In March 2014 the law changed to allow for same sex marriage. The result has been a 70% fall in the rate of civil partnerships from 2013 to 2014.
( Office for National Statistics ).
When these partnerships/marriages end they can raise exactly the same issues as on the termination of heterosexual relationships. Family mediation can often be helpful in these cases.
In 2014 there were 1061 civil partnerships dissolved which was 8.9% more than in 2013.
To divorce couples need to wait for at least a year after the marriage so it is early days to be looking at the statistics for the ending of same sex marriages.