Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour
Abstract We explore the use of movable automata in numerical modelling of male competition for territory. We used territorial dragonflies as our biological inspiration for the model, assuming two types of competing males: (a) faster and larger males that adopt a face‐off strategy and repulse other m...
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| Format: | Article |
| Language: | English |
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Wiley
2024-07-01
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| Series: | Ecology and Evolution |
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| Online Access: | https://doi.org/10.1002/ece3.11715 |
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| author | Rhainer Guillermo‐Ferreira Alexander E. Filippov Alexander Kovalev Stanislav N. Gorb |
| author_facet | Rhainer Guillermo‐Ferreira Alexander E. Filippov Alexander Kovalev Stanislav N. Gorb |
| author_sort | Rhainer Guillermo‐Ferreira |
| collection | DOAJ |
| description | Abstract We explore the use of movable automata in numerical modelling of male competition for territory. We used territorial dragonflies as our biological inspiration for the model, assuming two types of competing males: (a) faster and larger males that adopt a face‐off strategy and repulse other males; (b) slower and smaller males that adopt a non‐aggressive strategy. The faster and larger males have higher noise intensity, leading to faster motion and longer conservation of motion direction. The velocity distributions resemble the Maxwell distributions of velocity, expected in Brownian dynamics, with two probable velocities and distribution widths for the two animal subpopulations. The fast animals' trajectories move between visually fixed density folds of the slower animal subpopulation. A correlation is found between individual velocity and individual area distribution, with smaller animals concentrated in a region of small velocities and areas. Attraction between animals results in a modification of the system behaviour, with larger animals spending more time being surrounded by smaller animals and being slowed down by their interaction with the surroundings. Overall, the study provides insights into the dynamics of animal competition for territory and the impact of attraction between animals. |
| format | Article |
| id | doaj-art-3d4cf88d17d9435f8789f5d557c97c1f |
| institution | Kabale University |
| issn | 2045-7758 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Wiley |
| record_format | Article |
| series | Ecology and Evolution |
| spelling | doaj-art-3d4cf88d17d9435f8789f5d557c97c1f2025-08-20T03:55:58ZengWileyEcology and Evolution2045-77582024-07-01147n/an/a10.1002/ece3.11715Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviourRhainer Guillermo‐Ferreira0Alexander E. Filippov1Alexander Kovalev2Stanislav N. Gorb3Department of Biological Sciences Federal University of Triangulo Mineiro Uberaba Minas Gerais BrazilDonetsk Institute for Physics and Engineering National Academy of Sciences of Ukraine Donetsk UkraineFunctional Morphology and Biomechanics, Zoological Institute Kiel University Kiel GermanyFunctional Morphology and Biomechanics, Zoological Institute Kiel University Kiel GermanyAbstract We explore the use of movable automata in numerical modelling of male competition for territory. We used territorial dragonflies as our biological inspiration for the model, assuming two types of competing males: (a) faster and larger males that adopt a face‐off strategy and repulse other males; (b) slower and smaller males that adopt a non‐aggressive strategy. The faster and larger males have higher noise intensity, leading to faster motion and longer conservation of motion direction. The velocity distributions resemble the Maxwell distributions of velocity, expected in Brownian dynamics, with two probable velocities and distribution widths for the two animal subpopulations. The fast animals' trajectories move between visually fixed density folds of the slower animal subpopulation. A correlation is found between individual velocity and individual area distribution, with smaller animals concentrated in a region of small velocities and areas. Attraction between animals results in a modification of the system behaviour, with larger animals spending more time being surrounded by smaller animals and being slowed down by their interaction with the surroundings. Overall, the study provides insights into the dynamics of animal competition for territory and the impact of attraction between animals.https://doi.org/10.1002/ece3.11715agent‐based modelagonisticcontestecologyevolutiontessellation |
| spellingShingle | Rhainer Guillermo‐Ferreira Alexander E. Filippov Alexander Kovalev Stanislav N. Gorb Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour Ecology and Evolution agent‐based model agonistic contest ecology evolution tessellation |
| title | Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour |
| title_full | Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour |
| title_fullStr | Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour |
| title_full_unstemmed | Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour |
| title_short | Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour |
| title_sort | voronoi diagrams and delaunay triangulation for modelling animal territorial behaviour |
| topic | agent‐based model agonistic contest ecology evolution tessellation |
| url | https://doi.org/10.1002/ece3.11715 |
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