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IV - Formulas

Published online by Cambridge University Press:  21 November 2020

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Summary

Abstract

Under the term formulas, this chapter investigates complementary strategies in order to describe the dynamics and functions of biological collectives. It examines how, on the basis of patchy empirical data, attempts were made to construct mathematical models concerned with the geometric form of fish schools or with the algorithms of the local behavior of swarm individuals. It thereby follows traces which link biological swarm research to cybernetic ideas of ‘communication’ or ‘information transmission.’ Equipped with a new technical vocabulary, researchers began to describe swarms as ‘systems’ and were able to conceive of them in new ways. Nevertheless, the first approaches to simulating swarm dynamics in the 1970s received little attention, a fact that was likely due to the inability at the time to display dynamic processes visually.

Keywords: cybernetics, fish school, mathematical model, geometry, sensory systems, models as mediators

Models as Media

As demonstrated in the previous chapters, Charles Breder was right when, in an early article, he referred to fish schools as ‘notoriously difficult laboratory materials’ – a characterization that applies just as well, if not more so, to studying them in the open sea. Alongside the efforts being made to gain empirical data about the control logic and organization of schools by means of various observational and analytic systems, a second (and complementary) strategy explored models and mathematical formulas in order to describe the dynamics and functions of biological collectives. Models, after all, provide the opportunity for drawing connections between different scales of observation and between different influential variables. They offer access to levels that the technical methods of visual or acoustic analysis cannot access, and they combine theoretical considerations and empirical data. However, two further sets of problems have to be considered in this context which exceed the difficulties that I mentioned in the previous chapter – namely the question of viewpoint, the feasibility of convincing experiments in research aquariums, and the revealing of visual ‘invisibilities’ by acoustic methods. One issue concerns the ways in which the relationality of schools could be converted into models and how to measure the epistemic value of such models in conjunction with other forms of knowledge production in the field of biology.

Type
Chapter
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Zootechnologies
A Media History of Swarm Research
, pp. 183 - 228
Publisher: Amsterdam University Press
Print publication year: 2019

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  • Formulas
  • Sebastian Vehlken
  • Book: Zootechnologies
  • Online publication: 21 November 2020
  • Chapter DOI: https://doi.org/10.1017/9789048537426.005
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  • Formulas
  • Sebastian Vehlken
  • Book: Zootechnologies
  • Online publication: 21 November 2020
  • Chapter DOI: https://doi.org/10.1017/9789048537426.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Formulas
  • Sebastian Vehlken
  • Book: Zootechnologies
  • Online publication: 21 November 2020
  • Chapter DOI: https://doi.org/10.1017/9789048537426.005
Available formats
×