Currently there are no polar bears in Antarctica, unless you read some of the environmental protection plans put out by the oil companies, which among other things stated that a large oil spill in the Gulf of Mexico would not be expected to harm the resident walrus population. There are of course no resident walruses in the Gulf of Mexico and for those in the Arctic to be harmed by a spill in the Gulf it would have to be a truly massive spill, as it would have to work its way up the Atlantic seaboard to Baffin Island and beyond. The BP environmental protection plan may or may not have mentioned polar bears.