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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2021, Vol. 38 ›› Issue (1): 110-120.doi: 10.3969/j.issn.1005-3085.2021.01.010

• • 上一篇    下一篇

一个带有季节变化的生产函数模型及其应用(英)

程毛林,   史国军   

  1. 苏州科技大学数理学院,苏州  215009
  • 收稿日期:2018-07-02 接受日期:2019-06-27 出版日期:2021-02-15 发布日期:2021-04-15
  • 基金资助:
    国家自然科学基金 (11401418).

A Production Function Model with Seasonal Variations and Its Application

CHENG Mao-lin,   SHI Guo-jun   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009
  • Received:2018-07-02 Accepted:2019-06-27 Online:2021-02-15 Published:2021-04-15
  • Supported by:
    The National Natural Science Foundation of China (11401418).

摘要: 人们在经济增长因素分析中,常用生产函数,其中CES生产函数模型是一个重要形式,它比常用的C-D生产函数更符合经济增长规律.但在分析中,有许多变量是随季节变化,对于随季节变化的数据,建立传统的CES生产函数模型显然不适合,即使建模,误差也很大.为此本文对常规CES生产函数进行修正,提出一个带有季节变化的CES生产函数模型.在模型应用上,本文给出一种科学计算投入因素对经济增长贡献率的方法,避免传统方法的计算误差大.文章最后对中国房地产业经济增长因素贡献率进行了计算,结果符合中国的实际.

关键词: 生产函数, 季节变化, 经济增长, 贡献率

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

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