Seshadri constants of M‾0,n

Let ${\bar{M}}_{0,n}$ be the moduli space of stable rational n-pointed curves for $n\ge 5$. We estimate lower bounds for Seshadri constants of nef $Q$-line bundles at arbitrary points on ${\bar{M}}_{0,n}$ for $5\le n\le 7$. Our results for $n=5$ generalise some results of Taro Sano (2014). We also estimate lower bounds for Seshadri constants of nef Keel divisors at arbitrary points on ${\bar{M}}_{0,n}$ for $n\ge 8$, assuming a conjecture describing the Mori cone of ${\bar{M}}_{0,n}$.