Abstract: In order to explore the characteristics of air quality changes in Zhejiang Province, this paper selects the monthly air quality index data and the monthly data of the concentration of six major air pollutants in Zhejiang Province from 2014 to 2019 for research. First, this article fits the air quality index data and the six air pollutant concentration data into a function curve. Then, in order to discover the dynamic change characteristics of the air quality index and the concentration of six air pollutants in Zhejiang Province, this paper performs K-means clustering on the principal component basis coefficients of the air quality index curve family, and analyzes the six air pollutant concentration curve families perform multivariate Funclust clustering. Finally, we used ArcGIS to draw the spatial distribution map of the clustering results in Zhejiang Province and explored the spatial distribution characteristics of the air quality in Zhejiang Province. The results show that the characteristics of air quality changes in Zhejiang Province can be divided into 4 types of regions spatially, showing a trend of gradual deterioration from south to north; in terms of time, the air quality index of Zhejiang Province has been steadily decreasing year by year, and the concentration of SO₂ has dropped significantly. The concentrations of the other five pollutants have obvious similarities and significant seasonal characteristics.

Key words: Zhejiang Province air quality, functional principal component analysis, K-means clustering, multivariate Funclust clustering