The aim of our study search out investigate whether friendly interactions ‘tween individual wildebeest can generate the empirical capacity law distributions of wildebeest aggregations. Animals are often in the direction of groups such as fish schools, fowl flocks, insect swarms, and camel herds. Being in a group helps members to undertake different behavioral projects such as in foraging, hunter avoidance, and fighting to toxic environmental environments, reproduction or socialization. In this study, we present the power society, truncated capacity law and the exponential classification. We also quantified the dispersion of real herds by analyzing the commonness distribution of wildebeest counts in occurring in the air survey images collected in 2015. We therefore used a Lagrangian model of animal interactions to pretend individual movement and herd aggregation patterns. The simulations of our power-based model shown characteristic aggregation patterns that were most similar to the practical data. We observed a close competition between parameters from the practical data and power based model. These parameters involve the scaling parameter from the capacity law (α) and the predictable difference σ. With parameter values that doubled empirical distributions, we fitted the model. Our study of the empirical data shows that the collection patterns of wildebeest herds are governed by a shortened power law. We argue that social interactions ‘tween individual wildebeest can explain this behaviour.

Author(s) Details:

N. Kisoma Linus,
Sokoine University of Agriculture, P. O. Box-3038, Morogoro, Tanzania.

Torney Colin,
Department of Mathematics and Statistics, University of Glasgow, UK.

C. Treydte Anna,
Department of Physical Geography, University of Stockholm, Sweden.

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Keywords: Agent based model, aggregation patterns, group size, frequency distribution, truncated power law

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