“…The NIC theory lays the physical foundation for assimilating lightning observations. For example, the state variables retrieved from lightning flash rates via empirical relationships, such as latent heat (Alexander et al, 1999; Pessi & Businger, 2009), specific humidity (Fierro et al, 2012, 2014, 2015, 2016, 2019; Hu et al, 2020; Mansell et al, 2007; Papadopoulos et al, 2005; Zhang et al, 2017), hydrometer mass (Chen et al, 2019; Kong et al, 2020; Mansell, 2014; Qie et al, 2014; Wang et al, 2017), and temperature (Marchand & Fuelberg, 2014), are assimilated to trigger convection at locations where lightning is observed. Generally, these lightning DA methods are very similar to the cloud analysis schemes used to assimilate radar reflectivity observations that force convection by adjusting the microphysical or thermodynamic state variables (e.g., Hu et al, 2006; Zhao & Xue, 2009).…”