Abstract
Allometry in the strictest biometrical sense—size-correlated differences in shape — explains nothing. It is also not a biological “principle” (Smith, 1980; Jungers, 1984; Jungers et al., 1995; contra Gould, 1975; contra Martin, 1993). Rather, allometry is merely a quantitative description or signal that may or may not serve to test an explicit hypothesis. Without explicit hypotheses of how and why things should change as a function of body size (i.e., similarity criteria), allometry cannot be diagnosed except with respect to the statistical, dimensional null hypothesis of “isometry” or geometric similarity. In special circumstances, isometry can itself be a hypothetical criterion of biological similarity (Alexander et al., 1979; Biewener, 1990; Prothero, 1992). If such criteria cannot be specified and justified a priori, it also follows that even when allometry is discovered, it cannot be assumed that the observed size-correlated differences are evidence of size-required changes sufficient to insure “functional equivalence” (Smith, 1980). Empirical lines used to describe allometric patterns of interspecific scaling can rarely, if ever, be rationalized into meaningful, adaptive “criteria of subtraction” for the subsequent analysis of residuals (Smith, 1984; Jungers et al., 1995). The scaling of mammalian long-bone dimensions makes these points clearly and unequivocally: although long bone robusticity is expected to increase with body size according to most biomechanical theories, positively allometric distortions in the shape of the long bones of larger vertebrates do not produce functional equivalence in any mechanical or behavioral sense. To the contrary, further behavioral and structural modifications are still required to maintain adequate safety factors at larger body sizes (Biewener, 1982, 1990; Rubin and Lanyon, 1984; Selker and Carter, 1989; Bertram and Biewener, 1990; Demes and Jungers, 1993; Jungers and Burr, 1994).
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References
Aiello LC (1981) The allometry of primate body proportions. Symp. Zool. Soc. Lond. 48:331–358.
Alexander R McN (1980) Forces in animal joints. Engineering in Medicine 9:93–97.
Alexander R McN (1983) On the massive legs of a Moa (Pachyornis elephantopus, Dinornithes). J. Zool., Lond. 201:363–376.
Alexander R McN (1985a) The maximum forces exerted by animals. J. exp. Biol. 115:231–238.
Alexander R McN (1985b) Body size and limb design in primates and other mammals. In WL Jungers (ed.): Size and Scaling in Primate Biology. New York: Plenum Press, pp. 337–343.
Alexander R McN (1988) Elastic Mechanisms in Animal Movement. Cambridge: Cambridge University Press.
Alexander R McN (1989) Mechanics of fossil vertebrates. J. Geol. Soc. Lond. 146:41–52.
Alexander R McN (1991) Elastic mechanisms in primate locomotion. Z. Morph. Anthropol. 78:315–320.
Alexander R McN, Jayes AS, Maloiy GMO, and Wathuta EM (1979) Allometry of the limb bones of mammals from shrews (Sorex) to elephant (Loxodonta). J. Zool., Lond. 189:305–314.
Alexander R McN, and Maloiy GMO (1984) Stride lengths and stride frequencies of primates. J. Zool., Lond. 202:577–582.
Bertram JEA, and Biewener AA (1990) Differential scaling of the long bones in the terrestrial Carnivora and other mammals. J. Morph. 204:157–169.
Biewener AA (1982) Bone strength in small mammals and bipedal birds: Do safety factors change with body size? J. exp. Biol. 98:289–301.
Biewener AA (1989) Mammalian terrestrial locomotion and size. BioSci. 39:776–783.
Biewener AA (1990) Biomechanics of mammalian terrestrial locomotion. Science 250:1097–1103.
Biewener AA (1991) Musculoskeletal design in relation to body size. J. Biomech. 24(suppl. 1): 19–29.
Biewener AA (1993) Safety factors in bone strength. Calcif. Tissue Int. 53 (suppl.):S68–S74.
Biknevicius AR (1993) Biomechanical scaling of limb bones and differential limb use in caviomorph rodents. J. Mammal. 74:95–107.
Burr DB, Ruff CB, and Johnson C (1989) Structural adaptations of the femur and humerus to arboreal and terrestrial environments in three species of macaque. Am. J. Phys. Anthropol. 79:357–368.
Cant JGH (1994) Positional behavior of arboreal primates and habitat compliance. In B Thierry (ed.): Current Primatology, Vol. 1. Ecology and Evolution. Strasbourg: Université Louis Pasteur, pp. 187–193.
Casinos A, Bou J, Castiella MJ, and Viladiu C (1986) On the allometry of long bones in dogs. J Morph. 190:73–79.
Clarke MRB (1980) The reduced major axis of a bivariate sample. Biometrika 67:441–446.
Cleveland WS (1981) LOWESS: A program for smoothing scatterplots by robust locally weighted regression. Amer. Statistician 35:54.
Crompton RH, Sellers WI, and Gunther MM (1993) Energetic efficiency and ecology as selective forces in the saltatory adaptation of prosimian primates. Proc. Roy. Soc. Lond.(B) 254:41–45.
Demes B, and Jungers WL (1993) Long bone cross-sectional dimensions, locomotor adaptations and body size in prosimian primates. J Hum. Evol. 25:57–74.
Demes B, Jungers WL, Gross TS, and Fleagle JG (1995) Kinetics of leaping primates: Influence of substrate orientation and compliance. Am. J. Phys. Anthropol. 96:419–430.
Demes B, Larson SG, Stern JT Jr., Jungers WL, Biknevicius AR, and Schmitt D (1994) The kinetics of primate quadrupedalism: “hindlimb drive” reconsidered. J. Hum. Evol. 26:353–374.
Demes B, Jungers WL, and Selpien K (1991) Body size, locomotion, and long bone cross-sectional geometry in indriid primates. Am. J. Phys. Anthropol. 86:537–547.
Economos AC (1983) Elastic and/or geometric similarity in mammalian design? J. Theor. Biol. 103:167–172.
Felsenstein J (1985) Phylogenies and the comparative method. Am. Natur. 125:1–15.
Fleagle JG (1988) Primate Adaptation and Evolution. New York: Academic Press.
Gautier-Hion A (1975) Dimorphisme sexuel et organisation sociale chez les cercopithecines forestiers Africains. Mammalia 39:365–374.
Gilbert JA, Skrzynski MC, and Lester GE (1989) Cross-sectional moment of inertia of the distal radius from absorptiometric data. J. Biomech. 22:751–754.
Gould SJ (1975) On the scaling of tooth size in mammals. Am. Zool. 15:351–362.
Grine FE, Jungers WL, Tobias PV, and Pearson OM (1995) Fossil Homo femur from Berg Aukas, Northern Namibia. Am. J. Phys. Anthropol. 97:151–185.
Hardie W (1990) Applied Nonparametric Regression. Cambridge: Cambridge Universityn Press.
Hildebrand M (1967) Symmetrical gaits of primates. Am. J. Phys. Anthropol. 26:119–130.
Hokkanen JEI (1986) Notes concerning elastic similarity. J. Theor. Biol. 120:499–501.
Jolicoeur P, and Mosimann JE (1968) Intervalles de confiance pour la pente de l’axe majeur d’une distribution normale bidimensionnelle. Biom.-Praxim. 9:121–140.
Jolly CJ (1972) The classification and natural history of Theropithecus (Simopithecus) (Andrews, 1916), baboons of the African Plio-Pleistocene. Bull. Brit. Mus. (Nat. Hist.) Geol. Ser. 22:1–123.
Jungers WL (1984) Aspects of size and scaling in primate biology with special reference to the locomotor skeleton. Yrbk. Phys. Anthropol. 27:73–97.
Jungers WL, and Burr DB (1994) Body size, long bone geometry and locomotion in quadrupedal monkeys. Z. Morph. Anthropol. 80:89–97.
Jungers WL, Falsetti AB, and Wall CE (1995) Shape, relative size, and size-adjustments in morphometrics. Yrbk. Phys. Anthropol. 38:137–161.
Jungers WL and Minns RJ (1979) Computed tomography and biomechanical analysis of fossil long bones. Am. J. Phys. Anthropol. 50:285–290.
Kimura T (1991) Long and robust limb bones of primates. In A Ehara (ed.): Primatology Today. Amsterdam: El-sevier Science Publishers, pp. 495–498.
Kimura T, Okada M, and Ishida H (1979) Kinesiological characteristics of primate walking: its significance in human walking. In M Morbeck, H Preuschoft, and N Gomberg (eds.): Environment, Behavior and Morphology: Dynamic Interactions in Primates. New York: Fischer, pp. 297–311.
Martin RB (1991) Determinants of the mechanical properties of bones. J. Biomech. 24 (suppl. 1):79–88.
Martin RB, and Burr DB (1984) Non-invasive measurement of long bone cross-sectional moments of inertia by photon absorptiometry. J. Biomech. 17:195–201.
Martin RD (1993) Allometric aspects of skull morphology in Theropithecus. In NG Jablonski (ed.): Theropithecus. The Rise and Fall of a Primate Genus. Cambridge: Cambridge University Press, pp. 273–298.
McArdle BH (1988) The structural relationship: regression in biology. Can. J. Zool. 66:2329–2339.
McGraw WS (1996) The positional behavior and habitat use of six sympatric monkeys in the Tai Forest, Ivory Coast. Ph.D Dissertation, State University of New York at Stony Brook.
McMahon TA (1973) Size and shape in biology. Science 179:1201–1204.
McMahon TA (1975) Using body size to understand the structural design of animals: quadrupedal locomotion. J. Appl. Physiol. 39:619–627.
McMahon TA (1984) Muscles, Reflexes, and Locomotion. Princeton: Princeton University Press.
Mosimann JE, and James FC (1979) New statistical methods for allometry with applications to Florida red-winged blackbirds. Evolution 23:444–459.
Polk JD, Demes B, Jungers WL, Heinrich RE, Biknevicius AR, and Runestad JA (1997) Cross-sectional properties of primate and nonprimate limb bones. Am. J. Phys. Anthropol., suppl. 24:188.
Prange HD (1977) The scaling and mechanics of arthropod exoskeletons. In TJ Pedley (ed.): Scale Effects in Animal Locomotion. London: Academic Press, pp. 169–181.
Prothero J (1992) Scaling of bodily proportions in adult terrestrial mammals. Am. J. Physiol. 262:R492–R503.
Rayner JMV (1985) Linear relationships in biomechanics: the statistics of scaling functions. J. Zool., Lond. 206:415–439.
Reynolds TR (1985) Stress on the limbs of quadrupedal primates. Am. J. Phys. Anthropol. 67:351–362.
Ricker WE (1984) Computation and uses of central trend lines. Can. J. Zool. 62:1897–1905.
Rose MD (1993) Functional anatomy of the elbow and forearm in primates. In DL Gebo (ed.): Postcranial Adaptation in Nonhuman Primates. DeKalb: Northern Illinois University Press, pp. 70–95.
Rowe N (1996) The Pictorial Guide to the Living Primates. East Hampton: Pogonias Press.
Rubin CT (1984) Skeletal strain and the functional significance of bone architecture. Calcif. Tissue Int. 36:S11–S18.
Rubin CT, and Lanyon LE (1984) Dynamic strain similarity in vertebrates: an alternative to allometric limb bone scaling. J. Theor. Biol. 107:321–327.
Ruff CB (1987) Structural allometry of the femur and tibia in Hominoidea and Macaca. Folia Primatol. 48:9–49.
Ruff CB (1989) New approaches to structural evolution of limb bones in primates. Folia Primatol. 53:142–159.
Ruff CB and Runestad JA (1992) Primate limb bone structural adaptations. Ann. Rev. Anthropol. 21:407–433.
Ruff CB, Trinkaus E, Walker A, and Larsen CP (1993) Postcranial robusticity in Homo. I: Temporal trends and mechanical interpretation. Am. J. Phys. Anthropol. 91:21–53.
SAS (1985) SAS Users’s Guide: Statistics, Version 5. Cary: SAS Institute Inc.
Schaffler MB, Burr DB, Jungers WL, and Ruff CB (1985) Structural and mechanical indicators of limb specialization in primates. Folia Primatol. 45:61–75.
Schmitt D (1994) Forelimb mechanics as a function of substrate type during quadrupedalism in two anthropoid primates. J. Hum. Evol. 26:441–458.
Schmitt D (1995) A kinematic and kinetic analysis of forelimb use during arboreal and terrestrial quadrupedalism in Old World monkeys. Ph.D Dissertation, State University of New York at Stony Brook.
Schmitt D (this volume) Forelimb mechanics during arboreal and terrestrial quadrupedalism in primates. In E Strasser, JG Fleagle, AL Rosenberger, and HM McHenry (eds.) Primate Locomotion: Recent Advances. New York: Plenum Press, pp. 175-200.
Schultz AH (1970) The comparative uniformity of the Cercopithecoidea. In J Napier and P Napier (eds.): Old World Monkeys. New York: Academic Press, pp. 39–51.
Selker F, and Carter DR (1989) Scaling of long bone fracture strength with animal mass. J. Biomech. 22:1175–1183.
Shapiro LJ, Anapol FC, and Jungers WL (1997) Interlimb coordination, gait, and neural control of quadrupedal ism in chimpanzees. Am. J. Phys. Anthropol. 102:177–186.
Smith RJ (1980) Rethinking allometry. J. Theor. Bio. 87:97–111.
Smith RJ (1984) Determination of relative size: the “criterion of subtraction” problem in allometry. J. Theor. Bio. 108:131–142.
Smith RJ (1994) Degrees of freedom in interspecific allometry: an adjustment for the effects of phylogenetic constraint. Am. J. Phys. Anthropol. 93:95–107.
Smith RJ, and Jungers WL (1997) Body mass in comparative primatology. J. Hum. Evol. 32:523–559.
Strasser E (1992) Hindlimb proportions, allometry, and biomechanics in Old World monkeys (Primates, Cercopithecidae). Am. J. Phys. Anthropol. 87:187–213.
Strasser E and Delson E (1987) Cladistic analysis of cercopithecid relationships. J. Hum. Evol. 16:81–99.
Swartz SM (1990) Curvature of the forelimb bones of anthropoid primates: overall patterns and specializations in suspensory species. Am. J. Phys. Anthropol. 83:477–498.
Tsutakawa RK, and Hewett JE (1977) Quick test for comparing two populations with bivariate data. Biometrics 33:215–219.
Van der Meulen MCH, and Carter DR (1995) Developmental mechanics determine long bone allometry. J. Theor. Biol. 172:323–327.
Yezerinac SM, Lougheed SC, and Handford P (1992) Measurement error and morphometric studies: statistical power and observer experience. Syst. Bio. 41:471–482.
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Jungers, W.L., Burr, D.B., Cole, M.S. (1998). Body Size and Scaling of Long Bone Geometry, Bone Strength, and Positional Behavior in Cercopithecoid Primates. In: Strasser, E., Fleagle, J.G., Rosenberger, A.L., McHenry, H.M. (eds) Primate Locomotion. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0092-0_17
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