A good starting point is the study in KI (1998) by the group from Udine (Itay): "Persistent secondary hyperparathyroidism after renal transplantation" full text available at: http://www.nature.com/ki/journal/v54/n5/full/4495368a.html
They found that:
(i) the severity of pre-existing secondary hyperparathyroidism is the main factor determining its persistence after renal transplantation,
(ii) persistent secondary hyperparathyroidism is characterized by an autonomous pattern of PTH secretion, and
(iii) the VDR BB genotype seems to be related to lower PTH levels.
A more recent report (2012) from the group at Cordoba (Argentina) in World Journal of Transplanation "New options for the management of hyperparathyroidism after renal transplantation" addresses this question but includes useful clinical management. Full text available at:
http://www.wjgnet.com/2220-3230/full/v2/i3/41.htm
Finally, the group from Shiraz (Iran) reached similar conclusions in their prospective study (2009) "Risk factors of post renal transplant hyperparathyroidism" in Saudi J of Kidney Dis and Transplantation full text at:
"In conclusion, spontaneous resolution of secondary hyperparathyroidism occurred in the majority of our post transplant patients. Age and duration of pretransplant dialysis was found to be a risk factor for post transplant hypercalcemia and hyperparathyroidism. Early transplantation strategy along with proper attention to the levels of calcium, phosphate and PTH may prevent persistent hyperparathyroidism post transplantation."