Abstract

A widespread problem in biological research is assessing whether a model adequately describes some real-world data. But even if a model captures the large-scale statistical properties of the data, should we be satisfied with it? We developed a method, inspired by Alan Turing, to assess the effectiveness of model fitting. We first built a self-propelled particle model whose properties (order and cohesion) statistically matched those of real fish schools. We then asked members of the public to play an online game (a modified Turing test) in which they attempted to distinguish between the movements of real fish schools or those generated by the model. Even though the statistical properties of the real data and the model were consistent with each other, the public could still distinguish between the two, highlighting the need for model refinement. Our results demonstrate that we can use ‘citizen science’ to cross-validate and improve model fitting not only in the field of collective behaviour, but also across a broad range of biological systems.

Highlights

  • Alan Turing provided a means of assessing whether a machine’s behaviour was equivalent or indistinguishable from that of a human [1]

  • Bird flocks and fish schools move together using local interaction rules whereby they respond to the movements and positions of their neighbours [4]

  • We showed dots moving in the same trajectories as the tracks from a real fish school

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Summary

Introduction

Alan Turing provided a means of assessing whether a machine’s behaviour was equivalent or indistinguishable from that of a human [1]. The test is designed to assess the ability of a model (the machine) to reproduce the real world (human behaviour). Data collected on the movements of real animal groups lag behind the theoretical models [5,6,7]. These data have been used to generate models aimed at explaining how individuals in groups interact using simple rules, and how these rules reproduce the collective properties of swarms, flocks and schools [6,8,9,10]. The large-scale statistical properties of these simulations, such as a group’s order and structure, often match those of real fish schools or bird flocks [6,8]

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