Human Reproduction vol.11 no.5 pp.939-94O, 1996 OPINION Genetic and non-genetic determinants of the human sex ratio at birth William H James The Galton Laboratory, University College London, Wolfson House, 4 Stephenson Way, London NW1 2HE, UK I should like to raise two main points in connection with the recent note by Bernstein (1995). Firstly, the possible genetic control of human sex ratio and secondly, the variances of the distributions of the combinations of the sexes in human sibships and in litters of polytocous mammals. Possible genetic control of human sex ratio Bernstein's suggestion that there is some genetic control of sex ratio is supported by the evidence that some parental HLA genes may partially control offspring sex ratios. Ivanyi et al (1972) reported that in the mouse 'a genetic factor identical with, or closely linked to, the H-2 system is involved in the control of sex hormone metabolism'. On the basis of this, they made a remarkable prediction: 'If the situation in histocompatibility genetics and associated traits in man is analogous with that seen in the mouse, a great number of physiological characters and disorders may be expected to display a statistically significant association with HL-A types'. The prediction was confirmed the following year when it was discovered that HLA B 27 is very powerfully associated with ankylosing spondylitis (Brewerton et al, 1973a) and with Reiter's syndrome (Brewerton et al, 1973b). Later, Gerencer et al. (1982) and Oilier et al. (1989) demonstrated variation in testosterone concentrations by HLA Class 1 alleles in, respectively, women and men. Of interest are the facts that: (i) some HLA-associated diseases (e.g. those associated with B 27) are much more common in men; (ii) others (e.g. those associated with B 8) are more common in women; (iii) HLA B 27 is apparently associated with high testosterone concentrations in men (James, 1991a); (iv) HLA B 8 is associated with low testosterone concentrations in women (Gerencer et al, 1982). On the basis of these four points, I suggested that HLA B 27-associated diseases are partially caused by high concentrations of testosterone, and HLA B 8-associated diseases by low concentrations of testosterone (James, 1991a). There is a large quantity of data suggesting that high parental concentrations of testosterone at time of conception are associated with the subsequent births of boys, and low parental concentrations with the subsequent births of girls (James, 19%). Hence, I suggest that the reported excess of brothers of probands © European Society for Human Reproduction and Embryology with ankylosing spondylitis, and of sisters of probands with rheumatoid arthritis constitute support for the notion that the diseases are partially hormonally caused (James, 1991b). Further confirmation of these excesses of brothers and sisters have been supplied by Calin et al. (1993), Deighton et al. (1993) and Ploski et al (1994). In short, there is a network of fact and argument tending to suggest that some of the HLA genes, by controlling hormone concentrations, not only operate as markers for disease, but partially (and weakly) control the probability of producing a boy. Variances of the distributions of the combinations of the sexes in human sibships and in litters of polytocous mammals Bernstein (1995) wrote: 'James (1994, 1995) claimed that the subnormal dispersion of sexes within mammalian Utters is due to the fact that not all zygotes are formed at the same time during the heat period. But the distribution of sexes in human sibships is also subnormal (Bernstein, 1952), i.e. a later-bom sibling is more likely to have the same sex as its older siblings. This has nothing to do with when fertilization in his or her mother has taken place during her fertile period'. There is an error here. The variance of the distributions of the combinations of the sexes in human sibships is not subnormal: it is supernormal (e.g. Edwards, 1958). In other words, as contrasted with binomial expectation, there are excesses of unisexual sibships, as Bernstein (1952) herself reported. In contrast, the variance of the distributions of the combinations of the sexes within litters of some polytocous mammals is subnormal e.g. the sheep (James, 1976) and the rabbit, the mouse and particularly the pig (James, 1975). In other words, as contrasted with binomial expectation, there are deficits of unisexual litters. Explanations of these phenomena may be offered. The data on human sibships would be (partially) explained by the genetic mechanisms invoked above. Other causes of such variation are suggested by non-genetic associations with the sex ratio (James, 1990). The subnormal variance in mammalian litters is less easily explained. The distinguished Italian statistician Gini (1951) commented that such data 'furnishes the unique example so far known of subnormal dispersion in a statistical series'. Edwards (1960) noted the theoretical possibility that if the zygotes in a litter had different probabilities of being male, such a result might occur. Bearing in mind the evidence (cited 939 W-HJames in James, 1995) that: (i) the zygotes in mammalian litters are not formed simultaneously and (ii) the probability P (that a zygote will be male) varies across the interval during which zygotes are being formed, it seems that the conditions for Edwards' (1960) solution are met. More recently (on the assumption that Edwards' solution is the correct one), mathematical modelling has been used to study P (Brooks et al., 1991). This study suggests that P has a U-shaped distribution across time during the interval that zygotes are being formed in the pig. This is similar to that suggested in man by Guerrero (1974) and Harlap (1979). It will be interesting to see whether experimental confirmation in the pig can be found for this suggestion of Brooks et al. (1991). References Bernstein, M.E. (1952) The proportion of unisexual sibships. Hum. BioL, 24, 35-45. Bernstein, M.E. (1995) Genetic control of the secondary sex ratio. Hum. Reprod., 10, 2531-2533. Brewerton, D.A., Caffrey, M., Hart, F.D. et al (1973a) Ankylosing spondylitis and HL-A 27. Lancet, I, 904. Brewerton, D.A., Caffrey, M., Nicholls, A. et al. (1973b) Reiter's disease and HL-A 27. Lancet, H, 996-998. Brooks, RJ.. James, W.H. and Gray, E. (1991) Modelling sub-binomial variation in the frequency of sex combinations in litters of pigs. Biometrics, 47, 403-417. Calin, A., Garrett, S.L., Hirst, S. and Kennedy, L.G. (1993) A controlled prospective study of the sex ratios among relatives of patients with HLA related diseases: distinct patterns in ankylosing spondylitis and sero-negative rheumatoid arthritis. Br. J. RheumatoL, 32 (Suppl. 1), 63. Deighton, CM., Watson, M. and Walker, D J . (1993) Rheumatoid arthritis, sex ratio, HLA-DR and testosterone. Ann. Rheum. Dis., 52, 244. Edwards, A.W.F. (1958) An analysis of Geissler's datt on the human sex ratio. Ann. Hum. Genet., 23, 6-15. Edwards, A.W.F. (1960) The meaning of binomial distribution. Nature, 186, 1074. Gerencer, M., Taji<5, M., Kerhin-Brklja£ic\ V. and KaStelan, A. (1982) An association between serum testosterone level and HLA phenotype. Immunol. Lett, 4, 155-159. Gini, C. (1951) Combinations and sequences of sexes in human families and mammal utters. Acta Genet Stat. Med., 2, 220-244. Guerrero, R. (1974) Association of the type and time of insemination within the menstrual cycle with the human sex ratio at birm. N. EngL J. Med., 291, 1056-1059. Harlap, S, (1979) Gender of infants conceived on different days of the menstrual cycle. N. EngL J. Med., 300, 1445-1448. Ivinyi, P., Hampl, R., Starka, L. and Mickova, M. (1972) Genetic association between H-2 gene and testosterone metabolism in mice. Nature New BioL, 238, 281-282. James, W.H. (1975) The distribution of the combinations of the sexes in mammalian litters. Genet. Res., 26, 45-53. James, W.H. (1976) The combinations of the sexes in twin lambings. Genet. Res., 28, 277-280. James, W.R (1990) Reproductive stopping rules and Lexian variation between couples in the probability of producing a male infant: a comment on Yamaguchi (1989). Demography, 27, 653-655. James, W.H. (1991a) HLA markers, hormones and disease. /. Med. Genet., 28, 358-359. James, W.H. (1991b) Sex ratios and hormones in HLA related rheumatic diseases. Ann. Rheum. Dis., 50, 401^404. James, W.H. (1994) Cycle day of insemination, sex ratio of offspring and duration of gestation. Ann. Hum. BioL, 21, 263—266. James, W.H. (1995) Follicular phase length, cycle day of conception and sex ratio of offspring. Hum. Reprod., 10, 2529-2531. James, WJL (1996) The evidence that mammalian sex ratios at birth are partialry controlled by parental hormone levels at the time of conception. J. Theor. BioL, in press 940 Oilier, W., Spector, T., Silman, A. et al. (1989) Are certain HLA haplotypes responsible for low testosterone levels in males? Disease Markers, 7, 139-143. Ploski, R., Kvien, T, Vinje, O. el al. (1994) Altered sex ratio of siblings of patients with rheumatic diseases. (Abstract). Arthritis Rheum., 37 (Suppl.), S303.
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