predominate, dominate, rule, reign, prevail -- (be larger in number, quantity, power, status or importance; "Money reigns supreme here"; "Hispanics predominate in this neighborhood")
dominate -- (be in control; "Her husband completely dominates her")
dominate, master -- (have dominance or the power to defeat over; "Her pain completely mastered her"; "The methods can master the problems")
overshadow, dominate, eclipse -- (be greater in significance than; "the tragedy overshadowed the couple's happiness")