Domesday Population Density matched with Norman and Anglo-Saxon Forests

If you take the location of known Norman Forests such as the New Forest along with Anglo-Danish Forests created by Canute and Edward the Confessor along with ancient "Silva" forests like the Weald and Elmet along with Barnsdale and Sherwood which are Anglo-Saxon Danish names for Elmet then you can see a correlation between low population, low arable farm use and forestation.