Abstract: Since the reform and opening up,Chinas economy has experienced 40 years of rapid growth,which has provided many experiences and enlightenments for the innovation of economic theory and macro-management.Based on the authoritative basic data of the National Bureau of Statistics,this paper summarizes the existing research results.On the basis of systematically correcting the data defects,the time series of material capital,human capital and related indicators in China from 1952 to 2018 are calculated at first.Then,the trans-logarithmic production function of Chinas economy is established by using ridge regression technique.On this basis,the change and contribution of capital factor,human factor and total factor productivity to economic growth are analyzed.The analysis shows that the contribution rate of capital factor to economic growth is gradually declining in fluctuation,while the role of human factor is stronger in the fluctuation,and has increased greatly in the recent stage,exceeding the capital factor,and the contribution rate of total factor productivity is accelerating.At present,the contribution rate of total factor productivity to economic growth has exceeded 50%.The main outcomes of this paper are as follows:firstly,the authoritative data and mathematical models are used to provide a rigorous and systematic time series data of relevant variables;secondly,the composition and characteristics of the growth engine of Chinas economy in recent 40 years are revealed more accurately.

Key words: economic growth accounting, trans-logarithmic production function, Chinas economic growth, human capital