Actually I did a bit of research on this subject last year, and there is a fair bit of evidence around to suggest a direct relationship between declining Mink and increasing Otters. Here's a little paragraph I wrote:
There is now a growing body of evidence which seems to provide a direct link between the decline of mink and recovery of otter. Between the NOS of 1977-79 and 2000-02, mink declined in 60% of surveyed areas, and both increased and remained stable in 19%, with missing data from one area. The same surveys showed that otters replaced mink on forty occasions, whereas the opposite was true on only seven. A significant correlation was also found between the sites that either gained or lost mink, and the density of otters in those sites. (Bonesi et al, 2006.) A separate study by MacDonald et al (2007) found a similar relationship, with a significant decrease in mink signs occurring at the same time as an even larger increase in otter signs. They postulate that the relationship is not a case of competition for food, as the two species’ diets don’t really overlap. Instead they suggest that “direct aggression” may be a plausible theory, as interspecific fighting and killing is known to be widespread, “particularly among mammalian carnivores”. Observations have been made of otters being aggressive towards mink, and mink fur has even been found in otter spraints. (Bonesi and Macdonald, 2004.)
And a recent paper attached for those interested.