dearth vs more … than one can shake a stick at

dearth

noun
  • A period or condition when food is rare and hence expensive; famine. 

  • Scarcity; a lack or short supply. 

more … than one can shake a stick at

How often have the words dearth and more … than one can shake a stick at occurred in a corpus of books? (source: Google Ngram Viewer )