Puberty isn't a green flag for a civilized race, that's how animals function. Boys and girls during the early half of their teens are far from mentally ready to deal with the consequences of intercourse, so they are better off abstaining. This is intended as a relative period of innocence (not virginity, as kids exploring eachother's bodies is a different subject) and thus the age of consent was formed.
I will not point to the age of consent because it is very low in many countries, but rather the contrasting mentalities. You, a pedophile, will look at a young 0-16 year old girl and lust after her - a woman who has not fully developed or is mentally ready for sex. Whether or not you act on this is the difference between a pedophile and a sexual deviant, but the former is typically the precursor for the latter. We, society, forbid pedophilia like yours because it serves no productive purpose and is borderline malicious.
Lastly, a minor footnote, your kind of mentality is the reason why there is child pornography on the internet.