What is the Relationship between Head Grade and Mineral Liberation

What is the Relationship between Head Grade and Mineral Liberation

Some plant operators claim their metallurgical recovery targets are harder, more difficult, to meet as head grades drops down.  Is it true or is it just voodoo?  Using Mineralogy can answer this question scientifically.

Relationship between Head Grade and Mineral Liberation EXAMPLE
The red/white dot points to the actual monthly liberation of 42% VS history.  The poorly monthly results can be better understood as better results will be obtained at +50% liberation.
Grind Size VS Liberation