Methods for Incorporating Model Uncertainty into Exoplanet Atmospheric Analysis
arxiv(2023)
摘要
A key goal of exoplanet spectroscopy is to measure atmospheric properties,
such as abundances of chemical species, in order to connect them to our
understanding of atmospheric physics and planet formation. In this new era of
high-quality JWST data, it is paramount that these measurement methods are
robust. When comparing atmospheric models to observations, multiple candidate
models may produce reasonable fits to the data. Typically, conclusions are
reached by selecting the best-performing model according to some metric. This
ignores model uncertainty in favour of specific model assumptions, potentially
leading to measured atmospheric properties that are overconfident and/or
incorrect. In this paper, we compare three ensemble methods for addressing
model uncertainty by combining posterior distributions from multiple analyses:
Bayesian model averaging, a variant of Bayesian model averaging using
leave-one-out predictive densities, and stacking of predictive distributions.
We demonstrate these methods by fitting the HST+Spitzer transmission spectrum
of the hot Jupiter HD 209458b using models with different cloud and haze
prescriptions. All of our ensemble methods lead to uncertainties on retrieved
parameters that are larger, but more realistic, and consistent with physical
and chemical expectations. Since they have not typically accounted for model
uncertainty, uncertainties of retrieved parameters from HST spectra have likely
been underreported. We recommend stacking as the most robust model combination
method. Our methods can be used to combine results from independent retrieval
codes, and from different models within one code. They are also widely
applicable to other exoplanet analysis processes, such as combining results
from different data reductions.
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