Abstract
The integrated light of a stellar population, measured through photometric
filters that are sensitive to the presence of young stars, is often used to
infer the star formation rate (SFR) for that population. However, these
techniques rely on an assumption that star formation is a continuous process,
whereas in reality stars form in discrete spatially- and temporally-correlated
structures. This discreteness causes the light output to undergo significant
time-dependent fluctuations, which, if not accounted for, introduce errors and
biases in the inferred SFRs. We use SLUG (a code that Stochastically Lights Up
Galaxies) to simulate galaxies undergoing stochastic star formation. We then
use these simulations to present a quantitative analysis of these effects and
provide tools for calculating probability distribution functions of SFRs given
a set of observations. We show that, depending on the SFR tracer used,
stochastic fluctuations can produce non-trivial errors at SFRs as high as 1
Msun/yr, and we suggest methods by which future analyses that rely on
integrated-light SFR indicators can properly account for stochastic effects. We
emphasize that due to the stochastic behavior of blue tracers of SFR, one
cannot assign a deterministic single value to the SFR of an individual galaxy.
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