Comparative performance of selected variability detection techniques in photometric time series

TL;DR

This study evaluates 18 statistical methods for detecting variability in photometric time series, identifying effective combinations that recover a wide range of variability types across diverse observational data.

Contribution

The paper introduces a combination of two indices, IQR and 1/h, for broad variability detection, and demonstrates their effectiveness across multiple datasets and conditions.

Findings

Identified a combination of IQR and 1/h indices as effective for variability detection.

Discovered 124 new variable stars in the test datasets.

Proposed a method combining multiple indices via principal component analysis.

Abstract

Photometric measurements are prone to systematic errors presenting a challenge to low-amplitude variability detection. In search for a general-purpose variability detection technique able to recover a broad range of variability types including currently unknown ones, we test 18 statistical characteristics quantifying scatter and/or correlation between brightness measurements. We compare their performance in identifying variable objects in seven time series data sets obtained with telescopes ranging in size from a telephoto lens to 1m-class and probing variability on time-scales from minutes to decades. The test data sets together include lightcurves of 127539 objects, among them 1251 variable stars of various types and represent a range of observing conditions often found in ground-based variability surveys. The real data are complemented by simulations. We propose a combination of two indices that together recover a broad range of variability types from photometric data characterized by a wide variety of sampling patterns, photometric accuracies, and percentages of outlier measurements. The first index is the interquartile range (IQR) of magnitude measurements, sensitive to variability irrespective of a time-scale and resistant to outliers. It can be complemented by the ratio of the lightcurve variance to the mean square successive difference, 1/h, which is efficient in detecting variability on time-scales longer than the typical time interval between observations. Variable objects have larger 1/h and/or IQR values than non-variable objects of similar brightness. Another approach to variability detection is to combine many variability indices using principal component analysis. We present 124 previously unknown variable stars found in the test data.