The population growth of a proto-city (P–C, the initial stage of city-forming) is fundamental for shaping the subsequent pattern of population growth in city evolution. This study proposed a mathematical model, the P–C Population Accretion Growth (P-CPAG) model, to simulate key processes of population growth over a P–C period, based on the Urban Accretion Growth hypothesis (the UAG hypothesis). In the P-CPAG model, several parameters, e.g., natural increase rate of population(k), accretion rate (ρ), accretion radius(r), and initial populati...
