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Thanks to recent advances in integral field spectroscopy (IFS), modernsurveys of nearby galaxies are capable of resolving metallicity maps of Hiiregions down to scales of ~50pc. However, statistical analysis of thesemetallicity maps has seldom gone beyond fitting basic linear regressions andcomparing parameters to global galaxy properties. In this paper (the first of aseries), we introduce techniques from spatial statistics that are well suitedfor detailed analysis of both small- and large-scale metallicity variationswithin the interstellar media (ISMs) of local galaxies. As a first application,we compare the observed structure of small-scale metallicity fluctuationswithin 7 local galaxies observed by the PHANGS collaboration to predictionsfrom a stochastic, physically motivated, analytical model developed by Krumholz& Ting. We show that while the theoretical model underestimates the amount ofcorrelated scatter in the galactic metallicity distributions by 3-4 orders ofmagnitude, it provides good estimates of the physical scale of metallicitycorrelations. We conclude that the ISM of local spiral galaxies is far fromhomogeneous, with regions of size ~1 kpc showing significant departures fromthe mean metallicity at each galactocentric radius.

monthly notices of the royal astronomical society

A geostatistical analysis of multiscale metallicity variations in  galaxies [I]: Introduction and comparison of high-resolution metallicity maps  to an analytic metal transport model