BMW 320i xDrive hesitancy under acceleration

I have a 2013 BMW 320i petrol xDrive manual, with 31,000 miles on the clock. I have had an ongoing issue with a hesitancy under acceleration. When the car is cold, and for the first couple of miles, the power is not seamless as though there is a misfire, a slight jerkiness.

After a couple of miles, there are no probelms. I had this investigated by my BMW dealer and they replaced the xDrive transfer box at considerable expense under warranty but the problem still persists, any ideas?

Asked on 8 February 2016 by RogerB

Answered by Honest John
The dealer obviously thought it was drivetrain related and went as far as to replace the transfer box. But I wonder if the problem is caused by a disparity in wear of the tyres. If the backs are worn down much more than the fronts it could confuse the 4WD system.
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