Do people with blue eyes reproduce more? I've not heard that before. I thought the ratio of blue to not blue eyes was due to the whole dominant/recessive gene thing (do I mean gene, or maybe allele? a long time since I learned this stuff at school).
Of course the trait was advantageous either in terms of natural selection, or more likely sexual selection. All the blue eyed people on earth can be traced back to a single ancestor living in the black sea region about 10,000 years ago. It is a recessive trait, but allele frequencies don't magically increase just because a trait is recessive. Without selection pressure, the ratio of blue eyed people would not have kept increasing after the emergence of the mutation.