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Peer-reviewedCC BY 4.0The Astrophysical Journal

Quantifying the Dominance and Emergence of Brightest Cluster Galaxies in SPT and Planck Clusters: A Novel Application of the Gini Index

1 more authors
13 affiliations
  1. 1Massachusetts Institute of Technology
  2. 2MIT Kavli Institute for Astrophysics and Space Research
  3. 3University of Washington
  4. 4University of Chicago
  5. 5European Southern Observatory
  6. 6High-Energy Physics Division
  7. 7University of Portsmouth
  8. 8University of Cincinnati
  9. 9Universität Innsbruck
  10. 10University of Arkansas
  11. 11INAF–Astronomical Observatory of Trieste
  12. 12IFPU–Institute for Fundamental Physics of the Universe
  13. 13Chulalongkorn University

Abstract

We introduce the Gini index ( G ) as a metric for studying the emergence of brightest cluster galaxies (BCGs) by quantifying the disparity in the light distribution of galaxy cluster cores. The Gini index collapses the skewness of the bright-end luminosity function to a single statistic, and provides a measure for the light dominance of the BCG over other cluster members that is more robust than the magnitude gap. We argue that the Gini index is far less sensitive to short-term changes in the cluster dynamical state than the magnitude gap and solves its known degeneracies by taking the entire cluster membership into account, making G a more sensitive metric to long-term BCG assembly. We apply the magnitude gap and Gini index to a progenitor-selected sample of 92 South Pole Telescope- and Planck-selected cluster cores at 0 < z < 1 with corresponding Hubble Space Telescope F110W and F200LP and Sloan Digital Sky Survey g and r photometry. Based on both parametric and empirical tests, we find no statistical evidence for evolution in G or M 1,2 over 0 < z < 1, and find that BCGs have not grown significantly (2×) faster than the cluster population for z < 1 at 3 σ confidence. This implies that BCGs achieve dominance and establish defining properties early ( z > 1) in massive clusters. In general, we find that the Gini index is a valuable and relatively straightforward measurement, with well-controlled systematics, that could be applied to much larger samples to study BCG dominance and emergence.

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BibTeX
@article{fosdick2026quantifying,
  title = {{Quantifying the Dominance and Emergence of Brightest Cluster Galaxies in SPT and Planck Clusters: A Novel Application of the Gini Index}},
  author = {Katiya Fosdick and Michael McDonald and Gourav Khullar and Michael D. Gladders and Boris Häußler and Cian Roche and Lindsey E. Bleem and Benjamin Floyd and Raven Gassis and Sebastian Grandis and Arnab Sarkar and Veronica Strazzullo and Taweewat Somboonpanyakul},
  journal = {The Astrophysical Journal},
  year = {2026},
  month = nov,
  doi = {10.3847/1538-4357/aea69f},
  url = {https://iopscience.iop.org/article/10.3847/1538-4357/aea69f},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Quantifying the Dominance and Emergence of Brightest Cluster Galaxies in SPT and Planck Clusters: A Novel Application of the Gini Index
AU  - Katiya Fosdick
AU  - Michael McDonald
AU  - Gourav Khullar
AU  - Michael D. Gladders
AU  - Boris Häußler
AU  - Cian Roche
AU  - Lindsey E. Bleem
AU  - Benjamin Floyd
AU  - Raven Gassis
AU  - Sebastian Grandis
AU  - Arnab Sarkar
AU  - Veronica Strazzullo
AU  - Taweewat Somboonpanyakul
PY  - 2026
DA  - 2026/11/02
JO  - The Astrophysical Journal
DO  - 10.3847/1538-4357/aea69f
UR  - https://iopscience.iop.org/article/10.3847/1538-4357/aea69f
AB  - We introduce the Gini index ( G ) as a metric for studying the emergence of brightest cluster galaxies (BCGs) by quantifying the disparity in the light distribution of galaxy cluster cores. The Gini index collapses the skewness of the bright-end luminosity function to a single statistic, and provides a measure for the light dominance of the BCG over other cluster members that is more robust than the magnitude gap. We argue that the Gini index is far less sensitive to short-term changes in the cluster dynamical state than the magnitude gap and solves its known degeneracies by taking the entire cluster membership into account, making G a more sensitive metric to long-term BCG assembly. We apply the magnitude gap and Gini index to a progenitor-selected sample of 92 South Pole Telescope- and Planck-selected cluster cores at 0 < z < 1 with corresponding Hubble Space Telescope F110W and F200LP and Sloan Digital Sky Survey g and r photometry. Based on both parametric and empirical tests, we find no statistical evidence for evolution in G or M 1,2 over 0 < z < 1, and find that BCGs have not grown significantly (2×) faster than the cluster population for z < 1 at 3 σ confidence. This implies that BCGs achieve dominance and establish defining properties early ( z > 1) in massive clusters. In general, we find that the Gini index is a valuable and relatively straightforward measurement, with well-controlled systematics, that could be applied to much larger samples to study BCG dominance and emergence.
SN  - 1538-4357
SN  - 0004-637X
ER  -