论文标题
使用混合模型评估水世界种群的证据
Evaluating the Evidence for Water World Populations using Mixture Models
论文作者
论文摘要
为了解释开普勒系外行星的半径分布的差距,水世界被认为是光蒸发的替代方法。我们探索了符合过境开普勒系外行星样品的行星联合质量 - 拉迪乌斯 - 周期分布的框架内的水世界,其中其中的子集具有径向速度质量测量值。我们采用层次结构的贝叶斯建模来创建十种混合模型的范围,其中包括多个系外行星的组成亚群。我们对这些亚种群进行建模 - 包括带有气体信封的行星,蒸发的岩石岩心,蒸发的冰冷岩心,本质上岩石的行星和本质上冰冷的行星 - 以不同的组合来评估哪些组合最受数据的组合。使用交叉验证,我们评估了对包括具有冰冷组成的行星的模型的支持,而不是对没有模型的支持,为这两者提供了广泛的支持。我们发现水世界的亚群和带有原始信封的行星的亚群之间的大量人口水平的变性。在包括一个或多个冰核亚群的模型中,我们发现了具有冰冷成分的行星的范围很大,上限为50%。改进的数据集或替代建模方法可以更好地区分这些行星的这些亚群。
Water worlds have been hypothesized as an alternative to photo-evaporation in order to explain the gap in the radius distribution of Kepler exoplanets. We explore water worlds within the framework of a joint mass-radius-period distribution of planets fit to a sample of transiting Kepler exoplanets, a subset of which have radial velocity mass measurements. We employ hierarchical Bayesian modeling to create a range of ten mixture models that include multiple compositional subpopulations of exoplanets. We model these subpopulations - including planets with gaseous envelopes, evaporated rocky cores, evaporated icy cores, intrinsically rocky planets, and intrinsically icy planets - in different combinations in order to assess which combinations are most favored by the data. Using cross-validation, we evaluate the support for models that include planets with icy compositions compared to the support for models that do not, finding broad support for both. We find significant population-level degeneracies between subpopulations of water worlds and planets with primordial envelopes. Among models that include one or more icy-core subpopulations, we find a wide range for the fraction of planets with icy compositions, with a rough upper limit of 50%. Improved datasets or alternative modeling approaches may better be able to distinguish between these subpopulations of planets.