Sex, population origin, age and average digit length as predictors of digit ratio in three large world populations

Recently, a number of authors have claimed that sexual dimorphism in the second-to-fourth digit ratio (2D:4D) is simply dependent on digit length and is an artifact of allometry. The goal of our study is to verify the validity of these assumptions. The study sample comprised 7,582 individuals (3,802 men and 3,780 women) from three large world populations: Europeans (n = 3043), East Africans (n = 2844), and Central Asians (n = 1695). The lengths of the second and fourth digits on both hands were measured. Digit ratios were computed according to standard procedures. Analyses were conducted separately for each hand for the whole sample and in succession for the three large populations. Additionally, we separately tested four age cohorts (≤ 13, 14–18, 19–30, and 31 ≥ years) to test the effect of developmental allometry. The second and fourth digits showed strong positive linear relationships on both hands, and demonstrated an increase with age; digit length in women from the youngest age cohort was longer or equal to that of men, and shorter than men in older age cohorts. However, the 2D:4D magnitude and its sexual dimorphism remained stable throughout the ontogeny. To test for an allometric effect on 2D:4D, the average digit lengths were calculated. Both sex and population origin were permanent reliable predictors of 2D:4D, whereas average digit length was not. Height was applied as another measure of allometric effect on the limited sample (≤ 30 years) from the European population, along with sex and age. No allometric effect was observed in this case. We conclude that sex differences in 2D:4D are not an artifact of allometry.

The idea for this study stemmed from two facts: 1. the high popularity of the 2D:4D ratio used for testing different traits related to androgenisation and estragenisation during critical periods of prenatal development; and 2. recently strengthened opposition against the use of the 2D:4D ratio, partly based on the idea that the 2D:4D ratio is a mere artifact of the allometric effects of digit growth. It is hypothesised that sexual dimorphism in the 2D:4D ratio is a product of the cumulative effects of both prenatal and postnatal developmental processes 1 . Hence, the 2D:4D ratio in adults may partly reflect neonatal testosterone exposure, along with prenatal exposure 1,2 . The 'Organisational hypothesis' suggests that prenatal sex steroids, particularly testosterone, modify growth and development in a sexually dimorphic way 3 . Due to ethical reasons, accurate measurements of prenatal testosterone exposure in humans are difficult, and a limited number of studies have been conducted in this area to date. Hence, the popularity of the use of indirect measures as a biomarker of prenatal androgenisation, namely, 2D:4D, is growing 4-7 . In the majority of studies, researchers deal with 2D:4D in postnatal samples, with a wide range of age groups [8][9][10] .
One of the most important questions is the extent to which the digit ratio may serve as a proxy for prenatal androgenisation, and whether 2D:4D actually indexes prenatal sex steroid exposure. Both indirect and direct data deserve mention in this respect. A recently conducted meta-analysis on the 2D:4D ratio and congenital adrenal hyperplasia (CAH) showed that the digit ratios were typically lower (i.e. more 'male typical') in CAH populations than in sex-matched controls 11 . This seems to provide some evidence in favour of the initial hypothesis that higher prenatal testosterone leads to the development of lower digit ratios 12 . However, Richards et al. suggested that, at least in the case of CAH, there may be a number of other possible explanations of lower 2D:4D ratios: 1. reduced concentrations of glucocorticoids and mineralocorticoids, both of which affect bone growth; 2. sex differences in the deposition of adipose tissue in the fingers 13,14 ; and 3. prenatal cortisol deficiency, as well as early postnatal administration of glucocorticoids and mineralocorticoids shortly after birth in cases of CAH treatments 11 . The most recently published study reported no differences in 2D:4D in CAH and control youth samples in men and women 15 .
The data on the associations between 2D:4D and prenatal sex hormones measured from amniotic fluid and umbilical cord blood may be of some assistance [16][17][18][19] in support of 2D:4D as a biomarker of prenatal androgenisation 11,20 . To date, such studies are rare. Malas et al. conducted a study on foetuses without pathology or malformation at 9-40 weeks of gestation, and revealed significantly higher digit ratios in female foetuses 21 . Another study, conducted on foetuses from 14 to 42 weeks 1 , revealed a slight, but still significant, sexual dimorphism in the expected direction. G. Richards reported two studies of amniotic fluid 17 and mentioned six studies of umbilical cord blood 18 . S. Lutchmaya et al. provided evidence that prenatal sex steroids influence digit development 19 . They demonstrated that the 2D:4D ratios in two-year-old children were associated with the levels of foetal testosterone and estradiol in the amniotic fluid of their mothers in the second trimester of pregnancy. The low 2D:4D ratios were associated with high foetal testosterone in relation to estradiol. On the contrary, the high values of 2D:4D were associated with low foetal testosterone and high estradiol levels. In addition, it was found that all relationships between 2D:4D and foetal sex steroids were stronger in the right hand than in the left. However, a recent replication study examining associations between individual differences in amniotic sex hormone concentrations and digit ratio did not confirm the initial findings of Lutchmaya 22 . Hence, the hypothesis according to which a mid-trimester sex hormone concentration may affect the development of 2D:4D ratios in humans remains problematic.
Two studies by Mitsui et al. reported the level of adrenal steroid hormones in cord blood samples, and 2D:4Ds for the same individuals, measured when they became school children 23,24 . While no significant associations between prenatal androgen levels and 2D:4D were found in the first study, the second study demonstrated that 2D:4Ds (both hands) were significantly lower in males than in females (p < 0.01). The level of dehydroepiandrosterone (DHEA) was significantly negatively correlated with 2D:4D in males only. G. Richards noted the inconsistency of these results 18 . However, J. Manning and B. Fink, in disagreement with G. Richards, pointed to the fact that it is far from obvious 'whether amniotic studies are the best way forward to consider links with 2D:4D' 16,21,25 , and reasoned that the 'amniocentesis is typically performed in the second trimester (weeks 14 to 16) and cord-blood yields perinatal hormones' 16 . This suggests that amniotic studies may not be used as 'direct' evidence for 'links between foetal sex hormones and 2D:4D' 16 . Hence, the problem with 2D:4D as a biomarker of prenatal androgenisation is far from resolved.
The role of androgen and oestrogen signalling in the development of sexually dimorphic digit ratios has also been investigated in animals 26,27 . It was demonstrated that androgen receptor (AR) and oestrogen receptor α (ER-α) activity were higher in digit four than in digit two, and inactivation of AR decreased the growth of digit four, whereas inactivation of ER-α increased the growth of digit four. Thus, both affect the digit ratio in mice 26 . However, these results were not confirmed in another study 28 , although the organisational morphological effects of prenatal ARs on 2D:4D have been demonstrated. The interaction effect of salivary testosterone and androgen receptor gene CAG repeats was mentioned as a potential predictor of 2D:4D in the first two years of life in males 2 . However, a recently published and more representative study with replication and meta-analysis on AR (CAG)n and current testosterone levels reported no significant relationships with 2D:4D at the individual level in adults 29 .
Whether 2D:4D increases after birth during ontogeny is another unresolved question. Generally, studies have suggested that the prenatal 2D:4D ratio is lower than that reported for children and adults. This means that the digit ratio increases after birth in both sexes, and the second digit grows faster than the fourth digit (positive allometric growth of digit two) 1 . Some data suggest that the 2D:4D ratio remains relatively stable during lifetimes since early childhood 4,30 , whereas other data demonstrated that some changes may take place during the prenatal period, during the first two years after birth, and during later individual life 1,2,21,31-33 . Hence, sex differences may increase from childhood to adolescence.
Population and ethnic differences in digit ratios have been reported 4,5,[34][35][36][37] . In most cases, men had lower 2D:4D ratios than women from the same population. The exceptions include data reported on Yali from Papua 38 and Hadza of Tanzania (data reported by C. L. Apicella et al.) 39 . However, the data reported by M. Butovskaya et al. on Hadza provided sexually dimorphic digit ratios in the expected direction for both children and adults 36,40 . The nature of population differences in 2D:4D, as well as differences in the degree of sexual dimorphism, is another important question for future studies.
In this general area, a group of authors 41,42 has made a serious claim that sexual dimorphism in 2D:4D arises as an artifact of allometry. They have stated that there is no sexual dimorphism, apart from men being generally larger, and there is no need to invoke specific sex hormone effects on finger development to explain the differences between males and females. According to these authors, allometry and sexual dimorphism may be found by regressing the length of the second finger 2D (outcome variable) over the length of the fourth finger 4D (predictor variable). This view has been criticised from a methodological perspective by other scholars 43 . In particular, the ordinary least squares (OLS) regression method fails to account for 'biological noise' , 'natural variation' 44 , or 'biological deviance' 45 in the predictor variable.
In current anthropological literature, ratios have been frequently criticised in general (see, for example, 46 ), mainly because ratios often fail to achieve independence of body size. However, W. Forstmeier 43 noted that ratios, in principle, may still be independent of variation in body size. He called for the necessity of empirical testing on whether human digit ratios are independent of size, and proposed using the mean finger length [(2D + 4D)/2] as a measure of body size. J. Manning  www.nature.com/scientificreports/ such views arise because of a misunderstanding of the nature of sexual dimorphism in digit length, and pointed to the necessity of differentiation between static and developmental allometry. J. Manning and B. Fink demonstrated that female digits in prepubertal children tend to be longer than male digit lengths, but 2D:4D is sexually dimorphic in the expected direction (males < females) 30 . After the age of 13, sexual dimorphism in digit length became progressively greater, with males exceeding that of females; however, 2D:4D has been independent of age 30 . Decades earlier, the X-ray data from the Fels study of longitudinal growth in children aged 2-18 were used by S. M. Garn et al. 47 to demonstrate that the length of the phalanges of the digits has increased rapidly. Again, at the start, girls tended to have longer (not shorter) phalanges than boys. Around the age of 13, both sexes reached approximately equal phalange lengths 47 . Another radiologic study revealed that phalanges grew faster in boys 48 . While phalange lengths and sex differences in phalange lengths change rapidly, the bone-to-bone length ratios are relatively stable [47][48][49] . That is, radiologic longitudinal, cross-sectional, and longitudinal direct finger measurements suggest that the magnitude of sex differences in 2D:4D is not linked to digit lengths. Male digit growth continues beyond the age of 18, long after the digits of females cease to grow. From the age of 20 to 30, sex differences in digit lengths are substantial, but sexual dimorphism in 2D:4D remains stable 30 .
The goals of the current study were to test whether the sexual dimorphism in 2D:4D may be associated with allometric changes, to analyse the developmental allometric processes in prepubertal, pubertal, young adult, and older adult age cohorts, and to determine if the same model is valid for the samples from three large human populations tested in our study, namely, Europeans, East Africans, and Central Asians.  19 February 2015) approved the protocols used to recruit participants and collect data before conducting the study. All subjects provided informed verbal or written consent prior to participation. Verbal consent was deemed appropriate given the low literacy rates of our participants (in this case, consent was registered by research assistants in the presence of a particular respondent: Hadza, Datoga, Isanzu, Iraqw, and Meru). Permission for children's participation was also obtained from their parents. The local school administrations were informed about the purpose of this study and also provided their consent.

Materials and methods
Participants. The present study was a cross-sectional study conducted in Russia, Armenia, and Tanzania during a number of field studies between 2004 and 2019. In total, data on 7,582 individuals (3,802 males and 3,780 females) within the age range of 4-95 years from three large world populations were collected: Europeans (n = 3043), Africans (n = 2844), and Asians (n = 1695). Europeans were represented by Russians (n = 2313), Mordva (n = 106), Ossetians (n = 364), and Armenians (n = 260); Sub-Saharan Africans were represented by East African populations from Tanzania, namely, by Hadza (n = 643), Datoga and Maasai (n = 1134), Iraqw (WaMbulu) (n = 274), and Bunty (Isanzu, Meru, and others) (n = 793); Asians were represented by Central Asian populations of Buryats (n = 606) and Tyva (n = 1089), both of Mongolian origin. The data on European populations were collected in Russia (Central Russia, Volga Region, North Ossetia-Alania) and Armenia. All Asian data were collected in Russia (Buryatia Republic and Tyva Republic). Data on Africans were collected in Tanzania (in Arusha, Manyara, and Singida Regions).
Procedure. The data were collected by the authors of this study who are experienced in anthropometry. The second and fourth digits of participants were measured directly (with a Vernier calliper measuring to 0.01 mm) from the basal crease to the tip on both hands. Where there was a band of creases at the base of the digit, the most proximal crease was used 63 . Participants who reported injuries or deformities of the second or fourth digits were excluded from later statistical analyses. Direct measurements avoid the problem of distortion when palms are placed on a photocopier or scanner 64 . The right and left 2D:4D ratios were calculated following the procedure described by Manning et al. 12 . The repeated measures of the first and second 2D:4D for the whole sample provided an intra-class correlation of 0.94 for the right hand and 0.93 for the left. Therefore, we assumed that the differences in the between-individual measurements of 2D:4D were significantly greater than the withinindividual measurement error.
We estimated the relationships between the second and the fourth digits by regressing the second digit (outcome variable) over the fourth digit (predictor variable) to reveal the proportional differences in their lengths. This was done for the whole sample, as well as for different age cohorts (see below for the divisions of such age cohorts). In addition, we revealed the age dependence of each of the two digit lengths, as well as digit ratios, by regressing these parameters over the age scales. We tested the effect sizes (Cohen's d) of sex differences in digit ratios, as well as sex differences in mean (average) digit lengths to determine which of these parameters have a higher potential in reflecting levels of sex hormones during development.
To test for the allometric effect on 2D:4D, we used the mean (average) digit lengths, calculated as [(2D + 4D)/2], as previously reported by other scholars [40][41][42][43] . This was done because of the disproportionally fast growth of both fingers during some periods of ontogeny (particularly, the pubertal period). In addition, it may not be optimal to test the separate effect of the fourth or second digits on 2D:4D, as both fingers invest in the www.nature.com/scientificreports/ obtained ratio, and a simple correlation between these parameters (although in different directions) is logically expected. We plotted the digit ratio directly over the mean finger length. Next, we analysed the digit ratio as the outcome variable in a general linear model, using the GLM ANCOVA, with sex as a fixed effect and mean finger length as a covariate (main effects without interaction). In order to test the possible differences in digit growth patterns in more detail to reveal the effect of developmental allometry (separately from static allometry), and to minimise the effect of possible noise arising from a number of reasons, including differences in life history and ageing, differences related to population origin, individual variations, and ecological and cultural-economic factors, we divided our sample into four age cohorts based on general assumptions about the periods of ontogeny: 1. prepubertal (equal and younger than 13 years); 2. pubertal (between 14 and 18 years); 3. young adults (between 19 and 30 years); and 4. older adults (aged 31 years and older). It is important to note that the fourth age cohort was underrepresented in the cases of representatives of European and Asian populations. Additionally, the sample from the European population aged 9 to 30 years was tested in separate analyses for allometric effect based on height information obtained from the same individuals. Height data were collected using a portable anthropometer.

Results
The descriptive statistics for the 2D:4D ratio, mean finger length, and average finger length for the total sample, as well as for the three large samples are presented in Table 1. Due to various injuries, deformities, and other problems with fingers on each hand, the final reported numbers for second and fourth fingers on the right and left hands were different, and the final samples of digit ratios were: n R2D:4D = 7490 and n L2D:4D = 6481 ( Table 1).
The same table presents information on sex differences for these traits and effect sizes (Cohen's d). T-tests, conducted for the whole sample, as well as separately for each of the three populations, revealed significant sex differences in all tested parameters (2D, 4D, average finger length, and 2D:4D) for both hands ( Table 1). The digit ratios on both hands were lower for males than for females, both for the whole sample and separately for each of the tested populations, with small to medium effect sizes.
We regressed the 2D on the 4D length for the whole sample and separately for each of the three populations ( Fig. 1).
According to the one-way ANOVA, the three populations differed by digit ratios on both hands in males ( . Right hand digit ratios in males also differed significantly between populations; 2D:4D was higher in Europeans than Africans and Asians (Post-Hoc, DunnettT3: p = 5.0E−6 and p = 0.001). The same was true for European females compared to Africans and Asians (Post-Hoc, DunnettT3: p = 8.0E−6 and p = 1.0E−6). Again, the left hand 2D:4D was higher in Europeans than African and Asian males (Post-Hoc, DunnettT3: p = 7.0E−6 and p = 0.001), and females (Post-Hoc DunnettT3: p = 3.0E−6 and p = 4.407E−7).
We conducted the GLM ANCOVA four-way analyses with 2D:4D on each hand as outcome variables, and sex and population as independent predictors, age and average finger length as covariates for the whole sample (Table 2), and GLM ANCOVA three-way analyses with sex, age, and average finger length as covariates separately for the three populations (Table 2). This was done to test the main effects of these predictors on the 2D:4D values. Sex was a significant predictor for both the right and left hands in all samples, as well as for each study population. The effect of population was significant for the whole sample in the case of the right hand (medium effect size) and the left hand (small effect size). The effects of the mean digit lengths (both hands) for the total sample and for each of the three populations were not statistically significant.
The life trajectories of the second and fourth finger lengths, as well as 2D:4D on both hands, were tested in a set of linear regressions for the whole sample and separately for the three populations (Figs. 2, 3, 4).
Given the goals of this study, we were also interested in determining whether male fingers were always longer than female fingers, whether developmental trajectories for the two sexes look different, and whether these transformations may have affected the 2D:4D during periods of intensive growth and development. Thus, in the next step we focused on the subsample of four separate age cohort individuals with special emphases on prepubertal, pubertal, and young adults (see the 'Procedure' section). As mentioned earlier, the fourth age group was substantially underrepresented in the case of Europeans and Asians, and consequently, the results obtained in this case should be received with caution. The descriptive statistics for the 2D:4D ratio, mean finger length, and average finger length for each age cohort independently for the whole sample (Table 3), and separately for each population (in this case, the data for the right hand only were provided) (Supplementary Table 1) is provided. The latter was performed to reduce the number of tests and in accordance with the general assumption about more evident tendencies of androgenisation in the right than in the left hand [65][66][67] . In addition, there was a high correlation between the right and left hand second and fourth digit lengths in both sexes. T-tests for sex differences in second and fourth digit lengths, and 2D:4D in each of these cases, were also conducted ( Table 3; Supplementary  Table 1). For the first age cohort, the length of the second digit was longer in females than males, and the length of the fourth digit was not sexually dimorphic (both hands, total sample). In contrast, in the remaining three older age cohorts, both digits were longer in males than females (both hands, total sample). However, in all age cohorts, the 2D:4D ratios were lower in men than women. Additional information on developmental trajectories in second and fourth digit lengths, as well as 2D:4D ratios, are presented for prepubertal, pubertal, and young adults in supplementary figures (Supplementary Figs. 1-7).
To test for possible differences in the effect of average finger lengths on 2D:4D in different periods of growth and development, we conducted the GLM ANCOVAs for separate age cohorts for the whole sample (Table 4), and separately for each population (Supplementary Table 2). The effect of sex on the right hand digit ratio was significant (medium effect size in the case of the youngest age cohort, and small effect sizes in the rest of the www.nature.com/scientificreports/ cases, total sample). Population was a significant predictor of digit ratio for the three younger age cohorts (total sample) ( Table 4). Neither age nor average digit length were significant predictors of digit ratios in separate age cohorts (total sample and separate populations) ( Table 4; Supplementary Table 2). Height was used as another measure of allometric effect on 2D:4D for a limited sample from the European population within the 9 to 30 years age range. The GLM ANCOVA analyses were conducted for the right hand 2D:4D with outcome variable, sex, age, and height as predictors for the whole sample, as well as separately for prepubertal, pubertal, and young adult age cohorts. None of the tests revealed any significant height effect on 2D:4D (Table 5).

Discussion
The main conclusion of our study is that 2D:4D ratios on the right and left hands were sexually dimorphic for the whole sample, as well as separately for all three tested populations. This was not the case with the second and fourth digits and their averages. The effect sizes, Cohen's d of sex differences for the 2D:4Ds, as well as for the second and fourth digits, and averages for both digits ranged from small to medium. We demonstrate that for the whole sample, as well as for separate populations, every 0.9 cm increase in the second digit was related to a 1.0 cm increase in fourth digit. The digit lengths (second and fourth) increased substantially from childhood to adulthood, and there was a strong positive correlation between second and fourth digits across individuals. These findings are in accordance with those of earlier studies 43 . Sexual dimorphism in digit lengths, evident in human adults, was not observed in prepubertal children, which is again in line with previously reported data 48 .
The developmental allometry effects were tested in four age cohorts, with special emphasis on younger subsamples. This was conducted in accordance with the knowledge about the intensive growth of fingers in this period, as well as existing data on changes in growth patterns from childhood to young adulthood. The fourth age cohort (older adults) was substantially underrepresented and contained an insufficient number of individuals of European and Asian origin. Hence, we refrained from drawing specific conclusions for this age cohort.
For the whole sample, Cohen's d for the 2D:4D ratios and digit lengths were of comparable sizes. In the case of separate prepubertal, pubertal, and young adult age cohorts, the situation was radically different. The data on sex differences in digit lengths in prepubertal and pubertal cohorts were in accordance with general expectations that females reach puberty considerably earlier than males [68][69][70] . On average, these results resulted in one to twoyear differences 71 . Females in the prepubertal age cohort had significantly longer second digits and significantly higher 2D:4D ratios on both hands than males, whereas no sex differences for the fourth digits on both hands were found. For the prepubertal sample, the effect sizes for 2D:4D (right and left hand) were approximately 0.5 standard deviations, while for separate and average digits, the effect sizes were four times lower at the minimum.
Obvious population differences need to be considered. For prepubertal children in the African population, both the second and fourth digits were significantly longer in females, whereas for Europeans of the same age cohort, this was true only for the second digit; for Asians, no sex differences in digit length were present for prepubertal children. For the second age cohort, both fingers became significantly longer in males for Europeans and Asians, but were of equal lengths in males and females from the African sample. These differences suggest that respondents from African samples matured slower, and developmental processes in this population had www.nature.com/scientificreports/ different trajectories than their European and Asian peers. In young and older adults, both the second and fourth digits on both hands were significantly longer for males in all three populations. The 2D:4D ratio magnitude of sex differences essentially remained stable throughout ontogeny (in all four age cohorts) and of medium effect www.nature.com/scientificreports/ size. According to the logic of Lolli et al. 41,42 , the 2D:4D values would have to decrease with an increase in digit length, particularly in prepubertal and pubertal samples. In reality, the 2D:4Ds were remarkably stable with age, despite the increase of second and fourth digit length during ontogeny and the reversions in finger lengths in males and females that occurred during puberty.
Our results based on cross-sectional data are in line with other cross-sectional data, as well as with longitudinal studies 30 . Our data simultaneously revealed some population-specific variations in ontogenetic trajectories. In particular, in the African sample, female digits remained longer than male digits until 15-16 years of age (mid-adolescence), while in European and Asian samples, finger lengths were inversed before the age of 14 and remained longer in males than in females in all older ages. The differences obtained for Africans may be caused by specific life history trajectories with slower maturation, resulting from a mixture of environmental and social stressors, including malnutrition, a high risk of infections, and limited access to modern medical assistance in rural African populations [72][73][74][75][76] .
The GLM ANCOVA tests conducted in our study demonstrated the significant effects of sex and population origin (medium size), and a small effect size for age as predictors of 2D:4D. However, the average finger length was not a significant predictor for the right 2D:4D in accordance with recently reported data for adult Hadza males by other authors 77 . The effect of height as another potential marker of allometry on 2D:4D has not been detected in a limited sample of respondents until the age of 30; however, the data on height were tested for Europeans only. We do not know if the same peculiarities will be present in other large world populations as well as in older age cohorts. More data in this respect will be needed in the future to confirm these results.
Many previous studies have demonstrated that population/ethnic origin may be an important predictor for the 2D:4D ratio 36,37,[78][79][80][81][82] , and our data support these conclusions. Along with numerous environmental factors, the heritability factor needs to be considered in this respect [83][84][85] . In particular, twin studies provide an estimate of approximately 60% 76 . Another support in favour of the inheritance of digit ratios has recently been presented by Chuvashian studies 85,86 . The clear familial aggregation of 2D:4D ratio variation in the Chuvashians, with significant parent-offspring and sibling correlations, was unrelated to common environmental effects. Hence, along with the various environmental and socio-cultural factors, certain genetic effects also need to be considered and tested with more care in the future.
In this study, we refrained from analysing the right-left difference in 2D:4D (D[R-L]). This was done deliberately, not only to limit the amount of information for analysis, but also for the following reasons: 1. the lack Table 2. The GLM ANCOVA analyses for outcome variables the right and left 2D:4D ratios and sex, population, age, average finger length for the right and left hand in the whole sample, and sex, age, average finger length for each population. R 2 R Squared, df degrees of freedom, F F test statistics, p statistical significance, η 2 Partial Eta Squared effect size. www.nature.com/scientificreports/ of studies on the validity of this marker; 2. using asymmetry in digits two and/or four may cause biases in the associations between asymmetry and digit ratios 87 ; and 3. currently expressed concerns regarding the utility of D[R-L] as an indicator of prenatal androgen exposure 22 .

Figure 2.
Right 2D and 4D finger means to age: right 2D finger means to age in total sample (a), right 4D finger means to age in total sample (b), right 2D finger means to age in three populations (European origin (c), African origin (d), Asian origin (e)), right 4D finger means to age in three populations (European origin (f), African origin (g), Asian origin (h)). www.nature.com/scientificreports/ In summary, our data suggest that there is no reason to reject the sexual dimorphism of 2D:4D associated with both prenatal and postnatal factors. Hence, we should not throw the baby out with the bathwater. The sex differences in second and fourth digit lengths were not stable within ontogeny, and even reversed in adulthood, whereas 2D:4D ratios remained unchanged since six years of age. The ontogenetic transformations in finger . Left 2D and 4D finger means to age: left 2D finger means to age in total sample (a), left 4D finger means to age in total sample (b), left 2D finger means to age in three populations (European origin (c), African origin (d), Asian origin (e)), left 4D finger means to age in three populations (European origin (f), African origin (g), Asian origin (h)). www.nature.com/scientificreports/ lengths in boys and girls do not make the sex effect on 2D:4D less statistically significant. The effect size of sex was higher than the average digit length in all cases, and height (in the case of Europeans, less than 30 years of age). The theory according to which the sex difference in 2D:4D has been driven by the sex difference in digit length may have arisen from a misunderstanding and incorrect assumption ignoring the human growth pattern trajectory. The stability of 2D:4D may be an example of homeostasis of form, and our data completely support J. Manning and B. Fink's idea 30 . Another important conclusion is that the degree to which androgenisation (2D:4D  www.nature.com/scientificreports/ being a potential proxy) affects particular behaviour or morpho-physiological conditions may be populationand situation-specific and culturally mediated. Our data, along with currently accumulated information from different world populations, call for treating the allometric effect on 2D:4D with caution. It is worth stressing the importance of differentiation between the static and developmental allometry effects, and the necessity of considering as many factors as possible (genetics, particularly population origin, environmental and social factors affecting maturation, urbanisation effects, etc.) while searching for explanations of 2D:4D sex differences 30,88 .
Populations currently undergoing rapid transformations due to global and local changes must be treated with special care. Representatives of different age cohorts may differ in their maturation patterns, particularly the timing and duration of growth morphological changes. Due to the small to medium effect sizes that are usually obtained, studies using 2D:4D may need to consider very large sample sizes in order to be of practical use 89 Table 3. Sex differences in finger measurements and 2D:4D ratios for both hands in prepubertal, pubertal, young and older adults age cohorts. Sex differences presented according to Student's T test (t test statistics, SD std. deviation, df degrees of freedom, p statistical significance). www.nature.com/scientificreports/ sexually dimorphic traits, it may be used in projects dealing with ecological and socio-cultural transformations in growth and development in contemporary representatives from large-and small-scale societies.

Data availability
The data produced and processed in this study are included in the published article and supplementary files. The datasets were acquired from the corresponding author for appropriate purposes. www.nature.com/scientificreports/