The Collaborative International Dictionary of English v.0.48:

Predominance \Pre*dom"i*nance\, n. [Cf. F. pr['e]dominance.]
   1. The quality or state of being predominant; superiority;
      ascendency; prevalence; predomination.
      [1913 Webster]

            The predominance of conscience over interest.
                                                  --South.
      [1913 Webster]

   2. (Astrol.) The superior influence of a planet. --Shak.
      [1913 Webster]

WordNet (r) 3.0 (2006):

predominance
    n 1: the state of being predominant over others [syn:
         predominance, predomination, prepotency]
    2: the quality of being more noticeable than anything else; "the
       predomination of blues gave the painting a quiet tone" [syn:
       predomination, predominance]