Which preposition to use with dispersal

of Occurrences 20%

This acted as a signal for the general dispersal of the whole hairy tribe, though the birds seemed willing to wait further developments, music being naturally more in their line.

by Occurrences 1%

But it was equally evident that neither the action of the surrounding conditions nor the will of the organisms (especially in the case of plants) could account for the innumerable cases in which organisms of every kind are beautifully adapted to their habits of lifefor instance, a woodpecker or a tree-frog to climb trees, or a seed for dispersal by hooks or plumes.

to Occurrences 1%

There had been, soon after the Emperor's conversion, a great access of other converts, accompanied by a dispersal to other countries, notably America, of innumerable people of the lower classes who were known as Socialists.

with Occurrences 1%

" Kent faced about and joined the townward dispersal with his informant.

Which preposition to use with  dispersal