Beijing: According to the map of China, it is located in the north, so it belongs to water.
If you were born in Beijing, Beijing belongs to water and earth to you.
If your birthplace is not in the north, for you, Beijing should be your birthplace as the 0 point. It depends on the position of Beijing in your birthplace, and what attributes it has.
West: Gold
North: Water
East: Wood
South: Fire
Southwest: Gold , Fire
Northeast: Water, Wood
Northwest: Metal, Water
Southeast: Wood, Fire