lack vs shortness

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. 

shortness

noun
  • The result or product of being short. 

  • The property of being short or terse. 

  • The property of being short, of being small of stature or brief. 

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