Impact of Baseline, Cadence, and Host Contamination on AGN Variability Metrics: A Systematic Study with ZTF

Variability in active galactic nuclei (AGN) probes the physics of accretion onto supermassive black holes. This variability is characterized using metrics derived from the flux distributions of temporally separated epochs. We studied the stability of two variability metrics, the Stetson index “J” and the smoothness “s”, against baseline, cadence, and host galaxy contamination. We studied 23 nearby AGNs using Zwicky Transient Facility’s Data Release 24. Both metrics are robust to baseline variations of $\sim 2$ years. However, s is sensitive to cadence, showing variations $\gtrsim 40\mathrm{\%}$, while J shows minor variations $\lesssim 10\mathrm{\%}$. We studied the host galaxy impact using Mrk 493 as a representative case. We found that J remains unchanged after host subtraction, while s increases. We concluded that J is a robust tool for characterizing AGN variability, while s should be interpreted with caution.