Which preposition to use with barrenness

of Occurrences 70%

I remember the squirrels how they chattered, and chased each other up and down the trees, or leaped from branch to branch, gathering here and there a nut, and scudding away to their store houses in the hollow trees, providing in this season of plenty for the barrenness of the winter months.

by Occurrences 2%

He says the fertile district of Hybla was suddenly turned to barrenness by an eruption of lava, and soon after restored to fertility by a shower of ashes.

in Occurrences 2%

His compositions differ only terminorum positione from dreams; nothing but rude heaps of immaterial, incoherent, drossy, rubbishy stuff, promiscuously thrust up together; enough to infuse dulness and barrenness in conceit into him that is so prodigal of his ears as to give the hearing; enough to make a man's memory ache with suffering such dirty stuff cast into it.

to Occurrences 1%

The inert principles which, brought to act together; had produced this sudden change from barrenness to fertility, had probably been near neighbours to each other all that time, but had failed of bringing forth their fruits, for the want of absolute contact.

Which preposition to use with  barrenness