For interested parties, the American Journal of Physical Anthropology has an excellent symposium issue called Race Reconciled on this (May 2009).

It gets kind of deep in the weeds but it covers the discussion between forensic anthropologists (who make racial identification of remains) and biological anthropologists (who concern themselves with more general questions) on the topic quite well.

Essentially most professionals agree that race isn't a particularly useful classification scheme and that it is a cultural construct rather than a biological one.