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Application of a modified CES production function model based on improved PSO algorithm

Author

Listed:
  • Cheng, Maolin
  • Han, Yun

Abstract

In the analysis of the economic growth factors, people often use the CES (constant elasticity of substitution) production function model to calculate the contribution rate of influencing factors to economic growth. However, the traditional CES production function model does not consider the period characteristic of technological progress on economic growth, so this paper puts forward a modified CES production function model. On the parameter estimation of the model, this paper presents an improved PSO (particle swarm optimization) algorithm with high precision and fast convergence. Using the modified CES production function model, this paper provides a scientific method to calculate the contribution rates of all factors influencing the economic growth. Finally, this paper performs the empirical analysis of the contribution rates of all factors influencing China’s economic growth.

Suggested Citation

  • Cheng, Maolin & Han, Yun, 2020. "Application of a modified CES production function model based on improved PSO algorithm," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300320301478
    DOI: 10.1016/j.amc.2020.125178
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    References listed on IDEAS

    as
    1. Maolin Cheng, 2019. "A Grey CES Production Function Model and Its Application in Calculating the Contribution Rate of Economic Growth Factors," Complexity, Hindawi, vol. 2019, pages 1-8, April.
    2. Zha, Donglan & Kavuri, Anil Savio & Si, Songjian, 2018. "Energy-biased technical change in the Chinese industrial sector with CES production functions," Energy, Elsevier, vol. 148(C), pages 896-903.
    3. Zha, Donglan & Zhou, Dequn, 2014. "The elasticity of substitution and the way of nesting CES production function with emphasis on energy input," Applied Energy, Elsevier, vol. 130(C), pages 793-798.
    4. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    5. Yazid Dissou & Lilia Karnizova & Qian Sun, 2015. "Industry-level Econometric Estimates of Energy-Capital-Labor Substitution with a Nested CES Production Function," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 43(1), pages 107-121, March.
    6. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    7. Sriram Shankar & B. Bhaskara Rao, 2012. "Estimates of the long-run growth rate of Singapore with a CES production function," Applied Economics Letters, Taylor & Francis Journals, vol. 19(15), pages 1525-1530, October.
    8. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    9. Yasushi Nakamura, 2015. "Productivity versus elasticity: a normalized constant elasticity of substitution production function applied to historical Soviet data," Applied Economics, Taylor & Francis Journals, vol. 47(53), pages 5805-5823, November.
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    Cited by:

    1. Ji, Kaipeng & Zhao, Peng & Zhou, Xiaowei & Chen, Yuhong & Dong, Zhengyang & Zheng, Jianguo & Fu, Jianzhong & Zhou, Huamin, 2022. "Uniform Initialization in Response Space for PSO and its Applications," Applied Mathematics and Computation, Elsevier, vol. 431(C).

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