  In this paper we give concrete estimations for the pseudo symplectic
capacities of toric manifolds in combinatorial data. Some examples are given to
show that our estimates can compute their pseudo symplectic capacities. As
applications we also estimate the symplectic capacities of the polygon spaces.
Other related results are impacts of symplectic blow-up on symplectic
capacities, symplectic packings in symplectic toric manifolds, the Seshadri
constant of an ample line bundle on toric manifolds, and symplectic capacities
of symplectic manifolds with $S^1$-action.
