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Supplemental Information

Movie S1: Monte Carlo simulation. Torus-lattice. Hexagonal neighborhood

Every Monte Carlo simulation consisted of 100 repeated experiments with different initial positioning of an individual on the lattice. Here are shown five repeated experiments. The lattice is uniform, homogeneous and limited. It consists of 23x23 sites available for occupation by individuals. The lattice is closed on the torus and the neighborhood is hexagonal.

DOI: 10.7287/peerj.preprints.762v1/supp-1

Movie S2: Monte Carlo simulation. The lattice has a boundary. Hexagonal neighborhood

Every Monte Carlo simulation consisted of 100 repeated experiments with different initial positioning of an individual on the lattice. Here are shown five repeated experiments. The lattice is uniform, homogeneous and limited. It consists of 23x23 sites available for occupation by individuals. The lattice has a boundary and the neighborhood is hexagonal.

DOI: 10.7287/peerj.preprints.762v1/supp-2

Movie S3: Monte Carlo simulation. Torus-lattice. Tripod neighborhood

Every Monte Carlo simulation consisted of 100 repeated experiments with different initial positioning of an individual on the lattice. Here are shown five repeated experiments. The lattice is uniform, homogeneous and limited. It consists of 23x23 sites available for occupation by individuals. The lattice is closed on the torus and the neighborhood is tripod.

DOI: 10.7287/peerj.preprints.762v1/supp-3

Movie S4: Monte Carlo simulation. The lattice has a boundary. Hexagonal neighborhood

Every Monte Carlo simulation consisted of 100 repeated experiments with different initial positioning of an individual on the lattice. Here are shown five repeated experiments. The lattice is uniform, homogeneous and limited. It consists of 23x23 sites available for occupation by individuals. The lattice has a boundary and the neighborhood is tripod.

DOI: 10.7287/peerj.preprints.762v1/supp-4

Movie S5: S-shaped population growth with short phase of decelerating growth

The lattice size which is available for occupation consists of 50x50 sites. Cellular automata neighborhood is hexagonal and the lattice is closed on the torus.

DOI: 10.7287/peerj.preprints.762v1/supp-5

Movie S6: S-shaped population growth with sharp transition to long phase of decelerating growth

The lattice size which is available for occupation consists of 50x50 sites. Cellular automata neighborhood is hexagonal and the lattice has a boundary.

DOI: 10.7287/peerj.preprints.762v1/supp-6

Movie S7: Double S-shaped population growth

The lattice size which is available for occupation consists of 50x50 sites. Cellular automata neighborhood is tripod and the lattice is closed on the torus.

DOI: 10.7287/peerj.preprints.762v1/supp-7

Movie S8: S-shaped population growth with very long deceleration phase

The lattice size which is available for occupation consists of 50x50 sites. Cellular automata neighborhood is tripod and the lattice has a boundary.

DOI: 10.7287/peerj.preprints.762v1/supp-8

Additional Information

Competing Interests

The authors declare they have no competing interests.

Author Contributions

Lev V. Kalmykov conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper, prepared figures and/or tables, reviewed drafts of the paper, programming and making movies.

Vyacheslav L. Kalmykov conceived and designed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper, prepared figures and/or tables, reviewed drafts of the paper.

Funding

The authors declare there was no funding for this work.


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