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Improving the understanding and characterization of spatial soil heavy metal distribution is becoming an important component of risk assessment and environmental policy. In this work, 213 soil samples collected from Daye (Hubei Province, China) were used as the empirical dataset. First, maps of soil heavy metal distributions, including Cd, Co, Cr, Cu, Mn, Ni, Pb and Zn, were obtained using the ordinary Kriging method. Then, the pollution index (PI) and integrated pollution index (IPI) were calculated based on the ordinary Kriging maps to obtain a comprehensive quantitative pollution characterization of the eight heavy metals in the Daye soil. The results showed that 46.1%, 32.1%, and 0.5% of the soil in the study region are moderately, highly and extremely polluted, respectively. Finally, the one- and two-point stochastic site indicators of IPI were used to assess quantitatively the uncertainties and risks associated …