Probability Friends-of-Friends (PFOF) Group Finder: Performance Study and Observational Data Applications on Photometric Surveys
Hung-Yu Jian, Lihwai Lin, Tzihong Chiueh, Kai-Yang Lin, Hauyu Baobab, Liu, Alex Merson, Carlton Baugh, Jia-Sheng Huang, Chin-Wei Chen, Sebastien, Foucaud, David N. A. Murphy, Shaun Cole, William Burgett, and Nick Kaiser

TL;DR
This study evaluates the performance of the PFOF group finder on photometric survey data using realistic mock catalogs and observational datasets, demonstrating its effectiveness across different photo-z accuracies and in matching X-ray clusters.
Contribution
The paper introduces a subset optimization method for PFOF, reducing model dependency and improving group identification in photometric surveys.
Findings
Group purity and completeness decrease with worse photo-z accuracy.
PFOF achieves ~85% match rate with X-ray clusters across a range of masses.
Broad agreement between mock-based and observational performance metrics.
Abstract
(Abridged) In tandem with observational datasets, we utilize realistic mock catalogs, based on a semi-analytic galaxy formation model, constructed specifically for Pan-STARRS1 Medium Deep Surveys in order to assess the performance of the Probability Friends-of-Friends (PFOF, Liu et al.) group finder, and aim to develop a grouping optimization method applicable to surveys like Pan-STARRS1. Producing mock PFOF group catalogs under a variety of photometric redshift accuracies ({\sigma}{\Delta}z/(1+zs)), we find that catalog purities and completenesses from ``good' {\sigma}{\Delta}z/(1+zs)) ~ 0.01) to ``poor' {\sigma}{\Delta}z/(1+zs)) ~ 0.07) photo-zs gradually degrade respectively from 77% and 70% to 52% and 47%. To avoid model dependency of the mock for use on observational data we apply a ``subset optimization' approach, using spectroscopic-redshift group data from the target field to…
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