Abstract
It is far from obvious that outside of highly specialized domains such as commercial agriculture, the methodology of biometrics—quantitative comparisons over groups of organisms—should be of any use in today’s bioinformatically informed biological sciences. The methods in our biometric textbooks, such as regressions and principal components analysis, make assumptions of homogeneity that are incompatible with current understandings of the origins of developmental or evolutionary data in historically contingent processes, processes that might have come out otherwise; the appropriate statistical methods are those suited to random walks, not normal distributions. A valid methodology would further require that especially close attention be paid to the difference between aspects of processes that are plastic, those that encode their own histories or biographies, and the very small fraction of quantifications that can usefully and realistically be modeled as varying by colored noise around a central tendency that itself has some quantitative meaning. This point of view—that only a vanishingly small fraction of the quantitative information borne by any living organism is worth quantifying—is illustrated by some data on a human birth defect, namely, fetal alcohol syndrome. In a suggestive metaphor, the biometrician is like the pilgrim in Friedrich’s painting Der Wanderer über dem Nebelmeer, uncertain as to whether to measure the mountains or the clouds. The mountains stand for contingent history, the clouds for the subset of the data most closely matching controlled experiments suitable for quantitative biometric summary. Biometrics applies to the clouds, not the mountains. The success of statistical methods comes at the expense of all the theories that we simultaneously hold to be true about the biological materials to which they both pertain. Biometrics is thus complementary to all of the emerging reductionist sciences of biological structure.
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References
Anson BJ (1963) An Atlas of Human Anatomy. 2nd ed. Philadelphia: W. B. Saunders.
Bookstein FL (1978) The Measurement of Biological Shape and Shape Change. Lecture Notes in Biomathematics, Vol. 24. Berlin: Springer.
Bookstein FL (1987) Random walk and the existence of evolutionary rates. Paleobiology 13: 446–464.
Bookstein FL (1989) “Size and shape”: A comment on semantics. Systematic Zoology 38: 173–180.
Bookstein FL (2006) My unexpected journey in applied biomathematics. Biological Theory 1: 67–77.
Bookstein FL, Sampson PD, Connor PD, Streissguth AP (2002) The midline corpus callosum is a neuroanatomical focus of fetal alcohol damage. The Anatomical Record—The New Anatomist 269: 162–174.
Elsasser WM (1975) The Chief Abstractions of Biology. Amsterdam: North-Holland.
Feller W (1957) An Introduction to Probability Theory and Its Applications, Vol. 1. 2nd ed. New York: Wiley.
Freedman DA (1991) Statistical models and shoe leather. Sociological Methodology 21: 291–313.
Gaddis JL (2002) The Landscape of History: How Historians Map the Past. New York: Oxford University Press.
Gerard RW, ed (1958) Concepts of Biology. Publication 560. Washington, DC: National Research Council.
Gunz P, Bookstein FL, Mitteroecker P, Stadlmeyr A, Seidler H, Weber GW (2009) Early modern human diversity suggests subdivided population structure and a complex out-of-Africa scenario. Proc Natl Acad Sci USA 106: 6094–6098.
Intergovernmental Panel on Climate Change (2007) Climate Change 2007: The Physical Science Basis. Cambridge: Cambridge University Press.
Kuhn TS (1961) The function of measurement in modern physical science. Isis 52: 161–193.
Mitteroecker PM, Bookstein FL (2008) The evolutionary role of modularity and integration in the hominoid cranium. Evolution 62: 943–958.
Mitteroecker PM, Bookstein FL (2009) An ordination of the space of covariance matrices, with an application to craniofacial growth in rats and humans. Evolution 63: 727–737.
Mitteroecker PM, Hutteger SM (2009) The concept of morphospaces in evolutionary and developmental biology: Mathematics and metaphors. Biological Theory 4: 54–67.
Neurath O, Carnap R, Morris C, eds (1970) Foundations of the Unity of Science: Toward an International Encyclopedia of Unified Science, Vol. 2, nos. 1–9. Chicago: University of Chicago Press.
Perrin J (1913) Les atomes. Paris: Librairie Félix Alcan.
Platt JR (1964) Strong inference. Science 146: 347–353.
Russell B (1967) The Autobiography of Bertrand Russell. 3 Vols. London: George Allen and Unwin.
Snow J (1855) On the Mode of Communication of Cholera. 2nd ed. London: John Churchill.
Stigler SM (1986) The History of Statistics: The Measurement of Uncertainty to 1900. Cambridge, MA: Harvard University Press.
Stratton K, Howe C, Battaglia F, eds (1996) Fetal Alcohol Syndrome: Diagnosis, Epidemiology, Prevention, and Treatment. Washington, DC: National Academy Press.
Watson J, Crick FHC (1953) A structure for deoxyribose nucleic acid. Nature 71: 737–738.
Weber GW, Bookstein FL (in press) Virtual Anthropology: A Guide to a New Interdisciplinary Field. Vienna: Springer.
Weber GW, Gunz P, Mitteroecker P, Stadlmayr A, Bookstein FL, Seidler H (2006) External geometry of Mladec neurocrania compared with anatomically modern humans and Neandertals. In: Early Modern Humans at the Moravian Gate: The Mladec Caves and Their Remains (Teschler-Nicola M, ed.), 453–471. New York: Springer.
Weiss PA (1958) Comment. In: Concepts of Biology (Gerard RW, ed.), 140. Washington, DC: National Research Council.
Wigner EP (1960) The unreasonable effectiveness of mathematics in the natural sciences. Communications on Pure and Applied Mathematics 13: 1–14.
Williams RJ (1956) Biochemical Individuality: The Basis for the Genetotrophic Concept. New York: Wiley.
Woolf H (1961) Quantification: A History of the Meaning of Measurement in the Natural and Social Sciences. Indianapolis: Bobbs-Merrill.
Wright S (1968) Evolution and the Genetics of Populations. Vol. 1. Genetic and Biometric Foundations. Chicago: University of Chicago Press.
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Bookstein, F.L. Measurement, Explanation, and Biology: Lessons From a Long Century. Biol Theory 4, 6–20 (2009). https://doi.org/10.1162/biot.2009.4.1.6
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DOI: https://doi.org/10.1162/biot.2009.4.1.6