Assigned Resampling Method: A new method to estimate size sexual dimorphism in samples of unknown sex

Authors

  • Sang-Hee Lee Department of Anthropology, University of California at Riverside, Riverside, CA 92521-0418, USA

DOI:

https://doi.org/10.18778/1898-6773.64.02

Keywords:

sexual dimorphism, Assigned Resampling Method (ARM), data resampling, bootstrapping, fossil samples

Abstract

This paper proposes a new method, Assigned Resampling Method (ARM), to estimate the degree of size sexual dimorphism in samples of unknown sex. ARM resamples with replacement pairs of observation from the mixed-sex data and after applying a filter, generates a distribution of dimorphism estimates by transforming the pair values into ratios. The mean of the distribution is proposed as the ARM estimate of sexual dimorphism. Using 40 metric variables from comparative data sets of known sex (91 humans, 46 chimpanzees, and 56 gorillas), the ARM estimates were compared with the observed sexual dimorphism. Results show that the difference between the ARM estimates and the observed sexual dimorphism is within 5% for most of the variables examined. ARM is shown to perform reliably under various conditions of unequal sex ratios and small sample sizes. By directly comparing fragmentary materials without estimating body size, and by using an algorithm that does not rely on sex diagnosis of individual specimens, ARM addresses the challenges of studying sexual dimorphism with fossil samples.  

Downloads

Download data is not yet available.

References

ALBRECHT G.H., J.M.A. MILLER, 1997, Variability profiles in fossil studies: the case of Homo habilis (abstract), Am. J. Phys. Anthropol. Suppl., 24, 65
View in Google Scholar

ARSUAGA J.L., J.M. CARRETERO, C. LORENZO, et al., 1997, Size variation in Middle Pleistocene humans, Science, 277, 1086-1088
View in Google Scholar DOI: https://doi.org/10.1126/science.277.5329.1086

BENNETT K.A., 1981, On the expression of sexual dimorphism, Am. J. Phys. Anthropol., 56, 59-62
View in Google Scholar DOI: https://doi.org/10.1002/ajpa.1330560106

BUIKSTRA J.E., D.H. UBELAKER (Eds.), 1994, Standards for Data Collection from Human Skeletal Remains. Proceedings of a Seminar at the Field Museum of Natural History, Arkansas Archeological Survey, Fayetteville, Arkansas
View in Google Scholar

CHAKRABORTY R., P.P. MAJUMDER, 1982, On Bennett's measure of sex dimorphism, Am. J. Phys. Anthropol., 59, 295-298
View in Google Scholar DOI: https://doi.org/10.1002/ajpa.1330590309

COHEN A.C., 1967, Estimation in mixture of two normal distributions, Technometrics, 9, 15-28
View in Google Scholar DOI: https://doi.org/10.1080/00401706.1967.10490438

COPE D.A., M.G. LACY, 1995, Comparative application of the coefficient of variation and range-based statistics for assessing the taxonomic composition of fossil samples, J. Hum. Evol., 29, 549-576
View in Google Scholar DOI: https://doi.org/10.1006/jhev.1995.1075

DONG Z., 1997, Mixture analysis and its preliminary application in archaeology, J. Archaeol. Sci., 24, 141-161
View in Google Scholar DOI: https://doi.org/10.1006/jasc.1996.0100

EFRON B., R.J. TIBSHIRANI, 1993, An Introduction to the Bootstrap, Chapman & Hall, New York
View in Google Scholar DOI: https://doi.org/10.1007/978-1-4899-4541-9

FLEAGLE J.G., R.F. KAY, E.L. SIMONS, 1980, Sexual dimorphism in early anthropoids, Nature, 287, 328-330
View in Google Scholar DOI: https://doi.org/10.1038/287328a0

GODFREY L.R., S.K. LYON, M.R. SUTHERLAND, 1993, Sexual dimorphism in large-bodied primates: the case of the subfossil lemurs, Am. J. Phys. Anthropol., 90, 315-334
View in Google Scholar DOI: https://doi.org/10.1002/ajpa.1330900306

HAGER L.D., 1989, The Evolution of Sex Differences in the Hominid Bony Pelvis, University of California, Berkeley
View in Google Scholar

HAGER L.D., 1991, The evidence for sex differences in the hominid fossil record, [in:] The Archaeology of Gender, D. Walde & N. Willows (eds.), Archaeological Association, University of Calgary, Calgary, 46-49
View in Google Scholar

HAGER L.D., 1996, Sex differences in the sciatic notch in great apes and modern humans, Am. J. Phys. Anthropol., 99, 287-300
View in Google Scholar DOI: https://doi.org/10.1002/(SICI)1096-8644(199602)99:2<287::AID-AJPA6>3.0.CO;2-W

HAMILTON M.E., 1982, Sexual dimorphism in skeletal sample, [in:] Sexual Dimorphism in Homo sapiens, R.L. Hall (ed.), Praeger, New York, 107-163
View in Google Scholar

HÄUSLER M., P. SCHMID, 1995, Comparison of the pelves of Sts 14 and AL 288-1: implications for birth and sexual dimorphism in australo-pithecines, J. Hum. Evol., 29, 363-383
View in Google Scholar DOI: https://doi.org/10.1006/jhev.1995.1063

JOHANSON D.C., T.D. WHITE, 1979, A systematic assessment of early African hominids, Science, 202, 321-330
View in Google Scholar DOI: https://doi.org/10.1126/science.104384

JOSEPHSON S.C., K.E. JUELL, A.R. ROGERS, 1996, Estimating sexual dimorphism by method of moments, Am. J. Phys. Anthropol., 100, 191-206
View in Google Scholar DOI: https://doi.org/10.1002/(SICI)1096-8644(199606)100:2<191::AID-AJPA3>3.0.CO;2-0

JUNGERS W.L., 1988, New estimates of body size in australopithecines, [in:] Evolutionary History of the "Robust" Australopithecines, F.E. Grine (ed.), Aldine de Gruyter, New York, 115-125
View in Google Scholar

KATZENBERG M.A., S.R. SAUNDERS (Eds.), 2000, Biological Anthropology of the Human Skeleton, Wiley, New York
View in Google Scholar

KAY R.F., 1982, Sexual dimorphism in Ramapithecinae, Proc. Natl Acad. Sci. USA, 79, 209-212
View in Google Scholar DOI: https://doi.org/10.1073/pnas.79.2.209

KIMBEL W.H., T.D. WHITE, 1988, Variation, sexual dimorphism, and the taxonomy of Australopithecus, [in:] Evolutionary History of the "Robust" Australopithecines, F.E. Grine (ed.), Aldine de Gruyter, New York, 175-192
View in Google Scholar

KROGMAN W.M., M.Y. IoŞCAN, 1986, The HumanSkeleton in Forensic Medicine, C. C. Thomas, Springfield, IL
View in Google Scholar

KURTEN B., 1969, Sexual dimorphism in fossil mammals, [in:] Sexual Dimorphism in Fossil Metazoa and Taxonomic Implications, G.E.G. Westermann (ed.), Schweizerbart'sche Verlagsbuchhandlung, Stuttgart, 226-233
View in Google Scholar

LEE S.-H., 1995, Variability in Australopithecus afarensis: Does sexual dimorphism explain the humeral variability in Australopithecus afarensis? (abstract), Am. J. Phys. Anthropol. Suppl., 20, 132
View in Google Scholar

LEE S.-H., 1999, Evolution of Human Sexual Dimorphism: Using Assigned Resamplng Method to Estimate Sexual Dimorphism When Individual Sex is Unknown, Ph.D. dissertation, University of Michigan, Ann Arbor
View in Google Scholar

LEE S.-H., 2001, Patterns of skeletal sexual dimorphism in human, chimpanzee, and gorilla (abstract), J. Hum. Evol., 40, A13
View in Google Scholar

LEUTENEGGER W., B. SHELL, 1987, Variability and sexual dimorphism in canine size of Australopithecus and extant hominoids, J. Hum. Evol., 16, 359-367
View in Google Scholar DOI: https://doi.org/10.1016/0047-2484(87)90066-2

LIEBERMAN D.E., D.R. PILBEAM, B.A. WOOD, 1988, A probabilistic approach to the problem of sexual dimorphism in Homo habilis: a comparison of KNM-ER 1470 and KNM-ER 1813, J. Hum. Evol., 17, 503-511
View in Google Scholar DOI: https://doi.org/10.1016/0047-2484(88)90039-5

LOCKWOOD C.A., B.G. RICHMOND, W.L. JUNGERS, W.H. KIMBEL, 1996, Randomization procedures and sexual dimorphism in Australopithecus afarensis, J. Hum. Evol., 31, 537-548
View in Google Scholar DOI: https://doi.org/10.1006/jhev.1996.0078

LOTH S.R., M. HENNEBERG, 1996, The Taung child – it’s a boy! Sexually dimorphic morphology in the immature human mandible and its application to fossil hominids (abstract), Am. J. Phys. Anthropol. Suppl., 22, 152
View in Google Scholar

LOVEJOY C.O., K.F. KERN, S.W. SIMPSON, R.S. MEINDL, 1989, A new method for estimation of skeletal dimorphism in fossil samples, with application to Australopithecus afarensis, [in:] Proceedings of the 2nd International Congress of Human Paleoanthropology, Editoriale Jaca Books, Milan, 103-108
View in Google Scholar

MARTIN L.B., 1983, The Relationships of the Later Miocene Hominoidea, University College, London
View in Google Scholar

MARTIN R., K. SALLER, 1957, Lehrbuch der Anthropologie, Gustav Fischer Verlag, Stuttgart
View in Google Scholar

MARTIN R.D., L.A. WILLNER, A. DETTLING, 1994, The evolution of sexual size dimorphism in primates, [in:] The Differences Between the Sexes, R. V. Short & E. Balaban (eds.), Cambridge University Press, Cambridge, 159-200
View in Google Scholar

MCHENRY H.M., 1986, Size variation in the postcranium of Australopithecus afarensis and extant species of hominoidea, [in:] Sexual Dimorphism in Living and Fossil Primates, M. Pickford & B. Chiarelli (eds.), Il Sedicesimo, Firenze, 183-189
View in Google Scholar

MCHENRY H.M., 1991, Sexual dimorphism in Australopithecus afarensis, J. Hum. Evol., 20, 21-32
View in Google Scholar DOI: https://doi.org/10.1016/0047-2484(91)90043-U

OXNARD C.E., D.S. LIEBERMAN, B.R. GELVIN, 1985, Sexual dimorphisms in the dental dimensions of higher primates, Am. J. Primat., 8, 127-152
View in Google Scholar DOI: https://doi.org/10.1002/ajp.1350080205

PEARSON K., 1894, Contribution to the mathematical theory of evolution, Philos. Trans. R. Soc. Lond. A, 185, 71-110
View in Google Scholar DOI: https://doi.org/10.1098/rsta.1894.0003

PLAVCAN J.M., 1994, Comparison of four simple methods for estimating sexual dimorphism in fossils, Am. J. Phys. Anthropol., 94, 465-476
View in Google Scholar DOI: https://doi.org/10.1002/ajpa.1330940403

PLAVCAN J.M., 2000, Inferring social behavior from sexual dimorphism in the fossil record, J. Hum. Evol., 39, 327-344
View in Google Scholar DOI: https://doi.org/10.1006/jhev.2000.0423

RICHMOND B.G., W.L. JUNGERS, 1995, Size variation and sexual dimorphism in Australo-pithecus afarensis and living hominoids, J. Hum. Evol., 29, 229-245
View in Google Scholar DOI: https://doi.org/10.1006/jhev.1995.1058

ROBERTSON C.A., J.G. FRYER, 1969, Some descriptive properties of normal mixtures, Scand. Actuarial J., 52, 137-146
View in Google Scholar DOI: https://doi.org/10.1080/03461238.1969.10404590

SCHWARTZ J.H., 1995, Skeleton Keys: An Introduction to Human Skeletal Morphology, Development, and Analysis, Oxford University Press, New York
View in Google Scholar

SIEGEL M.I., 1976, Comment on M.H. Wolpoff, Some aspects of the evolution of early hominid sexual dimorphism, Curr. Anthropol., 17, 600
View in Google Scholar

SMITH R.J., 1980, Rethinking allometry, J. Theor. Biol., 87, 97-111
View in Google Scholar DOI: https://doi.org/10.1016/0022-5193(80)90222-2

SMITH R.J., 1996, Biology and body size in human evolution, Curr. Anthropol., 37, 451-481
View in Google Scholar

TAGUE R.G., C.O. LOVEJOY, 1998, AL 288-1–Lucy or Lucifer: gender confusion in the Pliocene, J. Hum. Evol., 35, 75-94
View in Google Scholar DOI: https://doi.org/10.1006/jhev.1998.0223

TITTERINGTON D.M., A.F.M. SMITH, V.E. MAKOV, 1985, Statistical Analysis of Finite Mixture Distributions, J. Wiley & Sons, New York
View in Google Scholar

TRINKAUS E., 1976, Comment on M.H. Wolpoff, Some aspects of the evolution of early hominid sexual dimorphism, Curr. Anthropol., 17, 600-601
View in Google Scholar

VITZHUM V.J., 1990, Odontometric variation within and between taxonomic levels of Cercopithecidae: implications for interpretations of fossil samples, Hum. Evol., 5, 359-374
View in Google Scholar DOI: https://doi.org/10.1007/BF02437250

WELSH A.H., A.T. PETERSON, S.A. ALTMANN, 1988, The fallacy of averages, Am. Nat., 132, 277-288
View in Google Scholar DOI: https://doi.org/10.1086/284850

WOLPOFF M.H., 1975, Sexual dimorphism in the australopithecines, [in:] Paleoanthropology: Morphology and Paleoecology, R.H. Tuttle (ed.), Mouton, The Hague, 245-284
View in Google Scholar DOI: https://doi.org/10.1515/9783110810691.245

WOLPOFF M.H., 1976a, Primate models for australopithecine sexual dimorphism, Am. J. Phys. Anthropol., 45, 497-510
View in Google Scholar DOI: https://doi.org/10.1002/ajpa.1330450311

WOLPOFF M.H., 1976b, Some aspects of the evolution of early hominid sexual dimorphism, Curr. Anthropol., 17, 579-606
View in Google Scholar DOI: https://doi.org/10.1086/201798

WOOD B.A., 1976, The nature and basis of sexual dimorphism in the primate skeleton, J. Zool. (Lond), 180, 15-134
View in Google Scholar DOI: https://doi.org/10.1111/j.1469-7998.1976.tb04660.x

ZIHLMAN A.L., 1985, Australopithecus afarensis: two sexes or two species? [in:] Hominid Evolution: Past, Present, and Future. Proceedings of the Taung Diamond Jubilee International Symposium, P.V. Tobias (ed.), Alan R. Liss Inc., New York, 213-220
View in Google Scholar

Downloads

Published

2001-06-30

How to Cite

Lee, S.-H. (2001). Assigned Resampling Method: A new method to estimate size sexual dimorphism in samples of unknown sex. Anthropological Review, 64, 21–39. https://doi.org/10.18778/1898-6773.64.02

Issue

Section

Articles

Similar Articles

<< < 2 3 4 5 6 7 8 9 10 11 > >> 

You may also start an advanced similarity search for this article.