Characteristics of stellar atmospheres and winds obtained from the numerical parameter survey. The symbols represent the simulation results. The parameter survey for each star is carried out for the velocity amplitude on the photosphere (within (0.04–0.6) × adiabatic sound speeds on the photosphere) and the chromospheric magnetic field strength (within (0.002–0.05) × photospheric magnetic field strengths). The solid lines correspond to the prediction curves of our semi-empirical method. Panel (a): stellar wind velocity (v_wind) vs. the maximum amplitude of the Alfvén wave in the stellar wind (﹩{v}_{\phi \max }﹩). Panel (b): ﹩{v}_{\phi \max }﹩ vs. the coronal temperature (T_co). Panel (c): T_co vs. the transmitted Poynting flux into the corona (F_A,co). Panel (d): Alfvén wave luminosity in the corona (L_A,co) vs. stellar wind’s mass-loss rate (﹩\dot{M}﹩).