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Environment driven oscillation in an off-lattice May-Leonard model.
D Bazeia1, M J B Ferreira2, B F de Oliveira2
1Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil.
Scientific Reports
|June 16, 2021
Summary
Environmental conditions significantly impact biodiversity. A modified May-Leonard model shows that benign environments promote spiraling patterns and population oscillations, highlighting the environment
Area of Science:
- Ecology
- Mathematical Biology
- Theoretical Ecology
Background:
- Cyclic dominance is a hypothesis explaining biodiversity by preventing single-species victory.
- May-Leonard models mathematically describe non-transitive interactions in spatial systems, often showing spiral patterns.
Purpose of the Study:
- To investigate how environmental conditions affect cyclic dominance and spatial patterns in competing species.
- To explore an off-lattice May-Leonard model with a variable carrying capacity.
Main Methods:
- Developed an off-lattice version of the May-Leonard model.
- Introduced a local carrying capacity parameter to gradually alter environmental conditions.
- Analyzed the emergence and characteristics of spiraling patterns and population dynamics.
Main Results:
- Rotating spiral patterns, characteristic of cyclic dominance, are prominent in benign environments with high population density.
- Time-dependent population oscillations were observed, with amplitude and frequency scaling with the environmental parameter.
- Model results align with previous metapopulation model analyses.
Conclusions:
- Non-transitive interactions alone are insufficient to maintain biodiversity.
- Environmental state, influencing general living conditions, plays a crucial role in the evolution of biodiversity in competing species systems.
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