There are two advantages:
People who started reading your blog recently would read your old articles if you regularly link to those good articles.
Second, search engines will crawl those links along with the keywords that you use to link them. That would signal Google search engine(search boot) to rank those articles to the keywords that you used to link them. and if those keywords are also found in the article content, it’ll treat the linking and the article as more genuine.
I have an old article about SEO on one of my other blogs. Now if I link them from here using some relevant keywords(relavent to that article), and then link that article, Google will think that the article is trust worth(because people are linking to it) and it will look at the keywords used inorder to link, that would ensure the relavency of the article. So, it’s good to link articles with proper keywords like Best SEO Tips. See the use of “Best SEO Tips” as keyword to link; instead of “click here” as a keyword. It makes a lot of difference over long term.
Our intention is not to trick Search Engines, but to help them crawl articles and organize them more efficiently.