My sites are mostly seasonal, and tend to get a ton of links in a very short window. I make no attempt to influence anchor text (and in fact a bunch of them are just "click here" type links) Google seems to be pretty good at figuring this out (so far - we'll see what happens this year) the links tend to be from tourism blogs, municipal government sites and local TV station and newspaper websites. Some of them disappear after a month, and some of them stick around forever, long after the freshness of the page (and the relevance) has expired.
As I said, so far, Google seems to consider that "natural linking" at least I've not been dinged for it so far. My republishing policy does say that anyone can use my content as long as they source it back to me and that a link is preferred, but not required. Obviously that sort of thing isn't going to work for everybody.