Euler characteristics of moduli spaces of curves

Let ${mathcal M}_g^n$ be the moduli space of n-pointed Riemann surfaces ofgenus g. Denote by ${\bar {\mathcal M}}_g^n$ the Deligne-Mumfordcompactification of ${mathcal M}_g^n$. In the present paper, we calculate theorbifold and the ordinary Euler characteristic of ${\bar {\mathcal M}}_g^n$ forany g and n such that n>2-2g.