How are Pig power levels determined?

Normally I play powerful birds in the regular team and currently level 41. Couple of weeks ago when I was around level 30 I decided to build up the Flocksburg Eagles (all 5 of them) with most of them in teens levels into the game. I still run into the power levels my regular flock see!!!! Question is: How does the game calculate the pig power levels you see in the non-Arena matches? Based on the current team or the potential team in your collection. Given what I saw there is little purpose to keep set like Flocksburg Eagles in the nest. Just keep the particular colors you need for the color specific dungeons. Either sell the rest or use them to level up the better birds.  
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