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a) Yes, that is correct. Note that Q* in SOlWEIG is estimated 1.1 meter above ground. Q* in other models and observation dataset can be at different heights.
b) Not really sure but a parameterisation that you propose might work. Not sure if SOLWEIG is the appropriate tool to estimate PAR since it was not designed for this.
c) I0 is estimate from Crawford and Duchon (2010 or 2011 (dont remember). The method calculate extra terrestrial solar radaition and then incudes a number of attenuation factors such as aurosol scattering etc.

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