https://doi.org/10.5061/dryad.h1893202v

All data are included in Program.zip

figure1

Species abundances dynamics of three intransitive competitive communities in shared and unshared dispersal networks.

Cellular Automata Simulations on Ecological Networks

This project contains several cellular automata simulations on ecological networks, including both shared networks and non-shared networks.

Unshared Network Simulations

• Unshared1024.m — Cellular automaton simulation on a non-shared network with 1,024 nodes.
• Unshared10000.m — Cellular automaton simulation on a non-shared network with 10,000 nodes.

Shared Network Simulations

• Shared1024.m — Cellular automaton simulation on a shared network with 1,024 nodes.
• Shared10000.m — Cellular automaton simulation on a shared network with 10,000 nodes.

Network Generation

The folder Generate shared and non-shared networks contains scripts for generating four network topologies:

• Regular networks
• Random networks
• Exponential networks
• Scale-free networks

Users can generate either shared or non-shared versions of these networks and use them as the input for the cellular automata simulations.

Example Network Files

• 1024regular.mat — Example regular network with 32 × 32 (1,024 nodes).
• 10000regular.mat — Example regular network with 100 × 100 (10,000 nodes).

figure2

Species extinction generations and community fluctuation size for three intransitive competitive metacommunities across increasing dispersal network heterogeneity.

Unshared Network Simulations

• Feigongxiang1024.m — Cellular automata simulations on non-shared networks with 1,024 nodes under different network structures (different CV values).
• Feigongxiang10000.m — Cellular automata simulations on non-shared networks with 10,000 nodes under different network structures (different CV values).

Shared Network Simulations

• Gongxiang1024.m — Cellular automata simulations on shared networks with 1,024 nodes under different network structures (different CV values).
• Gongxiang10000.m — Cellular automata simulations on shared networks with 10,000 nodes under different network structures (different CV values).

Network Generation

The Generate shared and non-shared networks folder contains scripts for generating the following four types of network topologies:

• Regular networks
• Random networks
• Exponential networks
• Scale-free networks

Users can generate either shared or non-shared versions of these network topologies and use them as inputs for the cellular automata simulations.

figure 3

Metacommunity spatial configuration of the three species.

Figure Generation Scripts

• Figure3_shared.m — Plots the state of different species under the same shared network.
• Figure3_unshared.m — Plots the state of different species under their respective non-shared networks.

Simulation Output Files

Shared Networks

• 1rr-shared.mat — Results for regular shared networks
• 1r-shared.mat — Results for random shared networks
• 1e-shared.mat — Results for exponential shared networks
• 1s-shared.mat — Results for scale-free shared networks

Non-shared Networks

• 1rr-unshared.mat — Results for regular non-shared networks
• 1r-unshared.mat — Results for random non-shared networks
• 1e-unshared.mat — Results for exponential non-shared networks
• 1s-unshared.mat — Results for scale-free non-shared networks

figure4

The dynamics over time of mean degree for three species.

Figure Generation Scripts

• Figure4_shared.m — Visualizes the occupancy states of different species on shared networks.
• Figure4_unshared.m — Visualizes the occupancy states of different species on non-shared networks.

Simulation Output Files

Shared Networks

• Randshared.mat — Results for random shared networks
• Exponentialshared.mat — Results for exponential shared networks
• Scalefreesahred.mat — Results for scale-free shared networks

Non-shared Networks

• Randunshared.mat — Results for random non-shared networks
• Exponentialunshared.mat — Results for exponential non-shared networks
• Scalefreeunsahred.mat — Results for scale-free non-shared networks

figure 5

Effects of system size on community stability.

Network Simulations

Unshared Network Simulations

• Unshared.m — Cellular automata simulations on non-shared networks with different network sizes and structures (implemented in separate folders).

Shared Network Simulations

• Shared.m — Cellular automata simulations on shared networks with different network sizes and structures (implemented in separate folders).

Different folders correspond to different network topologies, including:
regular, random, exponential, and scale-free networks.
dsizes_r.m represents the generation of random dispersal networks ranging in size from 100 to 10,000, in increments of 100.
RantoExp.m represents the generation of random dispersal networks.

Generate shared and non-shared networks

The "Shared Network" folder contains randomly generated networks with different CV (coefficient of variation) values.
The RewireNetwork_DegreePreserving.m is the generation function for Randomly-regular, random, exponential, and scale-free dispersal networks.
dsizes_e.m represents the generation of exponential dispersal networks ranging in size from 100 to 10,000, in increments of 100.
RantoExp.m represents the generation of exponential dispersal networks.