ArticleJournal of the Royal Society, Interface2016
How memory of direct animal interactions can lead to territorial pattern formation.
Article in Journal of the Royal Society, Interface, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion.Bulletin of mathematical biology · 2026Article
- Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus.Calculus of variations and partial differential equations · 2026Article
- To Hunt or Patrol? Social Composition and Location Mediate Scent Marking Decisions of a Large Carnivore.Ecology and evolution · 2025Article
- Generative AI as a tool to accelerate the field of ecology.Nature ecology & evolution · 2025Review
- Identifying signals of memory from observations of animal movements.Movement ecology · 2024Review
- Collective intelligence facilitates emergent resource partitioning through frequency-dependent learning.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2024Article
- Distinguishing Between Long-Transient and Asymptotic States in a Biological Aggregation Model.Bulletin of mathematical biology · 2024Article
- Turing Instabilities are Not Enough to Ensure Pattern Formation.Bulletin of mathematical biology · 2024Article
- Spatial ecology of translocated raccoons.Scientific reports · 2023Article
- Reinforced diffusions as models of memory-mediated animal movement.Journal of the Royal Society, Interface · 2023Article
- Sociality, ecology and developmental constraints predict variation in brain size across birds.Journal of evolutionary biology · 2023Article
- How to scale up from animal movement decisions to spatiotemporal patterns: An approach via step selection.The Journal of animal ecology · 2023Article
- Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species.Journal of mathematical biology · 2022Article
- Economical defence of resources structures territorial space use in a cooperative carnivore.Proceedings. Biological sciences · 2022Article
- Mechanistic movement models reveal ecological drivers of tick-borne pathogen spread.Journal of the Royal Society, Interface · 2021Article
- Evolution of stress responses refine mechanisms of social rank.Neurobiology of stress · 2021Review
- Spatial movement with distributed memory.Journal of mathematical biology · 2021Article
- Transient disease dynamics across ecological scales.Theoretical ecology · 2021Article
- Population mobility induced phase separation in SIS epidemic and social dynamics.Scientific reports · 2020Article
- Spatial Memory and Taxis-Driven Pattern Formation in Model Ecosystems.Bulletin of mathematical biology · 2019Article
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2 authors.
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Abstract
Mechanistic home range analysis (MHRA) is a highly effective tool for understanding spacing patterns of animal populations. It has hitherto focused on populations where animals defend their territories by communicating indirectly, e.g. via scent marks. However, many animal populations defend their territories using direct interactions, such as ritualized aggression. To enable application of MHRA to such populations, we construct a model of direct territorial interactions, using linear stability analysis and energy methods to understand when territorial patterns may form. We show that spatial memory of past interactions is vital for pattern formation, as is memory of 'safe' places, where the animal has visited but not suffered recent territorial encounters. Additionally, the spatial range over which animals make decisions to move is key to understanding the size and shape of their resulting territories. Analysis using energy methods, on a simplified version of our system, shows that stability in the nonlinear system corresponds well to predictions of linear analysis. We also uncover a hysteresis in the process of territory formation, so that formation may depend crucially on initial space-use. Our analysis, in one dimension and two dimensions, provides mathematical groundwork required for extending MHRA to situations where territories are defended by direct encounters.
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