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Universal scaling of extinction time in stochastic evolutionary dynamics
Ching-I Huang1,2,3, Chun-Chung Chen4,5, Hsiu-Hau Lin6
1Department of Physics, National Tsing Hua University, Hsinchu, 30013, Taiwan.
Scientific Reports
|December 27, 2022
Summary
Finite populations and spatial structure alter extinction dynamics in rock-paper-scissors ecosystems. Simulations reveal universal scaling in extinction times, offering new ways to classify evolutionary dynamics.
Area of Science:
- Evolutionary dynamics
- Ecological stability
- Population dynamics
Background:
- Replicator equations model evolutionary dynamics in infinite, well-mixed populations.
- Extinction dynamics differ in finite, structured populations.
- Ecological stability in non-transitive ecosystems depends on spatial structure.
Purpose of the Study:
- Investigate extinction dynamics in finite, structured rock-paper-scissors ecosystems.
- Analyze the impact of spatial structure on ecological stability and extinction.
- Identify universal scaling laws in extinction dynamics.
Main Methods:
- Agent-based Monte Carlo simulations using the Reference-Gamble-Birth algorithm.
- Modeling the rock-paper-scissors ecosystem with three bacterial populations.
- Simulations on fully-connected networks and two-dimensional grids.
Main Results:
- Extinction time follows universal functions on fully-connected networks with rescaled variables.
- Spatial structure on a 2D grid alters stability transition boundaries but not extinction trends.
- Unexpected universal scaling observed in extinction dynamics.
Conclusions:
- Spatial structure significantly impacts extinction dynamics in finite ecosystems.
- Universal scaling provides a potential framework for classifying evolutionary dynamics.
- Findings challenge traditional models and offer new insights into ecological stability.
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