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Allen's rule
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==Explanation== [[File:Allen_rule_example.svg|thumb|Three rectangular prisms are each composed of eight [[unit cube]]s. A composite cube with a side of 2 has a volume of 8 units<sup>3</sup> but a surface area of only 24 units<sup>2</sup>. A rectangular prism two cubes wide, one cube long and four cubes tall has the same volume, but a surface area of 28 units<sup>2</sup>. Stacking them in a single column gives 34 units<sup>2</sup>.]] Allen's rule predicts that [[endotherm|endothermic]] animals with the same body volume should have different [[surface area]]s that will either aid or impede their heat dissipation. Because animals living in cold climates need to conserve as much heat as possible, Allen's rule predicts that they should have evolved comparatively low [[surface area-to-volume ratio]]s to minimize the surface area by which they dissipate heat, allowing them to retain more heat. For animals living in warm climates, Allen's rule predicts the opposite: that they should have comparatively high ratios of surface area to volume. Because animals with low surface area-to-volume ratios would overheat quickly, animals in warm climates should, according to the rule, have high surface area-to-volume ratios to maximize the surface area through which they dissipate heat.<!--Starting on page 67, Ashizawa et al. (2007) said, "Such differences are possibly related to differentiation of the so-called 'race' during human population dispersals, and are classically interpreted following Allen's rule (Allen, 1877). The latter can be very briefly summarized as follows: a homeothermic animal living in a hot climate has a smaller body volume-to-surface area ratio, and vice versa, as a result of thermal adaptation. Much more briefly it holds that animals adapted to cold have shorter limbs and protruding body parts."--><ref name="Ashizawa">Ashizawa, K. et al. (2007). Growth of height and leg length of children in Beijing and Xilinhot, China. In Anthropological Science. 116(1). Pages 67 & 68. Retrieved January 22, 2017, from [https://www.jstage.jst.go.jp/article/ase/116/1/116_070130/_pdf link].</ref>[[File:Comparison of surface area vs volume of shapes.svg|thumb|Graphs of {{nowrap|surface area, ''A''}} against {{nowrap|volume, ''V''}} of the Platonic solids and a sphere, showing that rounder shapes with the same volume have a smaller surface area.]]
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