[verb (plain)] + 一方(で) [i-adj] + 一方(で) [na-adj] + な + 一方(で) [na-adj] + である + 一方(で) [noun] + である + 一方(で) [sentence]。一方(で)、[sentence]
一方で means "while", "on the other hand": it sets two things side by side that are both true – two sides of one thing, or two different things at the same time. It follows the plain form; a な-adjective keeps な or takes である, and a noun takes である.
A noun can't take の here.
一方で belongs to writing, the news and careful speech. In conversation, けど or でも does the contrasting.
At the start of a sentence, いっぽう一方で, そのいっぽう一方で or just いっぽう一方 picks up from the sentence before and turns to the other side. Mid-sentence, too, the で can drop.
After a verb of change, 一方で can be the mid-sentence form of いっぽう一方だ, "keeps getting…". If the second clause follows on from the first instead of contrasting with it, that is the pattern you are reading.