Here we test the hypothesis that high-altitude native resident Tibetan women with genotypes for high oxygen saturation of hemoglobin, and thus less physiological hypoxic stress, have higher Darwinian fitness than women with low oxygen saturation genotypes. Oxygen saturation and genealogical data were collected from residents of 905 households in 14 villages at altitudes of 3,800 -4,200 m in the Tibet Autonomous Region along with fertility histories from 1,749 women. Segregation analysis confirmed a major gene locus with an autosomal dominant mode of inheritance for high oxygen saturation levels, associated with a 10% higher mean. Oxygen saturation genotypic probability estimators were then used to calculate the effect of the inferred oxygen saturation locus on measures of fertility, in a subsample of 691 women (20 -59 years of age and still married to their first husbands, those with the highest exposure to the risk of pregnancy). The genotypic probability estimators were not significantly associated with the number of pregnancies or live births. The high oxygen saturation genotypic mean offspring mortality was significantly lower, at 0.48 deaths compared with 2.53 for the low oxygen saturation homozygote, because of lower infant mortality. Tibetan women with a high likelihood of possessing one to two alleles for high oxygen saturation had more surviving children. These findings suggest that high-altitude hypoxia is acting as an agent of natural selection on the locus for oxygen saturation of hemoglobin by the mechanism of higher infant survival of Tibetan women with high oxygen saturation genotypes.H igh-altitude native populations are exposed to lifelong ambient hypoxia that stresses the oxygen delivery system and elicits adaptations. The genetic bases and thus the evolutionary interpretation of the adaptive traits of high-altitude populations are generally unknown, with the exception of oxygen saturation of hemoglobin among high-altitude native Tibetans. Tibetans at a given high altitude vary widely in percent oxygen saturation of hemoglobin despite uniform ambient hypoxic stress. A putative major gene (an inferred locus) with a recognizable quantitative effect having an autosomal dominant mode of inheritance that is associated with Ϸ6% higher oxygen saturation has been detected in two areas of the Tibet Autonomous Region (1, 2). The high oxygen saturation genotypes may have greater Darwinian fitness because they are less physiologically stressed, in the sense of having higher arterial oxygen content and less departure from the internal milieu that evolved at sea level. Here, we test the hypotheses that Tibetan women with high oxygen saturation genotypes have higher fertility or lower offspring mortality than women with low oxygen saturation genotypes. Because the oxygen saturation locus is unknown, the approach is to assign to each person genotypic probability estimators for oxygen saturation, and therefore calculate genotypic mean values of demographic traits. 3 for details of data collection in 13 villages...