“…output outside of an observation's estimated uncertainty range) are rejected and, likewise, the forcings that they calculate are also rejected. A similar constraint methodology has been applied to environmental models (Salter and Williamson, 2016), hydrological models (Liu and Gupta, 2007), galaxy formation (Rodrigues et al, 2017), disease transmission (Andrianakis et al, 2017), climate models (Murphy et al, 2004;Regayre et al, 2018;Sexton et al, 2011;Williamson et al, 2013) and aerosol models (Lee et al, 2011(Lee et al, , 2013Reddington et al, 2017;Regayre et al, 2018Regayre et al, , 2014Regayre et al, , 2015. In this paper the observations comprise aerosol and cloud state variables and trends, but the approach could readily be extended to include any observations, such as of aerosol-cloud-radiation relationships.…”