Abstract
This chapter overviews the theoretical basics of geometric morphometrics (GM) and reviews its potential for the study of hominin vertebrae and vertebral columns. We show that challenges are related to seriality and the metameric nature of the spine. Measuring a series of vertebrae is a time-consuming process because the necessary sample sizes need to be multiplied by the number of vertebrae composing the spine or its anatomical parts. This is particularly true when measuring 3D semilandmarks of curves and surfaces in virtual anthropology. The lack of independence among vertebral series of a skeleton and the complex conceptual relation between the shape of vertebrae (parts) and the effect of their shapes on the morphology of the entire spine (whole) offer statistical challenges for the analyses. We provide a review of GM studies that have been carried out so far on the cervical, thoracic and lumbar spine and finish each of these sections with an application example of GM reconstructions of vertebrae and/or spines. We close the review with a critical discussion of the relevant advantages and limitations of these methods in any GM analysis of vertebrae and spines in palaeoanthropology.
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References
Adams DC, Cerney MM (2007) Quantifying biomechanical motion using Procrustes motion analysis. J Biomech 40(2):437–444
Adams DC, Collyer ML (2009) A general framework for the analysis of phenotypic trajectories in evolutionary studies. Evolution 63(5):1143–1154
Archer W, Pop CM, Rezek Z, Schlager S, Lin SC, Weiss M, Dogandžić T, Desta D, McPherron SP (2018) A geometric morphometric relationship predicts stone flake shape and size variability. Archaeol Anthropol Sci 10:1991–2003
Arlegi M, Gómez-Olivencia A, Albessard L, Martínez I, Balzeau A, Arsuaga JL, Been E (2017) The role of allometry and posture in the evolution of the hominin subaxial cervical spine. J Hum Evol 104:80–99
Arlegi M, Gómez-Robles A, Gómez-Olivencia A (2018) Morphological integration in the gorilla, chimpanzee, and human neck. Am J Phys Anthropol 166(2):408–416
Bastir M (2018) Back to basics: morphological analysis in paleoanthropology. In: Schwartz J (ed) Rethinking human evolution. The MIT Press, Cambridge, pp 205–227
Bastir M, García Martínez D, Recheis W, Barash A, Coquerelle M, Rios L, Peña-Melián Á, García Río F, O’Higgins P (2013) Differential growth and development of the upper and lower human thorax. PLoS One 8(9):e75128
Bastir M, García Martínez D, Rios L, Higuero A, Barash A, Martelli S, García Tabernero A, Estalrrich A, Huguet R, de la Rasilla M, Rosas A (2017) Three-dimensional morphometrics of thoracic vertebrae in Neandertals and the fossil evidence from El Sidrón (Asturias, Northern Spain). J Hum Evol 108:47–61
Bastir M, García Martínez D, Spoor F, Williams SA (2018) Thoracic vertebral morphology of KNM-WT 15000. Proc Eur Soc Study Human Evol 7:11
Bastir M, Higuero A, Ríos L, García Martínez D (2014) Three-dimensional analysis of sexual dimorphism in human thoracic vertebrae: implications for the respiratory system and spine morphology. Am J Phys Anthropol 155(4):513–521
Bastir M, O’Higgins P, Rosas A (2007) Facial ontogeny in Neanderthals and modern humans. Proc R Soc B Biol Sci 274:1125–1132
Bastir M, Rosas A (2009) Mosaic evolution of the basicranium in Homo and its relation to modular development. Evol Biol 36:57–70
Bastir M, Rosas A (2011) Nasal form and function in Midpleistocene human facial evolution. A first approach. Am J Phys Anthropol 144(S52):83
Bastir M, Rosas A, O’Higgins P (2006) Craniofacial levels and the morphological maturation of the human skull. J Anat 209(5):637–654
Been E, Gómez-Olivencia A, Kramer PA (2012) Lumbar lordosis of extinct hominins. Am J Phys Anthropol 147(1):64–77
Been E, Gómez-Olivencia A, Kramer PA, Barash A (2017a) 3D reconstruction of the spinal posture in the Kebara 2 Neanderthal. In: Marom A, Hovers E (eds) Human paleontology and prehistory. Springer International Publishing, Cham, pp 239–251
Been E, Gómez-Olivencia A, Shefi S, Soudack M, Bastir M, Barash A (2017b) Evolution of spinopelvic alignment in hominins. Anat Rec 300(5):900–911
Been E, Peleg S, Marom A, Barash A (2010) Morphology and function of the lumbar spine of the Kebara 2 Neandertal. Am J Phys Anthropol 142(4):549–557
Bookstein FL (1991) Morphometric tools for landmark data. Cambridge University Press, Cambridge
Bookstein FL (1996) Combining the tools of geometric Morphometrics. In: Marcus LF (ed) Advances in Morphometrics. Plenum Press, New York, pp 131–151
Bookstein FL (2017a) A method of factor analysis for shape coordinates. Am J Phys Anthropol 164(2):221–245
Bookstein FL (2017b) A newly noticed formula enforces fundamental limits on geometric morphometric analyses. Evol Biol 44(4):522–541
Bookstein FL, Gunz P, Mitteroecker P, Prossinger H, Schaefer K, Seidler H (2003) Cranial integration in Homo: singular warps analysis of the midsagittal plane in ontogeny and evolution. J Hum Evol 44(2):167–187
Chamero B, Buscalioni AD, Marugán-Lobón J, Sarris I (2014) 3D geometry and quantitative variation of the cervico-thoracic region in crocodylia. Anat Rec 297(7):1278–1291
Chatzigianni A, Halazonetis DJ (2009) Geometric morphometric evaluation of cervical vertebrae shape and its relationship to skeletal maturation. Am J Orthod Dentofac Orthop 136(4):481.e481–481.e489
Cobb S, O’Higgins P (2002) The ontogeny of form in the African ape facial skeleton: a hierarchical approach to the interspecific comparison of ontogenetic trajectories. Am J Phys Anthropol 117(S34):55
Cobb S, O’Higgins P (2004) Hominins do not share a common postnatal facial ontogenetic shape trajectory. J Exp Zool B Mol Dev Evol 302B(3):302–321
Diaconis P, Goel S, Holmes S (2008) Horseshoes in multidimensional scaling and local kernel methods. Ann Appl Stat 2(3):777–807
García-Martínez D, Riesco A, Bastir M (2018b) Missing element estimation in sequential anatomical structures: the case of the human thoracic vertebrae and its potential application to the fossil record. In: Carme Rissech LL, Joordi Nadal, Josep Maria Fullola (eds) Geometric morphometrics Trends in biology, paleobiology and archaeology: Seminari d’Estudis i Recerques Preshistoriques, Universitat de Barcelona (SERP), Societat Catalana d’Arqueologia (SCA), p 93–97
García-Martínez D, Torres-Tamayo N, Torres-Sanchez I, García-Río F, Bastir M (2016) Morphological and functional implications of sexual dimorphism in the human skeletal thorax. Am J Phys Anthropol 161(3):467–477
García-Martínez D, Martelli S, Bastir M, O’Higgins P (2015) Neanderthal lumbar lordosis assessed by 3D geometric morphometrics of vertebral morphology, ESHE. PESHE, London, p 95
García-Martínez D, Torres-Tamayo N, Torres-Sánchez I, García-Río F, Rosas A, Bastir M (2018a) Ribcage measurements indicate greater lung capacity in Neanderthals and lower Pleistocene hominins compared to modern humans. Commun Biol 1(1):117
Gómez-Olivencia A (2013) Back to the old man’s back: reassessment of the anatomical determination of the vertebrae of the Neandertal individual of La Chapelle-aux-saints. Annales de Paléontologie 99(1):43–65
Gómez-Olivencia A, Arlegi M, Barash A, Stock JT, Been E (2017) The Neandertal vertebral column 2: the lumbar spine. J Hum Evol 106:84–101
Gómez-Olivencia A, Barash A, García-Martínez D, Arlegi M, Kramer P, Bastir M, Been E (2018) 3D virtual reconstruction of the Kebara 2 Neandertal thorax. Nat Commun 9(1):4387
Gower JC (1975) Generalized procrustes analysis. Psychometrika 40(1):33–51
Gunz P, Mitteroecker P (2013) Semilandmarks: a method for quantifying curves and surfaces. Hystrix 24(1):103–109
Gunz P, Mitteroecker P, Bookstein FL (2005) Semilandmarks in three dimensions. In: Slice D (ed) Modern morphometrics in physical anthropology. Springer, New York, pp 73–98
Gunz P, Mitteroecker P, Neubauer S, Weber GW, Bookstein FL (2009) Principles for the virtual reconstruction of hominin crania. J Hum Evol 57(1):48–62
Jellema LM, Latimer B, Walker A (1993) The rib cage. In: Walker A, Leakey R (eds) The Nariokotome Homo erectus skeleton. Harvard University Press, Cambridge, MA, pp 294–325
Kendall DG (1970) A mathematical approach to seriation. Philos Trans R Soc Lond A Math Phys Eng Sci 269(1193):125–134
Klingenberg CP, Marugán-Lobón J (2013) Evolutionary covariation in geometric morphometric data: analyzing integration, modularity and allometry in a phylogenetic context. Syst Biol 62:591–610
Latimer B, Lovejoy CO, Spurlock L, Haile-Selassie Y (2016) The thoracic cage of KSD-VP-1/1. In: Haile-Selassie Y, Su DF (eds) The postcranial anatomy of Australopithecus afarensis: new insights from KSD-VP-1/1. Springer Science+Business Media, Dordrecht, pp 143–153
Lois Zlolniski S, García Martínez D, García Blanco E, Sanchis Gimeno JA, Barash A, Martelli S, Nalla S, Bastir M (2017) 3D geometric morphometrics of lumbar vertebral curvatures in H. sapiens. Am J Phys Anthropol 162(S64):265
Lois Zlolniski S, Torres-Tamayo N, García Martínez D, Blanco-Pérez E, Mata Escolano F, Barash A, Nalla S, Martelli S, Sanchis Gimeno JA, Bastir M (2019) 3D geometric morphometric analysis of variation in the human lumbar spine. Am J Phys Anthropol
Lovejoy CO (2005) The natural history of human gait and posture. Gait Posture 21(1):95–112
Mallison H (2010) The digital Plateosaurus II: an assessment of the range of motion of the limbs and vertebral column and of previous reconstructions using a digital skeletal mount. Acta Paleontologica Polonia 55(3):433–458
Manfreda E, Mitteroecker P, Bookstein FL, Schaefer K (2006) Functional morphology of the first cervical vertebra in humans and nonhuman primates. Anat Rec B New Anat 289B(5):184–194
Mardia KV, Bookstein FL, Moreton IJ (2000) Statistical assessment of bilateral symmetry of shapes. Biometrika 87(2):285–300
Martelli SA (2005) A comparative morphometric study of the hominoid lumbar spine. Ph.D. thesis, University of London
McIntyre DC, Rakshit S, Yallowitz AR, Loken L, Jeannotte L, Capecchi MR, Wellik DM (2007) Hox patterning of the vertebrate rib cage. Development 134(16):2981–2989
Meyer MR, Woodward C, Tims A, Bastir M (2018) Neck function in early hominins and suspensory primates: insights from the uncinate process. Am J Phys Anthropol 166(3):613–637
Mitteroecker P, Bookstein F (2011) Linear discrimination, ordination, and the visualization of selection gradients in modern morphometrics. Evol Biol 38(1):100–114
Mitteroecker P, Gunz P (2009) Advances in geometric morphometrics. Evol Biol 36(2):235–247
Mitteroecker P, Gunz P, Bernhard M, Schaefer K, Bookstein FL (2004) Comparison of cranial ontogenetic trajectories among great apes and humans. J Hum Evol 46(6):679–698
Nalley TK, Grider-Potter N (2017) Functional analyses of the primate upper cervical vertebral column. J Hum Evol 107:19–35
Neubauer S, Gunz P, Leakey L, Leakey M, Hublin J-J, Spoor F (2018) Reconstruction, endocranial form and taxonomic affinity of the early Homo calvaria KNM-ER 42700. J Hum Evol 121:25–39
O’Higgins P (2000) The study of morphological variation in the hominid fossil record: biology, landmarks and geometry. J Anat 197:103–120
Palancar CA, García-Martínez D, Barash A, Radovčić D, Rosas A, Bastir M (2018) Reconstruction of the atlas (C1) of the La Chapelle-aux-saints Neanderthal through geometric morphometric techniques. Proc Eur Soc Study Human Evol 7:152
Plomp KA, Roberts CA, Viðarsdóttir US (2012) Vertebral morphology influences the development of Schmorl’s nodes in the lower thoracic vertebrae. Am J Phys Anthropol 149(4):572–582
Plomp KA, Roberts C, Viðarsdóttir US (2015a) Does the correlation between Schmorl’s nodes and vertebral morphology extend into the lumbar spine? Am J Phys Anthropol 157(3):526–534
Plomp KA, Viðarsdóttir US, Weston DA, Dobney K, Collard M (2015b) The ancestral shape hypothesis: an evolutionary explanation for the occurrence of intervertebral disc herniation in humans. BMC Evol Biol 15:68
Plomp KA, Viðarsdóttir US, Weston DA, Dobney K, Collard M (2018) Adaptations for bipedalism in human vertebrae: a 3D geometric morphometric analysis. Proc Eur Soc Study Human Evol 7:152
Ponce de León M, Zollikofer C (2001) Neandertal cranial ontogeny and its implications for late hominid diversity. Nature 412:534–538
R Core Team (2017) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna
Riesco López A, García-Martínez D, Bastir M (2018) Reconstrucción del segmento torácico de la columna vertebral en Paleoantropología. In: Amayuelas E, Bilbao-Lasa P, Bonilla O, del Val M, Errandonea-Martin J, Garate-Olave I, García-Sagastibelza A, Intxauspe-Zubiaurre B, Martinez-Braceras N, Perales-Gogenola L, Ponsoda-Carreres M, Portillo H, Serrano H, Silva-Casal R, Suárez-Bilbao A, Suarez-Hernando O (eds) Life finds a way. Encuentro de Jóvenes Investigadores en Paleontología, Gasteiz, pp 241–244
Ríos L, Palancar CA, Pastor F, Llidó S, Sanchís-Gimeno JA, Bastir M (2017) Shape change in the atlas with congenital midline non-union of its posterior arch: a morphometric geometric study. Spine J 17(10):1523–1528
Rohlf FJ (1996) Morphometric spaces, shape components and the effects of linear transformations. In: Marcus LF (ed) Advances in morphometrics. Plenum Press, New York, pp 117–128
Rohlf FJ (2000) On the use of shape spaces to compare morphometric methods. Hystrix 111:19–25
Rohlf FJ (2003) Bias and error in estimates of mean shape in geometric morphometrics. J Hum Evol 44(6):665–683
Rohlf FJ, Corti M (2000) The use of two-block partial least-squares to study covariation in shape. Syst Zool 49:740–753
Rohlf FJ, Marcus LF (1993) A revolution in morphometrics. Trends Ecol Evol 8(4):129–132
Sarris I (2013) Organización morfológica y variación del esqueleto axial de víboras. Doctoral dissertation, Universidad Autónoma de Madrid, Spain
Sarris I, Chamero B (2009) Serial homology and the horseshoe effect. Proceedings of the I Iberian Symposium on Geometric Morphometrics. p 111–112
Sawyer GJ, Maley B (2005) Neanderthal reconstructed. Anat Rec B New Anat 283B(1):23–31
Schlager S (2017) Morpho and Rvcg – shape analysis in R: R-packages for geometric morphometrics, shape analysis and surface manipulations. In: Zheng G, Li S, Székely G (eds) Statistical shape and deformation analysis: methods, implementation and applications. Elsevier Academic Press, San Diego, pp 217–256
Schlösser TPC, van Stralen M, Chu WCW, Lam T-P, Ng BKW, Vincken KL, Cheng JCY, Castelein RM (2016) Anterior overgrowth in primary curves, compensatory curves and junctional segments in adolescent idiopathic scoliosis. PLoS One 11(7):e0160267
Schultz AH (1942) Conditions for balancing the head in primates. Am J Phys Anthropol 29(4):483–497
Shefi S, Soudack M, Konen E, Been E (2013) Development of the lumbar lordotic curvature in children from age 2 to 20 years. Spine 38(10):E602–E608
Sokal RR, Rohlf FJ (1998) Biometry. W.H. Freeman and Company, New York
Solanas S, García-Martínez D, Bastir M (2015) Morfometría geométrica 3D de la columna vertebral de hominoideos y sus implicaciones para el entendimiento de la postura bípeda en Australopithecus. Proceedings of the 19th annual meeting of the Sociedad Española de Antropología Física SEAF. p 132
Torres-Tamayo N, García-Martínez D, Lois Zlolniski S, Torres-Sánchez I, García-Río F, Bastir M (2018) 3D analysis of sexual dimorphism in size, shape and breathing kinematics of human lungs. J Anat 232(2):227–237
Waldock C, Milne N, Rubenson J, Donnelly CJ (2016) The use of geometric morphometric techniques to identify sexual dimorphism in gait. J Appl Biomech 32(5):441–448
Weber GW (2015) Virtual anthropology. Am J Phys Anthropol 156:22–42
Weber GW, Bookstein FL (2011) Virtual anthropology: a guide to a new interdisciplinary field. Springer-Verlag, Vienna
Whitcome KK, Shapiro LJ, Lieberman DE (2007) Fetal load and the evolution of lumbar lordosis in bipedal hominins. Nature 450(7172):1075–1078
Williamson MH (1978) The ordination of incidence data. J Ecol 66(3):911–920
Zelditch ML, Swiderski DL, Sheets HD, Fink WL (2012) Geometric morphometrics for biologists: a primer. Elsevier Academic Press, San Diego
Acknowledgments
We thank Ella Been, Patricia Kramer, Asier Gómez-Olivencia and Alon Barash for the invitation to participate in this volume. Antonio Rosas provided access to material from El Sidrón. Paul O’Higgins and the anonymous reviewers and the editors have provided useful thoughts. This work is funded by CGL2015-63648-P (MINECO, Spain).
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Bastir, M. et al. (2019). Geometric Morphometric Studies in the Human Spine. In: Been, E., Gómez-Olivencia, A., Ann Kramer, P. (eds) Spinal Evolution. Springer, Cham. https://doi.org/10.1007/978-3-030-19349-2_16
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