“…The red, round and blue, square data points are hydrogen and helium nuclei components of CRs above the knee from KASCADE-Grande (Apel et al 2013). Rest of the shown data are taken from AKENO, 1992, All: Nagano et al (1992; EAS-TOP, 1999, All: Aglietta et al (1999); HiRes-II, 2008, All: Abbasi et al (2008); Tibet-III, 2008, All: Amenomori et al (2008);Yakutsk, 2009, All: Ivanov, Knurenko, & Sleptsov (2009KASCADE, 2011: Finger (2011; GAMMA, 2014, All: Ter-Antonyan (2014); AUGER, 2017, All: Fenu et al (2017); TALE, 2018, All: Abbasi et al (2018). applying our model, M gas is the total gas mass contained inside the CR halo, estimated to be 1.0×10 10 M , and X esc is the grammage along the CR path length, which is obtained via observations on the ratio of boron to carbon fluxes (e.g. Adriani et al 2014;Aguilar et al 2016).…”