Multi-scaling mix and non-universality between population and facility density

► A scaling relation between population and facility density in China is reported. ► Its scaling exponent depends on the type of facility, which increases with per capita GDP. ► The observed scaling law is actually a mixture of several multi-scaling relations. ► This phenomenon results from an unbalanced regional economic level. ► We suggest a modification of a previous model by introducing the consuming capacity; the modified model reproduces most of our observed properties.