Ontogenetic Allometry and Scaling

A Discussion Based on the Growth and Form of the Skull in African Apes
  • Brian T. Shea
Part of the Advances in Primatology book series (AIPR)

Abstract

The two great syntheses that established the study of allometry were D’Arcy Thompson’s (1917, 1942, 1961) On Growth and Form and Julian Huxley’s (1932) Problems of Relative Growth. The bulk of Thompson’s volume dealt with the mechanical and physical factors underlying shape transformation. In his chapter entitled “The rate of growth, ” however, Thompson (1942, p. 79) stressed that “the form of an organism is determined by its rate of growth in various directions; hence rate of growth deserves to be studied as a necessary preliminary to the theoretical study of form.” Huxley’s (1932) work built on Thompson’s foundation through extensive empirical and theoretical investigations of relative, or differential, growth in organisms. Huxley showed that a simple power function, Y = bX k , could often describe correlated changes between growing parts (X and Y) of the body. He also analyzed ontogenetic allometry (relative growth, or heterogony, as Huxley labeled it) in terms of growth gradients, taxonomy, genetics, and evolutionary transformations. Huxley’s approach to the study of size and shape, there fore, was explicitly rooted in the analysis of growing form; we often term this growth allometry, in order to distinguish it from size allometry, which focuses on allometric changes in static adult series (Simpson, et al., 1960).

Keywords

Covariance Respiration Pleistocene Crest Tempo 

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References

  1. Alberch, P. 1980. Ontogenesis and morphological diversification. Am. Zool. 20: 653–667.Google Scholar
  2. Alberch, P. 1981. Convergence and parallelism in foot morphology in the neotropical salamander genus Bolitoglossa. I. Function. Evolution 35: 84–100.Google Scholar
  3. Alberch, P., and Alberch, J. 1981. Heterochronic mechanisms of morphological diversification and evolutionary change in the neotropical salamander, Bolitoglossa occidentalis. J. Morphol. 161: 249–264.Google Scholar
  4. Alberch, P., Gould, S. J., Oster, G. F., and Wake, D. B. 1979. Size and shape in ontogeny and phylogeny. Paleobiology 5: 296–317.Google Scholar
  5. Albrecht, G. H. 1981. Double regression adjustment for within-group versus between-group allometric scaling in morphometrics. Am. J. Phys. Anthropol.. 54: 196 (abstract).Google Scholar
  6. Atchley, W., and Rutledge, J. 1980. Genetic components of size and shape. I. Dynamics of components of phenotypic variability and covariability during ontogeny in the laboratory rat. Evolution 34: 1161–1173.Google Scholar
  7. Atchley, W., Rutledge, J., and Cowley, D. 1981. Genetic components of size and shape. II. Multivariate covariance patterns in the rat and mouse skull. Evolution 35: 1037–1055.Google Scholar
  8. Biegert, J. 1957. Der Formwandel des Primatenschadels und seine Beziehungen zur ontogenetischen Enwicklung und den phylogenetischen Spezialisation der Kopforgane. Mor phol. Jahrb. 98: 77–199.Google Scholar
  9. Biegert, J. 1963. The evaluation of characteristics of the skull, hands and feet for primate taxonomy, in: Classification and Human Evolution (S. L. Washburn, ed.), pp. 116–145, Aldine, Chicago.Google Scholar
  10. Bock, W.J. 1980. The definition and recognition of biological adaptation. Am. Zool. 20: 218–227.Google Scholar
  11. Bonner, J. T. 1968. Size change in development and evolution. J. Paleontol 42(5): 1–15.Google Scholar
  12. Bonner, J. T. (ed.). 1982. Evolution and Development. Springer-Verlag, New York.Google Scholar
  13. Cheverud, J. M. 1981. Epiphyseal union and dental eruption in Macaca mulatta. Am. J. Phys. Anthropol.. 56: 157–168.Google Scholar
  14. Cheverud, J. M. 1982. Relationships among ontogenetic, static, and evolutionary allometry. Am. J. Phys. Anthropol. 58: 1–11.Google Scholar
  15. Clutton-Brock, T. H., and Harvey, P. H. 1979a;. Comparison and adaptation. Proc. R. Soc. Lond. B 205: 547–565.Google Scholar
  16. Clutton-Brock, T. H., and Harvey, P. H. 1979b. Home range size, population density, and phylogeny in primates, in: Primate Ecology and Human Origins (I. S. Bernstein and E. O. Smith, eds.), pp. 201–214, Garland Press, New York.Google Scholar
  17. Cock, A. G. 1966. Genetical aspects of metrical growth and form in animals. Q. Rev. Biol. 41: 131190Google Scholar
  18. Corruccini, R. S. 1972. Allometry correction in taximetrics. Syst. Zool. 21: 375–383.Google Scholar
  19. Corruccini, R. S. 1978. Morphometric analyses: Uses and abuses. Yearb. Phys. Anthropol. 21: 134150.Google Scholar
  20. Davenport, C. B. 1934. Critiques of curves of growth and relative growth. Cold Spring Harbor Symp. Quant. Biol. 2: 203–208.Google Scholar
  21. De Beer, G. R. 1958. Embryos and Ancestors, Clarendon Press, Oxford.Google Scholar
  22. Delsol, M. 1977. Embryogenesis, morphogenesis, genetics and evolution, in: Major Patterns of Vertebrate Evolution (M. K. Hecht, P. C. Goody, and B. M. Hecht, eds.), pp. 119–138, Plenum Press, New York.Google Scholar
  23. Dixson, A. F. 1981. The Natural History of the Gorilla, Columbia University Press, New York.Google Scholar
  24. Dodson, P. 1975a. Functional and ecological significance of relative growth in Alligator. J. Zool. Lond. 175: 315–355.Google Scholar
  25. Dodson, P. 1975b. Relative growth in two sympatric species of Sceloporus. Am. Midl. Nat. 94(2) : 421–450.Google Scholar
  26. Dodson, P. 1975c. Taxonomic implications of relative growth in lambeosaurine hadrosaurs. Syst. Zool. 24: 37–54.Google Scholar
  27. Dodson, P. 1976. Quantitative aspects of relative growth and sexual dimorphism in Protoceratops. J. Paleontol. 50: 929–940.Google Scholar
  28. DuBrul, E. L. 1977. Early hominid feeding mechanisms. Am. J. Phys. Anthropol. 47: 305–320.PubMedGoogle Scholar
  29. Dullemeijer, P., and Barel, C. D. N. 1977. Functional morphology and evolution, in: Major Patterns of Vertebrate Evoluation (M. K. Hecht, P. C. Goody, and B. M. Hecht, eds.), pp. 83 117, Plenum Press, New York.Google Scholar
  30. Frazzetta, T. H. 1975. Complex Adaptations in Evolving Populations, Sinauer, Sunderland, Massa chusetts.Google Scholar
  31. Freedman, L. 1962. Growth of muzzle length relative to calvaria length in Papio. Growth 26: 117 – 128.Google Scholar
  32. Gelvin, B. R. 1981. Size correcting properties of some anthopometric data transformation tech niques. Am. J. Phys. Anthropol.. 54: 224 (abstract).Google Scholar
  33. Giles, E. 1956. Cranial allometry in the great apes. Hum. Biol. 28: 43–58.PubMedGoogle Scholar
  34. Gould, S. J. 1966. Allometry and size in ontogeny and phylogeny. Biol. Rev. 41: 587–640.PubMedGoogle Scholar
  35. Gould, S. J. 1968. Ontogeny and the explanation of form: An allometric analysis, in: Paleobiological Aspects of Growth and Development, A Symposium (D. B. Macurda, ed.). Paleontol. Soc. Mem. 2: 81–98.Google Scholar
  36. Gould, S.J. 1969. An evolutionary microcosm: Pleistocene and Recent history of the land snail P. (Poecilozonites) in Bermuda. Bull. Mus. Comp. Zool. 138: 407–532.Google Scholar
  37. Gould, S. J. 1971a. D’Arcy Thompson and the science of form. New Lit. Hist. 2: 229–258.Google Scholar
  38. Gould, S. J. 19716. Geometric scaling in allometric growth: A contribution to the problem of scaling in the evolution of size. Am. Nat. 105: 113–136.Google Scholar
  39. Gould, S. J. 1974. The evolutionary significance of “bizarre” structures: Antler size and skull size in the “Irish Elk, ” Megaloceros giganteus. Evolution 28: 191–220.Google Scholar
  40. Gould, S. J. 1975a. Allometry in primates, with emphasis on scaling and the evolution of the brain, in: Approaches to Primate Paleobiology (Contrib. Primatol., Vol. 5, F. Szalay, ed.), pp. 244–292, S. Karger, Basel.Google Scholar
  41. Gould, S. J. 19756. On the scaling of tooth size in mammals. Am. Zool. 15: 351–362.Google Scholar
  42. Gould, S.J. 1977. Ontogeny and Phylogeny, Harvard University Press, Cambridge.Google Scholar
  43. Gould, S. J. 1980. The evolutionary biology of constraint. Daedalus 109(2): 39–52.Google Scholar
  44. Gould, S. J., and Lewontin, R. C. 1979. The spandrels of San Marco and the Panglossian paradigm: A critique of the adaptationist programme. Proc. Roy. Soc. Lond. B 205: 581–598.Google Scholar
  45. Gould, S. J., and Vrba, E. S. 1982. Exaptation—A missing term in the science of form. Paleobiology 8(1): 4–15.Google Scholar
  46. Goss, R. J. 1964. Adaptive Growth, Academic Press, New York.Google Scholar
  47. Grine, F. E. 1981. Trophic differences between ‘gracile’ and ‘robust’ australopithecines: A scanning electron microscope analysis of occlusal events. S. Afr. J. Sci. 77: 203–230.Google Scholar
  48. Grine, F. E., Hahn, B. D., and Gow, C. E. 1978. Aspects of relative growth and variability in Diademodon (Reptilia: Therapsida). S. Afr. J. Sci. 74: 50–58.Google Scholar
  49. Huxley, J. S. 1932. Problems of Relative Growth, Methuen, London.Google Scholar
  50. Hylander, W. L. 1979. The functional significance of primate mandibular form. J. Morphol. 160: 223–240.PubMedGoogle Scholar
  51. Jerison, H. J. 1973. Evolution of the Brain and Intelligence, Academic Press, New York.Google Scholar
  52. Johanson, D. C., and White, T. D. 1979. A systematic assessment of early African hominids. Science 202: 321–330.Google Scholar
  53. Jungers, W. L., and Fleagle, J. G. 1980. Postnatal growth allometry of the extremities in Cebus albifrons and Cebus apella: A longitudinal and comparative study. Am. J. Phys. Anthropol.. 53: 471–478.PubMedGoogle Scholar
  54. Katz, M.J. 1980. Allometry formula: A cellular model. Growth 44: 89–96.PubMedGoogle Scholar
  55. Kowalski, C. J., and Guire, K. E. 1974. Longitudinal data analysis. Growth 38: 131–169.PubMedGoogle Scholar
  56. Krogman, W. M. 1931a. Studies in growth changes in the skull and face of anthropoids. III. Growth changes in the skull and face of the gorilla. Am. J. Anat. 47: 89–115.Google Scholar
  57. Krogman, W. M. 1931. Studies in growth changes in the skull and face of anthropoids. IV. Growth changes in the skull and face of the chimpanzee. Am. J. Anat. 47: 325–342.Google Scholar
  58. Krogman, W. M. 1931c. Studies in growth changes in the skull and face of anthropoids. V. Growth changes in the skull and face of orang-utan. Am. J. Anat. 47: 343–365.Google Scholar
  59. Laird, A. K. 1965. Dynamics of relative growth. Growth 29: 249–263.PubMedGoogle Scholar
  60. Laird, A. K., Tyler, S. A., and Barton, A. D. 1965. Dynamics of normal growth. Growth 29: 233248.Google Scholar
  61. Lande, R. 1979. Quantitative genetic analysis of multivariate evolution, applied to brain: body allometry. Evolution 33: 402–416.Google Scholar
  62. Larson, S. G. 1978. Scaling of organ weights in Macaca arctoides. Am. J. Phys. Anthropol.. 49: 95–102.Google Scholar
  63. Lauder, G. V. 1981. Form and function: Structural analysis in evolutionary morphology. Pal eobiology 7(4): 430–442.Google Scholar
  64. Lerner, I. M., and Gunns, C. A. 1938. Temperature and relative growth of chick embryo leg bones. Growth 2: 261–266.Google Scholar
  65. Lewontin, R. C. 1978. Adaptation. Sci. Am. 239(3): 156–169.Google Scholar
  66. Lundelius, E. L., Jr. 1957. Skeletal adaptations in two species of Sceleporus. Evolution 11: 65–83.Google Scholar
  67. Lumer, H. 1940. Evolutionary allometry in the skeleton of the domesticated dog. Am. Nat. 74: 439–467.Google Scholar
  68. Mayr, E. 1950. Taxonomic categories in fossil hominids. Cold Spring Harbor Symp. Quant. Biol. 15: 109–118.PubMedGoogle Scholar
  69. Mayr, E. 1961. Cause and effect in biology. Science 134: 1501–1506.PubMedGoogle Scholar
  70. Mayr, E. 1963. Animal Species and Evolution, Harvard University Press, Cambridge.Google Scholar
  71. Medawar, P. B. 1945. Size, shape, and age, in: Essays on “Growth and Form” Presented to D’Arcy Wentworth Thompson (W. E. le Gros Clark and P. B. Medawar, eds.), pp. 157–187, Clarendon Press, Oxford.Google Scholar
  72. Moore, W. J. 1981. Facial growth in primates with special reference to the Hominoidea. Symp. Zool. Soc. Lond. 46: 37–62.Google Scholar
  73. Moore, W. J., and Lavelle, C. L. B. 1974. Growth of the Facial Skeleton in the Hominoidea, Academic Press, London.Google Scholar
  74. Moss, M. L. 1973. A functional cranial analysis of primate craniofacial growth, in: Symposium 4th International Congress Primatol., pp. 191–208. Vol. 3: Craniofacial Biology of Primates, (F. S. Szalay, ed.), Karger, Basel.Google Scholar
  75. Movers, R. E., and Bookstein, F. L. 1979. The inappropriateness of conventional cephalometrics. Am. J. Orthodontics 75(6): 599–617.Google Scholar
  76. Oxnard, C. E. 1978. One biologist’s view of morphometrics. Annu. Rev. Ecol. Syst. 9: 219–241.Google Scholar
  77. Pilbeam, D. R.5 and Gould, S. J. 1974. Size and scaling in human evolution. Science 186: 892–901.Google Scholar
  78. Radinsky, L. 1984. Ontogeny and phylogeny in horse skull evolution. Evolution 38: 1–15.Google Scholar
  79. Raup, D. M. 1972. Approaches to morphologic analysis, in: Models in Paleobiology (T.J. M. Schopf, ed.), pp. 28–44, Freeman, San Francisco.Google Scholar
  80. Reeve, E. C. R. 1940. Relative growth in the snout of anteaters. Proc. Zool. Soc. Lond 110: 47–80.Google Scholar
  81. Reeve, E. C. R. 1941. A statistical analysis of taxonomic differences within the genus Tamandua Gray (Xenarthra). Proc. Zool. Soc. Lond. 111: 279–302.Google Scholar
  82. Reeve, E. C. R., and Huxley, J. S. 1945. Some problems in the study of allometric growth, in: Essays on “Growth and Form” Presented to DArcy Wentworth Thompson (W. E. le Gros Clark and P. B. Medawar, eds.), pp. 121–156, Clarendon Press, Oxford.Google Scholar
  83. Reeve, E. C. R., and Murray, P. D. F. 1942. Evolution in the horse’s skull. Nature 150: 402–403.Google Scholar
  84. Rensberger, B. 1981. The evolution of evolution. Mosaic 12(5): 14–23.Google Scholar
  85. Rensch, B. 1948. Histological changes correlated with evolutionary changes in body size. Evolution 2: 218–230.PubMedGoogle Scholar
  86. Rensch, B. 1959. Evolution above the Species Level, Columbia University Press, New York.Google Scholar
  87. Robb, R. C. 1935. A study of mutation in evolution. Part 2: Ontogeny in the equine skull. J. Genet. 31: 47–52.Google Scholar
  88. Robinson, J. T. 1972. Early Hominid Posture and Locomotion, University of Chicago Press, Chicago.Google Scholar
  89. Shea, B. T. 1981. Relative growth of the limbs and trunk in the African apes. Am. J. Phys. Anthropol.. 56: 179–202.PubMedGoogle Scholar
  90. Shea, B. T. 1982. Growth and Size Allometry in the African Pongidae: Cranial and Postcranial Analyses, Ph.D. Thesis, Duke University, Durham, North Carolina.Google Scholar
  91. Shea, B. T. 1983a. Phyletic size change and brain/body scaling: A consideration based on the African pongids and other primates. Int. J. Primatol. 4: 33–62.Google Scholar
  92. Shea, B. T. 1983b. Size and diet in the evolution of African ape craniodental form. Folia Primatol. 40: 32–68.Google Scholar
  93. Shea, B. T. 1983c. Paedomorphosis and neoteny in the pygmy chimpanzee. Science 222: 521–522.PubMedGoogle Scholar
  94. Shea, B. T. 1983d. Allometry and heterochrony in the African apes. Am. J. Phys. Anthropol.. 62: 275–289.PubMedGoogle Scholar
  95. Shea, B. T. 1984. An allometric perspective on the morphological and evolutionary relationships between pygmy (Pan paniscus) and common (Pan troglodytes) chimpanzees, in: The Pygmy Chimpanzee: Evolutionary Biology and Behavior (R. L. Susman, ed.), pp. 89–130, Plenum Press, New York.Google Scholar
  96. Simpson, G. G. 1944. Tempo and Mode in Evolution, Columbis University Press, New York.Google Scholar
  97. Simpson, G. G. 1953. The Major Features of Evolution, Columbia University Press, New York.Google Scholar
  98. Simpson, G. G. 1961. Principles of Animal Taxonomy, Columbia University Press, New York.Google Scholar
  99. Simpson, G. G., Roe, A., and Lewontin, R. C. 1960. Quantitative Zoology, 2nd ed., Harcourt, Brace and World, New York.Google Scholar
  100. Sinnott, E. 1936. A developmental analysis of inherited shape differences in cucurbit furits. Am. Nat. 70: 245–254.Google Scholar
  101. Sinnott, E. W. 1937. Morphology as a dynamic science. Science 85: 61–65.PubMedGoogle Scholar
  102. Smith, R.J. 1980. Rethinking allometry. J. Theor. Biol. 87: 97–111.PubMedGoogle Scholar
  103. Stanley, S. M. 1973. An explanation for Cope’s rule. Evolution 27: 1–35.Google Scholar
  104. Susman, R. L., and Creel, N. 1979. Functional and morphological affinities of the subadult hand (OH 7) from Olduvai Gorge. Am. J. Phys. Anthropol.. 51: 311–332.PubMedGoogle Scholar
  105. Szalay, F. S., and Delson, E. 1979. Evolutionary History of the Primates, Academic Press, New York.Google Scholar
  106. Thompson, D’Arcy W. 1917. On Growth and Form, Cambridge University Press, Cambridge.Google Scholar
  107. Thompson, D’Arcy W. 1942. On Growth and Form, 2nd ed., Cambridge University Press, CambridgeGoogle Scholar
  108. Thompson, D’Arcy W. 1961. On Growth and Form, abridged ed. (J. T. Bonner, ed.), Cambridge University Press, Cambridge.Google Scholar
  109. Tobias, P. V. 1967. The craniun and maxillary dentition of Australopithecus (Zinjanthropus) boisei, in: Olduvai Gorge (L. S. B. Leakey, ed.), Vol. 2, pp. 1–264, Cambridge University Press, Cambridge.Google Scholar
  110. Tobias, P. V. 1973. The Taung skull revisited. Nat. Hist. 83: 38–43.Google Scholar
  111. Todd, T. W., and Wharton, R. E. 1934. Later postnatal skull growth in the sheep. Am. J. Anat. 55: 79–95.Google Scholar
  112. Tollman, S. M., Grine, F. E., and Hahn, B. D. 1980. Ontogeny and sexual dimorphism in Aulacephalodon (Reptilia, Anomodontia). Ann. S. Afr. Mus. 81(4): 159–186.Google Scholar
  113. Tuttle, R. H. 1969. Knuckle walking and the problem of human origins. Science 166: 953–961.PubMedGoogle Scholar
  114. Van der Klauuw, C. J. 1945. Cerebral skull and facial skull. Arch. Neer. Zool. 7: 16–37.Google Scholar
  115. Van der Klauuw, C. J. 1948–1952. Size and position of the functional components of the skull. Arch. Neer. Zool. 8: 1–599.Google Scholar
  116. Vogel, C. 1968. The phylogenetical evaluation of some characters and some morphological trends in the evolution of the skull in catarrhine primates, in: Taxonomy and Phylogeny of Old World Primates With Special Reference to the Origin of Man (B. Chiarelli, ed.), pp. 21–55, Rosenberg and Sellier, Torino.Google Scholar
  117. von Bertalanffy, L. 1960. Principles and theory of growth, in: Fundamental Aspects of Normal and Malignant Growth (W. W. Nowinski, ed.), pp. 137–259, Elsevier, Amsterdam.Google Scholar
  118. von Bertalanffy, L., and Pirozynski, W.J. 1952. Ontogenetic and evolutionary allometry. Evolution 6: 387–392.Google Scholar
  119. White, T. D. 1977. The Anterior Corpus of Early African Hominidae: Functional Significance of Size and Shape, Ph.D. Thesis, University of Michigan, Ann Arbor, Michigan.Google Scholar
  120. Williams, G. C. 1966. Adaptation and Natural Selection, Princeton University Press, Princeton.Google Scholar
  121. Wood, B. A. 1976. The nature and basis of sexual dimorphism in the primate skeleton. J. Zool. Loud. 180: 15–34.Google Scholar
  122. Zuckerkandl, E. 1976. Programs of gene action and progressive evolution, in: Molecular Anthropol.ogy (M. Goodman and R. E. Tashian, eds.), pp. 387–447, Plenum Press, New York.Google Scholar

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© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Brian T. Shea
    • 1
  1. 1.Departments of Anthropology and Cell Biology and AnatomyNorthwestern UniversityEvanstonUSA

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