterogeneity in site-specific invasion rates
arXiv:1611.05854 · doi:10.1038/srep38608
Abstract
Global, population-wide oscillations in models of cyclic dominance may result in the collapse of biodiversity due to the accidental extinction of one species in the loop. Previous research has shown that such oscillations can emerge if the interaction network has small-world properties, and more generally, because of long-range interactions among individuals or because of mobility. But although these features are all common in nature, global oscillations are rarely observed in actual biological systems. This begets the question what is the missing ingredient that would prevent local oscillations to synchronize across the population to form global oscillations. Here we show that, although heterogeneous species-specific invasion rates fail to have a noticeable impact on species coexistence, randomness in site-specific invasion rates successfully hinders the emergence of global oscillations and thus preserves biodiversity. Our model takes into account that the environment is often not uniform but rather spatially heterogeneous, which may influence the success of microscopic dynamics locally. This prevents the synchronization of locally emerging oscillations, and ultimately results in a phenomenon where one type of randomness is used to mitigate the adverse effects of other types of randomness in the system.
arXiv comment8 two-column pages, 5 figures; accepted for publication in Scientific Reports
References in corpus (40)
- Coevolutionary games - a mini review
- Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
- Cyclic dominance in evolutionary games: A review
- Does a Single Zealot Affect an Infinite Group of Voters ?
- Resolving social dilemmas on evolving random networks
- Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
- Defense mechanisms of empathetic players in the spatial ultimatum game
- Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: Phase transitions to elementary strategies
- Self-Organization of Mobile Populations in Cyclic Competition
- Rock-scissors-paper game on regular small-world networks
- Oscillatory Dynamics in Rock-Paper-Scissors Games with Mutations
- Zero-one survival behavior of cyclically competing species
- Spatial Rock-Paper-Scissors Models with Inhomogeneous Reaction Rates
- Junctions and spiral patterns in Rock-Paper-Scissors type models
- Coexistence and Survival in Conservative Lotka-Volterra Networks
- Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction
- Phase transitions for rock-scissors-paper game on different networks
- Statistical Physics of the Spatial Prisoner's Dilemma with Memory-Aware Agents
- Zealots tame oscillations in the spatial rock-paper-scissors game
- Characterization of spiraling patterns in spatial rock-paper-scissors games
- Von-Neumann's and related scaling laws in Rock-Paper-Scissors type models
- Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
- Evolutionary games of condensates in coupled birth-death processes
- Cyclic competition of four species: domains and interfaces
- When does cyclic dominance lead to stable spiral waves?
- Ecosystems with mutually exclusive interactions self-organize to a state of high diversity
- Intransitivity and coexistence in four species cyclic games
- Interplay between partnership formation and competition in generalized May-Leonard games
- Interfaces with internal structures in generalized rock-paper-scissors models
- How turbulence regulates biodiversity in systems with cyclic competition
- Spatial variability enhances species fitness in stochastic predator-prey interactions
- A theoretical approach to understand spatial organization in complex ecologies
- Globally synchronized oscillations in complex cyclic games
- Labyrinthine clustering in a spatial rock-paper-scissors ecosystem
- Complementarity and diversity in a soluble model ecosystem
- Heterogeneity in connectivity of habitat networks saves stable coexistence of competing species
- Clonal selection prevents tragedy of the commons when neighbors compete in a rock-paper-scissors game
- Stability and robustness analysis of cooperation cycles driven by destructive agents in finite populations
- Oscillations and patterns in interacting populations of two species
- Oscillatory dynamics in evolutionary games are suppressed by heterogeneous adaptation rates of players
Cited by in corpus (22)
- Pattern formations driven by cyclic interactions: a brief review of recent developments
- A novel procedure for the identification of chaos in complex biological systems
- Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
- Hamming distance and mobility behavior in generalized rock-paper-scissors models
- Non-Hermitian topology in rock-paper-scissors games
- Competition of alliances in a cyclically dominant eight-species population
- Invasion controlled pattern formation in a generalized multi-species predator-prey system
- Basin entropy behavior in a cyclic model of the rock-paper-scissors type
- Coevolutionary dynamics of a variant of the cyclic Lotka-Volterra model with three-agent interactions
- Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game
- Phase transitions in dependence of apex predator decaying ratio in a cyclic dominant system
- Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems
- Emerging solutions from the battle of defensive alliances
- Environment driven oscillation in an off-lattice May--Leonard model
- Coexistence of Competing Microbial Strains under Twofold Environmental Variability and Demographic Fluctuations
- Effects of a pestilent species on the stability of cyclically dominant species
- Stabilizing spiral structures in the asymmetric May-Leonard model
- Competition among alliances of different sizes
- Self-organized biodiversity and species abundance distribution patterns in ecosystems with higher-order interactions
- Non-Markovian Rock-Paper-Scissors games
- Monitoring biodiversity on highly reactive rock-paper-scissors models
- Interspecific information use facilitates species coexistence in ecosystems