Binny, Rachelle N, Law, Richard orcid.org/0000-0002-5550-3567 and Plank, Michael (2019) Living in groups: spatial-moment dynamics with neighbour-biased movements. Ecological Modelling. 108825. ISSN 0304-3800
Abstract
Herd formation in animal populations, for example to escape a predator or coordinate feeding, is a widespread phenomenon. Understanding which interactions between individual animals are important for generating such emergent self-organisation has been a key focus of ecological and mathematical research. Here we show the relationship between the algorithmic rules of herd-forming agents, and the mathematical structure of the corresponding spatial-moment dynamics. This entails scaling up from the rules of individual, herd generating behaviour to the macroscopic dynamics of herd structure. The model employs a mechanism for neighbour-dependent, directionally-biased movement to explore how individual interactions generate aggregation and repulsion in groups of animals. Our results show that a combination of mutually attractive and repulsive interactions with different spatial scales is sufficient to lead to the stable formation of groups with a characteristic size.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Elsevier B.V. All rights reserved. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Biology (York) |
Depositing User: | Pure (York) |
Date Deposited: | 05 Nov 2019 14:40 |
Last Modified: | 10 Nov 2024 01:23 |
Published Version: | https://doi.org/10.1016/j.ecolmodel.2019.108825 |
Status: | Published online |
Refereed: | Yes |
Identification Number: | 10.1016/j.ecolmodel.2019.108825 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:153151 |
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