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Following the Dynamics of Structural Variants in Experimentally Evolved Populations

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Published on: February 3, 2023

The speed of neutral evolution on graphs.

Shun Gao¹, Yuan Liu¹, Bin Wu¹

¹School of Sciences, Beijing University of Posts and Telecommunications, Beijing, People's Republic of China.

Journal of the Royal Society, Interface

|June 5, 2024

Summary

Population structure significantly impacts evolution speed. This study reveals that complex graphs, particularly echo-chamber structures, slow down the absorption time of neutral mutants, offering insights into evolutionary dynamics and opinion polarization.

Keywords:

absorption time evolutionary graph theory structured population

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Area of Science:

Evolutionary dynamics
Network science
Mathematical biology

Background:

The speed of evolution and evolutionary stability are critical in biological and social systems.
Understanding how population structure influences the rate of evolutionary change is an ongoing challenge.
Absorption time, representing the time for a mutant to fix or disappear, is a key metric for evolutionary stability.

Purpose of the Study:

To investigate how different population structures, represented by graphs, affect the absorption time of a single neutral mutant.
To identify specific graph properties that either accelerate or decelerate evolutionary processes.
To explore the relationship between graph topology and the timing of evolutionary events.

Main Methods:

Analysis of absorption times for a single neutral mutant across all 112 non-isomorphic undirected graphs of size 6.
Examination of graph properties, including joint degree distribution and largest sojourn time.
Robustness checks for large graphs, various mutation patterns, and evolutionary processes.

Main Results:

Approximately three-quarters of the analyzed graphs exhibited absorption times similar to a complete graph.
Less than one-third of the graphs acted as accelerators, while over two-thirds functioned as decelerators.
Graph structure complexity, especially 'echo-chamber-like' configurations, was found to significantly slow down absorption, a phenomenon not predictable by joint degree distribution alone.

Conclusions:

Population structure plays a crucial role in modulating the speed of evolution.
Echo-chamber-like network structures are identified as significant decelerators of evolutionary processes.
This research provides a benchmark for understanding evolutionary timing in complex systems and sheds light on opinion polarization dynamics.