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Emergence of asymmetry in evolution
P L Várkonyi1, G Meszéna, G Domokos
1Department of Mechanics, Materials and Structures, Budapest University of Technology and Economics, H-1521 Budapest, Hungary. vpeter@mit.bme.hu
Theoretical Population Biology
|February 25, 2006
Summary
Evolutionary branching can create asymmetric species under weak symmetry, leading to ancestor loss. Strong symmetry allows both symmetric and asymmetric variants to coexist, differing from typical adaptive dynamics.
Area of Science:
- Evolutionary biology
- Theoretical ecology
- Mathematical biology
Background:
- Adaptive dynamics (AD) models evolutionary processes using game theory.
- Symmetry plays a crucial role in understanding evolutionary stability and diversification.
- Previous AD models primarily focused on symmetric branching patterns.
Purpose of the Study:
- To investigate novel symmetry-breaking bifurcation patterns in evolutionary branching.
- To differentiate between weak and strong symmetry in evolutionary populations.
- To explore the consequences of these symmetries on diversification outcomes.
Main Methods:
- Utilizing the framework of adaptive dynamics (AD).
- Defining and distinguishing between weak and strong symmetry conditions.
- Analyzing evolutionary branching scenarios under different symmetry types.
Main Results:
- Weak symmetry leads to evolutionary branching into two asymmetric, mirror-image variants, causing the loss of the ancestral form.
- Strong symmetry permits evolutionary branching into both a symmetric and an asymmetric variant, which coexist.
- This strong symmetry branching represents a novel pattern distinct from standard AD outcomes.
Conclusions:
- Symmetry-breaking bifurcations significantly alter evolutionary diversification pathways.
- The type of symmetry (weak vs. strong) dictates the nature and survival of emergent variants.
- The study introduces a new class of asymmetric evolutionary branching patterns within adaptive dynamics.
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