Abstract: Production function is commonly used in economic the growth factor analysis, among which the CES production function model is an important form, which is more in line with the law of economic growth than the commonly used C-D production function. However, in the analysis, there are many variables that change with the season. For the data that changes with the season, it is obviously not suitable to establish the traditional CES production function model even if the modeling, the error is also very large. Therefore, this paper revises the conventional CES production function and puts forward a CES production function model with seasonal changes. In the application of the model, this paper presents a scientific method to calculate the contribution rate of input factors to economic growth, so as to avoid the large calculation error of the traditional method. Finally, the contribution rate of economic growth factors of real estate industry in China is calculated, and the results are in line with the reality of China.

Key words: production function, economic growth, seasonal variations, contribution rate