Some mechanistic requirements for major transitions

Area of Science:

• Evolutionary biology
• Theoretical chemistry
• Systems theory

Background:

• Major evolutionary transitions involve increased system complexity through integration of autonomous units.
• The hypercycle model offers a framework for understanding such integration and cooperation.
• Stochastic chemical kinetics provides tools to analyze dynamic systems with random fluctuations.

Purpose of the Study:

• To re-examine the hypercycle model using stochastic chemical kinetics.
• To investigate the role of partner number (n) in the stability of cooperative systems.
• To explore the relationship between resource availability, cooperation, and radical innovation.

Main Methods:

• Analysis of the hypercycle model within a flow reactor system.
• Application of stochastic chemical kinetics to model system dynamics.
• Identification of transcritical bifurcations for the formation of organized units.
• Comparison of deterministic (ODEs) and stochastic models for varying numbers of subspecies (n).

Main Results:

• Quasi-stationary states are formed in systems with 2 or 3 subspecies ([Formula: see text], [Formula: see text]).
• A 4-membered system ([Formula: see text]) is stable deterministically but prone to extinction in the stochastic model due to fluctuations.
• Systems with 5 or more subspecies ([Formula: see text]) exhibit unstable cooperation and large oscillations, with stochastic fluctuations leading to extinction.
• Resource abundance is identified as a prerequisite for radical innovation, contrasting with the idea that scarcity drives all innovation.

Conclusions:

• The stability of cooperative systems is highly dependent on the number of integrated partners.
• Stochastic fluctuations can destabilize cooperative systems, particularly those with more than 3 partners.
• Resource abundance, rather than scarcity, is crucial for radical novelty and the emergence of new features during major evolutionary transitions.