Abstract: In this talk, I will present a recent result regarding the volumes of foliations. We prove that for log canonical foliations which are birationally bounded by algebraically integrable families, the set of their volumes satisfies the DCC, answering a special case of a question posed by Cascini, Hacon, and Langer. As a key ingredient, I will discuss the deformation invariance of relative log canonical volumes for a family of weakly semistable morphisms, which can be viewed as a relative version of the result proved by Hacon, McKernan, and Xu.