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Biological Cybernetics

, Volume 97, Issue 1, pp 47–61 | Cite as

Animal navigation: the difficulty of moving in a straight line

  • Allen CheungEmail author
  • Shaowu Zhang
  • Christian Stricker
  • Mandyam V. Srinivasan
Original Paper

Abstract

In principle, there are two strategies for navigating a straight course. One is to use an external directional reference and continually reorienting with reference to it, while the other is to infer body rotations from internal sensory information only. We show here that, while the first strategy will enable an animal or mobile agent to move arbitrarily far away from its starting point, the second strategy will not do so, even after an infinite number of steps. Thus, an external directional reference—some form of compass—is indispensable for ensuring progress away from home. This limitation must place significant constraints on the evolution of biological navigation systems. Some specific examples are discussed. An important corollary arising from the analysis of compassless navigation is that the maximum expected displacement represents a robust measure of the straightness of a path.

Keywords

Random Walk Step Length Mobile Agent Path Integration Angular Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Allen Cheung
    • 1
    Email author
  • Shaowu Zhang
    • 1
  • Christian Stricker
    • 2
  • Mandyam V. Srinivasan
    • 1
  1. 1.Centre of Excellence in Vision Science, Research School of Biological SciencesAustralian National UniversityCanberraAustralia
  2. 2.John Curtin School of Medical ResearchAustralian National UniversityCanberraAustralia

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