The demise of the Homo Sapiens, own fault or not?

Sunday morning (5 Nov), Krist Vaesen was interviewed in the OVT program on Dutch national radio. He talked about the demise of the Neanderthals, a topic that leads to much discussion among archaeologists. Is Homo Sapiens guilty of their own demise, or not?
New research that appeared last week shows that they simply disappeared from the earth.

Listen to the fragment (in Dutch) here.