On The Measurement of Morphology and its Change

Few would argue with the assertion that within the practice of comparative morphology, the comparison of shapes is fundamental to any line of synthesis in paleontology. Yet the common act of such a comparison involves a great range of judgments concerning the homology, correspondence and divergence of form of various parts of any two related shapes. Considerations of similarity must include the scalar effects of size and material, the conversion of proportions as descriptive geometric dimensions to those useful numerical values that will be represented as ratios of measured distance (relative or compared against a standard), and, by no means insignificant, the judgment about the design or functional geometry implicit in the static as well as dynamic systems being measured. This review is concerned with these considerations and with quantitative comparisons of biological shape wherein some parts of specimens obviously have changed and others parts have not.

[1]  R. H. Benson.  Evolution of Oblitacythereis from Paleocosta (Ostracoda: Trachyleberididae) during the Cenozoic in the Mediterranean and Atlantic , 1977 .

[2]  Fred L. Bookstein,et al.  The Study of Shape Transformation after D'Arcy Thompson , 1977 .

[3]  Fourier packing ordinate: A univariate size-independent measurement of the polygonal packing variation in Paleozoic bryozoans , 1980 .

[4]  Walker Gf,et al.  A two-dimensional coordinate model for the quantification, description, analysis, prediction and simulation of craniofacial growth. , 1971 .

[5]  D. Raup,et al.  Evolution of single characters in the Jurassic ammonite Kosmoceras , 1981, Paleobiology.

[6]  R. Ehrlich,et al.  An Exact Method for Characterization of Grain Shape , 1970 .

[7]  M. Clark.  Quantitative shape analysis: A review , 1981 .

[8]  D M Raup,et al.  THE GEOMETRY OF COILING IN GASTROPODS. , 1961, Proceedings of the National Academy of Sciences of the United States of America.

[9]  F. Bookstein,et al.  The Measurement of Biological Shape and Shape Change. , 1980 .

[10]  D'arcy W. Thompson.  On Growth and Form , 1945 .

[11]  David M. Raup,et al.  Principles Of Paleontology , 1978 .

[12]  G. P. Lohmann.  Eigenshape analysis of microfossils: A general morphometric procedure for describing changes in shape , 1983 .

[13]  R. Goldschmidt,et al.  The material basis of evolution , 1941 .

[14]  Douglas F. Williams,et al.  Fourier analysis of test shape of planktonic foraminifera , 1981, Nature.

[15]  S. Gray,et al.  Growth patterns in the Ceratopsia , 1949 .

[16]  R. H. Benson.  Changes in the ostracodes of the Mediterranean with the Messinian salinity crisis , 1976 .

[17]  D'arcy W. Thompson.  On growth and form i , 1943 .

[18]  R. H. Benson.  FORM, FUNCTION, AND ARCHITECTURE OF OSTRACODE SHELLS , 1981 .

[19]  D'Arcy Wentworth Thompson.  XXVII.—Morphology and Mathematics. , 1916 .

[20]  J. Huxley.  Evolution: The Modern Synthesis , 1943 .

[21]  Roger L. Kaesler,et al.  Fourier Analysis of the Ostracode Margin , 1972 .

[22]  Fred L. Bookstein,et al.  A Comment upon the Uses of Fourier Methods in Systematics , 1982 .

[23]  Charles Ernest Oxnard.  The Analysis of Form: Without Measurement and Without Computers , 1980 .

[24]  Testing the messinian salinity crisis biodynamically: An introduction , 1976 .

[25]  S. Gould.  ALLOMETRY AND SIZE IN ONTOGENY AND PHYLOGENY , 1966, Biological reviews of the Cambridge Philosophical Society.

[26]  Waldo R. Tobler,et al.  The comparison of plane forms , 2010 .

[27]  T. Frazzetta.  From Hopeful Monsters to Bolyerine Snakes? , 1970, The American Naturalist.

[28]  Raymond A. Christopher,et al.  Orthogonal mapping: A computer program for quantifying shape differences , 1978 .

[29]  Charles Oxnard,et al.  One Biologist's View of Morphometrics , 1978 .

[30]  D. Enlow.  Handbook of facial growth , 1975 .

[31]  R. Reyment,et al.  Statistics and Data Analysis in Geology. , 1988 .

[32]  Ralph Roskies,et al.  Fourier Descriptors for Plane Closed Curves , 1972, IEEE Transactions on Computers.

[33]  James C. Brower,et al.  Multivariate analysis of allometry using point coordinates , 1978 .

[34]  A. Olshan,et al.  Robust and least-squares orthogonal mapping: methods for the study of cephalofacial form and growth. , 1982, American journal of physical anthropology.

[35]  F. Bookstein.  When One Form is Between Two Others: An Application of Biorthogonal Analysis , 1980 .

[36]  R Goldschmidt,et al.  SOME ASPECTS OF EVOLUTION. , 1933, Science.

[37]  Andrew F. Siegel,et al.  Geometric Data Analysis: An Interactive Graphics Program for Shape Comparison. , 1982 .

[38]  R. Ehrlich,et al.  Fourier Biometrics: Harmonic Amplitudes as Multivariate Shape Descriptors , 1977 .

[39]  G. L. Jones,et al.  The analogue video reshaper—a new tool for palaeontologists , 1976 .

[40]  F L Bookstein,et al.  Orthogenesis of the hominids: an exploration using biorthogonal grids. , 1977, Science.

[41]  J. Huxley.  Problems of relative growth , 1932 .

[42]  G. H. Scott,et al.  An automated coordinate recorder for biometry , 1975 .

[43]  A. Siegel,et al.  A robust comparison of biological shapes. , 1982, Biometrics.

[44]  David M. Raup,et al.  Geometric analysis of shell coiling; general problems , 1966 .