Evolutionary Game-Theoretic Approach to the Population Dynamics of Early Replicators

Area of Science:

• Origin of life studies
• Evolutionary biology
• Theoretical chemistry

Background:

• Early replicator dynamics present challenges in understanding the transition to complex biological systems.
• Manfred Eigen's work in the 1970s established the research framework for prebiotic evolution.
• Demographic noise significantly influences the population dynamics of replicating molecules.

Purpose of the Study:

• To investigate the impact of demographic noise on template-directed (non-enzymatic) and protein-mediated (enzymatic) replicators.
• To analyze the evolution of enzyme-producing replicators in structured finite populations.
• To determine conditions for the emergence of cooperation in early life forms.

Main Methods:

• Simulation of finite populations using stochastic algorithms from evolutionary game theory.
• Application of finite-size scaling to analyze fixation probabilities and mean fixation times.
• Modeling enzyme evolution within randomly formed groups, analogous to the n-player prisoner's dilemma.

Main Results:

• Stochastic algorithms reproduce replicator equations in the infinite population limit.
• Finite-size scaling identifies thresholds for replicator type dominance.
• The evolution of enzyme-producing replicators is facilitated by group structure, overcoming free-rider problems.

Conclusions:

• Demographic noise plays a crucial role in the population dynamics of early replicators.
• Group structure and the balance of altruistic costs and rewards are essential for the evolution of complex traits like enzymes.
• This research provides insights into the mechanisms driving prebiotic evolution and the emergence of biological complexity.