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A quadratic approach to allometry yields promising results for the study of growth

Etienne Geraert (UGent)
(2016) BELGIAN JOURNAL OF ZOOLOGY. 146(1). p.14-20
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Abstract
Julian HUXLEY (1924) came to the conclusion that intra-specific growth usually follows a sequence of power curves. So HUXLEY claimed that during growth sudden changes in the growth rate can occur. The restudy of his material, however, reveals that his observations closely follow single quadratic curves. As a result the intra-specific allometry studied by HUXLEY is comparable to ontogenetic allometry. The quadratic factor of the quadratic equations obtained, represents the growth rate; it shows the constant increase (positive factor) or decrease (minus factor) of one of the measurements for a constant increase in the other measurement with which it is compared. The quadratic factor explains the entire growth process and is the same for the smaller (younger) and larger (older) specimens. It could probably permit the prediction of the shape of larger and/or smaller animals not yet found, or give a clue to some evolutionary changes. By using the quadratic parabola there is no need to postulate "sudden changes in the growth curve" and so it appears that HUXLEY's power curve can be abandoned.
Keywords
Huxley, allometry, parabolic curve, quadratic equation, stag beetle, shore crab, CONSTANT, SIZE

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Citation

Please use this url to cite or link to this publication:

Chicago
Geraert, Etienne. 2016. “A Quadratic Approach to Allometry Yields Promising Results for the Study of Growth.” Belgian Journal of Zoology 146 (1): 14–20.
APA
Geraert, E. (2016). A quadratic approach to allometry yields promising results for the study of growth. BELGIAN JOURNAL OF ZOOLOGY, 146(1), 14–20.
Vancouver
1.
Geraert E. A quadratic approach to allometry yields promising results for the study of growth. BELGIAN JOURNAL OF ZOOLOGY. 2016;146(1):14–20.
MLA
Geraert, Etienne. “A Quadratic Approach to Allometry Yields Promising Results for the Study of Growth.” BELGIAN JOURNAL OF ZOOLOGY 146.1 (2016): 14–20. Print.
@article{7251796,
  abstract     = {Julian HUXLEY (1924) came to the conclusion that intra-specific growth usually follows a sequence of power curves. So HUXLEY claimed that during growth sudden changes in the growth rate can occur. The restudy of his material, however, reveals that his observations closely follow single quadratic curves. As a result the intra-specific allometry studied by HUXLEY is comparable to ontogenetic allometry. The quadratic factor of the quadratic equations obtained, represents the growth rate; it shows the constant increase (positive factor) or decrease (minus factor) of one of the measurements for a constant increase in the other measurement with which it is compared. The quadratic factor explains the entire growth process and is the same for the smaller (younger) and larger (older) specimens. It could probably permit the prediction of the shape of larger and/or smaller animals not yet found, or give a clue to some evolutionary changes. By using the quadratic parabola there is no need to postulate {\textacutedbl}sudden changes in the growth curve{\textacutedbl} and so it appears that HUXLEY's power curve can be abandoned.},
  author       = {Geraert, Etienne},
  issn         = {0777-6276},
  journal      = {BELGIAN JOURNAL OF ZOOLOGY},
  language     = {eng},
  number       = {1},
  pages        = {14--20},
  title        = {A quadratic approach to allometry yields promising results for the study of growth},
  volume       = {146},
  year         = {2016},
}

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