Copacabana: a probabilistic membership assignment method for galaxy clusters
ABSTRACT Cosmological analyses using galaxy clusters in optical/near-infrared photometric surveys require robust characterization of their galaxy content. Precisely determining which galaxies belong to a cluster is crucial. In this paper, we present the COlor Probabilistic Assignment of Clusters And BAyesiaN Analysis (Copacabana) algorithm. Copacabana computes membership probabilities for all galaxies within an aperture centred on the cluster using photometric redshifts, colours, and projected radial probability density functions. We use simulations to validate Copacabana and we show that it achieves up to 89 per cent membership accuracy with a mild dependence on photometric redshift uncertainties and choice of aperture size. We find that the precision of the photometric redshifts has the largest impact on the determination of the membership probabilities followed by the choice of the cluster aperture size. We also quantify how much these uncertainties in the membership probabilities affect the stellar mass–cluster mass scaling relation, a relation that directly impacts cosmology. Using the sum of the stellar masses weighted by membership probabilities ($\rm \mu _{\star }$) as the observable, we find that Copacabana can reach an accuracy of 0.06 dex in the measurement of the scaling relation at low redshift for a Legacy Survey of Space and Time type survey. These results indicate the potential of Copacabana and $\rm \mu _{\star }$ to be used in cosmological analyses of optically selected clusters in the future.
Authors
- A. Pieres
- S. Everett (ORCID: https://orcid.org/0000-0002-3745-2882)
- D.L Hollowood
- S. R. Hinton (ORCID: https://orcid.org/0000-0003-2071-9349)
- J. Carretero (ORCID: https://orcid.org/0000-0002-3130-0204)
- S. Bocquet (ORCID: https://orcid.org/0000-0002-4900-805X)
- L. N. da Costa (ORCID: https://orcid.org/0000-0002-7731-277X)
- D. Gruen (ORCID: https://orcid.org/0000-0003-3270-7644)
- A. A. Plazas (ORCID: https://orcid.org/0000-0002-2598-0514)
- E. Suchyta (ORCID: https://orcid.org/0000-0002-7047-9358)
- J. Myles
- O. Alves (ORCID: https://orcid.org/0000-0002-7394-9466)
- P. Wiseman (ORCID: https://orcid.org/0000-0002-3073-1512)
- Brian Welch (ORCID: https://orcid.org/0000-0003-1815-0114)
- K Honscheid
- D. J. James (ORCID: https://orcid.org/0000-0001-5160-4486)
- Johnny H. Esteves (ORCID: https://orcid.org/0000-0003-4373-2386)
- A. Palmese (ORCID: https://orcid.org/0000-0002-6011-0530)
- D. Sanchez Cid (ORCID: https://orcid.org/0000-0003-3054-7907)
- Eusebio Sanchez (ORCID: https://orcid.org/0000-0002-9646-8198)
- J. Mena-Fernández (ORCID: https://orcid.org/0000-0001-9497-7266)
- A. Carnero Rosell (ORCID: https://orcid.org/0000-0003-3044-5150)
- M. Soares-Santos (ORCID: https://orcid.org/0000-0001-6082-8529)
- David Bacon (ORCID: https://orcid.org/0000-0002-2562-8537)
- C. P. Gutiérrez (ORCID: https://orcid.org/0000-0003-2375-2064)
- R A Gruendl
- Arya Farahi (ORCID: https://orcid.org/0000-0003-0777-4618)
- R. L. C. Ogando (ORCID: https://orcid.org/0000-0003-2120-1154)
- M. Lima (ORCID: https://orcid.org/0000-0002-4719-3781)
- M. E. S. Pereira (ORCID: https://orcid.org/0000-0002-7131-7684)
- Christopher E. Lidman (ORCID: https://orcid.org/0000-0003-1731-0497)
- F. Andrade-Oliveira (ORCID: https://orcid.org/0000-0003-0171-6900)
- M. Aguena (ORCID: https://orcid.org/0000-0001-5679-6747)
- M. Costanzi (ORCID: https://orcid.org/0000-0001-8158-1449)
- M. Yamamoto (ORCID: https://orcid.org/0000-0003-1585-997X)
- H. Lin (ORCID: https://orcid.org/0000-0002-7825-3206)
- B. X. Santiago (ORCID: https://orcid.org/0000-0001-7692-8495)
- I Sevilla-Noarbe
- J Frieman
- D Brooks
- K Kuehn
- P. Doel
- J. Annis (ORCID: https://orcid.org/0000-0002-0609-3987)
- M. C. Smith (ORCID: https://orcid.org/0000-0002-7107-0079)
- M E C Swanson
- R. Miquel
- M. Schubnell
- A. K. Romer
- N. Weaverdyck
- J García-Bellido
- B. Flaugher
- J. L. Marshall
- J. De Vicente (ORCID: https://orcid.org/0009-0007-5271-8072)
- H-Y Wu
Institutions
- Australian National University (AU)
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Boise State University (US)
- Oak Ridge National Laboratory (US)
- Universidade Federal do Rio Grande do Sul (BR)
- Goddard Space Flight Center (US)
- Fermi National Accelerator Laboratory (US)
- Jet Propulsion Laboratory (US)
- Harvard University (US)
- University of Trieste (IT)
- Lawrence Berkeley National Laboratory (US)
- University of Illinois Urbana-Champaign (US)
- Universidad de La Laguna (ES)
- Universität Hamburg (DE)
- University of Sussex (GB)
- The University of Queensland (AU)
- Duke University (US)
- Universidade de São Paulo (BR)
- University of California, Santa Cruz (US)
- Institute for High Energy Physics (ES)
- Princeton University (US)
- University of Zurich (CH)
- University of Michigan (US)
- Lowell Observatory (US)
- Trieste Astronomical Observatory (IT)
- Mitchell Institute (US)
- SLAC National Accelerator Laboratory (US)
- Australian Astronomical Observatory (AU)
- University of Chicago (US)
- Valongo Observatory (BR)
- Kavli Institute for Particle Astrophysics and Cosmology (US)
- Center for Astrophysics Harvard & Smithsonian (US)
- National Observatory (BR)
- Instituto de Astrofísica de Canarias (ES)
- National Center for Supercomputing Applications (US)
- Laboratoire de Physique Subatomique et de Cosmologie (FR)
- Laboratório Interinstitucional de e-Astronomia (BR)
- Institute for Fundamental Physics of the Universe (IT)
- Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (ES)
- University of Southampton (GB)
- Institute of Science and Technology
- University College London (GB)
- The Ohio State University (US)
- University of Portsmouth (GB)
- Universidad Autónoma de Madrid (ES)
- University of Maryland, College Park (US)
- Carnegie Mellon University (US)
- Ludwig-Maximilians-Universität München (DE)
- The University of Texas at Austin (US)
- Texas A&M University (US)
- Stanford University (US)
- Macquarie University (AU)
Publication Details
- Journal
- Monthly Notices of the Royal Astronomical Society
- Published
- 2024-11-26
- DOI
- https://doi.org/10.1093/mnras/stae2593
- Citations
- 1
- Primary Topic
- Galaxies: Formation, Evolution, Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.33
Funders
- National Science Foundation
- U.S. Department of Energy
- Stanford University
- University of California
- University of Pennsylvania
- Ohio State University
- University of Chicago
- University of Michigan
- Texas A and M University
- University of Portsmouth
- University of Illinois System
- Centres de Recerca de Catalunya
- National Energy Research Scientific Computing Center
- University of Cambridge
- University College London
- European Commission
- University of Nottingham
- University of Sussex
- University of Edinburgh
- Deutsche Forschungsgemeinschaft
- Generalitat de Catalunya
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Financiadora de Estudos e Projetos
- Ministerio de Ciencia e Innovación
- Institut de Física d'Altes Energies
- University of Illinois at Urbana-Champaign
- Office of Science
- Science and Technology Facilities Council
- European Regional Development Fund
- High Energy Physics
- Integrated Electronics Engineering Center, Binghamton University
- Argonne National Laboratory
- Fermilab
- Lawrence Berkeley National Laboratory
- SLAC National Accelerator Laboratory