  We present a proof of a conjecture proposed by V. Delecroix, E. Goujard, P.
Zograf, and A. Zorich, which describes the large genus asymptotic behaviours of
the ratio of frequencies of separating over nonseparating simple closed
geodesics on a closed hyperbolic surface of genus $g$ with $n$ cusps. We
explicitly give the function $f(\frac{n}{g})$ in the conjecture. The moderate
behaviour of the frequencies with respect to the growth rate of the number of
cusps compared to that of the genus drastically contrasts with the behaviour of
other geometric quantities and exhibits the topological nature of the
frequencies.
