There is some research which has found how people describe their past as a couple is correlated to their likelihood of staying together. People who recount their early years as a negative experience are more likely to divorce than couples who describe the early years as positive.
In this excellent blog posting Elizabeth Earnshaw writes that as she listens to couples tell her about how they met, she pays attention to how each person is telling the story, and she also pays attention to how their partner is reacting to the story. If both people are able to look back fondly at their early years, this tends to be a good sign. If people talk negatively about how they met, this tends to indicate that there are some major problems within the relationship.