I understand that it is easier to rank for a particular keyword given a higher DA score. How fast can  page authority be established and grown for a given keyword if DA is equal to 10/20/30/50? What are the relative measures that dictate the establishment and growth of this authority? Can it be enumerated to a percentage of domain links? or a percentage of domain links given an assumed C-Block ratio? For example you have a website with DA of 40, and you want to target a new keyword, the average PA of the top ranked pages is 30, the average domain links are 1,000, and the average number of linking domains is 250 - if you aim to build 1,000 links per month from 500 linking domains, how fast can you approximate the establishment of page authority for the keyword?