I read the paper "Momentum has its moments" (Pedro Barroso and Pedro Santa-Clara, 2012 - available free from Nova Business School), though i didn't fully understand something important, when speaking about changing weights on the WML the authors speak about number that varies from 0.2 to 2, but since WML consist of long and short what these numbers mean for them? the long and short positions are always equal? this question is not just for this specific paper.. Thanks!
The paragraph before on page 115 states:
Scaling corresponds to having a weight in the long and short legs that is different from one and varies over time, but the strategy is still self-financing.
Meaning that the long and short positions are no longer equal due to weighting one side more highly than the other. The weighting of one side (either long or short) is the number between 0.2 and 2 that you mention.