Time evolution of the planet population in the cluster. The top panels illustrate the evolutionary trends of CJ-hosting and non-CJ low-mass systems (<0.2 M_⊙), while the lower panels focus on high-mass systems (>0.8 M_⊙). The total number of low-mass (<0.2 M_⊙) and high-mass (>0.8 M_⊙) systems is depicted with blue solid lines in the left panels. Additionally, the left panels display the number of CJ-hosting systems (orange solid line) and the fraction of CJ-hosting systems (blue dashed line). In the right panels, we compare the system-averaged EPE experienced by non-CJ systems (blue line) and CJ-hosting systems (orange line) just before their CJs are formed.