Which preposition to use with transmissibility

of Occurrences 2%

Moreover, while the Darwinian theory of natural selection, supplemented as it was by the adoption of the Lamarkian factors,the effect of use and disuse and the assumed transmissibility of acquired character,merely attempted to explain the mode in which the changes in organic life have taken place upon the earth, the evolutionary hypothesis put forth by Mr. Spencer professed to be applicable to the whole sphere of the knowable.

Which preposition to use with  transmissibility