“…Since the electric field decreasing with upper distance from the thundercloud is lower than the exponential decrease of the pressure with height, the condition for a streamer-leader transition can be substantially satisfied to ignite an upper lightning discharge. Thus, the critical field for a leader is estimated by the minimum electric field required for streamer propagation (e.g., Petrov and Petrova, 1999;Petrov et al, 2003), i.e., E* = E c in this work, which can be simply scaled with height proportionally to the neutral atmospheric density (e.g., Pasko and George, 2002). It is assumed that as soon as the electric field around leader tip reaches the E* field, the leader process is developed.…”