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Allometry

# Allometry - Allometry the study of the relationship between...

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Unformatted text preview: Allometry: the study of the relationship between size and shape • Galileo, 1636: Discorsi Allometry of Stegosaur plates Allometry in Tyrannosaurus forelegs • Adaptive explanations • Allometry in combination with Cope’s Rule Surface/volume considerations and Allometry Assume a spherical cow . . . • Surface area of sphere: 4 π r 2 • Volume of sphere: 4/3 π r 3 Julian Huxley and Georges Tessier SIZE OF STRUCTURE (e.g. weight of fiddler crab claw) SIZE OF BODY (e.g. weight of fiddler crab) Positive allometry field (a > 1) Negative allometry field (a < 1) • Exponential form y=bx a • Linear form: log(y) = a log(x)+log(b) Surface/volume and respiration in arthropods Problems of scaling to larger size Problems of scale at smaller size Surface/volume and locomotion • Surface area of wings vs mass • Cross sectional surface area of legs vs mass The “Irish Elk” • Actually a deer • Lived across N. Europe and Asia But a very large deer . . . Antler span up to 12 feet Prospecting for fossil Megaloceras in Irish peat bogs Allometry in the white-tailed deer • Allometry can be measured within a species, usually by comparing juveniles to adults Allometry in Megaloceras • Allometry of antler size comparing adults of different species of deer • “M” indicates the Irish Elk, Megaloceras Negative allometry of metabolic heat production on body weight Do we really have big brains? • Allometric curve has slope of 0.667, indicating the real relationship is between surface area of brain and size of animal • Reptiles have the same slope, lower intercept on the y axis Primate brain weights plotted on the same field • The real measure of...
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Allometry - Allometry the study of the relationship between...

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