Symmetry (Mar 2010)

Fluctuating Asymmetry: Methods, Theory, and Applications

  • John H. Graham,
  • Shmuel Raz,
  • Hagit Hel-Or,
  • Eviatar Nevo

DOI
https://doi.org/10.3390/sym2020466
Journal volume & issue
Vol. 2, no. 2
pp. 466 – 540

Abstract

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Fluctuating asymmetry consists of random deviations from perfect symmetry in populations of organisms. It is a measure of developmental noise, which reflects a population’s average state of adaptation and coadaptation. Moreover, it increases under both environmental and genetic stress, though responses are often inconsistent. Researchers base studies of fluctuating asymmetry upon deviations from bilateral, radial, rotational, dihedral, translational, helical, and fractal symmetries. Here, we review old and new methods of measuring fluctuating asymmetry, including measures of dispersion, landmark methods for shape asymmetry, and continuous symmetry measures. We also review the theory, developmental origins, and applications of fluctuating asymmetry, and attempt to explain conflicting results. In the process, we present examples from the literature, and from our own research at “Evolution Canyon” and elsewhere.

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