Assortative clustering in a one-dimensional population with replication strategies

Area of Science:

• Evolutionary biology
• Population dynamics
• Theoretical ecology

Background:

• Assortative clustering significantly impacts evolution by altering local environments.
• Understanding these effects in linear habitats is crucial for ecological modeling.

Purpose of the Study:

• To investigate the role of assortative clustering in population dynamics within a one-dimensional grid.
• To analyze how replication strategies and environmental conditions influence population density.

Main Methods:

• A one-dimensional grid model simulating organism replication and competition.
• Incorporation of genetically inherited replication strategies based on neighborhood configuration.
• Analysis using a mean-field approach considering assortative clustering.

Main Results:

• Population density is higher in unfavorable environments compared to favorable ones.
• Favorable environments incur a cost of conflict, reducing population density.
• The model's findings align with mean-field analysis incorporating assortative clustering.

Conclusions:

• Environmental conditions and population density exhibit intrinsic nonlinearity when evolutionary processes are involved.
• Assortative clustering and environmental factors interact to shape population structures in linear habitats.