Genetic and morphological variation in sexual and asexual parasitoids of the genus Lysiphlebus – an apparent link between wing shape and reproductive mode

Background Morphological divergence often increases with phylogenetic distance, thus making morphology taxonomically informative. However, transitions to asexual reproduction may complicate this relationship because asexual lineages capture and freeze parts of the phenotypic variation of the sexual populations from which they derive. Parasitoid wasps belonging to the genus Lysiphlebus Foerster (Hymenoptera: Braconidae: Aphidiinae) are composed of over 20 species that exploit over a hundred species of aphid hosts, including many important agricultural pests. Within Lysiphlebus, two genetically and morphologically well-defined species groups are recognised: the “fabarum” and the “testaceipes” groups. Yet within each group, sexual as well as asexual lineages occur, and in L. fabarum different morphs of unknown origin and status have been recognised. In this study, we selected a broad sample of specimens from the genus Lysiphlebus to explore the relationship between genetic divergence, reproductive mode and morphological variation in wing size and shape (quantified by geometric morphometrics). Results The analyses of mitochondrial and nuclear gene sequences revealed a clear separation between the “testaceipes” and “fabarum” groups of Lysiphlebus, as well as three well-defined phylogenetic lineages within the “fabarum” species group and two lineages within the “testaceipes” group. Divergence in wing shape was concordant with the deep split between the “testaceipes” and “fabarum” species groups, but within groups no clear association between genetic divergence and wing shape variation was observed. On the other hand, we found significant and consistent differences in the shape of the wing between sexual and asexual lineages, even when they were closely related. Conclusions Mapping wing shape data onto an independently derived molecular phylogeny of Lysiphlebus revealed an association between genetic and morphological divergence only for the deepest phylogenetic split. In more recently diverged taxa, much of the variation in wing shape was explained by differences between sexual and asexual lineages, suggesting a mechanistic link between wing shape and reproductive mode in these parasitoid wasps. Electronic supplementary material The online version of this article (doi:10.1186/s12862-015-0293-5) contains supplementary material, which is available to authorized users.


Background
The morphological diversity of the living world, including the variation in size and shape, is generally assumed to be adaptive and shaped by natural selection. However, numerous internal factors, such as shared developmental systems inherited from common ancestors as well as structural and functional constraints, can restrict the response to selection [1][2][3]. An independently derived phylogeny is required to disentangle the effects of these influences on morphological evolution [4,5]. Although numerous studies have investigated morphological evolution in a phylogenetic context in various groups [6][7][8][9], this approach is still relatively rare in the studies of morphological variation in parasitoid wasps, even though they represent a very interesting biological model. Parasitoids are hyperdiverse (together with their hosts and host plants representing half of the world's biodiversity [10,11]) and they possess complex life cycles and morphologies shaped by intimate host-parasitoid interactions. The frequent occurrence of both sexual and asexual reproduction poses a particular challenge because asexual lineages can freeze and amplify particular portions of morphological variation.
We addressed these issues in aphid parasitoids belonging to the genus Lysiphlebus Foerster (Braconidae: Aphidiinae). They are solitary koinobiont parasitoids, meaning that a single parasitoid larva develops per aphid host and allows the host to continue its growth and development while feeding upon it. Lysiphlebus exploits over a hundred species of mostly small aphids, including many important pests (e.g., soybean aphid, Aphis glycines Matsumura; black bean aphid, A. fabae Scopoli; cotton aphid, A. gossypii Glover) [12,13].
Two species groups are recognised within the genus Lysiphlebus based on wing morphology [14] and molecular evidence [15]: the "fabarum" group and the "testaceipes" group. Taxa with sexual and asexual reproduction are present within both species groups, and they show some divergence in early life history traits and morphological traits [16], including wing shape [17]. For example, the species Lysiphlebus hirticornis Mackauer and L. melandriicola Starý ("fabarum" group), as well as L. testaceipes (Cresson) ("testaceipes" group), such as most Hymenoptera, reproduce by arrhenotoky (sexual reproduction) [18,19], in which fertilised eggs develop as females and unfertilised eggs develop as haploid males. By contrast, a recently described species of the "testaceipes" group, L. orientalis Starý & Rakhshani, reproduces exclusively by thelytoky (asexual reproduction) [14,15], that is by producing diploid females without fertilisation. Lysiphlebus balcanicus Starý, an endemic species of southeastern Europe also belonging to the "testaceipes" group, appears to be thelytokous as well, because only female specimens were encountered in samples collected over a long period of time [12,20,21]. Within the "fabarum" species group, three of the described species, namely L. fabarum (Marshall), L. cardui (Marshall) and L. confusus (Tremblay and Eady), occur in both sexual (arrhenotokous) and asexual (thelytokous) populations [22][23][24]. These three species were described based on morphological differences in the length and orientation of setae on the hind legs and on the distal margin of the wings, by which they are clearly distinguishable [24] (Figure 1). However, different genetic studies showed no or little support for the species status of these three taxa [22,24,25]. We will therefore refer to them as the fabarum, confusus and cardui morphs [24].
The polygenic basis of wing shape and its adaptive significance (flight, host finding), combined with the relative simplicity of a two-dimensional structure that allows a precise recording and analysis of the shape using geometric morphometrics, makes wing shape a very useful trait in the study of morphological evolution [7,[26][27][28]. Here, we explored the molecular variation (based on nuclear and mitochondrial genes) and morphological variation (based on wing shape) to analyse possible factors, including reproductive mode, that are associated with the evolution of wing shape in aphid parasitoids from the genus Lysiphlebus. Specifically, we addressed the following questions: i) Is genetic differentiation accompanied by parallel changes in the shape of the wing? ii) Are parasitoid wasps assigned to different morphs and/or with different reproductive modes also divergent in their wing shape?

Genetic diversity
All sequences of the amplified cytochrome oxidase subunit I gene (COI) of Lysiphlebus specimens were indel-free. The total alignment of 628-bp long mitochondrial sequences contained 83 variable sites, of which 70 were parsimony informative. The topologies of Maximum Parsimony (MP), Maximum Likelihood (ML) and Neighbour-Joining (NJ) trees were highly congruent. For this reason, only the ML tree is shown in Figure 2, although the bootstrap support obtained by all three methods of phylogenetic analyses is indicated in the figure.
Analyses of mitochondrial sequences supported the separation of the genus into the "fabarum" (clades A, B, C; Figure 2) and the "testaceipes" (clades D, E; Figure 2) species groups, with a mean genetic distance of 7.6% between the groups.
Within the "testaceipes" group, L. orientalis (clade E) and L. testaceipes (clade D) split as separate taxa, with a mean genetic distance of 3.7%. L. testaceipes consisted of two distinct haplotypes with 1% genetic divergence, whereas four haplotypes were recorded in L. orientalis (0.3% mean genetic distance).
Based on the COI gene analysis, the "fabarum" group was composed of 16 distinct haplotypes that are clustered into three well-supported phylogenetic lineages (A, B, C in Figure 2). Overall, the mean genetic distance among specimens within the "fabarum" group was 2.2%.
Most of the haplotypes (12) were grouped into phylogenetic clade A. Within this clade, the tree topology had poor statistical support, and the highest genetic distance between two haplotypes was 1.1% (mean distance was 0.6%). Two haplotypes were found in both asexual and sexual parasitoids (L. fabarum 7 and L. fabarum 8), two were found only in sexual parasitoids, and eight were found only in parasitoids with asexual reproduction (Figure 2, Additional file 1).
Associations of COI haplotypes with the three morphs of L. fabarum were inconsistent. Most haplotypes were associated with one morph, but L. fabarum 1 was associated with the fabarum and cardui morphs, whereas the most common haplotype, L. fabarum 7, was associated with the fabarum and confusus morphs, but also with L. melandriicola.
Clade B was represented only with one haplotype, which is associated with all L. hirticornis specimens. Lysiphlebus hirticornis is clearly separated from clade A with a mean genetic distance of 4.1%.
All cardui morphs with sexual reproduction are grouped in phylogenetic clade C and separated from all other species/morphs. There is a genetic distance of 4.7% between these morphs and the same morphs with an asexual mode of reproduction that are all grouped in clade A. This provides strong evidence that these sexual parasitoids represent a yet undescribed species. The phylogenetic trees showed that the closest relatives of sexual cardui morphs in our material are the specimens belonging to L. hirticornis (2% divergence from L. hirticornis 1 haplotype).
Within the two species groups, the phylogenetic tree based on 28S D2 was poorly resolved due to insufficient sequence variation (average difference within species groups was only 0.1%).

Morphological differences
The five distinct Lysiphlebus phylogenetic lineages based on COI (A, B, C, D, and E; Figure 2) significantly differed in wing size (ANOVA, F 4,187 = 28.54, P < 0.001) and in wing shape (MANOVA, Wilks' Lambda = 0.412, F 80, 645.44 = 2.04, P < 0.001). The comparisons of wing shape expressed as Procrustes distances revealed significant differences in all pairwise comparisons (Table 1, right to the diagonal), whereas differences in wing size were less pronounced ( Table 1, below diagonal).
The principal component analysis ( Figure 3) showed that clades A, B, and C clearly differ from clades D and E along the first principal axis, which describes almost 80% of the total variance in wing shape. The main shape changes that separate the ABC ("fabarum" group) and DE clades ("testaceipes" group) are related to changes in the stigma, the length of the R1 vein (landmarks 5, 11,12) and the width of the wing's distal part. Compared to the "fabarum" group (ABC), "testaceipes" group parasitoids (DE) have a wider distal part of the wing (landmarks 6, 7, 8, 9, 10 and 11), a shorter R1 vein and a wider stigma.
The permutation test against the null hypothesis of no phylogenetic signal revealed no evidence of a phylogenetic signal in wing size (tree length = 0.0231, P = 0.674) but did reveal a significant phylogenetic signal in wing shape (tree length = 0.0094, P = 0.037). The superimposition of the phylogenetic tree in the morphospace of the first two PC axes shows that concordance in divergence between genetic and morphological variation is due to the divergence between the two main clades (Figure 3).
Separate PCAs of wing shape variation within the "fabarum" (ABC) and "testaceipes" (DE) groups reveal that the divergence in wing shape is largely associated with reproductive mode. Within clade A, four subgroups can be distinguished a priori, based on the combination of morph (see Figure 1) and reproductive mode: A1 -L. cardui/asexual, A2 -L. confusus/asexual, A3 -L. fabarum/asexual and A4 -L. fabarum/sexual). Clades B (L. hirticornis/sexual) and C (L. cardui/sexual) are uniform with respect to these criteria.
In the morphospace defined by the first two principal components that describe over 45% of the total variation in wing shape, sexual and asexual lineages within the "fabarum" group clearly separate along the first axis ( Figure 4A). Sexual lineages had longer and narrower forewings; particularly the apical part of the wing (area between stigma and first radial nerve) is narrower in the sexual lineages compared with asexual lineages. The analysis of wing shape variation in the "testaceipes" group (DE) showed that L. orientalis (E) and L. testaceipes (D) are clearly separated in the morphospace defined by the first two principal axes that describe almost 62% of total variance in wing shape. Notably, the differences between the sexual and the asexual wasps parallel those observed in the "fabarum" group. The wings of the asexual species L. orientalis are characterised by a wider distal part and a shorter R1 vein in comparison with the sexual species L. testaceipes ( Figure 4B). Differences in wing size between lineages (absolute values of differences in CS) are given below diagonal. The differences in wing shape expressed by Procrustes distances are given to the right of the diagonal. Results significant at P < 0.05 are shown in boldface type.
Pairwise comparisons within the "fabarum" group revealed that sexual L. fabarum (A4) have significantly smaller wings than all three asexual groups within clade A. Two sexual lineages, L. hirticornis (clade B) and L. cardui (clade C), have smaller wing size compared with all other groups except for sexual L. fabarum (A4) and sexual L. cardui (clade C) ( Table 2). All groups based on morph and/or reproductive mode showed significant divergence in wing shape (Table 2, Figure 5).
The shape changes between pairs of a priori groups are illustrated in Figure 5. As previously described, the sexual and asexual lineages diverge in the shape of the distal part of the wing (described by landmarks 6, 7, 8, 9, 10 and 11), whereas different morphs often diverge in the shape of proximal area of the wing (described by landmarks 1, 2, 3, 4, 5 and 12).
The multivariate regression of wing shape variables on log CS within the "fabarum" group was statistically significant (P < 0.0001): 10.3% of the total variation in wing shape could be explained by allometry. Within the "testaceipes" group, multivariate regression was not statistically significant (P = 0.099). To explore whether the observed shape changes within the "fabarum" group are due to divergence in size between groups and related allometric shape changes, we performed PCA on an allometry-free dataset (residuals obtained from multivariate regression of shape variables an log CS). Analysis of allometry-free shape variables revealed that the sexual and a sexual lineages differ in forewing shape regardless to differences in wing size between lineages ( Figure 6).

Discussion
By analysing the sequences of nuclear and mitochondrial genes we confirmed the existence of two previously acknowledged species groups ("testaceipes" and "fabarum") within the genus Lysiphlebus [14]. In terms of taxonomic characterisation, the barcoding region of the COI gene has proven to be a suitable marker for species identification within the genus Lysiphlebus [15,24,25,29], whereas the more conservative nuclear 28S D2 gene appears to be informative only at the generic or species group level. An unexpected discovery was a distinct group of COI haplotypes (clade C, Figure 2) that comprised all cardui morphs ( Figure 1) with a sexual mode of reproduction. It represents a yet undescribed species that deserves further taxonomic treatment.
Marked divergence in wing shape was found between the "testaceipes" and "fabarum" species groups. However, within these groups, especially within the "fabarum" group, there is no clear correspondence between the variation in wing shape and genetic divergence. Additionally, we did not find any concordance between wing shape and the three described morphs in L. fabarum.
A significant finding in our study is that reproductive mode (namely sexual vs. asexual reproduction) is associated with wing shape. Similar shape changes between the taxa with asexual and sexual modes of reproduction were recorded in the "testaceipes" as well as in the "fabarum" group. The relationship between wing shape and reproductive mode is particularly notable in the "fabarum" species group, in which most of the morphological variation could be related to the differences between the sexual and asexual taxa and morphs.
Taxa with sexual reproduction had smaller wings than the taxa with asexual reproduction, and there were significant, size-related allometric changes in the shape of the wing. However, divergence in the wing shape was not solely the result of allometry, because the sexual and asexual lineages differed in wing shape even when the size effect was removed (allometry-free data).
Sexual reproduction (arrhenotoky) is the ancestral and dominant mode of reproduction in Hymenoptera. Asexual reproduction (thelytokous parthenogenesis) is less frequent and often induced by heritable endosymbiotic bacteria [18,19], but apparently not in Lysiphlebus. Sandrock and Vorburger [30] showed that asexual reproduction in L. fabarum is genetically determined and inherited as a single-locus recessive trait. Asexual reproduction has the potential to spread in parasitoid populations because, very rarely, asexual (thelytokous) females produce fertile haploid males that may carry the thelytoky-inducing allele into sexual populations, a process referred to as 'contagious parthenogenesis' [31]. There are currently no data about the underlying processes of asexual reproduction in L. orientalis, but the simplest assumption would be that they are similar to those in L. fabarum, considering that thelytoky is otherwise very rare in the Aphidiinae and that rare males are also observed in natural and laboratory populations of L. orientalis [14]. In this study, the association of mitochondrial haplotypes with the mode of reproduction in the "fabarum" group was inconsistent, Figure 5 Illustration of wing shape differences between a priori groups of Lysiphlebus parasitoids. The shape changes are shown as the difference between the average shape of the first group (grey dashed lines and grey circles) and the average shape of the second group (black outlines and solid circles). All changes are enlarged 1.5 times. and two haplotypes were shared between the asexual and sexual wasps. These results are in concordance with the statement that the "fabarum" group is an evolutionary young sexual-asexual complex with incomplete genetic isolation between the reproductive modes [24]. The mechanistic basis of the relationship between wing shape and reproductive mode is currently unknown. There is a lack of information on the genetic basis of wing morphogenesis in parasitic wasps, but studies on Drosophila melanogaster show that numerous genes of small effect determine wing shape in flies [32]. Presuming that parasitoid and fly wing morphogenesis is not dramatically different, and considering that reproductive mode in L. fabarum is inherited as a single-locus trait [30], pleiotropy or co-inherence of the thelytokyinducing allele and alleles affecting wing shape in the same linkage group may explain the observed link between reproductive mode and wing shape. This remains to be investigated.

Conclusions
Deep genetic divergence of aphid parasitoids from the genus Lysiphlebus (the "fabarum" vs. "testaceipes" group) is accompanied by changes in wing shape. At a shorter timescale within the two species groups, there is no clear correspondence between morphological evolution and genetic divergence. However, we observed a clear association between reproductive mode and wing shape; in both species groups, similar differences exist between sexual and asexual wasps, explaining much of the variation in wing shape. Further studies are necessary to resolve the mechanisms underlying the apparent relationship between reproductive mode and wing shape in Lysiphlebus wasps.

Field sampling and determination of reproductive modes
Lysiphlebus parasitoids were sampled between 2006 and 2011 in the surroundings of Belgrade, Serbia, except for L. testaceipes, which was collected along the Mediterranean coast of Montenegro. In addition to those specimens, for molecular analyses we used samples from other geographical areas (Additional file 1). Plant samples infested with live and mummified aphids were collected in the field and placed into plastic containers covered with nylon mesh [33]. Aphid hosts were mainly from the genera Aphis and Brachycaudus, except for Metopeurum fuscoviridae Stroyan, which is parasitised by the monophagous parasitoid L. hirticornis (Additional file 1). Caged samples were held at 22.5°C until parasitoid emergence. Four collected species have known modes of reproduction: L. hirticornissexual; L. melandriicolasexual; L. testaceipessexual; and L. orientalisasexual. For the fabarum, cardui and confusus morphs of L. fabarum (see Figure 1), in which sexual and asexual lineages may occur, reproductive modes were mostly inferred from the field sex ratios. The complete absence of males was taken as an indicator of asexual reproduction, whereas samples containing males and females were treated as lineages with a sexual mode of reproduction. This approach is not applicable to samples with only a few individuals who are all female. To determine the reproductive modes of females from small samples (<5 individuals), we genotyped them at microsatellite locus Lysi07 [34], which happens to be linked to reproductive mode in parasitoids of the L. fabarum group [30]. All females that were homozygous for allele 183 at microsatellite locus Lysi07 were treated as asexual, whereas all others were treated as sexual [30]. Figure 6 The position of the individuals of Lysiphlebus "fabarum" species group over the first and second Principal Component (PC) axes after the correction for size. Symbols and colour codes are as indicated in Figure 3. The observed morphological differentiation is summarised by deformation grids.
In this study we analysed the following Lysiphlebus species/morphs: L. fabarumsexual and asexual; L. carduiasexual; L. confususasexual; L. hirticornissexual. We also analysed sexual lineages of L. cf. cardui, which is here recorded for the first time. Sexual specimens of L. melandriicola were used only for molecular analyses due to insufficient number of individuals available for analyses of the wing shape. All of the above belong to the "fabarum" group. From the "testaceipes" group, we used L. testaceipes -sexual and L. orientalisasexual (Additional file 1). Only female specimens were included in all molecular and morphometric analyses.

DNA extraction, PCR amplification and sequencing
To determine the genetic variation and phylogenetic relationships among the Lysiphlebus species/morphs, two molecular markers were chosen. The second expansion segment of the nuclear 28S rRNA gene (28S D2) was amplified using the primer pair 28SD2f (5'-AGAGA GAGTTCAAGAGTACGTG-3') [35] and 28SD2r (5'-TTG GTCCGTGTTTCAAGACGGG-3') [36]. Additionally, the barcoding region of the mitochondrial cytochrome oxidase subunit I gene (COI) was amplified using the primers LCO1490 and HCO2198 [37]. Total nucleic acids were extracted from 89 Lysiphlebus specimens . The PCR protocol included initial denaturation at 95°C for 3 min, 30 cycles consisting of 30 s at 95°C, 30 s at 48°C, 2 min at 72°C, and the final extension at 72°C for 10 min. All COI products were amplified according to the protocol and cycling conditions described by Petrović et al. [15]. The PCR products were checked on 1% agarose gels and purified using the QIAquick PCR Purification Kit (QIAGEN, Valencia, USA) according to the manufacturer's instructions. DNA sequencing was performed by Macrogen Inc. (Seoul, Korea).

Phylogenetic analyses
Sequences of both genes were manually edited in FinchTV v.1.4.0 (Geospiza, Inc., Seattle, USA; http:// www.geospiza.com) and aligned using the ClustalW program implemented in the MEGA 5.1 software package [39]. The same software was used to confirm the continuous open reading frame in the protein-coding COI gene to exclude the possibility of nuclear copies [40,41]. Kimura's two-parameter method (K2P) of base substitution [42] was used to calculate an average genetic distance between the sequences.
Phylogenetic reconstruction was carried out using the methods of Maximum Likelihood (ML), Maximum Parsimony (MP) and Neighbour-Joining (NJ), all computed using the MEGA 5.1 software package. The MP tree was obtained using the Subtree-Pruning-Regrafting (SPR) algorithm [43]. The NJ phylogenetic tree was inferred using the K2P evolutionary distances [42]. For the reconstruction of the ML tree for 28S D2 sequences, we have identified the GTR + G model as the best-fitting model of sequence evolution based on the Bayesian Information Criterion (BIC) and the Akaike Information Criterion corrected (AICc) [43] as implemented in the software Modeltest 3.5 [44]. Based on the same criteria, the HKY + G model was identified as the best-fitting model for ML reconstruction based on the COI sequences. There were a total of 618 positions in the final dataset for 28S D2 sequences and 628 positions for COI sequences in all phylogenetic reconstructions. Sequences of all haplotypes are deposited in GenBank (accession numbers are given in Additional file 1).

Geometric morphometric analyses
The geometric morphometric analyses were carried out on the right forewing. Microscopic slides of the wings were prepared in Berlese medium [45] and photographed using a Leica System Microscope DM2500 with a Leica DFC490 Digital Camera. Twelve landmarks were positioned using the TPSDIG2 software package [46] ( Figure 7). The landmarks 1-5 and 12 define the proximal part of the forewing; the distal part of the wing is defined by the landmarks 6-11. The landmarks 8, 9 and 10 are projections of the three veins on the wing edge. Stigma and radial abscissa 1 (R1) were defined by the landmarks 11 and 12 (12 is the very apex of the stigma, 11 is the end of R1 vein); the landmarks 5 and 6 mark the first sector of the radial vein; and the vein between the landmarks 6 and 7 is defined as 2SR. The terminology used in this paper regarding the forewing venation of the aphidiines follows Sharkey & Wharton [47].
We applied the Generalised Procrustes Analysis (GPA) to obtain the matrix of the shape coordinates (also known as Procrustes coordinates) from which the differences due to position, scale and orientation have been removed [48,49]. The general size was computed as the centroid size (CS), which reflects the amount of dispersion around the centroid of the landmark configuration. The shape variables (Procrustes coordinates) were obtained using the MorphoJ software [50].

Divergence in wing size and shape
The divergence in wing size among a priori-defined groups based on phylogenetic clades, morphs or reproductive mode was analysed with Analyses of Variance (ANOVA). Post-hoc tests (Tukey's Studentised Range) were used to test for differences between specific groups. The divergence of wing shape among groups was analysed with a Multivariate Analysis of Variance (MANOVA) using the PROC GLM procedure in SAS [51]. To visualise the patterns of variation in wing shape, a Principle Components Analysis (PCA) on the covariance matrix of wing shape variables was carried out. We also mapped geometric morphometric data onto the molecular phylogeny and tested for a phylogenetic signal in wing shape. The generalised method of least squares [52,53] was used to find the values for the internal nodes of the phylogeny from the shape averages of the terminal taxa [53][54][55]. The phylogenetic signal in the shape data was tested by a permutation approach using the MorphoJ software [50], which simulated the null hypothesis of a complete absence of phylogenetic structure by randomly reassigning the phenotypic data to the terminal nodes [56].
To quantify the shape differences, Procrustes distances were calculated between each pair of analysed groups. The statistical significance of differences in the mean shape between groups was estimated using a permutation test based on 10,000 iterations. The statistically significant differences after Bonferroni correction are presented.
Differences among the a priori-defined groups (clades, morphs, and reproductive modes) were explored with a Discriminant Function (DF) analysis. We report both original and cross validation percentages to better estimate the uncertainty in assigning individuals to groups based on wing shape [57]. To further explore variation among the sexual and asexual lineages, we performed separate PCA analysis of the covariance matrices of wing shape data for the species groups "fabarum" and "testaceipes". To determine the degree to which wing shape variation was associated with size variation (allometry), we performed a multivariate regression of wing shape variables on log CS. The multivariate regression was performed for the "fabarum" and "testaceipes" species groups separately. To explore allometry-free shape data, we performed PCA of covariance matrices using residuals obtained from multivariate regression as size-free shape variables.
design of the study and specimen collection. All authors participated in the writing of the manuscript. All authors read and approved the final manuscript.