A comparison of Alzheimer’s prevalence across the world using 'age-standardized' data (which predict Alzheimer's rates if all countries had the same population birth rate, life expectancy and age structure) has found a strong correlation between national sanitation levels and Alzheimer's, with better hygiene associated with higher rates of Alzheimer’s.
This fits in with the idea that’s been floating around for a while, that over-sanitized environments reduce exposure to a diverse range of microorganisms, perhaps impairing proper development of the immune system. Hence, the rising incidence of allergies and auto-immune diseases in developed countries.
The study compared data from 192 countries. Higher rates of Alzheimer's were seen in countries with higher levels of sanitation, countries with much lower rates of infectious disease, and more urbanized countries. For example, UK and France have 9% higher Alzheimer's rates than Kenya and Cambodia; Switzerland and Iceland have 12% higher rates of Alzheimer's than China and Ghana; UK and Australia have 10% higher rates than Bangladesh and Nepal.
Differences in levels of sanitation, infectious disease and urbanization accounted respectively for 33%, 36% and 28% of the discrepancy in Alzheimer's rates between countries.
Previous research has shown that in the developed world, dementia rates doubled every 5.8 years compared with 6.7 years in low income, developing countries, and that Alzheimer's prevalence in Latin America, China and India are all lower than in Europe, and, within those regions, lower in rural compared with urban settings.
Having said all that, I would query the reliability of Alzheimer’s statistics from less developed countries. A recent study from China, for example, found dramatic under-reporting of Alzheimer’s. While this is certainly a plausible hypothesis, I think the wide variability in diagnosing Alzheimer’s stands in the way of this sort of comparison.
Full text freely available at http://emph.oxfordjournals.org/content/2013/1/173.full
 . Hygiene and the world distribution of Alzheimer’s disease Epidemiological evidence for a relationship between microbial environment and age-adjusted disease burden. Evolution, Medicine, and Public Health [Internet]. 2013 ;2013(1):173 - 186. Available from: http://emph.oxfordjournals.org/content/2013/1/173