I have vague memories from college about China having something similar during the dynasties. The hierarchical government on earth, with the emperor on top dow

I have vague memories from college about China having something similar during the dynasties. The hierarchical government on earth, with the emperor on top down through layers of bureaucracy down to officials in villages was a mirror of the organization of the heavens. Villages would have their own deities and might go so far as to replace them after bad years of flooding or other weather. That was more of an outlier, though, as usually the emperor or government got the blame first.