Homo erectus lasted until about 70,000 years ago (to about the Toba event).
Homo neanderthalensis was around from 250,000 years ago, to maybe 30,000 years ago.
Archaic Homo sapiens sprung up, as you stated, about 200,000 years ago - with modern man firmly established about 60,000 years.
Why is the sapiens line the only human species left? Because we adapted to ongoing environmental change. After all, Homo sapiens means "smart guy" ;^)


Homo Sapiens ( Us Guys) have been around for 200,000 years. We are born and bred for the cooler climate.We need to provide for :the massive displacement of populations,increase of the most virulent diseases,loss of agricultural infrustructure,etc.... Refusing to believe that it's happening would be a very grave sin.
Before you mention our African origin,we evolved in the tropics of a cooler world.