{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,23]],"date-time":"2026-05-23T07:06:03Z","timestamp":1779519963460,"version":"3.53.1"},"reference-count":49,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100004703","name":"Guangxi Minzu University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004703","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Guangdong Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["2021A1515011958"],"award-info":[{"award-number":["2021A1515011958"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72373032"],"award-info":[{"award-number":["72373032"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72173032"],"award-info":[{"award-number":["72173032"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers &amp; Industrial Engineering"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.cie.2026.112033","type":"journal-article","created":{"date-parts":[[2026,4,19]],"date-time":"2026-04-19T05:05:00Z","timestamp":1776575100000},"page":"112033","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Estimation and applicability of digital nested CES production functions: Evidence from China"],"prefix":"10.1016","volume":"217","author":[{"given":"Li","family":"Ma","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiumin","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Pan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"121","key":"10.1016\/j.cie.2026.112033_b1","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1093\/epolic\/eiae042","article-title":"The simple macroeconomics of AI","volume":"40","author":"Acemoglu","year":"2025","journal-title":"Economic Policy"},{"issue":"12","key":"10.1016\/j.cie.2026.112033_b2","doi-asserted-by":"crossref","first-page":"4269","DOI":"10.1080\/00207543.2024.2447931","article-title":"A data flow framework to support the selection and integration of digital technologies for smart production","volume":"63","author":"Agerskans","year":"2025","journal-title":"International Journal of Production Research"},{"issue":"3","key":"10.1016\/j.cie.2026.112033_b3","doi-asserted-by":"crossref","first-page":"225","DOI":"10.2307\/1927286","article-title":"Capital-labor substitution and economic efficiency","volume":"43","author":"Arrow","year":"1961","journal-title":"The Review of Economics and Statistics"},{"issue":"1","key":"10.1016\/j.cie.2026.112033_b4","first-page":"333","article-title":"The productivity J-Curve: how intangibles complement general purpose technologies","volume":"13","author":"Brynjolfsson","year":"2021","journal-title":"American Economic Journal: Macroeconomics"},{"issue":"8","key":"10.1016\/j.cie.2026.112033_b5","doi-asserted-by":"crossref","first-page":"19755","DOI":"10.1007\/s10668-023-03435-2","article-title":"The digital economy and power consumption: Empirical analysis based on consumption intensity in China","volume":"26","author":"Cheng","year":"2024","journal-title":"Environment, Development and Sustainability"},{"key":"10.1016\/j.cie.2026.112033_b6","doi-asserted-by":"crossref","DOI":"10.1016\/j.techfore.2024.123740","article-title":"Can artificial intelligence and green finance affect economic cycles?","volume":"209","author":"Chishti","year":"2024","journal-title":"Technological Forecasting and Social Change"},{"key":"10.1016\/j.cie.2026.112033_b7","series-title":"Annals of economic and social measurement, volume 5, number 1","first-page":"65","article-title":"Second-Order approximations for estimating production functions","volume":"vol. None","author":"Corbo","year":"1976"},{"key":"10.1016\/j.cie.2026.112033_b8","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2023.138436","article-title":"Regional unevenness and synergy of carbon emission reduction in China\u2019s Green Low-Carbon circular economy","volume":"420","author":"Di","year":"2023","journal-title":"Journal of Cleaner Production"},{"issue":"3","key":"10.1016\/j.cie.2026.112033_b9","doi-asserted-by":"crossref","first-page":"122","DOI":"10.3390\/systems11030122","article-title":"The interaction mechanism and dynamic evolution of digital green innovation in the integrated green building supply chain","volume":"11","author":"Dong","year":"2023","journal-title":"Systems"},{"key":"10.1016\/j.cie.2026.112033_b10","doi-asserted-by":"crossref","DOI":"10.1016\/j.envdev.2023.100898","article-title":"The impact of climate change on economic growth: Evidence from a panel of Asian countries","volume":"47","author":"Farajzadeh","year":"2023","journal-title":"Environmental Development"},{"key":"10.1016\/j.cie.2026.112033_b11","doi-asserted-by":"crossref","first-page":"28847","DOI":"10.1109\/ACCESS.2020.2972018","article-title":"A Multi-Objective optimization model using improved NSGA-II for optimizing metal mines production process","volume":"8","author":"Gu","year":"2020","journal-title":"IEEE Access : Practical Innovations, Open Solutions"},{"key":"10.1016\/j.cie.2026.112033_b12","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.iref.2023.06.007","article-title":"Information and communication technology and innovation performance of firms: Evidence from Chinese listed state-owned enterprises","volume":"88","author":"He","year":"2023","journal-title":"International Review of Economics & Finance"},{"issue":"05","key":"10.1016\/j.cie.2026.112033_b13","first-page":"97","article-title":"Industrial digitization and domestic circulation","volume":"59","author":"Hongsheng","year":"2024","journal-title":"Economic Research"},{"key":"10.1016\/j.cie.2026.112033_b14","doi-asserted-by":"crossref","DOI":"10.1016\/j.ecolecon.2024.108507","article-title":"Macroeconomic, sectoral and financial dynamics in energy transitions: A stock-flow consistent, input-output approach","volume":"230","author":"Jackson","year":"2025","journal-title":"Ecological Economics"},{"issue":"9","key":"10.1016\/j.cie.2026.112033_b15","doi-asserted-by":"crossref","first-page":"2819","DOI":"10.1257\/aer.20191330","article-title":"Nonrivalry and the economics of data","volume":"110","author":"Jones","year":"2020","journal-title":"American Economic Review"},{"issue":"5","key":"10.1016\/j.cie.2026.112033_b16","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1016\/j.telpol.2015.03.001","article-title":"The impact of information technology on postwar US economic growth","volume":"40","author":"Jorgenson","year":"2016","journal-title":"Telecommunications Policy"},{"key":"10.1016\/j.cie.2026.112033_b17","doi-asserted-by":"crossref","DOI":"10.1016\/j.foodpol.2022.102267","article-title":"Technical change and the common agricultural policy","volume":"109","author":"Khafagy","year":"2022","journal-title":"Food Policy"},{"issue":"1","key":"10.1016\/j.cie.2026.112033_b18","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1162\/rest.89.1.183","article-title":"Factor substitution and factor-augmenting technical progress in the United States: A normalized supply-side system approach","volume":"89","author":"Klump","year":"2007","journal-title":"The Review of Economics and Statistics"},{"key":"10.1016\/j.cie.2026.112033_b19","doi-asserted-by":"crossref","DOI":"10.1016\/j.eneco.2020.104752","article-title":"Estimating elasticities of substitution with nested CES production functions: Where do we stand?","volume":"88","author":"Lagomarsino","year":"2020","journal-title":"Energy Economics"},{"issue":"13","key":"10.1016\/j.cie.2026.112033_b20","doi-asserted-by":"crossref","first-page":"10153","DOI":"10.3390\/su151310153","article-title":"Analysis of spatial and temporal variations in ecosystem service functions and drivers in anxi county based on the InVEST model","volume":"15","author":"Li","year":"2023","journal-title":"Sustainability"},{"key":"10.1016\/j.cie.2026.112033_b21","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2023.140079","article-title":"How does the digital economy impact sustainable development? -An empirical study from China","volume":"434","author":"Ma","year":"2024","journal-title":"Journal of Cleaner Production"},{"issue":"12","key":"10.1016\/j.cie.2026.112033_b22","doi-asserted-by":"crossref","first-page":"15217","DOI":"10.1007\/s10462-023-10526-z","article-title":"A comprehensive survey on NSGA-II for Multi-Objective optimization and applications","volume":"56","author":"Ma","year":"2023","journal-title":"Artificial Intelligence Review"},{"issue":"4","key":"10.1016\/j.cie.2026.112033_b23","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1177\/10946705221120218","article-title":"Artificial intelligence as a service, economic growth, and Well-Being","volume":"25","author":"Makridis","year":"2022","journal-title":"Journal of Service Research"},{"key":"10.1016\/j.cie.2026.112033_b24","series-title":"A system approach to structural identification of production functions with multi-dimensional productivity","author":"Malikov","year":"2024"},{"issue":"2","key":"10.1016\/j.cie.2026.112033_b25","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1111\/roiw.12549","article-title":"Risky asset holdings during Covid-19 and their distributional impact: evidence from Germany","volume":"68","author":"Menkhoff","year":"2022","journal-title":"Review of Income and Wealth"},{"issue":"2","key":"10.1016\/j.cie.2026.112033_b26","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1162\/REST_a_00592","article-title":"Substitution between clean and dirty energy inputs: A macroeconomic perspective","volume":"99","author":"Papageorgiou","year":"2017","journal-title":"Review of Economics and Statistics"},{"key":"10.1016\/j.cie.2026.112033_b27","doi-asserted-by":"crossref","DOI":"10.1016\/j.technovation.2023.102764","article-title":"Artificial intelligence and productivity: global evidence from AI patent and bibliometric data","volume":"125","author":"Parteka","year":"2023","journal-title":"Technovation"},{"key":"10.1016\/j.cie.2026.112033_b28","series-title":"On estimation of deep nested CES production functions","author":"Qian","year":"2018"},{"issue":"09","key":"10.1016\/j.cie.2026.112033_b29","first-page":"93","article-title":"Manufacturing input digitization and upgrading to the High-End of the global value chain: A Re-Examination based on input source differences","volume":"47","author":"Qing","year":"2021","journal-title":"Financial Research"},{"issue":"6","key":"10.1016\/j.cie.2026.112033_b30","doi-asserted-by":"crossref","first-page":"1528","DOI":"10.1177\/0149206320969791","article-title":"Platform competition: A systematic and interdisciplinary review of the literature","volume":"47","author":"Rietveld","year":"2021","journal-title":"Journal of Management"},{"issue":"2","key":"10.1016\/j.cie.2026.112033_b31","doi-asserted-by":"crossref","first-page":"201","DOI":"10.2307\/2296809","article-title":"A two-level constant-elasticity-of-substitution production function","volume":"34","author":"Sato","year":"1967","journal-title":"Review of Economic Studies"},{"issue":"1","key":"10.1016\/j.cie.2026.112033_b32","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1002\/gsj.1336","article-title":"Platforms without borders? The international strategies of digital platform firms","volume":"11","author":"Stallkamp","year":"2021","journal-title":"Global Strategy Journal"},{"key":"10.1016\/j.cie.2026.112033_b33","doi-asserted-by":"crossref","DOI":"10.1016\/j.jretconser.2024.104216","article-title":"Digitally empowered green public services in Environmentally Vulnerable Areas: Insights from SEM-ANN analysis","volume":"84","author":"Sun","year":"2025","journal-title":"Journal of Retailing and Consumer Services"},{"issue":"6","key":"10.1016\/j.cie.2026.112033_b34","doi-asserted-by":"crossref","first-page":"2964","DOI":"10.1016\/j.eneco.2008.05.008","article-title":"Production functions for climate policy modeling: An empirical analysis","volume":"30","author":"van der Werf","year":"2008","journal-title":"Energy Economics"},{"issue":"2","key":"10.1016\/j.cie.2026.112033_b35","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1162\/106365600568158","article-title":"Multiobjective evolutionary algorithms: Analyzing the state-of-the-art","volume":"8","author":"Veldhuizen","year":"2000","journal-title":"Evolutionary Computation"},{"issue":"11","key":"10.1016\/j.cie.2026.112033_b36","doi-asserted-by":"crossref","first-page":"228","DOI":"10.3390\/pr6110228","article-title":"Production process optimization of metal mines considering economic benefit and resource efficiency using an NSGA-II model","volume":"6","author":"Wang","year":"2018","journal-title":"Processes"},{"key":"10.1016\/j.cie.2026.112033_b37","article-title":"Biased technological progress and total factor productivity growth: From the perspective of China\u2019s renewable energy industry","volume":"146","author":"Wang","year":"2021","journal-title":"Renewable and Sustainable Energy Reviews"},{"key":"10.1016\/j.cie.2026.112033_b38","doi-asserted-by":"crossref","DOI":"10.1016\/j.asieco.2025.101893","article-title":"How artificial intelligence applications affect the total factor productivity of the service industry: Firm-level evidence from China","volume":"97","author":"Wu","year":"2025","journal-title":"Journal of Asian Economics"},{"issue":"1","key":"10.1016\/j.cie.2026.112033_b39","doi-asserted-by":"crossref","DOI":"10.1155\/ddns\/2797668","article-title":"The impact of land circulation on common prosperity in the digital economy context","volume":"2025","author":"Xu","year":"2025","journal-title":"Discrete Dynamics in Nature and Society"},{"key":"10.1016\/j.cie.2026.112033_b40","doi-asserted-by":"crossref","first-page":"2233","DOI":"10.1016\/j.eap.2025.05.054","article-title":"The impact of VAT input tax refund policy on firms\u2019 labor income share: Evidence from China","volume":"86","author":"Yang","year":"2025","journal-title":"Economic Analysis and Policy"},{"key":"10.1016\/j.cie.2026.112033_b41","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/j.eap.2024.03.020","article-title":"The Non-Rivalry of data, directed technical change and the environment: A theoretical study incorporating data as a production factor","volume":"82","author":"Yang","year":"2024","journal-title":"Economic Analysis and Policy"},{"key":"10.1016\/j.cie.2026.112033_b42","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijpe.2022.108654","article-title":"The effect of process digitalization initiative on firm performance: A dynamic capability development perspective","volume":"254","author":"Yang","year":"2022","journal-title":"International Journal of Production Economics"},{"issue":"2","key":"10.1016\/j.cie.2026.112033_b43","doi-asserted-by":"crossref","DOI":"10.1177\/21582440241261130","article-title":"The effect of digital green strategic orientation on digital green innovation performance: From the perspective of digital green business model innovation","volume":"14","author":"Yin","year":"2024","journal-title":"SAGE Open"},{"key":"10.1016\/j.cie.2026.112033_b44","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.spc.2020.05.003","article-title":"Enhancing the competitiveness of multi-agent cooperation for green manufacturing in China: An empirical study of the measure of green technology innovation capabilities and their influencing factors","volume":"23","author":"Yin","year":"2020","journal-title":"Sustainable Production and Consumption"},{"issue":"1","key":"10.1016\/j.cie.2026.112033_b45","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1057\/s41599-024-02691-5","article-title":"Digital green value Co-Creation behavior, digital green network embedding and digital green innovation performance: Moderating effects of digital green network fragmentation","volume":"11","author":"Yin","year":"2024","journal-title":"Humanities and Social Sciences Communications"},{"key":"10.1016\/j.cie.2026.112033_b46","doi-asserted-by":"crossref","first-page":"896","DOI":"10.1016\/j.energy.2017.11.087","article-title":"Energy-biased technical change in the Chinese industrial sector with CES production functions","volume":"148","author":"Zha","year":"2018","journal-title":"Energy"},{"key":"10.1016\/j.cie.2026.112033_b47","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2021.130310","article-title":"Endogenous energy efficiency and rebound effect in the transportation sector: Evidence from China","volume":"335","author":"Zheng","year":"2022","journal-title":"Journal of Cleaner Production"},{"issue":"4","key":"10.1016\/j.cie.2026.112033_b48","first-page":"51","article-title":"The applicability of the CES production function for energy in China\u2019s industrial sectors and its nonlinear econometric estimation","volume":"32","author":"Zhou","year":"2015","journal-title":"Journal of Statistical Research"},{"key":"10.1016\/j.cie.2026.112033_b49","doi-asserted-by":"crossref","DOI":"10.1016\/j.jbusres.2024.114851","article-title":"Digital transformation and firms\u2019 bargaining power: Evidence from China","volume":"183","author":"Zhu","year":"2024","journal-title":"Journal of Business Research"}],"container-title":["Computers &amp; Industrial Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0360835226002342?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0360835226002342?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,23]],"date-time":"2026-05-23T06:48:39Z","timestamp":1779518919000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0360835226002342"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":49,"alternative-id":["S0360835226002342"],"URL":"https:\/\/doi.org\/10.1016\/j.cie.2026.112033","relation":{},"ISSN":["0360-8352"],"issn-type":[{"value":"0360-8352","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Estimation and applicability of digital nested CES production functions: Evidence from China","name":"articletitle","label":"Article Title"},{"value":"Computers & Industrial Engineering","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cie.2026.112033","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"112033"}}