  For the higher-dimensional topological dS spacetime with the non-linear
source, there are two horizons with different radiation temperatures. We can
regard this system as an ordinary thermodynamic system in the thermodynamic
equilibrium, which is of the thermaldynamic parameters
($T_{eff},~P_{eff},~V,~S,~\Phi_{eff}$). In this work, our focus is on the
thermodynamic properties of the phase transition for the four-dimensional dS
spacetime with different charge corrections $\bar\phi$. The critical
thermadynamic parameters are exhibited. We find there exists phase transition
in diagrames of $P_{eff}-V$ and $G_{T_{eff}}-P_{eff}$ nearby the critical
point. The isocratic heat capacity $C_{P_{eff}}$ has the schottky peak at the
critical point. These results are similar to that of AdS black hole. However,
it is unique the isobaric heat capacity $C_{V_{eff}}$ for the dS spacetime is
not zero. Furthermore, we also analyze the effect of the non-linear source on
the properies of the phase transtion for this system.
