For info: Often when we reduce thrust on the 380 at thrust reduction altitude the power increases. This happens when we have used a high Flex Thrust setting on take off. For a full thrust take off (performance or contaminated runway) the thrust will be less at climb power.
To complicate the matter a little more there are four choices of Climb Thrust; Full, Derate 1, Derate 2 or Derate 3 depending on the take-off weight.
Hope this helps a little - at least as far as the 380 works
