The Library
Universal scaling of extinction time in stochastic evolutionary dynamics
Tools
Huang, Ching-I, Chen, Chun-Chung and Lin, Hsiu-Hau (2022) Universal scaling of extinction time in stochastic evolutionary dynamics. Scientific Reports, 12 (1). 22403 . doi:10.1038/s41598-022-27102-0 ISSN 2045-2322.
|
PDF
s41598-022-27102-0.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1700Kb) | Preview |
Official URL: http://doi.org/10.1038/s41598-022-27102-0
Abstract
Evolutionary dynamics is well captured by the replicator equations when the population is infinite and well-mixed. However, the extinction dynamics is modified with finite and structured populations. Experiments on the non-transitive ecosystem containing three populations of bacteria found that the ecological stability sensitively depends on the spatial structure of the populations. Based on the Reference–Gamble–Birth algorithm, we use agent-based Monte Carlo simulations to investigate the extinction dynamics in the rock-paper-scissors ecosystem with finite and structured populations. On the fully-connected network, the extinction time in stable and unstable regimes falls into two universal functions when plotted with the rescaled variables. On the two dimensional grid, the spatial structure changes the transition boundary between stable and unstable regimes but doesn’t change its extinction trend. The finding of universal scaling in extinction dynamics is unexpected, and may provide a powerful method to classify different evolutionary dynamics into universal classes.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics Q Science > QH Natural history |
||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Differentiable dynamical systems , Monte Carlo method, Population -- Mathematical models, Population biology -- Mathematical models | ||||||
Journal or Publication Title: | Scientific Reports | ||||||
Publisher: | Nature Publishing Group | ||||||
ISSN: | 2045-2322 | ||||||
Official Date: | 27 December 2022 | ||||||
Dates: |
|
||||||
Volume: | 12 | ||||||
Number: | 1 | ||||||
Article Number: | 22403 | ||||||
DOI: | 10.1038/s41598-022-27102-0 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 21 June 2023 | ||||||
Date of first compliant Open Access: | 21 June 2023 | ||||||
RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year