Allometry
From The Art and Popular Culture Encyclopedia
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On Growth and Form (1917) is a book by D'Arcy Wentworth Thompson.
D'Arcy's most famous work, On Growth and Form was written in Dundee, mostly in 1915, though wartime shortages and D'Arcy's many last-minute alterations delayed publication until 1917. The central theme of On Growth and Form is that biologists of its author's day overemphasized evolution as the fundamental determinant of the form and structure of living organisms, and underemphasized the roles of physical laws and mechanics. He advocated structuralism as an alternative to survival of the fittest in governing the form of species.
On the concept of allometry, the study of the relationship of body size and shape, Thompson wrote:
- "An organism is so complex a thing, and growth so complex a phenomenon, that for growth to be so uniform and constant in all the parts as to keep the whole shape unchanged would indeed be an unlikely and an unusual circumstance. Rates vary, proportions change, and the whole configuration alters accordingly."
Thompson pointed out example after example of correlations between biological forms and mechanical phenomena. He showed the similarity in the forms of jellyfish and the forms of drops of liquid falling into viscous fluid, and between the internal supporting structures in the hollow bones of birds and well-known engineering truss designs. His observations of phyllotaxis (numerical relationships between spiral structures in plants) and the Fibonacci sequence has become a textbook staple.
Perhaps the most famous part of the work is chapter XVII, "The Comparison of Related Forms," where Thompson explored the degree to which differences in the forms of related animals could be described by means of relatively simple mathematical transformations.
Utterly sui generis, the book has never conformed to the mainstream of biological thought. It does not really include a single unifying thesis, nor, in many cases, does it attempt to establish a causal relationship between the forms emerging from physics with the comparable forms seen in biology. It is a work in the "descriptive" tradition; Thompson did not articulate his insights in the form of experimental hypotheses that can be tested. Thompson was aware of this, saying that "This book of mine has little need of preface, for indeed it is 'all preface' from beginning to end."
This huge (the current Dover edition is 1116pp long), classically composed and extensively illustrated tome has enchanted and stimulated several generations of biologists, architects, artists, mathematicians, and, of course, those working on the boundaries of these disciplines. There is a shorter (328pp) edition which preserves most of the material that is of interest to the modern reader.
