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Dual Elo rating : modelling gradual and sudden shifts in animal dominance hierarchies

Nusret Ipek (UGent) , Bernard De Baets (UGent) , Frank Tuyttens (UGent) and Jan Verwaeren (UGent)
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Abstract
Elo rating and its variants are widely employed to characterize the social (dominance) hierarchies within animal groups. These ranking methods are considered the state-of-the-art for analysing sequential dyadic agonistic interaction data. However, they have been criticized for adapting slowly to rare but abrupt and important changes in the dominance hierarchy. In this paper, we show that this delayed response can be overcome by making the update parameter of the Elo rating time-dependent. By distinguishing between two types of interactions, i.e., low-impact and high-impact interactions each with an associated update parameter, a simple parametrization of a time-dependent update parameter can be obtained. We refer to this innovation as Dual Elo. Building on Optimized Elo, we propose a computationally efficient maximum-likelihood-based algorithm to fit Dual Elo to an observed sequence of interactions. The result is an extension of Elo rating that can handle a mix of gradual and sudden changes in the hierarchy, leading to a model that is more responsive with more robust estimates of the temporal evolution of the Elo scores. A systematic evaluation of the Dual Elo rating on both simulated and publicly available datasets demonstrates its robustness, even when the observations of the outcomes of interactions are noisy.
Keywords
Elo rating, Animal behaviour, Dominance hierarchy, Agonistic interaction, Maximum-likelihood estimation, Hierarchy changes, Social dynamics, RANKING, IMPROVE, ORDER

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MLA
Ipek, Nusret, et al. “Dual Elo Rating : Modelling Gradual and Sudden Shifts in Animal Dominance Hierarchies.” ECOLOGICAL INFORMATICS, vol. 98, 2026, doi:10.1016/j.ecoinf.2026.103974.
APA
Ipek, N., De Baets, B., Tuyttens, F., & Verwaeren, J. (2026). Dual Elo rating : modelling gradual and sudden shifts in animal dominance hierarchies. ECOLOGICAL INFORMATICS, 98. https://doi.org/10.1016/j.ecoinf.2026.103974
Chicago author-date
Ipek, Nusret, Bernard De Baets, Frank Tuyttens, and Jan Verwaeren. 2026. “Dual Elo Rating : Modelling Gradual and Sudden Shifts in Animal Dominance Hierarchies.” ECOLOGICAL INFORMATICS 98. https://doi.org/10.1016/j.ecoinf.2026.103974.
Chicago author-date (all authors)
Ipek, Nusret, Bernard De Baets, Frank Tuyttens, and Jan Verwaeren. 2026. “Dual Elo Rating : Modelling Gradual and Sudden Shifts in Animal Dominance Hierarchies.” ECOLOGICAL INFORMATICS 98. doi:10.1016/j.ecoinf.2026.103974.
Vancouver
1.
Ipek N, De Baets B, Tuyttens F, Verwaeren J. Dual Elo rating : modelling gradual and sudden shifts in animal dominance hierarchies. ECOLOGICAL INFORMATICS. 2026;98.
IEEE
[1]
N. Ipek, B. De Baets, F. Tuyttens, and J. Verwaeren, “Dual Elo rating : modelling gradual and sudden shifts in animal dominance hierarchies,” ECOLOGICAL INFORMATICS, vol. 98, 2026.
@article{01KZXCETGMYWK2HETT4PR2B4XG,
  abstract     = {{Elo rating and its variants are widely employed to characterize the social (dominance) hierarchies within animal groups. These ranking methods are considered the state-of-the-art for analysing sequential dyadic agonistic interaction data. However, they have been criticized for adapting slowly to rare but abrupt and important changes in the dominance hierarchy. In this paper, we show that this delayed response can be overcome by making the update parameter of the Elo rating time-dependent. By distinguishing between two types of interactions, i.e., low-impact and high-impact interactions each with an associated update parameter, a simple parametrization of a time-dependent update parameter can be obtained. We refer to this innovation as Dual Elo. Building on Optimized Elo, we propose a computationally efficient maximum-likelihood-based algorithm to fit Dual Elo to an observed sequence of interactions. The result is an extension of Elo rating that can handle a mix of gradual and sudden changes in the hierarchy, leading to a model that is more responsive with more robust estimates of the temporal evolution of the Elo scores. A systematic evaluation of the Dual Elo rating on both simulated and publicly available datasets demonstrates its robustness, even when the observations of the outcomes of interactions are noisy.}},
  articleno    = {{103974}},
  author       = {{Ipek, Nusret and De Baets, Bernard and Tuyttens, Frank and Verwaeren, Jan}},
  issn         = {{1574-9541}},
  journal      = {{ECOLOGICAL INFORMATICS}},
  keywords     = {{Elo rating,Animal behaviour,Dominance hierarchy,Agonistic interaction,Maximum-likelihood estimation,Hierarchy changes,Social dynamics,RANKING,IMPROVE,ORDER}},
  language     = {{eng}},
  pages        = {{12}},
  title        = {{Dual Elo rating : modelling gradual and sudden shifts in animal dominance hierarchies}},
  url          = {{http://doi.org/10.1016/j.ecoinf.2026.103974}},
  volume       = {{98}},
  year         = {{2026}},
}

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