# Representative galaxy age-metallicity relationships

## TL;DR

This paper introduces a fast method for deriving approximate galaxy age-metallicity relationships from color-magnitude diagrams, enabling efficient analysis of large galaxy surveys.

## Contribution

The paper presents a quick-look approach to determine galaxy AMRs using representative ages and metallicities, reducing computational demands compared to traditional methods.

## Key findings

- Reliable down to >85% photometric completeness
- Accurately traces chemical evolution for stellar populations within 40% mass of the main population
- Effective across a wide range of galaxy star formation histories

## Abstract

The ongoing surveys of galaxies and those for the next generation of telescopes will demand the execution of high-CPU consuming machine codes for recovering detailed star formation histories (SFHs) and hence age-metallicity relationships (AMRs). We present here an expeditive method which provides quick-look AMRs on the basis of representative ages and metallicities obtained from colour-magnitude diagram (CMD) analyses. We have tested its perfomance by generating synthetic CMDs for a wide variety of galaxy SFHs. The representative AMRs turn out to be reliable down to a magnitude limit with a photometric completeness factor higher than $\sim$ 85 per cent, and trace the chemical evolution history for any stellar population (represented by a mean age and an intrinsic age spread) with a total mass within ~ 40 per cent of the more massive stellar population in the galaxy.