backwoods vs forests

backwoods

adj
  • Rough, uncouth, coarse, or crude in social matters. 

  • Pertaining to the backwoods. 

noun
  • Partly or wholly uncleared forest, especially in North America. 

  • A remote or sparsely inhabited region, especially in North America; away from big towns and from the influence of modern life. 

forests

How often have the words backwoods and forests occurred in a corpus of books? (source: Google Ngram Viewer )