  We continue to explore the numerical nature of the Okounkov bodies focusing
on the local behaviors near given points. More precisely, we show that the set
of Okounkov bodies of a pseudoeffective divisor with respect to admissible
flags centered at a fixed point determines the local numerical equivalence
class of divisors which is defined in terms of refined divisorial Zariski
decompositions. Our results extend Ro\'{e}'s work on surfaces to higher
dimensional varieties although our proof is essentially different in nature.
