“…Information theory has been utilized by a number of studies looking at sequences of events (e.g., Shannon, 1948;Chatfield and Lemon, 1970;McCowan et al, 1999;Riesch et al, 2008), including the structure of humpback whale song (Suzuki et al, 2006;Miksis-Olds et al, 2008). Information theory investigates the degree of diversity and organizational structure in a sequence of events by quantifying the amount of entropy that is lost in a system through knowledge of repertoire diversity (zero-order approximation of entropy), the frequency of occurrence of all behaviors (e.g., words or calls) in a repertoire (first-order approximation of entropy), and the conditional probabilities for which behaviors are combined (second-, third-, fourth-order, etc., approximation of entropy or n À 1 order Markov chain) (Shannon, 1948).…”