Three-dimensional geometric morphometrics of thorax-pelvis covariation and its potential for predicting the thorax morphology: A case study on Kebara 2 Neandertal
Introduction
The skeletal torso is a complex structure of considerable importance in understanding the evolution of human body shape and its paleobiological implications (Ruff, 1991; Schmid, 1991; Carretero et al., 2004; Holliday, 2012; Jungers et al., 2016; Bastir et al., 2020). Torso reconstruction in fossil hominins is crucial to shed light on their body plans, particularly in view of how tightly it is linked to body mass and stature (Ruff et al., 1997; Arsuaga et al., 1999, 2015; Holliday, 2012; Carretero et al., 2004; Simpson et al., 2008; Ruff, 2010), and potentially body energetic demands (Franciscus and Churchill, 2002; Churchill, 2006, 2014; Froehle and Churchill, 2009; García-Martínez et al., 2018a, b, c; Gómez-Olivencia et al., 2018). However, torso reconstruction may pose challenges because its morphology depends on the interaction not only within the thorax (ribs, vertebrae, and sternum), the lumbar spine, and the pelvis but also between them and their associated soft tissues, which are not generally preserved in the fossil record. Fortunately, as thorax and pelvis morphologies covary (Middleton, 2015; Torres-Tamayo et al., 2018), these anatomical parts can inform us about each other, and previous researchers used this information to elucidate complete hominin torso morphologies (Schmid, 1983, 1991; Jellema et al., 1993; Walker and Ruff, 1993; Tague and Lovejoy, 1998; Sawyer and Maley, 2005; Simpson et al., 2008; Berge and Goularas, 2010; Schmid et al., 2013; Latimer et al., 2016; Brassey et al., 2018; Gómez-Olivencia et al., 2018; Laudicina et al., 2019).
In some of the aforementioned studies, reconstructions of skeletal trunk elements have been made through classical methodological approaches using different materials, such as wax or plaster (e.g., Schmid, 1983; Walker and Ruff, 1993; Sawyer and Maley, 2005; Simpson et al., 2008). However, virtual reconstruction methods have become increasingly popular in the past few years and are an excellent alternative to these classic techniques as they reduce the risk of damaging the original fossils during handling (Zollikofer and Ponce de León, 2005; Gunz et al., 2009; Weber and Bookstein, 2011; Bastir et al., 2019a). Among these techniques, geometric morphometrics (GM) has become an important tool for aiding in fossil reconstruction, and a 3D approach, in addition to the inclusion of sliding semilandmarks, has considerably improved the estimation of missing data (Slice, 2005, 2007; Benazzi et al., 2009; Gunz et al., 2009; Mitteroecker and Gunz, 2009; O'Higgins et al., 2011; Gunz and Mitteroecker, 2013; García-Martínez et al., 2014; Brassey et al., 2018; Schlager et al., 2018). In turn, these methods have been the basis for virtual reconstructions of different trunk fossil elements (Berge and Goularas, 2010; García-Martínez et al., 2014, 2018d; Claxton et al., 2016; Brassey et al., 2018; Rmoutilová et al., 2019).
Among the missing data estimation techniques are those using multiple multivariate regressions for statistical reconstruction based on a reference sample (Bookstein et al., 2003; Gunz et al., 2004; Weber and Bookstein, 2011; Stelzer et al., 2018). In this approach, multiple variables (e.g., a set of 3D coordinates on an anatomical structure) are regressed on all other variables in a reference sample of complete specimens, and missing values (3D coordinates) are predicted by the generated linear regression model. Gunz et al. (2004) presented this method for reconstructing incomplete human crania and demonstrated that regression-based reconstruction was more accurate than the thin plate spline warping and mean substitution methods. This technique has been recently used for fossil reconstruction by Stelzer et al. (2018), who demonstrated that dental arcades of extinct hominins can be reliably predicted using the covariation between upper jaws and lower jaws of a reference sample composed of extant hominoids with previously demonstrated known associations (Stelzer et al., 2017).
The two-block partial least squares (2B-PLS) regression method was first applied to investigate covariation in shape data by Rohlf and Corti (2000), and subsequent studies have used this method to statistically assess the covariation between two or more different sets of shape variables (Bookstein et al., 2003; Bastir et al., 2005; Mitteroecker and Bookstein, 2007; Mitteroecker et al., 2012; Klingenberg and Marugán-Lobón, 2013; Adams and Collyer, 2016; Arlegi et al., 2018; Neaux et al., 2018; Scott et al., 2018; Torres-Tamayo et al., 2018). Gunz et al. (2009) referred to the 2B-PLS analysis as a method to reduce high dimensionality of data in regression-based predictive analysis while exploiting the morphological integration between the known and missing parts. Furthermore, it has also shown great potential for predicting missing elements: one block can be predicted from the other one based on the strength of covariation between blocks in a reference sample (Schlager, 2013; Archer et al., 2018; Torres-Tamayo et al., 2019; Bastir et al., 2019b). By studying stone tools, Archer et al. (2018) demonstrated that a flake body could be accurately predicted from the platform body based on the covariation between these two structures. In testing whether this predictive analysis could be applied to an organism, Bastir et al. (2019b) successfully predicted anatomically connected lumbar spines from isolated lumbar vertebrae in modern humans, thus validating this method for the first time in an anatomical system.
One of the best fossil examples to which classic and virtual techniques have been applied is the Kebara 2 specimen (Homo neanderthalensis, ∼60 ka; Valladas and Valladas, 1991). This well-preserved young adult, presumed to be a male, was found in Kebara Cave (Israel) in 1983 and has been used as a key specimen in describing Neandertal postcranial anatomy (Rak and Arensburg, 1987; Vandermeersch, 1991; Been et al., 2010; Gómez-Olivencia et al., 2009, 2013, 2017, 2018; García-Martínez et al., 2014; Chapman et al., 2017). The thorax, which is usually badly preserved mainly due to the fragility of the ribs, has been the focus of several works that characterized isolated thoracic elements of Kebara 2 and helped to lay the foundation to describe the thoracic morphology of this specimen (Arensburg, 1991; Gómez-Olivencia et al., 2009; García-Martínez et al., 2014, 2018a, b, c; Been et al., 2017; Chapman et al., 2017).
The first approach to a Neandertal skeleton reconstruction was performed by Sawyer and Maley (2005), who based their reconstruction of La Ferrassie 1 on recovered material from other Neandertal skeletons. Among these specimens, these authors used the thoracic vertebrae, ribs, and sternum of Kebara 2 Neandertal to reconstruct the thorax, using clay and epoxy paste to fill missing areas. This thorax exhibits a dome-shaped upper part and a markedly flaring lower part, which, together with notable rib declination, results in an anteroposterior flattened bell-shaped reconstruction. According to Sawyer and Maley (2005: 30), “Although the ribcage and pelvis are visually compelling and convincing in demonstrating the relative difference in Neandertals and modern humans, the introduction of some degree of artistic license makes it difficult to comment on the significance of these differences.” As part of this artistic license, the authors altered the first and second rib lengths of their thorax reconstruction to better match the somewhat larger La Ferrassie 1 shoulder girdle. Even so, the bell-shaped thorax reconstruction performed by Sawyer and Maley (2005) has been considered the only approach to Kebara 2 thorax morphology until recently.
Gómez-Olivencia et al. (2018) combined published data and anatomical expertise to reconstruct the thorax of Kebara 2 using 3D virtual techniques. These authors first reconstructed the thoracic vertebral column of this specimen by slightly modifying a previous reconstruction undertaken by Been et al. (2017), then correcting taphonomic and reconstruction deformation of the isolated ribs and using mirror images when necessary, and virtually articulating the ribs and sternal elements. This reconstruction was analyzed using both traditional morphometrics and 3D geometric morphometrics (3DGM) within a comparative framework composed of 16 thoraces of adult male Homo sapiens individuals. These authors found that Kebara 2 showed a wider lower thorax with a pronounced invagination of the thoracic spine and a more horizontal orientation of the ribs than modern human males of similar stature.
The reconstructions produced by Sawyer and Maley (2005) and Gómez-Olivencia et al. (2018) reinforce the widely accepted morphology of the Neandertal thorax: this species showed a large costal skeleton, especially in the mid-thoracic ribs, and more dorsally oriented transverse processes in the mid-thoracic spine that leads to a wider lower thorax in the mid-lower segment (Franciscus and Churchill, 2002; Sawyer and Maley, 2005; Gómez-Olivencia et al., 2009, 2018, 2019; García-Martínez et al., 2014, 2017, 2018a, b, c; Bastir et al., 2015, 2017; Gómez-Olivencia et al., 2018, 2019). However, achieving these reconstructions has proved difficult as the thorax is a complex structure composed of different elements that need to be articulated, and this requires vast anatomical expertise. In vivo, these structures are anatomically connected through the costovertebral and the costochondral joints (Graeber and Nazim, 2007; Beyer et al., 2014), so thorax morphology relies on anatomical relationships between these elements. However, these cartilaginous joints are generally not preserved in the fossil record, and thus, any thorax reconstruction relies on how ribs are articulated to their corresponding thoracic vertebrae. As a consequence, there could be more than one way to align the thoracic elements depending on each researcher's criteria, which could affect rib orientation and declination, thus modifying the anteroposterior, mediolateral, and craniocaudal diameters of the articulated thorax. These different assumptions of researchers might also be based on different interpretations of the body shapes of extinct hominins, which is then reflected in their reconstructions (Schmid, 1983; Bonmatí et al., 2010; Arsuaga et al., 2015; Latimer et al., 2016; Gómez-Olivencia et al., 2018; Haeusler et al., 2019). This reinforces the necessity of developing new and complementary approaches for such reconstructions.
This work aims to test whether thorax morphologies can be predicted from pelvic morphologies using 3DGM techniques and 2B-PLS analysis, working as a predictive method (Schlager, 2013; Archer et al., 2018; Torres-Tamayo et al., 2019; Bastir et al., 2019b). This method was first tested on a comparative sample composed of living humans with known associations between thorax and pelvis shape and then applied to the Kebara 2 Neandertal specimen, the thoracic and pelvic morphologies of which are well known, thanks to previous reconstructions of these two anatomical structures (Rak and Arensburg, 1987; Sawyer and Maley, 2005; Gómez-Olivencia et al., 2018). We used two different pelvic predictors and three different thoracopelvic covariation models based on an adult living H. sapiens reference sample. The resulting six thorax predictions were compared with each other and with the two thorax reconstructions of Kebara 2 Neandertal previously published (Sawyer and Maley, 2005; Gómez-Olivencia et al., 2018). Finally, the limitations of this predictive method are discussed.
Section snippets
Sample
A total of 60 thoracoabdominopelvic CT scans of adult living H. sapiens individuals (sample composition: n = 31, Spanish; n = 29, South African; see details in Supplementary Online Material [SOM] Table S1) were segmented using the open-source software 3D Slicer version 4.8 (Kikinis et al., 2014), which applied the marching cubes algorithm to render 3D triangular meshes (Lorensen and Cline, 1987). The use of the Spanish human sample for research purposes was approved in the context of the mutual
Human predictive models
Table 2 shows mean Procrustes distances between actual and predicted thoraces for each model, as well as mean Procrustes distances between every possible pair within each reference sample. Further details of each predictive model are described in the following sections.
Discussion
In the present study, we aimed to apply the 2B-PLS analysis as a predictive method (Schlager, 2013; Archer et al., 2018; Torres-Tamayo et al., 2019; Bastir et al., 2019b)∖ to test whether thorax morphologies can be predicted from pelvis morphologies within the genus Homo. For this purpose, we first validated the method in three modern human reference samples following Stelzer et al. (2018) to then predict the thorax morphology of the well-known specimen Kebara 2 Neandertal. The purpose of this
Conclusions
This work shows the potential of a 3DGM method to predict thorax morphologies from pelvis morphologies based on a statistical model that exploits the covariation between the thorax and the pelvis. Prediction results are less sensitive to the structures used as predictors than to the reference sample chosen to calculate the predictive models. Therefore, careful reflection about the choice of the reference sample is necessary before any mathematical predictions. In this study, the male-only
Competing interests
The authors declare no competing interests.
Acknowledgments
We thank the members of the Virtual Morphology Lab (Museo Nacional de Ciencias Naturales-Consejo Superior de Investigaciones Científicas) and Lucía Peña López for helpful and critical discussions on previous versions of the manuscript. We are grateful to Caroline VanSickle, Jeremy DeSilva, Karen Rosenberg, Gary Sawyer, Blaine Maley, Tara Chapman, and Antonio Rosas for providing access to the casts and 3D models of Kebara 2 reconstructions used in this study. We specially thank Asier
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