“…Several studies (Boichu et al, , ; Chai et al, ; Eckhardt et al, ; Kristiansen et al, , ; Moxnes et al, ; Seibert et al, ; Stohl et al, ) have addressed this problem by making use of variational techniques to estimate the emission profile subject to satellite‐based quantitative retrievals of ash properties. Zidikheri et al () also addressed this problem by extending the methodology of Zidikheri and Potts () and Zidikheri et al (, ) to include the estimation of vertical mass emission profile, time variation, and particle size distribution subject to satellite retrievals using the SECO algorithm and ACCESS‐G global meteorological model wind fields. In this paper we further extend the methodology of Zidikheri and Potts () and Zidikheri et al (, , ) by calculating the aforementioned pattern correlation threshold parameter self‐consistently.…”