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\section{Introduction}  \textit{Carollia} is a genus ofphyllostomid,  fruit-eating phyllostomid  bats with a  widespread distributed distribution  and highly abundant in high abundance from  the Neotropic. These species are crucial for different ecological processes, like seed dispersal and restoration of tropical forests. Due to their ecological plasticity, species of this genus are often found in disturbed and transformed ecosystems that are under high levels of pressure. It is also common two find two or even three sympatric species all along South America. Currently, up to eight species are accepted in this genus (\textit{C. benkeithi}, \textit{C. brevicauda}, \textit{C. castanea}, \textit{C. manu}, \textit{C. monohernandezi}, \textit{C. perspicillata}, \textit{C. subrufa}, \textit{C. sowelli}), and it has been discussed the taxonomic identity of another one (\textit{C. colombiana}). The taxonomy of these species is unclear based on morphological and morphometric data , data,  and some of them have been considered to be complex of species yet unsolved. This genus has been of particular interest in Colombia -highest phyllostomid species richness in the world-, where two species (\textit{C. colombiana} and \textit{C. monohernandezi})have been described in the last 15 years, and at least four of the six South American species of this genus are present. A broad variety of studies have focused in this genus, offering detailed information regarding their evolutionary history, behavior, functional morphology and ecology. Also, other studies have tried to shed light on its taxonomy, studying the morphological boundaries between species, as well as the effect of both biotic and environmental traits on its morphological plasticity. Despite the lack of concise agreement, the general consensus sets size variations as the main source of morphological differentiation between species. Hence, this feature has been widely used as a taxonomic clue to identify some of these species. However, published research using molecular approaches indicate that the morphological description and discrimination of these species is inaccurate, and misleads researchers from solving the identity of unknown cryptic species.     Given the fact that is becoming more evident that the use of Traditional Morphometrics (TM) for taxonomic purposes is not as accurate as expected, though before,  the implementation of Geometric Morphometrics (GM) in this field is increasing. GM enables the decomposition of morphological variation in two independent components: size and shape. Although it has been accepted that size is the main source of variation in this genus, recent studies have re-evaluated this assumption, finding enough evidence to argue this hypothesis and propose that shape is even more also  important for species delimitation in \textit{Carollia}. Within GM and the variety of tools and approaches available to study morphological variation, analyzing the presence and patterns of asymmetry on a feature is been used to study hidden sources of variation (e.g. developmental instability, genetics and phenotypic variation). There are three main types of asymmetry; Fluctuating Asymmetry (FA), Directional Asymmetry (DA) and Antisymmetry (AS). Each type has specific mathematical basis and ecological interpretation: FA reflects genetic and developmental factors and it is usually used as an indicator of stress or environmental instability; DA serves to describe specific patterns of morphological variation within a sample, and it is usually associated with the inherent biology of each taxon.   The utility of decomposing the morphological variation in its symmetric and asymmetric components in order to elucidate differences between groups species  has not been sufficiently explored. Previous studies show the adequacy of this approach to detect specific patterns of morphological variation that could even be useful to taxonomically discriminate species within a genus. This methodology has only been used to study the morphology of taxa with fractal and radial symmetry. In order to further explore the importance of shape variation for the morphological delimitation and identification of \textit{Carollia} species, in this study, it was aimed to isolate and study the patterns of symmetric and asymmetric morphological variation of the genus \textit{Carollia} in Colombia.    \section{Materials and methods}  Crania of 286 specimens (\textit{C. brevicauda=108}; brevicauda}=108;  \textit{C. castanea}=82; \textit{C. perspicillata}=96) were photographed with a Nikon D5100 camera and a AF-S DX Nikkor 18-55mm f/3.5-5.6G VR lens in occlusal view. \textit{C. monohernandezi} was not considered for these analyses due to the small sample size available (known only for its holotype).  Blaker (1976) methodology for estimating optimal focal distance was used to standardize the photographs and ensure their best quality. 16 paired  landmarks and semilandmarks were used to describe cranial shape, following Klingenberg (2015) guidelines to study structures with object symmetry. Object symmetry divides a an unique  structure in two subregions based on a plane of symmetry. Two extra single landmarks were used to set the symmetry plane on the sagittal axis of the cranium. Landmark digitalization was performed using TPSDIG version 2.16.  After the Procrustes coordinates dataset was obtained for the original configurations, a second dataset for the reflected mirror images of all original configurations was obtained in order to perform the Generalized Procrustes Analysis (GPA). GPA is a statistical method to superimpose landmarks coordinates, while removing the influence non-morphological sources of variation as a result of scaling, rotation and translation. A consensus, tangent configuration is obtained from the average coordinates of the original-mirror dataset. To peform a GPA in configurations with object symmetry, each original configuration has to be combined with its mirror image, after relabeling landmarks of the mirror configuration, to ensure the correct pairing between original and mirror landmarks.  Further, a Procrustes ANOVA was performed in order to test statistical differences between species, as well as statistical presence of DA, and a MANOVA to check the presence of FA. Statistical significance on the "Side" component of the Procrustes ANOVA means that there is a consistent, asymmetrical distribution in the variation between both sides of the cranium, which indicates the presence of DA. Alternaly, when interpreting the MANOVA, statistical significance for the "Ind*Side" factor means that the morphological variation is due to the interaction between the within-group variation and the variation on each side of the cranium, reflecting presence of FA.