Introduction

The development and maintenance of most sexually selected ornamental traits are believed to involve significant costs (Zahavi 1975; Andersson 1994; Tomkins et al. 2004), and thus they may be otherwise opposed by natural selection (e.g., Stuart-Fox and Ord 2004; Hamon and Foote 2005). As a consequence, only the most vigorous individuals should be capable of allocating a significant proportion of their resources into elaborated ornaments without suffering a reduction in viability. This prediction is, in particular, a key premise for the genetic theories of inter-sexual selection. Costly secondary sexual traits provide a reliable indication of an individual’s heritable quality and are therefore used by the opposite sex (mostly females) to assess potential mates (Cotton et al. 2004; Neff and Pitcher 2005).

In a variety of animal species, both males and females are ornamented (Kraaijeveld et al. 2007), but most studies of sexual selection have, however, focused on ornamental traits in only one sex (males). As a consequence, examples of selection acting on such traits in different sexes remain rare. Furthermore, the expression of ornamental traits may not necessarily reflect specific superior alleles (i.e., traditional ‘good genes’; Kokko et al. 2003; Hunt et al. 2004), but it can as well be correlated with the general allelic diversity and/or inbreeding level (i.e., a ‘good-genes-as-heterozygosity’ hypothesis by Brown 1997; see also Aparicio et al. 2001; van Oosterhout et al. 2003; Reid et al. 2005), suggesting a possible means by which a directional mating preference could also be targeted at relatively heterozygous or outbred individuals (Kempenaers 2007; Fromhage et al. 2009).

Carotenoid-based yellow–red colours are among the most conspicuous visual signals used by animals to attract mates, and they are often considered costly condition-dependent indicators of an individual quality (Møller et al. 2000). Carotenoids also have important nutritional, antioxidant and immunostimulant properties in the body (Olson and Owens 1998; Blount et al. 2003; McGraw 2005), and hence, by using these pigments for ornamental purposes, an individual may reveal its superior health status (e.g., McGraw and Ardia 2003; Mougeot et al. 2007; Baeta et al. 2008; see also Pike et al. 2007). In the three-spined stickleback (Gasterosteus aculeatus L.), for example, females prefer to mate with colourful males (Milinski and Bakker 1990; Bakker and Mundwiler 1994), presumably because the red coloration signals their good physical condition (Milinski and Bakker 1990; Barber et al. 2000), high heritable resistance against parasitic infections (Folstad et al. 1994; Barber et al. 2001) and high antioxidant defence (Pike et al. 2007). The studies on two other fish species, the European minnow (Phoxinus phoxinus L.) (Müller and Ward 1995) and guppy (Poecilia reticulata Peters) (van Oosterhout et al. 2003), on the other hand, have shown that male carotenoid-based breeding display can also provide information about differences between individuals in their genetic diversity (or inbreeding levels). Thus, it is possible that the bright carotenoid coloration would signal individual heritable quality, either directly (e.g., additive genetic breeding value for fitness; Hunt et al. 2004) or indirectly through associations between heterozygosity and other fitness parameters such as disease resistance (e.g., Reid et al. 2005; Rosen and Tarvin 2006).

In females, by contrast, the informative content and evolution of carotenoid-based ornaments may be even more problematic as they must not only allocate carotenoids to their own somatic maintenance, and possibly sexual signals, but often also to their offspring (through the eggs) (Fitzpatrick et al. 1995; Blount et al. 2000; Blount 2004). This is because the developing embryos are particularly dependent on maternally derived antioxidants due to their rapid metabolism incurring high rates of free radical production. In sockeye salmon (Oncorhynchus nerka Walbaum), for example, up to 85% of the total body carotenoids may be present in ripening eggs (Crozier 1970). Egg carotenoids are known to reduce the susceptibility of embryonic tissues to oxidative stress (Blount et al. 2000), and their positive effects on fertilization rates, early survival and early growth rates have been documented in fishes (Torrissen 1984; Salze et al. 2005; Ahmadi et al. 2006; Sawanboonchun et al. 2008; Tyndale et al. 2008) as well as in a wide range of other taxa (e.g., George et al. 2001; McGraw et al. 2005a). Consequently, there might be strong selection pressure on females to invest large amounts of these valuable resources to eggs, instead of ‘wasting’ them on ornaments and the question has been asked whether female colour may have evolved solely as a non-adaptive, correlated trait resulting from female selection for male colour in species expressing sexual coloration in both sexes (i.e., the genetic correlation hypothesis; Lande 1980; Amundsen 2000). Carotenoid-based ornaments could thus be regarded, at least in some systems, as examples of traits that are subject to sexual conflict, i.e., are favoured in males but selected against in females (Wedell et al. 2006; but see MacDougall and Montgomerie 2003; Gladbach et al. 2010).

The Arctic charr (Salvelinus alpinus L.) is a fish species exhibiting a carotenoid-based abdominal ornamentation that is correlated with parasite intensities and immune activity (Skarstein and Folstad 1996; Skarstein et al. 2005). The breeding coloration is clearly a sexually dichromatic trait, males being redder than females (Skarstein and Folstad 1996). The expression of redness can, however, considerably vary among reproductively active fish within both sexes (Skarstein et al. 2005; Nordeide et al. 2008), though the role of these colours in signalling and mating has yet remained unclear. Nonetheless, because the mating system of Arctic charr is clearly non-resource-based, i.e., neither sex provides parental care after spawning (Sigurjónsdóttir and Gunnarson 1989), mate choice is likely to be based, in addition to potential direct benefits from gamete quality and quantity (see Måsvær et al. 2004; Janhunen et al. 2009), on indirect genetic benefits. In their recent laboratory experiment, Eilertsen et al. (2009) found a positive relationship between male redness and offspring’s endogenous growth rate, though the effect appeared only among the smaller-sized sires. However, this finding suggests that at least the paternal red coloration may indeed be linked to some beneficial genetic effects also in Arctic charr.

In the present study, we used a Finnish population of Arctic charr as a model to investigate whether the breeding coloration in either sex would reflect the degree of individual genetic diversity. In addition, we established maternal half-sib families by artificially crossing (in vitro) females with two males that had developed a breeding coloration of different degree in the same rearing environment. By experimentally controlling for the confounding maternal and environmental effects (Sheldon 2000), it was possible to test whether differently coloured males differ in their genetic quality, determined as their offspring’s early survival and growth performance. On the other hand, because maternal effects are known to be pronounced in early developmental phases of fish (see Kamler 2008 and references therein), and because charr females might be constrained to trade-off carotenoids between investment in ornamentation and investment in eggs (Nordeide et al. 2006, 2008), we also examined whether there are any correlative evidence that the variation in sexual coloration among females (dams) would be related to their reproductive potential.

Materials and Methods

Sampling of Parental Fish

We started the experiment in November 2002 at the Saimaa Fisheries Research and Aquaculture station, in eastern Finland. Reproductively active Arctic charr (n  = 30 and n  = 60) from a cultivated brood stock of Lake Saimaa (Kuolimo region; 61°14′N, 27°36′E) were used as parental fish for the study (year-classes 1996–1999; second hatchery generation). The fish were anaesthetized with buffered MS-222 (tricaine methane sulphonate), and measured for their total length (L T to the nearest mm), body mass (to the nearest g), and abdominal coloration (Table 1). In addition, we took a fin sample from each individual for later microsatellite DNA analyses. These samples were stored in 99.5% pure ethanol until extraction.

Table 1 The genetic and phenotypic parameters (mean ± SE) measured from the parental fish

The males were sampled on the basis of their redness (see the procedure below), that is, thirty bright-coloured and thirty pale-coloured individuals were selected. After the measurements, we stripped the fish of gonadal products with light hand pressure along their abdomens. Special care was taken to keep the gametes uncontaminated by water and urea. Assuming the amount of residual eggs in the body cavity to be small and approximately equal for each female, we also weighed the stripped egg batches without ovarian fluid in order to determine the female-specific fecundities, or gonadosomatic indices [GSI% = (gonad weight/total body weight) × 100]. Eggs were stored with ovarian fluid in open plastic containers and milts were stored in oxygenated plastic bags on ice at <5°C awaiting further handling.

Quantifying Breeding Coloration

The bright and pale males were initially ranked so that the difference in their red spawning coloration was evident to bare eye. Since ocular inspection gives, however, a very subjective estimate of the degree of ornamentation, we also quantified the skin colour of each fish with a hand-held Minolta CR-10 colorimeter (Konica Minolta Sensing Americas Inc. NJ, USA) in the CIE 1976 L*a*b* colour system mode (Commission Internationale de l’Eclairage, CIE 1986). The three continuous parameters describe lightness (L*), redness (+a*) and yellowness (+b*). Colour readings were performed five times on the left flank at a standard position: the abdominal region between pectoral and pelvic fins. The five consecutive measurements were then averaged to provide an individual colour assessment for each fish. A calculatory definition of colour chroma (saturation) was given as: C* =  (a*2 + b*2)0.5. Chroma was highly correlated with both a* and b* (Spearman’s rank correlation, both r s > 0.97, P < 0.001, n = 90), and thus its value can be expected to represent well the amount of carotenoid-based pigmentation (astaxanthin) in Arctic charr skin (Hatlen et al. 1998; see also Scalia et al. 1989). The males assigned to the bright and pale groups differed highly significantly in their C*-values (t = 15.66, P < 0.001, n = 60; Table 1), but not in their total lengths or mass (t = −0.060, P = 0.953 and t = 0.231, P = 0.818, respectively; n = 60). There was neither a significant relationship between the C*-value and total length or mass among the sampled females (Pearson’s correlation: r = 0.162, P = 0.391 and r = 0.158, P = 0.404, respectively; n = 30).

Fertilizations and Incubation Procedure

All fertilizations were done within 24 h after the gametes were collected. Before the fertilizations, the functionality (i.e., full motility) of sperm was verified for each male using a microscope. We divided the egg batches of each female into two approximately equally sized portions. One portion was then fertilized with milt of a bright male of a father pair and the other half was fertilized with milt from a pale male, resulting in total of 60 families (or 30 maternal half-sibships). Excess quantities of milt were used in order to ensure maximal fertilization rates. Different males were used for each female. Crossing pairs were randomly formed, though with following preconditions: both males fertilizing the eggs of a given female were from the same age-class and rearing tank, and they were approximately size-matched. In order to avoid matings between siblings, the females were always chosen from different cohort than their mates.

After fertilisation, the swollen eggs from each full-sib family were divided into four batches of 100 eggs. Each batch was put into individual floating cylindrical containers (depth 20 cm, ø 10 cm) with plastic grid bottom (mesh size c. 2 mm). The containers were introduced into four round hatchery tanks (ø 1.5 m) with a flow-through water supply with one container of each family being placed in each of the four tanks, resulting in 60 containers per tank. Rearing temperature followed that of the ambient waterway throughout the study period. The number of non-fertilized eggs (i.e., those turning partly or totally opaque) was estimated for each incubation unit 1 day after the fertilizations (grand mean across all families = 1.4 ± 0.3 (SE) %). Thereafter, dead eggs were regularly counted and removed from the incubators to minimize the risk of fungal and bacterial infections.

Progeny Parameters

Embryonic survival was determined in late March 2003, when all eggs in each container had developed visible eyespots. The eggs were given a mechanical treatment by pouring them out from incubators into a plastic cup, after which the eggs that contained aborted embryos turned partially or completely white and could be discarded. Family-specific survival rates were then expressed as a mean percentage of live, remaining embryos from the initial number of eggs. It is perhaps noteworthy that only a minor proportion of the total variation in this viability measure appears to be attributable to variation in fertilization success.

Shortly before hatching in spring, the replicated egg batches within 30 families were pooled and moved to separate family-specific flow-through rearing tanks (ø 50 cm). The number of paired half-broods was reduced to fifteen due to the high mortality experienced by several families during the incubation period. High mortality at the early phase of development is typical for this Arctic charr population in hatchery conditions (pers. obs.). Thirty days after the transfer (c. 220 degree days post-fertilization), a sub-sample of fifteen endogenously feeding larvae from each family was randomly selected and photographed from the lateral view on a Petri dish. The standard length (L S, excluding caudal fin) as well as the length (L) and height (H) of the yolk sacs were measured to 0.1 mm accuracy from the digital images using the graphic software Image-Pro PLUS 3.0 for Windows (Media Cybernetics Inc. Silver Spring, MD, USA). The yolk sac volume was calculated according to the formula (Kamler 2008):

$$ V_{\text{YOLK}} = \pi \times 6^{ - 1} \times L \times H^{2} . $$

Estimation of Individual Genetic Diversity

The level of individual genetic variability of the parental fish was estimated using 11 microsatellite markers previously shown to be polymorphic in Finnish Arctic charr populations as outlined in Kekäläinen et al. (2009). ‘Internal relatedness’ (IR; Amos et al. 2001) which estimates the similarity of parental half-genotypes within an individual was used as a measure of genetic diversity. IR was highly correlated with the two other genetic diversity estimates measured, the mean observed heterozygosity (H OBS) and heterozygosity weighted by locus (HL; Aparicio et al. 2006) (Pearson’s correlation, |r| = 0.98, n = 90, P < 0.001) and thus only the results for IR are reported.

Statistical Analyses

Statistical analyses were performed using SPSS 13.0 for Windows (SPSS Inc. Chicago, IL, USA). Proportional data (GSI, embryo survival) were arcsine square-root-transformed and C*-values were log-transformed prior to statistical analyses to render them normally distributed. The difference between sire coloration groups (bright vs. pale) was tested in respect of IR using student’s t-test. Further, association between IR and abdominal redness (C*-value) was studied for both sexes separately using Spearman’s rank correlation (males; a non-normal distribution of chroma) and Pearson’s product moment correlation (females).

To test for the presence of maternal effects in embryo survivorship and larval size measurements, Pearson’s correlation analysis was used on data from paired bright- and pale-sired maternal half-siblings. A paired-samples t-test was used to examine if there were consistent differences in the mean survival rates and growths of bright- and pale-sired maternal half-siblings. The GSI and each of the progeny traits (female-specific grand means) were separately tested against the abdominal coloration of females using a multiple linear regression model, in which female C* and total length were entered as predictor variables. Then, plots of residuals against predicted values were investigated to verify the assumption of linearity. All statistical significances were evaluated as two tailed and at a critical value α = 0.05.

Results

Relationship Between Coloration and Genetic Diversity

Polymorphism was observed in seven of the 11 microsatellites assessed, and the results reported are based on data for these seven loci. The average number of alleles observed per locus was 3.0 and the average observed heterozygosity was 0.51. Internal relatedness (IR) did not differ significantly between the males ranked as either bright- or pale-coloured individuals (t = −1.21, P = 0.230, n = 60). There was neither dependence between IR and abdominal C*-values among males (Spearman’s rank correlation, r s = −0.098, P = 0.454, n = 60) nor among females (Pearson’s correlation, r = −0.127, P = 0.503, n = 30).

Offspring Viability and Growth

Embryo survival rates from fertilization to eyed stage varied substantially among families, the grand means being 33.4 ± 5.4 (SE) % (range 3–92%) for bright-sired half-clutches and 33.0 ± 5.1 (SE) % (range 3–93%) for pale-sired half-clutches. A high positive correlation was found between the proportions of bright- and pale-sired half-siblings surviving to eyed stage (Pearson’s correlation, r = 0.946, P < 0.001, n = 30), indicating a notable maternal effect on incubation success. Amongst paired half-sibships, however, survival was not consistently associated with sire brightness (paired-samples t-test, P = 0.996, n = 30; Fig. 1).

Fig. 1
figure 1

Embryo survival rates to eyed stage (mean ± SE, n = 4) in maternal half-sibling Arctic charr sired by bright- and pale-coloured males

There was a strong maternal effect also in larval endogenous growth, as indicated by the strong positive correlations between the post-hatching standard lengths and yolk sac volumes of bright- and pale-sired half-siblings (Pearson’s correlation, r = 0.770, P = 0.001 and r = 0.704, P = 0.003, respectively, n = 15). Nevertheless, neither of these size variables differed between offspring sired by bright and pale males (paired-samples t-test, both P > 0.420, n = 15; Fig. 2).

Fig. 2
figure 2

a Standard length (LS) and b yolk sac volume (VYOLK) of larvae (mean ± SE, n = 15) in maternal half-sibling Arctic charr sired by bright- and pale-coloured males

Female redness (C*) was negatively associated with both GSI (Fig. 3a) and embryo survival (Fig. 3b), but did not significantly predict larval standard length or larval yolk sac volume when a potentially confounding effect of female total length was controlled for by using multiple linear regressions (see Table 2). None of the measured attributes were mediated through female size.

Fig. 3
figure 3

The relationship between female abdominal coloration and a residual gonadosomatic index (GSI), and b residual embryo survival (female-specific grand means) in Arctic charr. Standardized residual values on the y-axes are from the linear regressions, in which the corresponding variables were regressed on female total length

Table 2 Results from linear multiple regressions with gonadosomatic index (GSI), embryo survival to eyed stage, larval standard length (L S) and larval yolk sac volume (V YOLK) as the dependent variables

Discussion

Condition-dependent ornaments are often assumed to result from directional sexual selection as they may provide honest information about the mate’s heritable quality to the prospective partners (Andersson 1994; Møller and Alatalo 1999; Cotton et al. 2004). In the present experiment, our objective was to evaluate whether an ornamental sexual trait in Arctic charr, carotenoid-based breeding coloration, predicts variation in individuals’ own genetic diversity and/or their reproductive success, as determined by the offspring’s early performance. We did not find evidence for the hypothesis presented by Brown (1997) that the degree of ornamental expression in either sex would signal information about individual genetic diversity. Furthermore, when controlling for the maternal effects by means of artificial half-sib fertilizations, we neither observed that the offspring sired by the bright-coloured males would consistently differ in terms of embryonic survival or endogenous growth efficiency from offspring sired by pale-coloured males. Hence, male redness may not be associated with the beneficial genetic effects underlying these few, albeit essential aspects of progeny quality. By contrast, we did find that the degree of colour expression in females was negatively linked to their reproductive potential. Besides having a smaller relative fecundity (gonadosomatic index), more intensely coloured females also produced offspring of lower viability. These results suggest that charr males should not express directional preference for red females owing to their lower fertility.

Several recent studies have shown that some sexually selected traits can be indicative of individual genetic diversity (Aparicio et al. 2001; Foerster et al. 2003; Marshall et al. 2003; Reid et al. 2005; Rosen and Tarvin, 2006), and this link presumably plays an important role in populations that exhibit inbreeding avoidance as a part of their mating strategies (Fromhage et al. 2009). Then, mate choice on more ornamented individuals (males) could be expected to evolve simply due to the advantages of producing genetically more diverse and consequently higher quality offspring (Lehmann et al. 2006; Kempenaers 2007; see also Primmer et al. 2003). Multi-locus heterozygosity has been strongly linked, for example, to increased metabolic efficiency, developmental stability (e.g., Mitton 1993) and resistance to disease (Reid et al. 2005), i.e., factors that might allow the heterozygous individuals to better afford the costs of developing carotenoid-based ornamentation, in relation to their homozygous (or inbred) counterparts. Nevertheless, we did not observe any association between the measure of individual genetic diversity (IR) and abdominal brightness, suggesting that the expression of this ornamental trait may not reflect an overall genetic quality (e.g., a general effect caused by variance in inbreeding) (see however Müller and Ward 1995; van Oosterhout et al. 2003). On the other hand, the extent to which the genetic diversity estimates across a relatively small number of microsatellite markers actually predict genome-wide variability is not clear (see Slate et al. 2004).

It is perhaps not so surprising that we also failed to detect a genetic connection between male coloration and progeny traits. Although the fitness consequences arising from directional sexual selection occur widely across animal taxa, they have mostly proven to be minor (Møller and Alatalo 1999). According to a meta-analysis conducted on the available data on ‘good-genes’ effects, the male traits chosen by females would reveal, on average, only 1.5% of the genetic component of variance in offspring viability (Møller and Alatalo 1999). In a recent half-sib experiment on brown trout (Salmo trutta L.), however, the number of surviving embryos was found to negatively correlate with the sires’ red-coloured spots, whereas the positive genetic effects were rather linked to the dark melanin-based pigmentation (Wedekind et al. 2008a). It is important to note that genetic benefits do not entirely result from the additive effects of genetically superior individuals, but they also encompass interactions between the genes that offspring inherit from both parents (i.e., dominance genetic effects; Mays and Hill 2004; Puurtinen et al. 2009; see also Wedekind et al. 2001; Rudolfsen et al. 2005; Wedekind et al. 2008b). Such genetic compatibility effects between males and females may cause large variation in fitness and thus complicate or even weaken directional sexual selection on males (Neff and Pitcher 2005). For example, in a crossing experiment on Chinook salmon (Oncorhynchus tshawytscha Walbaum) Pitcher and Neff (2007) found no relationship between male sexually selected traits (a few morphological measures) and offspring survival or growth, but instead, they concluded that an optimal mate selection could still increase these offspring attributes by between 3 and 19% during the endogenous feeding period alone. Further, and perhaps most importantly, the early viability and developmental variation in fishes are largely attributable to the female parent (e.g., Nagler et al. 2000; Perry et al. 2004; Janhunen et al. 2010), and this feature may undermine any independent effects of paternal genes. Yet, one can expect a gradual shift towards sire-mediated effects, and depending on the magnitude of the maternal influence through egg deposit, the genetic fitness benefits associated with paternal sexual coloration might be manifested only later in life (see however Eilertsen et al. 2009).

In conformity with the findings of other half-sib experiments on fish (e.g., Barber et al. 2001; Wedekind et al. 2001; Kortet et al. 2004), our results indicate strong maternal effects on both the embryo viability and larval size traits. Such effects may arise from genetic causes as well as from differences in egg size and quality (e.g., altering amounts of nutrients and hormones deposited in the yolk; reviewed by Kamler 2008). Non-genetic maternal effects were mediated partly through dam coloration in the present study. The redness of females was negatively associated with their reproductive output (measured as both the relative amount of eggs produced and the number of surviving embryos), suggesting a significant trade-off in resource allocation between ornamentation and the offspring. This finding conforms with the hypothesis proposed by Fitzpatrick et al. (1995) that males choosing excessively ornamented females would receive fewer and/or poorer eggs than they could have obtained from a similar quality female which allocated less to ornamentation and more to reproduction. A possible physiological basis for our finding about the negative relationship between female redness and the early viability of her offspring could be that the development of carotenoid-based breeding coloration in females might reduce the availability of these valuable pigments (antioxidants) to developing embryos, thus leading to lower incubation success per brood (see e.g., Ahmadi et al. 2006; Tyndale et al. 2008). In support of this idea, Nordeide et al. (2006, 2008) found that the intensity of red ornamental coloration in both the stickleback and Arctic charr females may, indeed, be negatively correlated with the amount of carotenoids in the eggs, though the relationship was only marginally significant in the latter case.

The direct (mutual) selection hypothesis proposes that ornamental elaboration of both males and females is positively linked to some aspect of individual quality, and hence, these ornaments are a consequence of directional mate choices (Kraaijeveld et al. 2007). Because a preference for more colourful females would seem to disadvantage Arctic charr males, however, the direct selection hypothesis seems to be a somewhat illogical explanation for the existence of female ornamentation in this species (see also Nordeide et al. 2008). Further, it seems unlikely that mutual breeding ornamentation has resulted from reproductive competition separately in both sexes (see LeBas 2006; Watson and Simmons 2010) because only male charr have been shown to compete over spawning territories and mates (Sigurjónsdóttir and Gunnarson 1989). In contrast, based on the present results, it seems more likely that female ornamental coloration in Arctic charr has evolved as a non-adaptive, genetically correlated trait resulting from sexual selection acting on males (Lande 1980).

Carotenoid-based coloration can have a strong genetic basis (Elvingson and Nilsson 1994; Craig et al. 2005; Hughes et al. 2005), but it may also involve an environmental component, reflecting differences in individual nutritional state (McGraw et al. 2005b; Hadfield and Owens 2006). Consequently, using cultivated fish instead of wild fish for this sort of experiment may result in the causes of variation in coloration being different from those in the environment where the signalling system evolved. In hatchery-reared Arctic charr, within-population variability in carotenoid pigmentation is known to result partly from the differential feed uptake and growth among individuals (Hatlen et al. 1997). However, there was no relationship between individual colour intensity and body size in our study. Additionally, the other potentially confounding factors—age and rearing conditions—were the same within each male pair. Thus, the observed variation in colour expression is likely, to a considerable degree, due to genetic causes (e.g., intrinsic ability to sequester carotenoids from food and mobilize/allocate them further for different purposes).

To conclude, our data do not provide evidence for the conjecture that the degree of carotenoid-based sexual ornamentation in Arctic charr would reflect individual genetic quality in the form of genome-wide variability. Nor does our study lend support to the ‘good genes’ theories of sexual selection, that is to say, charr females may not receive indirect genetic benefits through their offspring’s early survival and growth by preferentially mating with males with intense red coloration. However, we cannot exclude the possibility that the bright red males would still be fitter in a heritable sense and possess a better breeding value, on average, for the total fitness. In females, instead, the investment into carotenoid ornamentation appears to involve significant reproductive costs, i.e., it occurs at the expense of fecundity and offspring viability. This finding does not support the direct selection hypothesis when explaining the evolution of female ornamentation. On the contrary, it conforms to the view that the less intense coloration of females in comparison with males reflects inter-sexual differences in the intensity of sexual selection, or, in particular, in the trade-off between natural and sexual selection. Either way, the carotenoid-based breeding coloration of Arctic charr is presumably far more informative among females than among males in predicting their quality by the number of offspring produced.