Allometrical Analysis on Some Somatic Sizes in Relation to Stature and Hip Girth (Part 1):Allometry of Lower Limb Length, Posterior Arm Length, Waist Length and Posterior Shoulder Length to Stature

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The allometry equation y= bxα was applied to the relation between stature and some measurments concerning the garment design obtained from 7, 000 males and 7, 000 females aged from 7 to 20 years. After obtaining equilibrium constants (reduced major axis) and critical points, the following observations were made : 1) All kinds of allometry studied were triphasic but one exception, waist length in females, which was quatrophasic. 2) In males, the first critical point appeared at the stature 138 cm in cases of posterior arm length and waist length, and at 145 cm in cases of lower limb length and posterior shoulder length. The second critical point appeared at about 160 cm. In females, the first critical point appeared at 127 cm in cases of posterior arm length and waist length, and at 131 cm in cases of lower limb length and posterior shoulder length. The second critical point appeared at 140-150 cm. 3) In males 145-160 cm high in stature, the upper and lower limb lengths showed negative allometry, while the trunk length and trunk breadth positive allometry. In females 130-140 cm high in stature, the upper and lower limb lengths showed positive allometry and the trunk length and trunk breadth negative allometry, although upper and lower limb lengths and trunk length were approximately isometric.
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