Which preposition to use with durability

of Occurrences 28%

She was a younger sister of my mother's, and, notwithstanding some jealousies and a little coldness that I trust have now disappeared, I am of opinion she loved her; though one can hardly answer for the durability of the family ties in a country where the institutions and habits are as artificial as in England.

by Occurrences 1%

M. Cadet-de-Vaux found mortar of lime and sand, and also that made from clay, greatly improved in durability by mixing boiled potatoes with it.

in Occurrences 1%

Important movements have also occurred during the year to the effect of molding society for durability in the Union.

Which preposition to use with  durability