Response of 210Pbex inventory to changes in soil erosion rates on uncultivated land

This analysis studies changes in the variation ²¹⁰Pb_ex inventory in soil in response to soil erosion on uncultivated land. A model was created to fit the response of ²¹⁰Pb_ex inventory to variations in soil erosion rates on uncultivated land using the principle of mass balance. By numerical simulation of the variation in the soil erosion rate in soil of uncultivated land, we prove: (1) past use of what has long been considered the best method of determining ²¹⁰Pb_ex levels over the past 100 to 200 years is not scientifically accurate; (2) the model shows that variation in ²¹⁰Pb_ex inventory as a function of time varies according to the index law after variation of soil erosion rates in uncultivated land is considered; and (3) the time needed for the variation in ²¹⁰Pb_ex inventory to reach a steady-state is affected by changes in the rate of soil erosion and the quality and depth of relaxation in soil of uncultivated land. The results of this research can guide efforts to measure soil erosion rates.