“…Since Simpson's first report on the GCR spectra (Simpson, 1983), many researchers have made calculations based on his spectra. However, some recent measurements of GCR spectra performed within the framework of the AMS, CAPRISE98, and BESS balloon experiments reveal a number of important discrepancies from Simpson's data (Alcaraz et al, 2000;Boezio et al, 2003;Shikaze et al, 2007;Hayatsu et al, 2008). For example, according to Hayatsu et al (2008), the total fluxes of protons and alpha particles calculated from the GCR spectra (10 MeV/n-20 GeV/n) by BESS at φ = 600 MV are 3.37 and 0.346 particle/cm 2 /s, which are 28 and 82%, respectively, higher than the fluxes used in this paper (see Table 2).…”