Gist identification or coherent situation model construction performance is an important criterion not only in L1 and L2 reading comprehension assessment but also in every aspect of discourse processing. Whereas most previous L2 research has investigated schematic knowledge of readers about relations within a text, more recent studies have used models of comprehension that also pay attention to external reference and world knowledge. The present study proposes a way to assess gist identification by L2 readers using Hoey's (1991) theory of networks of repetition of lexical items including morphologically similar words and paraphrases of keywords containing the gist of a text. Based on Hoey's taxonomy, two models were tested. One, following Kintsch (e.g. 1998), assessed the ability to identify the gist of a text using minimal lookbacks. The other encouraged multiple lookbacks. The second model, which involved more reader involvement in finding referential relationships within a text, resulted in more detailed understanding of gist. (Contains 4 tables.)