comprehensive factor productivity refers to the additional increase in output caused by human capital investment and technological progress under the same amount and scale of labor and capital investment. Because this kind of productivity is difficult to separate between labor and capital, it is called comprehensive factor productivity.
according to the simple growth accounting relationship, namely: δ y = δ a+α δ k+(1-α) δ l, where δ y is the growth rate of output,
δ k is the growth rate of (material) capital stock, δ l is the growth rate of labor input, the parameter α is the share of capital in total output, and (1-α) is the share of labor in output.
In practice, the calculation of comprehensive factor productivity is the remainder obtained from the transformation of the above formula:
δ A = δ Y-α δ K-(1-α) δ L
This model can be used to calculate or predict the change of output (using partial derivative to calculate the relationship between these factors: labor and output, capital and technology). However, this method obviously exists.