Which preposition to use with eradication

of Occurrences 12%

Sanitary and hygienic apply to physical well-being as promoted by the eradication of the causes for sickness, disease, or the like; sanitary, however, is used of measures and conditions affecting people in general, whereas hygienic connects itself with personal habits.

at Occurrences 1%

This consideration gives the question some importance, and, as error is one of those plants which propagate themselves from the root, it is well to attempt its thorough eradication at the outset.

in Occurrences 1%

In September an Imperial decree was issued in China ordering the strict prohibition of the consumption and cultivation of opium, with a view to ultimate eradication in ten years.

Which preposition to use with  eradication