Answer:
biocentric ; ecocentric
Explanation:
Biocentric philosophy focuses on the living element is the environment while the ecocentric philosophies believes and focuses on the entire ecosystem as a whole.
In the context, Jack believes in biocentric philosophy and thus disagrees for the killing of the deer that have overpopulated in the forest. While Jill is ecocenric and she considers the entire forest as the ecosystem and its survival. Thus Jill argues to kill some of the deer in order for the survival of the species as well the forest as a whole.