It appears that anaemia is a factor of risk of progression of the chronic nephropathies. To slow down the progression of the chronic dysfunction of the graft is an important challenge because of shortage of graft and impossibility, in the current state of the French centers of renal transplantation to carry out the number of necessary grafts to provide for the current waiting list. Our hypothesis, if it is checked, should make it possible to very appreciably improve the quality of life of the transplanted patients and to slow down the progression of their IRC, thus delaying the duration before return in dialysis.