Did all Non-Africans originate in Asia?

Historians state that around 400,000 BP (before present) homo sapiens (modern humans) evolved in Africa. "Slowly, over many millennia, Homo sapiens migrated out of Africa and into Europe and Asia. Unlike North and South America, Europe and Asia maintained there land connections to Africa. Throught time (25,000 bp) homo sapiens moved throughout Europe and Asia."* The need for food pushed these early explorers to new land. Between approx. 10,000 bp to 14,000 bp the Bering Strait provided a land connection (that is now underwater) to North America. This land connection was between Siberia (part of Asia) and Alaska (part of North America).