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MANDIBULAR ALLOMETRY IN HYDROCHOERUS HYDROCHAERIS (LINNAEUS, 1766) (HYDROCHERINAE, CAVIIDAE)

ABSTRACT

The mammalian masticatory apparatus is a highly plastic region of the skull and thus subjected to singular ontogenetic trajectories. Here we present the first descriptive allometric pattern study of mandible among the capybara (Hydrochoerus hydrochaeris), based on the study of 37 specimens. Allometric changes in shape were analyzed using geometric morphometrics techniques and the pattern of allometry was visualized. A multivariate regression of the shape component on size, estimated by the logarithm of centroid size, appeared as highly significant. Therefore, a major component of shape variation in these mandibles is related to the attainment of adult size (i.e., growth).

KEY-WORDS:
Capybara; Jaw; Ontogeny; Rodentia; Scaling

RESUMEN

El aparato masticatorio de los mamíferos es una región altamente plástica del cráneo y, por ello, sujeta a trayectorias ontogénicas singulares. En este estudio presentamos el primer estudio descriptivo del patrón alométrico de la mandíbula en el capibara (Hydrochoerus hydrochaeris), basado en el estudio de 37 especímenes. Los cambios alométricos en la forma pura fueron analizados mediante técnicas de morfometría geométrica, permitiendo la visualización del patrón de alometría. Una regresión multivariada de la forma pura sobre el tamaño, estimado por el logaritmo del tamaño del centroide, apareció como altamente significativo. De ello, deducimos que la variación de la forma pura en la mandíbula está relacionada con la llegada al tamaño adulto, es decir, con el crecimiento.

PALABRAS-CLAVE:
Capibara; Mandíbula; Ontogenia; Rodentia; Escalado

INTRODUCTION

Being the mammalian masticatory apparatus a highly plastic region of the skull, rodents are some of the most highly specialized mammals in this respect (Hautier et al., 2011HAUTIER, L.; LEBRUN, R.; SAKSIRI, S.; MICHAUX, J.; VIANEY-LIAUD, M. & MARIVAUX, L. 2011. Hystricognathy vs. sciurognathy in the rodent jaw: a new morphometric assessment of hystricognathy applied to living fossil Laonastes (Rodentia, Diatomyidae). PLoS ONE, 6(4)1-11. e18698. http://doi.org/10.1371/journal.pone.0018698.
http://doi.org/10.1371/journal.pone.0018...
). A defining characteristic of rodents is the grossly enlarged pair of incisors, seen in both the upper and lower jaws, which are open-rooted and continue to grow throughout life (Hautier et al., 2011). These specializations, plus a small number of cheek teeth used for chewing, are associated with a specialized musculature (Schumacher, 1961SCHUMACHER, G.H. 1961. Funktionelle morphologie der kaumuskulatur. Jena, Gustav Fisher.). To cope with the demands imposed by such an unusual dentition and propaliny (e.g., the mandible can be moved fore and aft) (Cox et al., 2012COX, P.G.; RAYFIELD, E.J.; FAGAN, M.J.; HERREL, A.; PATAKY, T.C. & JEFFERY, N. 2012. Functional evolution of the feeding system in rodents. PLoS ONE, 7(4):1-11. e32699. http://doi.org/10.1371/journal.pone.0036299.
http://doi.org/10.1371/journal.pone.0036...
), the masticatory musculature of rodents has become highly specialized. The masseter is the dominant jaw-closing muscle, forming between 60% and 80% of the masticatory musculature (Sisson et al., 1982SISSON, S., GROSSMAN, J.D. & GETTY, R. 1982. Anatomía de los Animales Domésticos. Barcelona, Salvat Editores.), and is divided into three layers in rodents: the musculus masseter (with a pars superficialis and a pars profunda) and the musculus zygomaticomandibularis (sometimes termed the medial masseter).

Rodents have two feeding modes, gnawing at the incisors and chewing at the molars, but owing to a mismatch between the cranial and mandibular lengths, the incisors and molars cannot be in occlusion at the same time (Jamniczky & Hallgrímsson, 2009JAMNICZKY, H.A. & HALLGRÍMSSON, B. 2009. A comparison of covariance structure in wild and laboratory Muroid crania. Evolution, 63(6):1540-1556.; Tagliaro et al., 2009TAGLIARO, M.L.; DE OLIVEIRA, R.M.; CALLEGARI-JACQUES, S.M. & JECKEL-NETO, F.A. 2009. Morphological changes in the mandible of male mice associated with aging and biomechanical stimulus. Anatomical Record, 292(3):431-438.). Thus, the two feeding modes are mutually exclusive, and the mandible must be moved anteriorly and posteriorly with respect to the cranium.

Variations in the masseter complex, and the associated modifications of the skull, have traditionally been used as diagnostic characters to classify rodents (Parés-Casanova et al., 2015PARÉS-CASANOVA, P.M.; SAMUEL, O.M. & OLOPADE, J.O. 2015. Non-functional sexually dimorphic mandibular differences in the African rodent Thryonomys swinderianus (Temminck, 1827). Annals of Biological Research, 6(10):26-31. Available at: http://scholarsresearchlibrary.com/archive.html.
http://scholarsresearchlibrary.com/archi...
). The masseter extends its origin onto the rostrum and this can be done in one of three ways, referred to as sciuromorphy, hystricomorphy and myomorphy. Differences of muscle and skull morphology between the three groups confer benefits or costs on biomechanical performance (e.g., biting efficiency) (Panchetti et al., 2008PANCHETTI, F.; SCALICI, M.; CARPANETO, G.M. & GIBERTINI, G. 2008. Shape and size variations in the cranium of elephant-shrews: a morphometric contribution to a phylogenetic debate. Zoomorphology, 127(2):69-82.). The hystricomorphs, encompassing South American rodents plus some Old World forms such as porcupines, jerboas and capybara, have extended the zygomaticomandibularis muscle up through the orbit and anteriorly on to the rostrum through the enlarged infraorbital foramen. Its morphology produces a more effective grinding action at the molars.

Despite a recent revival of developmental studies investigating the early development and patterning of the cranial musculature in mammals (Smith, 2006SMITH, K.K. 2006. Craniofacial development in marsupial mammals: developmental origins of evolutionary change. Developmental Dynamics, 235(5):1181-1193.; Goswami, 2006GOSWAMI, A. 2006. Notes and Comments. Cranial Modularity Shifts during Mammalian Evolution. The American Naturalist, 168(2):270-280.; Wilson & Sánchez-Villagra, 2011WILSON, L.A.B. & SÁNCHEZ-VILLAGRA, M.R. 2011. Evolution and phylogenetic signal of growth trajectories: The case of chelid turtles. Journal of Experimental Zoology Part B: Molecular and Developmental Evolution, 316(1):50-60.) little is known about the late development and postnatal growth of the cranial system (but see, e.g.,Abdala et al., 2007ABDALA, F.; FLORES, D.A. & GIANNINI, N.P. 2007. Postweaning Ontogeny of the Skull of Didelphis albiventris. Journal of Mammalogy, 82(1):190-200.), and even less about the development of the associated musculature (Wainwright et al., 1976WAINWRIGHT, S.A.; BIGGS, W.D.; CURREY, J.D. & GOSLINE, J.M. 1976. Mechanical design in organisms. Princeton, NJ, Princeton University Press.; Dias et al., 2011DIAS, G.J.; COOK, R.B. & MIRHOSSEINI, M. 2011. Influence of food consistency on growth and morphology of the mandibular condyle. Clinical Anatomy, 24(5):590-598.). From a functional perspective, however, such studies can provide profound insights into the selective patterns operating during early ontogeny, which ultimately determine the adult form of an organism (e.g.,Herrel et al., 2008HERREL, A.; DE SMET, A; AGUIRRE, L.F. & AERTS, P. 2008. Morphological and mechanical determinants of bite force in bats: do muscles matter? The Journal of Experimental Biology, 211:86-91.) and may help to understand the systematic position of taxa characterized by highly derived anatomical features.

Morphometrics is defined as the quantitative description, analysis and interpretation of shape and variation of structures in biology (Richtsmeier et al., 2002RICHTSMEIER, J.T.; DELEON, V.B. & LELE, S.R. 2002. The promise of geometric morphometrics. American Journal of Physical Anthropology, Suppl. 35:63-91.; Galan, 2016GALAN, A.L. 2016. Morfometría geométrica: el estudio de la forma y su aplicación en biología. Temas de Ciencia y Tecnología, 19(55):53-59.). In a fundamental area of research, unlike the analytical approaches, the geometric one is aimed at comparison of the shapes (Reyment, 2010REYMENT, R.A. 2010. Morphometrics: An historical essay. In: Morphometric for nonmorphometricians. New York, Springer. p. 9-25. (Lecture notes in earth sciences, 124). Available at: www.springerlink.com/index/10.1007/978-3-540-95853-6.
www.springerlink.com/index/10.1007/978-3...
). Moreover, morphometric studies have played an important role in resolving taxonomic problems (Cardini & Thorington, 2006CARDINI, A. & THORINGTON, R.W. 2006. Postnatal Ontogeny of Marmot (Rodentia, Sciuridae) Crania: Allometric Trajectories and Species Divergence. Journal of Mammalogy, 87(2):201-215.).

By using the geometric morphometric approach, variation in form can be captured and the allometric and non-allometric components can be disentangled (Zelditch et al., 2012ZELDITCH, M.L.; SWIDERSKI, D.L. & SHEETS, D.H. 2012. Geometric morphometrics for biologists: A Primer. 2.ed. San Diego, Elsevier Academic Press.). In this study, we analyzed patterns of allometric variation in mandible size and shape of a hystricomorph species, Hydrochoerus hydrochaeris, the capybara, the largest member of the order Rodentia.

The capybara is a semi-aquatic rodent of South America (Cueto, 1999CUETO, G.R. 1999. Biología reproductiva y crecimiento del carpincho (Hydrochoerus hydrochaeris) en cautiverio: una interpretación de las estrategias poblacionales. Universidad de Buenos Aires.). Adult weighs from 27 to 79 kg, and is up to 50 cm tall and 100-130 cm in length (Cueto, 1999; Chacón et al., 2013CHACÓN, J.P.; LINARES, J.A.; CARRASCAL, J.V. & BALLESTEROS, J.C. 2013. Área de acción del chigüiro (Hydrochoerus isthmius) en un sistem agropecuario en Córdoba, Colombia. Revista Colombiana de Ciencia Animal, 5(2):270-281.). It is found from Panama Canal through northeastern Argentina (Cueto, 1999; Ulloa, 2005ULLOA, A.R. 2005. Distribución del hábitat del chigüire (Hydrochaeris hydrochaeris Linne 1766) en sabanas inundables de la Estación Biológica el Frío, Venezuela. Mérida-Venezuela, Universidad de Los Andes.). It is a selective grazer preferring grasses, but also including aquatic vegetation, grains, melons and squashes (Ulloa, 2005). Three species of capybara are currently recognized: Hydrochoerus hydrochaeris, the lesser capybara H. ishtmius, and an extinct species from Argentina, H. ballesterensis (Ojasti, 1973OJASTI, J. 1973. Estudio biológico del chiguire o capibara. Caracas, Ediciones del Fondo Nacional de Investigaciones Agropecuarias.; Vaughan et al., 2000VAUGHAN, T.A.; RYAN, J.M. & ZAPLEWSKI, N.J.C. 2000. Mammalogy. Fort Worth, Texas, S. C. Publishing.).

MATERIAL AND METHODS

Data collection

We examined 37 specimens of Hydrochoerus hydrochaeris held in the collections of the Departamento de Biología of the Universidad del Valle in Cali (Colombia) and Instituto de Ciencias Naturales of the Universidad Nacional de Colombia. Every specimen had been taxonomically identified to the species level, and were initially collected for other studies. As sex information was not available for all specimens studied, we performed all our analyses irrespective of sex.

Mandible landmarks obtention

Digital images of left lateral hemimandibles were taken with a Nikon D1500 digital camera equipped with an 18-105 mm Nikon DX telephoto lens. Each mandible was placed in the center of the optical field, with body oriented parallel to the image plane. The 13 landmarks on the left hemimandible (lateral aspect) were digitized by using TpsDig ver. 2.26 software (Rohlf, 2016ROHLF, F.J. 2016. tpsDig v. 2.26. New York, Stone Brook. Available at: http://life.bio.sunysb.edu/ee/rohlf/software.html.
http://life.bio.sunysb.edu/ee/rohlf/soft...
). The landmarks chosen were present on all specimens and were considered to sufficiently summarize the morphology of the lateral aspect of hemimandible - alveolus, tips of processes, and point of maximum curvature of structures - (Cardini & Slice, 2004CARDINI, A. & SLICE, D.E. 2004. Mandibular shape in the genus Marmota (Rodentia, Sciuridae): a preliminary analysis using outlines. Italian Journal of Zoology, 71(1):17-25.) (Fig. 1). Moreover, they can be used as the carrier of biological hypotheses of different morphogenetic mandibular units. Since the mandible is constituted by a unique dentary bone of relatively simple shape, most of the landmarks taken were of type 2 (e.g., it is supported only by geometric, not histological evidence; for instance, the maxima of curvature) (Bookstein, 1991BOOKSTEIN, F.L. 1991. Morphometric tools for landmark data. Geometry and biology. New York, Cambridge University Press.).

FIGURE 1
Lateral mandible view of Hydrochoerus hydrochaeris. Thirteen landmarks were used to capture mandibular shape. Mandibles were aligned by their tooth row to a stable plane.

Statistical analyses

To obtain information on shape with differences related to size, position and orientation removed (Rohlf, 2005ROHLF, F.J. 2005. Geometric morphometrics simplified. Trends in Ecology & Evolution, 20(1):13-14.). The data were first superimposed on Bookstein’s shape coordinates by IMP CoordGen8 (Sheets, 1998SHEETS, H.D. 1998. IMP: CoordGen8-Coordinate Generation Utility. Available at: www3.canisius.edu/~sheets/CoordGenManual.htm.
www3.canisius.edu/~sheets/CoordGenManual...
). We used centroid size (CS), the square root of the summed squared distances of each landmark from the centroid of the landmark configuration as a geometric measure of mandible size (Rohlf, 2005). Subsequently, mandibular form of each specimen was represented by CS, and by multidimensional shape vector in linearized Bookstein’s shape space.

For the smallest shape variation around the point of tangency, the best point of tangency is the sample mean form. TpsSmall ver. 1.33 software (Rohlf, 2015ROHLF, F.J. 2015A. The tps series of software. Hystrix, The Italian Journal of Mammalogy, 26(1):9-12. www.italian-journal-of-mammalogy.it/article/download/11264/pdf_11264.
www.italian-journal-of-mammalogy.it/arti...
b) was used to assess this correlation between the 2D distances to the Euclidean distances in that tangent space. The correlation was very close to linear for all of the data (r = 1.000; slope, b = 0.999), suggesting that tangent space was an adequate approximation to Kendall’s shape space (e.g., the mathematical properties of the shape space for landmark configurations) and that no specimens deviated appreciably from the linear regression line (Rohlf, 2005). Thus, although the mandible is not a perfect flat object, we considered that the two-dimensional approach implied quite a limited loss of information, and we proceeded with the morphometric analyses.

Size and shape variation

To explore variation in mandibular shape among specimens and to visualize its changes, we conducted a Principal Component Analysis (PCA) on the covariance matrix of the shape variables. The PCA analysis was performed using PAST Package ver. 2.17c (Hammer et al., 2001HAMMER, Ø.; HARPER, D.A.T. & RYAN, P.D. 2001. Past: Paleontological Statistics Software Package for Education and Data Analysis. Palaeontologia Electronica, 4(1).).

Analysis of allometry and removing the effect of size

To assess the effect of size on shape, we regressed the shape of the collection of specimens (captured as coordinates of landmarks) onto size (CS, log transformed) as independent variable using TpsRegr ver. 1.36 software (Rohlf, 2015ROHLF, F.J. 2015A. The tps series of software. Hystrix, The Italian Journal of Mammalogy, 26(1):9-12. www.italian-journal-of-mammalogy.it/article/download/11264/pdf_11264.
www.italian-journal-of-mammalogy.it/arti...
a).

RESULTS

The results of multivariate regression of shape variables (20 coordinates) on log CS revealed that shape variation could be clearly explained by allometry (Generalized Goodall F-test: F = 7.4662, df = 22, 770, p = 0.0000). Thus, our analyses indicated significant shape changes according to size changes. The position of the specimens in the morphospace defined by the first two axes obtained by PCA analysis of mandible shape variables and visualization of related, mandibular shape changes are presented in Fig. 2. The first two axes explained 54.8% (PC1 + PC2 = 33.5 + 21.3%) of the total observed variance. An additional 42.3% of variance was spread across PC3-PC23. Jolliffe cut-off was 8.734E-05. Both axes tended to distinguish between small specimens (understood as young animals) and bigger ones (understood as old animals). This suggests that most of the variation is driven by shape changes during growth.

FIGURE 2
Principal Component Analysis scatter plot for first two axes, which explained 54.8% (PC1 + PC2 = 33.5 + 21.3%) of the total observed variance, for Hydrochoerus hydrochaeris mandibles (n = 37). Ellipse is 95% confidence. Each dot represents one specimen. The major patterns of morphological variation in the pooled sample are reflected. Jolliffe cut-off was 8.734E-05.

Individual regressions of shape on centroid size display the pattern of allometric shape variation within the size range observed (Fig. 3). As such, allometry therefore explains a substantial part of shape variation and plays an important role in determining that main modifications are located in the ramus (landmarks 4, 5, 6 and 8) and in ventral part of the corpus (landmarks 9 and 10) and diastema (landmarks 12 and 13) (Fig. 4).

FIGURE 3
Multivariate regression of shape variables (26 coordinates, Y-axis) on log CS (X-axis) for Hydrochoerus hydrochaeris mandibles. It revealed that shape variation is clearly explained by allometry. Generalized Goodall F-test: F = 7.4662, df = 22, 770, p = 0.0000. Each dot represents one specimen (n = 37).

FIGURE 4
Loadings for Principal Component 1 for the 13 mandibular landmarks analyzed (PC1 = 33.5% of the total observed variance). Landmarks that contributed less to variation are located in the ramus (landmarks 4, 5, 6 and 8) and in ventral part of the corpus (landmarks 9 and 10) and diastema (landmarks 12 and 13).

DISCUSSION

For H. hydrochaeris there are papers concerning gastrointestinal parasites, blood parasites, anatomical studies on miology, habitats, diets and potential use of food, morphophysiology of urogenital system… but none is concerning (at least to author’s knowledge) to allometry. This is the first study of allometry of capybara focused on mandible using geometric morphometric methods. These methods can be defined as the quantitative description, analysis and interpretation of shape and variation of structures in biology. In a fundamental area of research, unlike the analytical approaches, the geometric one is aimed at comparison of the shapes.

In the sample studied of H. hydrochaeris there appeared a positive allometry, e.g., mandibular shape did vary according to mandibular size. Our analyses determined that mandibles exhibit positive allometry, whereby the relative size of mandibles becomes greater with increasing body size, indicating a functional dissociation with age (if the shape were the same throughout the life of animals, mechanical considerations, such the relative engulfment capacity and the specific physical forces at play during the feeding process, it would not increase allometrically with body size). A major component of shape variation in the mandibles of H. hydrochaeris is thus related to the attainment of adult size (i.e., postnatal growth). As an integral component of the craniomandibular apparatus, mandibles play an important role in feeding mechanics. So the detected growth pattern seems to be related to dental eruption: the body must become elongated along its whole length to provide space for the additional teeth developed in this part, and the depth of the body must then increase, owing to increased growth of the alveolar part, to afford room for the roots of the teeth. Bony parts which enable the jaw to withstand the powerful action of the masticatory muscles (muscular attachment points) change less. Thus, the forces produced by the action of the masticatory muscle are not affected by mandibular size.

These robust scaling relationships also would allow to predict mandible shape from fragmentary remains in the capybara. Furthermore, if the evolution of morphology is arguably the evolution of allometry, its changes in different sloth species could also contribute to a better understanding of Hydrocherus evolutionary relationships.

In conclusion, mandibular muscle mass increases during postnatal development and growth, as does the force-generating capacity of the jaw adductor muscles (notably the masseter complex).

ACKNOWLEDGEMENTS

We thank Catalina Cárdenas and Hugo Fernando López for access to the Instituto de Ciencias Naturales of the Universidad Nacional de Colombia collection, and Óscar Murillo, to the Departamento de Biología of the Universidad del Valle collection. We thank anonymous reviewers for their comments and suggestions.

REFERENCES

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    » http://doi.org/10.1371/journal.pone.0018698
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    » http://scholarsresearchlibrary.com/archive.html
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    » www.italian-journal-of-mammalogy.it/article/download/11264/pdf_11264
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  • Editor Responsável: Marcelo Duarte

Publication Dates

  • Publication in this collection
    Dec 2017

History

  • Received
    29 Nov 2017
  • Accepted
    20 Dec 2017
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