The group in an experiment that all the conditions stay the same is the control group.
Living things go in both
Tiger goes in consumer
Plants goes in producer
Plants use carbon to live, just like humans use oxygen. It's a virtuous cycle sine humans breathe oxygen and expel carbon, and plants "breathe" carbon and expel oxygen.
If plants weren't there to "breathe" the carbon, it would just sit in the world, and build up in the atmosphere
it would have to deal with the environment around the frogs there would be something killing em off or they dont have enough food at there location