Global evolution of the wave parameters computed on the surface of the pressure wave. Panel a: evolution of the Alfvén Mach number (M_A), panel b: fast magnetosonic Mach number, panel c: angle between the shock normal and the upstream magnetic field (θ_BN), and panel d: density compression ratio. The statistical distribution of the values are represented by the black line (median), blue line (mean), pink shade (quartiles), and the gray shade (decile) values.