Over production of red cells is most definitely one of the causes of gout and quiet possibly the only reason you may be experiencing gout.
When you produce more red blood cells, more red blood cells will go through their usual lifecycle. Once they complete their lifecycle they are recycled and uric acid is released from them (the dead cells). If you have a high rate of production, naturally you will have a higher rate of cell turnover and this itself will cause uric acid to rise.
Do you have your Full Blood Count results to hand? More specifically your haemoglobin as this is a good indication as to why you may be over producing red cells. Check to see if you have your bilirubin results too.
In any case let us know what your haematologist says.