<p>In an article by <em>Kostinskiy et al. (2019)</em> proposed the mechanism of the origin and development of lightning from initiating event to initial breakdown pulses (termed the Mechanism). The Mechanism assumes initiation occurs in a region of a thundercloud of 1 km<sup>3</sup> with electric field E > 0.4 MV/(m&#8729;atm), which contains, because of turbulence, numerous small &#8220;E<sub>th</sub>-volumes&#8221; of 0.001-0.0001 m<sup>3</sup> with E &#8805; 3 MV/(m&#8729;atm). The Mechanism allows for lightning initiation by two observed types of initiating events: a high power VHF event called an NBE (narrow bipolar event or CID), or a weak VHF event. According to the Mechanism, both types of initiating events are caused by a group of relativistic runaway electron avalanche particles passing through many of the E<sub>th</sub>-volumes, thereby causing the nearly simultaneous launching of many positive streamer flashes, <em>Kostinskiy et al. (2019)</em>.</p><p>In this report, based on the Meek&#8217;s criterion for the initiation of streamers (<em>Raizer, 1991</em>) at different heights of lightning initiation and taking into account the number of all background electrons, positrons and photons of cosmic rays with energy &#949; < 10<sup>12</sup> eV (<em>Sato, 2015</em>) crossing E<sub>th</sub>-volumes sizes of E<sub>th</sub>-volumes are specified (3&#8729;10<sup>-4</sup>-3&#8729;10<sup>-5</sup> m<sup>3</sup>). The report also showed that synchronous injection with a high probability of relativistic electrons into such small E<sub>th</sub>-volumes requires of relativistic runaway electrons avalanches to be initiated by extensive air showers with energies &#949; > 10<sup>15</sup> eV, which would supply (injected) 10<sup>5</sup>-10<sup>7</sup> secondary electrons into a turbulent region of a thundercloud with a strong electric field.</p><p>References</p><p>Kostinskiy, A. Yu., Marshall, T.C., Stolzenburg, M. (2019), The Mechanism of the Origin and Development of Lightning from Initiating Event to Initial Breakdown Pulses arXiv:1906.01033</p><p>Raizer Yu. (1991), Gas Discharge Physics, Springer-Verlag, 449 p.</p><p>Sato T. (2015), Analytical Model for Estimating Terrestrial Cosmic Ray Fluxes Nearly Anytime and Anywhere in the World: Extension of PARMA/EXPACS, PLOS ONE, 10(12): e0144679.</p>