One of the great mysteries of human evolution is why after four million years of brains getting bigger in the hominin line leading to humans, did they suddenly start to shrink sometime after modern humans colonized the World and replaced all rival homo species. While Lynn (1990) attributes this to malnutrition and disease caused by agriculture, others have argued it was a genetic change.

However Peter Frost argues that it might (at least in part) be a statistical artifact:

Perhaps smaller skulls are more likely to decompose faster. The skulls we unearth would therefore be a biased sample, and this bias toward preservation of larger skulls would gradually increase for skulls that have been in the ground longer.

The problem of “preservation bias” has already been noted with respect to female and infant remains

This makes perfect sense but how big is the effect and is there anyway to adjust for it? Frost points us to a paper by Walker et al. (1988) that describes a California cemetery for the mission’s Indian neophytes who died circa 1831. Although the mission records showed that 53% of the buried people were female, the skeletal record showed only 50% were. The inference to be drawn from this is that because females are smaller, they decompose faster.

Now imagine if we tried to estimate the average cranial capacity of the mission Indians from the skeletal record. Considering men have brains about 12% bigger than women do, such a decrease in the percentage of women alone would increase the mean cranial capacity of the entire sample by 0.34% in just the 157 years after death that the data was published. Assuming the process is linear, that leads to a 87% increase in 40,000 years. So instead of Cro-Maagnons having brains of 1498 cm3(80 cm3 bigger than the average American today), they’d have brains that averaged 1498 cm3/1.86 = 805 cm3

A more reasonable hypothesis is that instead of preservation bias inflating brain size estimates by 0.34% per 157 years, it inflates it by 0.34% per the natural logarithm of 157 years, so 5.06 log years. And if Cro-Magnons lived around 40,000 years ago, or 10.6 log years ago, this would make the 1498 cm3 brain size estimate for Cro Magnon 0.71% inflated, and thus the true value 1498 cm3/1.0071 = 1487 cm3. One should note that weighting the samples by sex will not entirely solve this problem because sex is simply being used here as a proxy for big vs small brains and for most skulls, the sex is probably not known, they just assume the bigger skulls are male.