“…An immediate approach is to parameterize the relationship functions and seek a set of optimal parameters for each solar rotation period and express them as functions of time, or other relevant parameters, such as magnetic field strength or proxy of coronal magnetic field structure, in addition to flow speed. Furthermore, such improved relation functions can represent the state of solar wind plasma near the Sun that cannot be well measured with remote sensing technique or space probes today; therefore, the modified functions can offer a good constraint or requirement to models of coronal heating and accelerations [e.g., Usmanov et al, 2000Usmanov et al, , 2011Yang et al, 2016] and enhance MHD simulation models for the trans-Alfvenic solar corona [e.g., Hayashi, 2005;Feng et al, 2010;Riley et al, 2011;Yang et al, 2012;Feng et al, 2012Feng et al, , 2015Wu et al, 2016] and interplanetary space [e.g., Dryer, 1994;Wu et al, 2005;Kataoka et al, 2009;Odstrcil and Pizzo, 2009;Intriligator et al, 2010;Detman et al, 2011;Wu et al, 2011;Hayashi, 2012;Kim et al, 2014] and heliospheric models [e.g., Washimi et al, 2011;Pogorelov et al, 2013].…”