Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments

Area of Science:

• Ecology
• Evolutionary Biology
• Mathematical Biology

Background:

• Organisms face environmental heterogeneity requiring adaptation.
• Spontaneous phenotypic variation is an ecological strategy for surviving fluctuating environments.

Purpose of the Study:

• To investigate the adaptive role of spontaneous phenotypic variations in fluctuating environments.
• To model the evolutionary dynamics of competing populations with varying phenotypic variation rates.

Main Methods:

• Utilized a system of non-local partial differential equations.
• Analyzed the long-time behavior of solutions for evolutionary dynamics.
• Modeled phenotype-structured populations with heritable variations and oscillating nutrient levels.

Main Results:

• Low rates of phenotypic variation are advantageous under small, slow environmental oscillations.
• High rates of phenotypic variation provide a competitive edge during large, fast oscillations (e.g., nutrient abundance/starvation cycles).

Conclusions:

• The optimal rate of spontaneous phenotypic variation is dependent on the characteristics of environmental fluctuations.
• Findings have implications for understanding cancer metabolism and evolutionary strategies in dynamic ecosystems.