IZI: Inferring the Gas Phase Metallicity (Z) and Ionization Parameter (q) of Ionized Nebulae using Bayesian Statistics
Guillermo A. Blanc (1), Lisa Kewley (2,3), Fr\'ed\'eric P.A. Vogt (2),, Michael A. Dopita (2,3,4) ((1) Carnegie Observatories, USA (2) ANU, Australia, (3) IfA Hawaii, USA (4) King Abdulaziz University, Saudi Arabia)

TL;DR
This paper introduces IZI, a Bayesian method for accurately inferring metallicity and ionization parameters of ionized nebulae from emission lines, improving consistency and flexibility over traditional diagnostics.
Contribution
The paper presents a novel Bayesian inference approach and a software tool for determining nebular physical conditions using arbitrary emission line sets and flux limits.
Findings
Bayesian method achieves ~30% agreement with recombination line abundances.
The approach is flexible and not tied to specific diagnostic calibrations.
Discrepancies between direct and RL abundance measurements are confirmed.
Abstract
We present a new method for inferring the metallicity (Z) and ionization parameter (q) of HII regions and star-forming galaxies using strong nebular emission lines (SEL). We use Bayesian inference to derive the joint and marginalized posterior probability density functions for Z and q given a set of observed line fluxes and an input photo-ionization model. Our approach allows the use of arbitrary sets of SELs and the inclusion of flux upper limits. The method provides a self-consistent way of determining the physical conditions of ionized nebulae that is not tied to the arbitrary choice of a particular SEL diagnostic and uses all the available information. Unlike theoretically calibrated SEL diagnostics the method is flexible and not tied to a particular photo-ionization model. We describe our algorithm, validate it against other methods, and present a tool that implements it called…
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