Zoological Journal of the Linnean Society, 2009, 155, 834–844. With 7 figures Variation in elasmoid fish scale patterns is informative with regard to taxon and swimming mode ANA L. IBAÑEZ1,2*, IAN G. COWX2 and PAUL O’HIGGINS3 1 Departamento de Hidrobiología, Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, D.F. 09340 México 2 Hull International Fisheries Institute, Hull HU6 7RX, UK 3 Hull York Medical School. The University of York, Heslington York YO10 5DD, UK Received 9 March 2007; accepted for publication 10 March 2008 Variations in scales from nine regions on the flank of teleost fish were examined from the point of view of functional adaptation and with regard to which scales best differentiate species. Three teleost species were selected; two are from the genus Mugil, M. cephalus and M. curema, which are phylogenetically distant from the third, Dicentrarchus labrax. Scale form was described using seven landmarks, the coordinates of which were subjected to generalized Procrustes analysis followed by principal components analysis. Principal component scores were submitted to cross-validated discriminant analysis to assess the utility of each scale in identifying species. The best discrimination (98%) was obtained with the scale from the central-dorsal area. Scales from the anterior and central zones are relatively wide dorsoventrally and narrow anteroposteriorly. This appears to be related to the profile of the lateral body wall and with subcarangiform swimming. Scales from the posterior region are anteroposteriorly long and dorsoventrally narrow, this shape possibly being related to thrust. Despite the wide phylogenetic separation between mullets and D. labrax, the pattern of scale variation is similar. This may imply strong functional convergence, although studies of sister taxa with different swimming modes are required to confirm this. © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844. ADDITIONAL KEYWORDS: Dicentrarchus labrax – geometric morphometrics – landmarks – Mugil cephalus – Mugil curema – scale morphology. INTRODUCTION Scales from the majority of teleost fishes (a group which includes more than 26 000 species including sea bass and grey mullet) belong to the elasmoid type. Elasmoid scales are thought to be derived from the superficial ‘dental’ tissues that covered the rhombic scales in ancestral osteichthyan fish (Sire & Huysseune, 2003). Thesleff, Vaahtokari & Partanen (1995) supported this view because scales develop close to the epidermal–dermal junction, and show a development sequence similar to that of teeth. Fish scales have been used for various purposes: the most frequent uses being in ageing (Bagenal, 1974), to discern life history characteristics, to study population dynamics; to assess bioaccumulation of pollutants such as heavy metals (Basu et al., 2006; *Corresponding author. E-mail: [email protected] 834 Lake et al., 2006); to determine diet based on their presence in stomach contents or faecal wastes (Mauchline & Gordon, 1984); to interpret past biodiversity (Shackleton, 1987; McDowall & Lee, 2005); in comparative and phylogenetic studies (Lippitsch, 1992; Roberts, 1993); to isolate DNA (Yue & Orban, 2001); and to assess developmental and evolutionary origins (Reif, 1980; Hutchinson, Carvalho & Rogers, 2001; Sire & Akimenko, 2004). One other application that has received little attention is the use of fish scale shape to identify stock membership using Fourier analysis (Poulet et al., 2005) or more recently, geometric morphometrics (Ibañez, Cowx & O’Higgins, 2007). The latter study demonstrated the effectiveness of elasmoid scale shape to discriminate different species and populations of mullet (Family Mugilidae) based on a single scale taken from the shoulder region of each fish, the position on the fish’s body from which scales are © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 VARIATIONS IN ELASMOID FISH SCALE FORM typically taken for ageing studies. No account was taken of possible changes in scale shape over the body of the fish and how this could be relevant in group identification or of how scale variation might relate to swimming mode and possibly hydrodynamic function. This latter factor is of interest because several studies noted the significance of microstructure and hydrodynamic properties of fish scale profiles (Burdak, 1957, 1986; Sudo et al., 2002; Ikoma et al., 2003). Burdak (1986) studied the ontogeny of cteni (spine-like ornamentations), the squamation pattern of Mugil saliens (Risso), and the overlapping of scales of different Cyprinidae species and suggested the degree of scale overlap (more imbricate pattern) provides protection against collision in nectonic species. In the present study we extended the work of Ibañez et al. (2007) to examine how scales from nine regions, spanning the craniocaudal and dorsoventral axes, of the lateral body wall, vary in form. We assessed patterns of scale variation among three fish species to determine, by anatomical region, which are the best scales to differentiate the species. Additionally, we related the observed patterns of among species variation in the shapes of scales from nine regions of the body to evolutionary history and swimming mode to assess the potential of this approach in the wider context of studies of function. The species chosen for this study were the congeneric Mugilidae Mugil cephalus (Linnaeus, 1758) and Mugil curema (Valenciennes, 1836) and the European sea bass Dicentrarchus labrax (Linnaeus, 1758) (Pisces: Moronidae). Mugil cephalus and M. curema are useful model species because they are morphologically similar but exhibit remarkable genetic divergence compared with other members of the family (Caldara et al., 1996). Comparison of the two muglids with a distantly related taxon (Dicentrarchus) provides an interesting, although of necessity incomplete, view of intra- and intertaxon differences. Nelson (2006) considered sea bass to belong to the Serie Percomorpha (fishes with fin spines, protractile maxilla, and pelvic fin position thoracic or jugular) while mullets belong to the closely related Atherinomorpha, although this is open to conjecture because Johnson & Patterson (1993) and Chen, Bonillo & Lecointre (2003) considered mullets and sea bass as distantly related members of the Percomorpha. The three species have ctenoid scales, allowing us to evaluate the extent to which phylogeny and function impact on scale form. MATERIAL AND METHODS FISH SCALE COLLECTION Specimens of Mugil cephalus (30) and M. curema (nine) were collected from Mexico City central fish 835 market and Dicentrarchus labrax (15) from a local fish market in Hull, UK (possibly sourced from a fish farm). All were adult specimens with average furcal lengths of 29.65 ± 1.31, 31.83 ± 2.13 and 31.95 ± 1.18 cm for M. cephalus, M. curema, and D. labrax, respectively. Specimens were transported fresh to the laboratory where scales were removed for examination. This was achieved by dividing the lefthand side of the fish into zones along the longitudinal and transverse axes of the body. Longitudinally the zones were: zone A (anterior), zone C (central), and zone P (posterior). Transversally the fish body was divided into three zones: zone 2 was limited at the lateral line level, zones 1 and 3 were above and below this strip, respectively. Consequently, the flank of the fish was divided into nine areas (Fig. 1). In this study, the term ‘area’ refers to the nine sections of the side of the body while ‘zone’ means longitudinal and transversal sections (A, C, and P; 1, 2, and 3, respectively). One scale was removed from each area of each specimen for examination and any regenerated scales were discarded. Therefore, the sample comprised: 270 scales from M. cephalus (30 fish ¥ nine scales), 81 M. curema scales (nine fish ¥ nine scales) and 135 D. labrax scales (15 fish ¥ nine scales); 486 scales in total. The scales were cleaned using soft soap and tap water, dried with blotting paper and a digital image was taken of each scale from the flat screen of a microfiche projector. Seven landmarks per scale were taken using TPSdig software (Rohlf, 2006) following the protocol of Ibañez et al. (2007). The landmarks were located on key features of the ctenoid scale that are common to all scales of the species under study. This ensures that in subsequent interpretation of results, variations in particular landmarks can be related to shared features of form. The following landmarks were considered appropriate (Fig. 2): landmarks 1 and 3 are the ventro- and dorsolateral tips of the anterior portion of the scale; landmark 2 is in the centre of the anterior edge of the scale, landmarks 4 and 6 are at the boundary between the anterior portion with circuli and the posterior area covered by cteni; landmark 5 is the focus of the scale; and landmark 7 is positioned at the tip of the posterior portion of the scale. MORPHOMETRICS The configurations of landmark coordinates for the 486 sampled scales were scaled, translated and rotated using generalized Procrustes analysis (GPA). They were then submitted to tangent projection (Dryden & Mardia, 1993) and subsequently to principal components analysis (PCA; Dryden & Mardia, 1993; Kent, 1994). The principal component (PC) © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 836 A. L. IBAÑEZ ET AL. A C P 1 A1 C1 2 3 A2 C2 A3 C3 P1 P2 P3 Figure 1. Sampling areas on the flank of fish. Longitudinally the zones were: zone A (anterior) from behind the operculum to the middle of the first dorsal fin (around the fourth spine for Dicentrarchus labrax and the second in Mugil species); zone C (central) was from the middle of the first fin and the tip of the second fin; zone P (posterior) was between the tip of the second dorsal fin and the beginning of the caudal fin, equivalent to the caudal peduncle. Transversely the fish body was divided into three zones: zone 2 was limited at the lateral line level, zones 1 and 3 were above and below this strip, respectively. Consequently, the flank of the fish was divided into nine areas: A1, A2, A3, C1, C2, C3, P1, P2, and P3. Figure 2. Landmark definitions. scores were labelled by longitudinal zone (A to P) and then by transversal zone (1 to 3) to describe the distribution of the scales along the body and also by species. The extremes of each PC were then used to reconstruct the expected shapes of landmark configurations with those particular scores by adding to the mean tangent coordinates the products of these PC scores and the eigenvectors for those PCs before projecting back from the tangent to the configuration space (O’Higgins, Chadfield & Jones, 2001). The differences in shape between the mean and the shapes represented by the extremes of PCs of interest were visualized using transformation grids (Bookstein, 1989; Marcus et al., 1996; Dryden & Mardia, 1998) computed with MORPHOLOGIKA2 (O’Higgins & Jones, 2006). To examine the potential for differences in shape in classifying unknown specimens, the scores of specimens on all nonzero PCs were submitted to discriminant analysis (SPSS ver. 13.0) to compute generalized Mahalanobis’ distances, discriminant functions, and to assess the efficacy of the latter in classification. This was carried out using cross-validation, in which multiple repeated analyses were carried out leaving out one individual in the construction of the discriminant function before classifying this individual according to the function. This reduces the likelihood of overestimating the efficacy of discriminant functions by using them to classify specimens employed in their construction. Percentage correct classification rates were recorded. With regard to form (size plus shape), ln centroid size (the square root of the sum of squared distances between each landmark and the centroid of the landmark configuration) was added as a column of the data matrix (of registered coordinates) (Mitteroecker, Gunz & Bookstein, 2005) and the GPA/PCA and discriminant analysis analyses were repeated. The configurations of landmark coordinates for each area by species were scaled, translated, and rotated using GPA to obtain the consensus configuration (a single set of landmarks which represents the central tendency of an observed sample; i.e. each area of each species). The nine consensus configurations for each species were then jointly subjected to GPA/ PCA to examine the pattern of shape variation among areas within each species. Thereafter, the morphological distance matrix of Procrustes chord distances (the square root of the sum of squared differences between the positions of the landmarks in two optimally superimposed configurations at centroid size) among consensus configurations by area was computed. Finally, the correlation among the three matrices (one © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 VARIATIONS IN ELASMOID FISH SCALE FORM 837 RESULTS per species) was assessed by the Mantel test (using zt software; Bonnet & Van de Peer, 2002), in which the null hypothesis is that distances between scales from different areas in one matrix are independent of the distances between equivalent scales in the other matrix. GPA/PCA resulted in a set of PCs that describe the patterns of shape variability among scales. In particular, we were concerned to know the extent to which scale shape variability relates to species and 0.12 A 0.08 0.04 -0.40 -0.32 -0.24 -0.16 -0.08 0.08 0.16 0.24 -0.04 Zone A Zone C Zone P -0.08 -0.12 0.12 B 0.08 0.04 -0.40 -0.32 -0.24 -0.16 -0.08 0.08 0.16 0.24 -0.04 Zone 1 Zone 2 Zone 3 -0.08 -0.12 Figure 3. First two principal components of scale shape. A, labelled by longitudinal zones. B, labelled by transverse zones. 0.12 0.08 0.04 -0.40 -0.32 -0.24 -0.16 -0.08 0.08 0.16 0.24 -0.04 -0.08 -0.12 M. cephalus M. curema D. labrax Figure 4. First two principal components (PCs) of shape labelled by species. Thin plate spline transformation grids for the extreme points of each PC are shown; these are superimposed on the shapes predicted when the average landmark configuration of all specimens is deformed into that of a hypothetical specimen positioned at the extreme of the PC of interest. © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 838 A. L. IBAÑEZ ET AL. anatomical location. This was assessed directly by discriminant analysis (see below) but was explored initially by examination of PC plots to see if there was any evidence of clustering by species or area. The first PC explained 69.6 % of the total variance while the second accounted for 7.9 % for the GPA/PCA analysis of the 486 scales examined. Two major groups are visible in the PCA plot (Fig. 3A). Scales from zones A and C are similar and grouped towards the right (more +ve) extreme of PC1, whereas scales from zone P are more to the left (more -ve). Scales from zones 1 and 3 are relatively close to each other and generally have smaller or more negative scores on the plot of PCs 1 and 2, Figure 3B, whereas zone 2 scales tend to have larger or more positive scores. The distributions in both plots show a continuum of shape variation, but with scales from area P, and especially P3, being most differentiated in shape. Species are also to some extent distinguished in this PC 1 vs. 2 plot (Fig. 4) with D. labrax having the most Table 1. Percentage of scales from each zone correctly classified (cross-validated and using shape principal components scores alone) with pooled species. Wilk’s lambda values in parentheses, all P < 0.001 Zones A C P Average ± STD 1 2 3 Average ± SD 92.6 (0.046) 94.4 (0.023) 83.3 (0.078) 90.10 ± 5.96 98.1 (0.035) 92.6 (0.029) 88.9 (0.060) 93.20 ± 4.63 81.5 (0.085) 94.4 (0.031) 92.6 (0.050) 89.50 ± 6.99 90.73 ± 8.46 93.80 ± 1.04 88.27 ± 4.68 Table 2. Classification results†‡ for the discriminant analysis (original) and the cross-validation testing procedure (cross-validated) for the three species of the scales from area C1 Predicted group membership Original Count % Cross-validated* Count % Species M. cephalus M. curema D. labrax Total M. cephalus M. curema D. labrax M. cephalus M. curema D. labrax 30 0 0 100.0 0 0 0 9 0 0 100.0 0 0 0 15 0 0 100.0 30 9 15 100.0 100.0 100.0 M. cephalus M. curema D. labrax M. cephalus M. curema D. labrax 30 1 0 100.0 11.1 0 0 8 0 0 88.9 0 0 0 15 0 0 100.0 30 9 15 100.0 100.0 100.0 *In cross validation, each case is classified by the functions derived from all cases other than that case. M., Mugil; D., Dicentrarchus. †100.0% of original grouped cases correctly classified. ‡98.1% of cross-validated grouped cases correctly classified. Table 3. Percentage of scales from each zone correctly classified (cross-validated and using principal components scores plus ln centroid size) with pooled species. Wilk’s lambda values in parentheses, all P < 0.001 Zones A C P Average ± STD 1 2 3 Average ± STD 100 (0.004) 98.1 (0.005) 100 (0.008) 99.37 ± 1.10 100 (0.005) 100 (0.007) 98.1 (0.007) 99.37 ± 1.10 94.4 (0.020) 100 (0.005) 92.6 (0.015) 95.67 ± 3.86 98.13 ± 3.23 99.37 ± 1.10 96.90 ± 3.84 © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 VARIATIONS IN ELASMOID FISH SCALE FORM A) M. cephalus P1 A2 1 C1 PC2 (21.39%) P3 C3 -1 A1 C2 1 2 1 2 P2 -1 A3 PC1 (66.24%) B) M. curema C3 A1 1 PC2 (13.56%) P2 P1 -1 A2 C1 P3 A3 -1 C2 PC1 (72.95%) C) D. labrax C1 A2 P3 1 PC2 (21.57%) positive, M. curema intermediate, and M. cephalus the most negative PC2 scores. The Mugil species, M. cephalus and M. curema, show more overlap with each other on PC2 than either does with D. labrax. The general pattern of morphological differences described by these first two PCs was explored using transformation grids (Fig. 4). The left-most grid represents the mean shape warped to a PC1 score of -0.40 (scales from the caudal peduncle) with the right-most representing a PC1 score of 0.24 (scales from central and anterior zones). Caudal peduncle scales were characterized by a relatively shorter distance between the focus and landmark 7 with a concave, anterior edge, whereas this distance for anterior and central scales was relatively larger with the focus more central and the anterior edge convex. The scales from the anterior and central area were relatively wide and short. The relative elongation of P zone scales reflects a larger area of insertion into the epidermis. Multivariate regressions of all PCs onto zone or area confirmed these general trends. Variation among species is represented by PC2, on which D. labrax had more positive scores than Mugil, was visualized by transformation grids computed from the mean with PC2 scores of 0.12 (upper grid) and -0.12 (Fig. 4). PC2 (7.9% total variance) represented a lesser proportion of overall shape variation than PC1 (69.6% total variance). The key difference between these grids was in the relative location of focus, which was relatively more posterior in D. labrax. Further, the anterior edge was convex in D. labrax but concave in Mugil species. The cross-validated discriminant analysis using shape variables (PC scores) from all 486 scales correctly classified 84.8 % by species, whereas the proportion of scales from each zone correctly classified (cross-validated and with pooled species) varied between 81.5 and 98.1% (Table 1). The lowest classification rate, 81.5 %, was obtained using scales from area P1, whilst area C1 was best with 98.1% crossvalidated correct classification. The highest correct classification rates, and smallest standard deviations, were found for zones C and 2, whereas the weakest discrimination was for scales from the ventral area. Most misclassifications occurred between the two Mugil species. All scales from area C1 of the original grouped cases were correctly classified without cross-validation (Table 2); but the cross-validated analysis misclassified one scale from M. curema to M. cephalus (Wilk’s lambda = 0.035, P < 0.001). Classification results improved when size information was included in the discriminant analysis, except for area P3 where the cross-validated classification rate remained the same (Table 3). Higher classification values and smaller standard deviations were found for zones A, C, and 2. 839 C2 -1 1 A3 P2 A1 2 P1 -1 C3 PC1 (52.93%) PC1 (52.93%) Figure 5. Principal components analysis (PC1 and PC2) of mean scale shapes in each area: A1, A2, A3, C1, C2, C3, P1, P2, P3 as defined in Fig. 1. A, Mugil cephalus; B, Mugil curema; C, Dicentrarchus labrax. A second set of analyses examined the patterns of variation of scale shape among anatomical regions within each species and then compared these patterns among species. GPA/PCA carried out using species mean shapes for each area resulted in the plots of PC1 vs. 2 (Fig. 5A–C). The first PC explained 66, 73, and 53%, of the total variance, whereas the second © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 840 A. L. IBAÑEZ ET AL. Table 4. Procrustes distances between scales from each of the nine areas in each species A) Mugil cephalus A1 A2 A3 C1 C2 C3 P1 P2 P3 A1 A2 A3 C1 C2 C3 P1 P2 P3 0 0.065 0.115 0.053 0.065 0.134 0.139 0.073 0.304 0 0.137 0.083 0.026 0.158 0.179 0.118 0.347 0 0.070 0.120 0.028 0.074 0.070 0.219 0 0.068 0.089 0.100 0.044 0.269 0 0.141 0.164 0.105 0.333 0 0.061 0.080 0.199 0 0.080 0.177 0 0.239 0 A1 A2 A3 C1 C2 C3 P1 P2 P3 0 0.090 0.036 0.024 0.093 0.061 0.111 0.091 0.254 0 0.103 0.077 0.049 0.132 0.185 0.154 0.331 0 0.037 0.102 0.047 0.101 0.074 0.240 0 0.078 0.065 0.115 0.089 0.261 0 0.133 0.169 0.135 0.322 0 0.075 0.073 0.203 0 0.064 0.159 0 0.204 0 A1 A2 A3 C1 C2 C3 P1 P2 P3 0 0.088 0.101 0.066 0.074 0.137 0.154 0.140 0.260 0 0.068 0.096 0.030 0.118 0.160 0.120 0.229 0 0.069 0.075 0.094 0.129 0.109 0.196 0 0.089 0.103 0.117 0.121 0.220 0 0.127 0.166 0.123 0.242 0 0.059 0.052 0.128 0 0.091 0.130 0 0.139 0 B) Mugil curema A1 A2 A3 C1 C2 C3 P1 P2 P3 C) Dicentrarchus labrax A1 A2 A3 C1 C2 C3 P1 P2 P3 accounted for 21, 14, and 22% for M. cephalus, M. curema, and D. labrax, respectively. There was a weak trend apparent in PC1 of each analysis, such that more posterior scales had higher PC1 scores than anterior. As plots of pairs of PCs presented a relatively incomplete picture of the overall patterns of variation, Procrustes distances were also computed among scales from each of the nine areas in each species. These are shown in Table 4. As assessed by matrix correlations and Mantel tests, the patterns of variation of shape among anatomical regions were highly significantly correlated among species (Table 5). The matrices 4A and 4B from the Mugil species were more similar to each other than either was to D. labrax. In general, distances between scales from anterior and Table 5. Matrix correlations between the Procrustes distance matrices of Table 4. Simple Mantel test, P value in parentheses (precision a = 0.01) M. curema D. labrax M. cephalus M. curema 0.938 (P = 0.0002) 0.866 (P = 0.0004) 0.868 (P = 0.0004) M., Mugil; D., Dicentrarchus. central zones were smaller than those between posterior and other zones. Area C3 was also relatively distinctive. Therefore, there is strong evidence that the patterns of scale shape variation are very similar © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 VARIATIONS IN ELASMOID FISH SCALE FORM among species, with only marginally greater similarity between the species of Mugil than between these and Dicentrarchus. This is consistent with the observation of clustering of scales by anatomical region, irrespective of species, in Figure 3. DISCUSSION This study examined which anatomical region possesses scales that best discriminate among species, thus extending an earlier study (Ibañez et al., 2007). Further, the mean pattern of scale shape variation over the body was compared among species to assess potential phylogenetic and functional influences. DISCRIMINATION BETWEEN SPECIES In the present study, species were successfully identified by discriminant analyses. In part, these A Anterior 1 Low curvature C Central 841 differences in scale shape among species might be linked to functional species-specific habits as well as to phylogenetic relationships. These sources of variation are discussed later. Size information was also important in the discriminant analysis results; four areas attained 100% correct classification and results improved in other areas, with the exception of P3, when centroid size was factored into the model. Even when the specimens of the three species were of similar length, differences in centroid size of the scales were found amongst them, with the exception of those from area P3. Thus, when using this approach to discriminate between species and populations, it is important that centroid size is factored into the procedure and taking scales from area P3 (posterior lower ventral) is avoided. The preference would be to take scales from areas C1 and C2. P Posterior more curved extremes a’ b’ a b 2 c d c’ Angles increase from center to extremes d’ 3 Average scales shape Figure 6. Scaled body section of slices (in grey) in the different longitudinal (A, C, and P) and transversal zones (1, 2, and 3). Angles increase from the central areas to the extremes. The lower insets show the transformations between the overall scale consensus shape (reference) and the shapes represented by the extremes of principal component 1 (PC1) (targets; leftmost = -ve PC1 scores; rightmost = +ve PC1 scores; see Fig. 4), which broadly reflect anterior–posterior variation in scale shape. © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 842 A. L. IBAÑEZ ET AL. A bird’s-eye view of subcarangiform gait, the fish is moving its tail from side to side Water drag with caudal thrust (in black) Figure 7. Specific swimming modes identified within body/caudal fin propulsion, based on the extended classification scheme (Lindsey, 1978) proposed by Breder (1926). Reprinted from Lindsey CC. Form, function and locomotory habits in Fish. Pages. 9 & 10, Figs 1 and 2. In: Hoar D, Randall DJ, eds. Fish Physiology. Vol. VII New York: Academic Press, Copyright (1978), with permission from Elsevier. PATTERNS OF SCALE SHAPE VARIATION OVER THE BODY Although scales from all areas of the body performed well in discriminating the three species, variability in the shapes of scales was found among them. Scales from zones A and C are similar shapes but differ from zone P scales; zones 3 and 1 scales also exhibit some differences in shape, but these are less pronounced. Areas with greater shape variability appear to be less effective in discrimination. Shape variations along the longitudinal and transversal axes of the body seem to be related to the curvature of the fish (Fig. 6). In the posterior region of the fish (zone P), body surface area decreases substantially and curvature increases. The scale rows fit into a smaller surface area, this being accomplished by reducing the size of the scales and changing their shape. They become compressed along the dorsoventral axis (equivalent to elongation along the anterior–posterior axis), thus allowing more space for adjacent rows of scales. Fish scales also need to be tailored to aid locomotion and reduce drag during swimming. Figure 7 depicts the specific swimming modes identified within body/caudal fin propulsion (BCF, after Blake, 2004), based on the extended classification scheme proposed by Breder (1926). According to Lindsey (1978), Mugil species and fish from the Family Serranidae (Serranidae split into: Serranidae and Moronidae; the latter being where D. labrax actually belongs) show subcarangiform locomotion, where the lateral flexures of the body muscles propel fish forwards. The more undulatory waves a fish can exert against the surrounding water, and the faster and more exaggerated the waves are, the more power the fish can generate (Moyle & Cech, 2004). The pattern of scale shape variation along the body may also be functionally related to swimming mode. The anterior and central area scales are relatively wide in the dorsoventral direction and short in anterior–posterior, which could facilitate the side-toside undulations of subcarangiform swimming. Conversely, scales from the posterior region are relatively long anteroposteriorly, with the focus relatively more central and with a larger area of insertion into the epidermis to resist vortex, thrust, and water pressure produced by caudal fin propulsion. In addition, scales from the anterior, central, and posterior region exhibit differences in arc angles and, as with different kinds of architectural arches, may be adapted to different loadings (Leontovich, 1959). The latter differences affect resistance to drag during swimming mode. A further factor that may underlie the observed pattern of scale shape variation over the body relates to their development, the process of squamation. According to Sire & Akimenko (2004), the first scales to appear in most bony fish taxa are those of the midline row at the level of the caudal peduncle, this is followed by a rapid extension of squamation anteriorly and posteriorly along this row, while new rows © 2009 The Linnean Society of London, Zoological Journal of the Linnean Society, 2009, 155, 834–844 VARIATIONS IN ELASMOID FISH SCALE FORM are added dorsally and ventrally. To explain this squamation pattern, Sire & Arnulf (1991) suggested that the tension transmitted to the skin during swimming could induce scale development in this region as a means of resisting excessive bending. Fish scale shape may be adapted to cover the different surfaces of the body, but also to allow fish undulations in the anterior and central areas and to resist the strains and water drag within the peduncle caudally. The similarity in patterns of scale shape variation over the body among the Mugil species and D. labrax is striking considering the marked differences in their gross morphological body features and phylogenetic relationships. Whatever classification is used (Johnson & Patterson, 1993; Pickett & Pawson, 1994; Miya, Kawaguchi & Nishida, 2001; Chen et al., 2003 or Nelson, 2006), all agree on the large evolutionary distance between the Mugiliformes and Perciformes. As patterns of scale shape variation do not differ greatly between the Mugil species and D. labrax, and given the phylogenetic distance between these two genera, these patterns may be informative with respect to swimming mode; alternatively, they may be plesiomorphic. Studies of additional taxa are required to resolve this question. In conclusion, geometric morphometric methods applied to fish scales can provide a useful tool to discriminate among closely related species that are otherwise difficult to distinguish. 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