PFOF) algorithm in [@lin14]. By taking advantage of the stacking technique plus background subtraction and removal of the field contamination, we obtain a finer correction for our stacked samples and thus more robust results than in our previous work. Dependencies of galaxy properties can therefore be probed in detail. In this work, we present our results on the SSFR, the quiescent fraction, and the environmental quenching efficiency as functions of $r_p$ in different stellar mass bins to uncover the underlying SSFR, $M_{*}$, and $r_p$ distribution of the group or/and cluster galaxies and to understand the possible mechanisms causing environmental quenching in groups or/and clusters. In addition, using the same PS1 MD galaxy catalogs, we also explore the color$-$density relation where the density is estimated following the $n$th-nearest-neighbor approach [e.g. @coo07], and direct comparisons are made between two different approaches to understand the separate contributions from the density and radial effect, respectively.

Our paper is organized as follows. In Section 2, we briefly describe the data. The analysis method is then illustrated in Section 3. In Section 4, we present the main results. Section 5 discusses the important implications of our results for understanding the evolution of galaxies. We adopt the 