deficit vs lack

deficit

noun
  • Deficiency in amount or quality; a falling short; lack. 

  • A situation wherein, or amount whereby, spending exceeds (e.g. government) revenue. 

lack

noun
  • A deficiency or need (of something desirable or necessary); an absence, want. 

verb
  • To be short (of or for something). 

  • To be without, not to have, to need, to require. 

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