The Lance-tailed Manakin exhibits the unusual trait of cooperative male displays on leks. Males cooperate in pairs to display for females, with one of the males being 'alpha' and continuuing the display on to copulation. To help examine the evolution of this mating system, DuVal characterized by components the behavioral and vocalization components of the manakin's display.
Another prominent example of component-level analysis of complex displays has recently been published by Ed Scholes, who has filmed the displays of many species of Birds-of-Paradise. DuVal's analysis complements her work on understanding why the helper males cooperate when they don't sire young. See her recent American Naturalist paper for more information.
Emily H. DuVal. 2007. Adaptive advantages of cooperative courtship for subordinate male lance-tailed manakins. American Naturalist. 169: 423-432. April 2007.
Emily H. DuVal. 2007. Cooperative display and lekking behavior of the Lance-tailed Manakin (Chiroxiphia lanceolata). The Auk 124(4): 1168-1185. October 2007. (Abstract)