Abstract: Based on the basic data of ²¹⁰Pb activity concentration in surface air, this study analyzed the correlation between ²¹⁰Pb activity concentration in surface air and meteorological parameters such as sunshine, temperature, relative humidity, pressure, average total cloud cover and rainfal. This study used Fourier series to complete the change trend prediction of ²¹⁰Pb activity concentration in surface air. The results showed that the monthly mean activity concentration of ²¹⁰Pb in the surface air had a strong negative correlation with temperature, relative humidity, average total cloud cover and rainfall while showed a strong positive correlation with air pressure, confirming the possibility of using Fourier series to predict the activity concentration of ²¹⁰Pb in surface air. In the activity concentration harmonic spectrum of ²¹⁰Pb, except for the maximum harmonic wave with a period of 1 year, the harmonic wave with a period of 5 years is also significant, but the periodicity is not very significant compared with temperature, relative humidity, pressure, average total cloud cover and rainfall. The Fourier series prediction results show that the predicted value of ²¹⁰Pb activity concentration in the surface air is roughly consistent with the measured value, but not completely consistent. In the subsequent research, machine learning, neural network and other methods can be considered to improve the prediction accuracy.

Key words: fourier series, air, ²¹⁰Pb, activity concentration, meteorological parameter