Thanks jeffreyn.
It seems that variations in the copy number of the SNCA gene (and other genes) can be risk factors for both familial and sporadic PD (
Copy number variability in Parkinson’s disease: assembling the puzzle through a systems biology approach).
The evidence for point mutations in the SNCA gene is less clear. The way to do this is a Genome Wide Association Study (GWAS). In this context a GWAS means recruiting a lot of people with PD and compare them with matched people without a PD Dx.
The only GWAS that I can find suggests that SNCA mutations can be risk factors but these are rare, occurring in about 2% of people with sporadic PD (
Resequencing analysis of five Mendelian genes and the top genes from genome-wide association studies in Parkinson’s Disease).