Chow group of 1-cycles of the moduli of parabolic bundles over a curve

We study the Chow group of 1-cycles of the moduli space of semistable parabolic vector bundles of fixed rank, determinant and a generic weight over a nonsingular projective curve over C of genus at least 3. We show that, the Chow group of 1-cycles remains isomorphic as we vary the generic weight. As a consequence, we can give an explicit description of the Chow group in the case of rank 2 and determinant O(x), where x is an element of X is a fixed point, which extends the earlier result of Choe and Hwang (Math. Z.253 (2006) 253-281, Main theorem).