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Reliable hypotheses testing in animal social network analyses: global index, index of interactions and residual regression

Sebastian Sosa, Cristian Pasquaretta, Ivan Puga-Gonzalez, F Stephen Dobson, Vincent A Viblanc, William Hoppitt
doi: https://doi.org/10.1101/2021.12.14.472534
Sebastian Sosa
1Université de Strasbourg, CNRS, IPHC, UMR 7178, Strasbourg, France
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  • For correspondence: s.sosa@live.fr
Cristian Pasquaretta
2Research Center on Animal Cognition, Center for Integrative Biology, National Center for Scientific Research (CNRS), University of Toulouse (UPS), Toulouse, France
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Ivan Puga-Gonzalez
3Institute for Global Development and Planning, University of Agder, Kristiansand, Norway
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F Stephen Dobson
1Université de Strasbourg, CNRS, IPHC, UMR 7178, Strasbourg, France
4Department of Biological Sciences, Auburn University, Auburn, AL, USA
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Vincent A Viblanc
1Université de Strasbourg, CNRS, IPHC, UMR 7178, Strasbourg, France
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William Hoppitt
5School of Biological Sciences, Royal Holloway, University of London, Egham, UK
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Abstract

Animal social network analyses (ASNA) have led to a foundational shift in our understanding of animal sociality that transcends the disciplinary boundaries of genetics, spatial movements, epidemiology, information transmission, evolution, species assemblages and conservation. However, some analytical protocols (i.e., permutation tests) used in ASNA have recently been called into question due to the unacceptable rates of false negatives (type I error) and false positives (type II error) they generate in statistical hypothesis testing. Here, we show that these rates are related to the way in which observation heterogeneity is accounted for in association indices. To solve this issue, we propose a method termed the “global index” (GI) that consists of computing the average of individual associations indices per unit of time. In addition, we developed an “index of interactions” (II) that allows the use of the GI approach for directed behaviours. Our simulations show that GI: 1) returns more reasonable rates of false negatives and positives, with or without observational biases in the collected data, 2) can be applied to both directed and undirected behaviours, 3) can be applied to focal sampling, scan sampling or “gambit of the group” data collection protocols, and 4) can be applied to first- and second-order social network measures. Finally, we provide a method to control for non-social biological confounding factors using linear regression residuals. By providing a reliable approach for a wide range of scenarios, we propose a novel methodology in ASNA with the aim of better understanding social interactions from a mechanistic, ecological and evolutionary perspective.

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • https://github.com/SebastianSosa/GI-II

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted December 15, 2021.
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Reliable hypotheses testing in animal social network analyses: global index, index of interactions and residual regression
Sebastian Sosa, Cristian Pasquaretta, Ivan Puga-Gonzalez, F Stephen Dobson, Vincent A Viblanc, William Hoppitt
bioRxiv 2021.12.14.472534; doi: https://doi.org/10.1101/2021.12.14.472534
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Reliable hypotheses testing in animal social network analyses: global index, index of interactions and residual regression
Sebastian Sosa, Cristian Pasquaretta, Ivan Puga-Gonzalez, F Stephen Dobson, Vincent A Viblanc, William Hoppitt
bioRxiv 2021.12.14.472534; doi: https://doi.org/10.1101/2021.12.14.472534

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