Iam trying to understand the structure of Moduli space of rank two parabolic bundles on $\mathbb{P}^1$, of degree zero or degree one, with weights $(\frac{1}{2},\frac{1}{2},...\frac{1}{2})$ at $n$ points, say $n$ is even. For very small weights, the moduli space is a GIT quotient $((\mathbb{P}^1)^n)^{ss}/SL_2$, by a paper of Moon-Yoo. Can the above half weight-case be written as an explicit blow-up , blow-down of the quotient $((\mathbb{P}^1)^n)^{ss}/SL_2$.