Modelling Dominance Hierarchies Under Winner and Loser Effects

Kura, K., Broom, M. & Kandler, A. (2015). Modelling Dominance Hierarchies Under Winner and Loser Effects. Bulletin of Mathematical Biology, 77(6), pp. 927-952. doi: 10.1007/s11538-015-0070-z

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Abstract

Animals that live in groups commonly form themselves into dominance hierarchies which are used to allocate important resources such as access to mating opportunities and food. In this paper, we develop a model of dominance hierarchy formation based upon the concept of winner and loser effects using a simulation-based model and consider the linearity of our hierarchy using existing and new statistical measures. Two models are analysed: when each individual in a group does not know the real ability of their opponents to win a fight and when they can estimate their opponents' ability every time they fight. This estimation may be accurate or fall within an error bound. For both models, we investigate if we can achieve hierarchy linearity, and if so, when it is established. We are particularly interested in the question of how many fights are necessary to establish a dominance hierarchy.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s11538-015-0070-z
Uncontrolled Keywords: dominance hierarchy, winner and loser effects, linearity, resource holding power, Kolmogorov distance
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences
URI: http://openaccess.city.ac.uk/id/eprint/7804

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