1 INTRODUCTION  
2 DES Y3 DATA  
2.1 Wide-Field Data  
2.2 RedMaPPer Cluster Catalog  
2.3 Deep-Field Data  
3 STATISTICAL MODEL  
3.1 Analysis Choices  
3.2 Data Preparation  
3.3 Kernel Density Representation of Survey Data  
3.4 Cluster and Field Population Estimates  
3.5 Survey Depth and Feature Extrapolation  
3.6 Rejection Sampling  
4 MODEL RESULTS  
4.1 Input Feature KDEs  
4.2 Cluster Member Feature Distributions  
5 SYNTHETIC OBSERVATIONS  
5.1 Random Draws of Galaxy Populations  
5.2 Cluster Lens Model and Galaxy Shapes  
5.3 BCG and Intra-Cluster Light Model  
5.4 Survey-like Images  
6 SUMMARY AND CONCLUSIONS  
6.1 Method Overview  
6.2 Future Outlook