About the Authors

Makoto Yomosa

yomosa@ms.osakafu-u.ac.jp

Affiliation Department of Mathematical Sciences, Osaka Prefecture University, Osaka, Japan

Tsuyoshi Mizuguchi

Affiliation Department of Mathematical Sciences, Osaka Prefecture University, Osaka, Japan

Gábor Vásárhelyi

Affiliations Department of Biological Physics, Eötvös University, Budapest, Hungary, MTA-ELTE Statistical and Biological Physics Research Group of the Hungarian Academy of Sciences, Budapest, Hungary

Máté Nagy

Affiliations Department of Biological Physics, Eötvös University, Budapest, Hungary, MTA-ELTE Statistical and Biological Physics Research Group of the Hungarian Academy of Sciences, Budapest, Hungary, Department of Zoology, University of Oxford, Oxford, United Kingdom, Department of Collective Behaviour, Max Planck Institute for Ornithology, Konstanz, Germany

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: MY TM GV MN. Contributed reagents/materials/analysis tools: MY TM GV MN. Wrote the paper: MY TM GV MN.