  Prokhorov and Shokurov introduced the famous effective adjunction conjecture,
also known as the effective base-point-freeness conjecture. This conjecture
asserts that the moduli component of an lc-trivial fibration is effectively
base-point-free. Li proposed a variation of this conjecture, which is known as
the $\Gamma$-effective adjunction conjecture, and proved that a weaker version
of his conjecture is implied by the original Prokhorov-Shokurov conjecture.
  In this paper, we establish the equivalence of Prokhorov-Shokurov's and Li's
effective adjunction conjectures. The key to our proof is the formulation of a
uniform rational polytope for canonical bundle formulas, which relies on recent
developments in the minimal model program theory of algebraically integrable
foliations by Ambro-Cascini-Shokurov-Spicer and Chen-Han-Liu-Xie.
