Abstract
In July 2021, China began its national emissions trading scheme, marking a new stage of development for the country’s carbon market. This study analyzes the multidimensional correlation between carbon prices in the Guangdong pilot market and eight influencing factors from three perspectives (the international carbon market, energy prices, and China’s economic situation), using the ARMA-GARCH-vine copula model. The CoVaR between the carbon price and each factor is then calculated using copula-CoVaR. The results show that the crude oil market plays the primary role in the vine structure, and that the carbon market is not strongly correlated with other markets. China’s carbon market is still a regional market driven by government policy, and the international carbon and energy markets (especially the crude oil market) have upward risk spillover effects upon it. This indicates an asymmetric risk spillover between influencing factors and the carbon market. The findings of this study will help market participants prepare risk management strategies and make related investment decisions, and provide a reference for policy makers to formulate national emission trading scheme policies.
Graphical abstract





Similar content being viewed by others
Notes
2.3%! China’s economy grows against the trend in 2020, Xinhuanet, 2021-01-18, www.xinhuanet.com/2021-01/18/c_1126995039.htm.
Central Economic Work Conference held in Beijing, Renminnet, 2020-12-19, www.politics.people.com.cn/n1/2020/1219/c1024-31971922.htm.
The national carbon market “opened” for 6 days, full of highlights, Xinhuanet, 2021-07-24 www.gov.cn/xinwen/2021-07/24/content_5627095.htm.
The People’s Bank of China and the International Monetary Fund held a joint high-level seminar on “Green Finance and Climate Policy”, Sina, 2021-04-15, https://finance.sina.com.cn/roll/2021-04-15/doc-ikmxzfmk7055841.shtm.
Suppose there are two assets, X1 and X2, with joint continuous cumulative distribution function F, marginal distributions \({F}_{{X}_{1}}\), \({F}_{{X}_{2}}\), and corresponding copula C.\({\lambda }_{L}=\underset{v\to {0}^{+}}{lim}P\left({F}_{{X}_{1}}\left({X}_{1}\right)\le \nu |{F}_{{X}_{2}}\left({X}_{2}\right)\le \nu \right)=\underset{v\to {0}^{+}}{lim}\frac{P\left({F}_{{X}_{1}}\left({X}_{1}\right)\le \nu ,{F}_{{X}_{2}}\left({X}_{2}\right)\le \nu \right)}{P\left({F}_{{X}_{2}}\left({X}_{2}\right)\le \nu \right)}=\underset{v\to {0}^{+}}{lim}\frac{{c}_{\left(v,v\right)}}{v}\), \({\lambda }_{u}=\underset{v\to {1}^{-}}{lim}P\left({F}_{{X}_{1}}\left({X}_{1}\right)\ge \nu |{F}_{{X}_{2}}\left({X}_{2}\right)\ge \nu \right)=\underset{v\to {1}^{-}}{lim}\frac{P({F}_{{X}_{1}}\left({X}_{1}\right)\ge \nu ,{F}_{{X}_{2}}\left({X}_{2}\right)\ge \nu )}{P({F}_{{X}_{2}}\left({X}_{2}\right)\ge \nu )}=\underset{v\to {1}^{-}}{lim}\frac{1-2v+c\left(v,v\right)}{1-v}\).
Interested readers can contact the author for the results of ARMA-GARCH model.
Basic copula families include Clayton, Gaussian, Gumbel, Frank and Student’s t.
Measures for the administration of Carbon Emission Trading (for Trial Implementation), xinhuanet, 2021–01-01, http://www.xinhuanet.com/energy/2021-01/07/c_1126954718.htm.
References
Abedin, M. Z., Guotai, C., Moula, F. E., Azad, A. S. M. S., & Khan, M. S. U. (2019). Topological applications of multilayer perceptrons and support vector machines in financial decision support systems. International Journal of Finance & Economics, 24(1), 474–507. https://doi.org/10.1002/ijfe.1675
Adekoya, O. B. (2021). Predicting carbon allowance prices with energy prices: A new approach. Journal of Cleaner Production, 282, 124519. https://doi.org/10.1016/j.jclepro.2020.124519
Adrian, T., & Brunnermeier, M. K., (2011). CoVaR. NBER Working Paper Series, p. w17454. http://www.nber.org/papers/w17454
Andersson, F. N. G., & Karpestam, P. (2013). CO2 emissions and economic activity: Short- and long-run economic determinants of scale, energy intensity and carbon intensity. Energy Policy, 61, 1285–1294. https://doi.org/10.1016/j.enpol.2013.06.004
Beck, M., Rivers, N., Wigle, R., & Yonezawa, H. (2015). Carbon tax and revenue recycling: Impacts on households in British Columbia. Resource and Energy Economics, 41, 40–69. https://doi.org/10.1016/j.reseneeco.2015.04.005
Chen, J., Liu, Y., Pan, T., Ciais, P., Ma, T., Liu, Y., & Peñuelas, J. (2020). Global socioeconomic exposure of heat extremes under climate change. Journal of Cleaner Production, 277, 123275. https://doi.org/10.1016/j.jclepro.2020.123275
Choi, J.-K., Bakshi, B. R., & Haab, T. (2010). Effects of a carbon price in the U.S. on economic sectors, resource use, and emissions: An input–output approach. Energy Policy, 38(7), 3527–3536. https://doi.org/10.1016/j.enpol.2010.02.029
Dai, X., Xiao, L., Wang, Q., & Dhesi, G. (2021). Multiscale interplay of higher-order moments between the carbon and energy markets during Phase III of the EU ETS. Energy Policy, 156, 112428. https://doi.org/10.1016/j.enpol.2021.112428
Dissanayake, S., Mahadevan, R., & Asafu-Adjaye, J. (2020). Evaluating the efficiency of carbon emissions policies in a large emitting developing country. Energy Policy, 136, 111080. https://doi.org/10.1016/j.enpol.2019.111080
Duan, K., Ren, X., Shi, Y., Mishra, T., & Yan, C. (2021). The marginal impacts of energy prices on carbon price variations: Evidence from a quantile-on-quantile approach. Energy Economics, 95, 105131. https://doi.org/10.1016/j.eneco.2021.105131
Dutta, A. (2018). Modeling and forecasting the volatility of carbon emission market: The role of outliers, time-varying jumps and oil price risk. Journal of Cleaner Production, 172, 2773–2781. https://doi.org/10.1016/j.jclepro.2017.11.135
Fleschutz, M., Bohlayer, M., Braun, M., Henze, G., & Murphy, M. D. (2021). The effect of price-based demand response on carbon emissions in European electricity markets: The importance of adequate carbon prices. Applied Energy, 295, 117040. https://doi.org/10.1016/j.apenergy.2021.117040
Hájek, M., Zimmermannová, J., Helman, K., & Rozenský, L. (2019). Analysis of carbon tax efficiency in energy industries of selected EU countries. Energy Policy, 134, 110955. https://doi.org/10.1016/j.enpol.2019.110955
Han, M., Ding, L., Zhao, X., & Kang, W. (2019). Forecasting carbon prices in the Shenzhen market, China: The role of mixed-frequency factors. Energy, 171, 69–76. https://doi.org/10.1016/j.energy.2019.01.009
Hao, Y., & Tian, C. (2020). A hybrid framework for carbon trading price forecasting: The role of multiple influence factor. Journal of Cleaner Production, 262, 120378. https://doi.org/10.1016/j.jclepro.2020.120378
Haxhimusa, A., & Liebensteiner, M. (2021). Effects of electricity demand reductions under a carbon pricing regime on emissions: Lessons from COVID-19. Energy Policy, 156, 112392. https://doi.org/10.1016/j.enpol.2021.112392
Ji, C.-J., Hu, Y.-J., Tang, B.-J., & Qu, S. (2021). Price drivers in the carbon emissions trading scheme: Evidence from Chinese emissions trading scheme pilots. Journal of Cleaner Production, 278, 123469. https://doi.org/10.1016/j.jclepro.2020.123469
Ji, H., Wang, H., Xu, J., & Liseo, B. (2019). Dependence structure between China’s stock market and other major stock markets before and after the 2008 financial crisis. Emerging Markets Finance and Trade, 56(11), 2608–2624. https://doi.org/10.1080/1540496X.2019.1615434
Ji, H., Wang, H., Zhong, R., & Li, M. (2020). China’s liberalizing stock market, crude oil, and safe-haven assets: A linkage study based on a novel multivariate wavelet-vine copula approach. Economic Modelling, 93, 187–204. https://doi.org/10.1016/j.econmod.2020.07.022
Ji, Q., Xia, T., Liu, F., & Xu, J.-H. (2019). The information spillover between carbon price and power sector returns: Evidence from the major European electricity companies. Journal of Cleaner Production, 208, 1178–1187. https://doi.org/10.1016/j.jclepro.2018.10.167
Jia, Z., Wen, S., & Lin, B. (2021). The effects and reacts of COVID-19 pandemic and international oil price on energy, economy, and environment in China. Applied Energy, 302, 117612. https://doi.org/10.1016/j.apenergy.2021.117612
Joe, H. (1997). Multivariate models and multivariate dependence concepts (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9780367803896
Jondeau, E., & Rockinger, M. (2006). The Copula-GARCH model of conditional dependencies: An international stock market application. Journal of International Money and Finance, 25(5), 827–853. https://doi.org/10.1016/j.jimonfin.2006.04.007
Khan, R., Awan, U., Zaman, K., Nassani, A. A., Haffar, M., & Abro, M. M. Q. (2021). Assessing hybrid solar-wind potential for industrial decarbonization strategies: Global shift to green development. Energies, 14(22), 7620. https://doi.org/10.3390/en14227620
Khan, M. M., Zaman, K., Irfan, D., Awan, U., Ali, G., Kyophilavong, P., & Naseem, I. (2016). Triangular relationship among energy consumption, air pollution and water resources in Pakistan. Journal of Cleaner Production, 112, 1375–1385. https://doi.org/10.1016/j.jclepro.2015.01.094
Kurowicka, D., & Joe, H. (2010). Dependence Modeling: Vine Copula Handbook (p. 7699). World Scientific Books, World Scientific Publishing Co. Pte. Ltd. https://doi.org/10.1142/7699
Li, X., & Yao, X. (2020). Can energy supply-side and demand-side policies for energy saving and emission reduction be synergistic?–- A simulated study on China’s coal capacity cut and carbon tax. Energy Policy, 138, 111232. https://doi.org/10.1016/j.enpol.2019.111232
Li, Z.-P., Yang, L., Zhou, Y.-N., Zhao, K., & Yuan, X.-L. (2020). Scenario simulation of the EU carbon price and its enlightenment to China. Science of the Total Environment, 723, 137982. https://doi.org/10.1016/j.scitotenv.2020.137982
Luo, Y., Li, X., Qi, X., & Zhao, D. (2021). The impact of emission trading schemes on firm competitiveness: Evidence of the mediating effects of firm behaviors from the Guangdong ETS. Journal of Environmental Management, 290, 112633. https://doi.org/10.1016/j.jenvman.2021.112633
Lyu, J., Cao, M., Wu, K., Li, H., & Mohi-ud-din, G. (2020). Price volatility in the carbon market in China. Journal of Cleaner Production, 255, 120171. https://doi.org/10.1016/j.jclepro.2020.120171
Medina-Olivares, V., Calabrese, R., Dong, Y., & Shi, B. (2021). Spatial dependence in microfinance credit default. International Journal of Forecasting. https://doi.org/10.1016/j.ijforecast.2021.05.009
Monasterolo, I., & de Angelis, L. (2020). Blind to carbon risk? An analysis of stock market reaction to the Paris Agreement. Ecological Economics, 170, 106571. https://doi.org/10.1016/j.ecolecon.2019.106571
Nassani, A. A., Awan, U., Zaman, K., Hyder, S., Aldakhil, A. M., & Abro, M. M. Q. (2019). Management of natural resources and material pricing: Global evidence. Resources Policy, 64, 101500. https://doi.org/10.1016/j.resourpol.2019.101500
Nikoloulopoulos, A. K., Joe, H., & Li, H. (2012). Vine copulas with asymmetric tail dependence and applications to financial return data. Computational Statistics & Data Analysis, 56(11), 3659–3673. https://doi.org/10.1016/j.csda.2010.07.016
Qureshi, M. I., Awan, U., Arshad, Z., Rasli, A. M., Zaman, K., & Khan, F. (2016). Dynamic linkages among energy consumption, air pollution, greenhouse gas emissions and agricultural production in Pakistan: Sustainable agriculture key to policy success. Natural Hazards, 84(1), 367–381. https://doi.org/10.1007/s11069-016-2423-9
Reboredo, J. C., & Ugolini, A. (2016). Quantile dependence of oil price movements and stock returns. Energy Economics, 54, 33–49. https://doi.org/10.1016/j.eneco.2015.11.015
Segnon, M., Lux, T., & Gupta, R. (2017). Modeling and forecasting the volatility of carbon dioxide emission allowance prices: A review and comparison of modern volatility models. Renewable and Sustainable Energy Reviews, 69, 692–704. https://doi.org/10.1016/j.rser.2016.11.060
Shan, Y., Ou, J., Wang, D., Zeng, Z., Zhang, S., Guan, D., & Hubacek, K. (2020). Impacts of COVID-19 and fiscal stimuli on global emissions and the Paris Agreement. Nature Climate Change, 11, 200–206. https://doi.org/10.1038/s41558-020-00977-5
Shi, X., Chen, J., Gu, L., Xu, C.-Y., Chen, H., & Zhang, L. (2021). Impacts and socioeconomic exposures of global extreme precipitation events in 1.5 and 2.0 °C warmer climates. Science of the Total Environment, 766, 142665. https://doi.org/10.1016/j.scitotenv.2020.142665
Sklar, M. (1959). Fonctions de Répartition À N dimensions et leurs marges. UniversitéParis. 8. https://books.google.it/books?id=nreSmAEACAAJ.
Song, Y., Liang, D., Liu, T., & Song, X. (2018). How China’s current carbon trading policy affects carbon price? An investigation of the Shanghai Emission Trading Scheme pilot. Journal of Cleaner Production, 181, 374–384. https://doi.org/10.1016/j.jclepro.2018.01.102
Song, Y., Liu, T., Ye, B., Zhu, Y., Li, Y., & Song, X. (2019). Improving the liquidity of China’s carbon market: Insight from the effect of carbon price transmission under the policy release. Journal of Cleaner Production, 239, 118049. https://doi.org/10.1016/j.jclepro.2019.118049
Tang, B., Li, R., Yu, B., An, R., & Wei, Y.-M. (2018). How to peak carbon emissions in China’s power sector: A regional perspective. Energy Policy, 120, 365–381. https://doi.org/10.1016/j.enpol.2018.04.067
Vera, S., & Sauma, E. (2015). Does a carbon tax make sense in countries with still a high potential for energy efficiency? Comparison between the reducing-emissions effects of carbon tax and energy efficiency measures in the Chilean case. Energy, 88, 478–488. https://doi.org/10.1016/j.energy.2015.05.067
Wang, A., & Lin, B. (2020). Structural optimization and carbon taxation in China’s commercial sector. Energy Policy, 140, 111442. https://doi.org/10.1016/j.enpol.2020.111442
Wang, L., Yin, K., Cao, Y., & Li, X. (2018). A new grey relational analysis model based on the characteristic of inscribed core (IC-GRA) and its application on seven-pilot carbon trading markets of China. International Journal of Environmental Research and Public Health, 16(1), 99. https://doi.org/10.3390/ijerph16010099
Wang, Z.-J., & Zhao, L.-T. (2021). The impact of the global stock and energy market on EU ETS: A structural equation modelling approach. Journal of Cleaner Production, 289, 125140. https://doi.org/10.1016/j.jclepro.2020.125140
Wen, F., Wu, N., & Gong, X. (2020a). China’s carbon emissions trading and stock returns. Energy Economics, 86, 104627. https://doi.org/10.1016/j.eneco.2019.104627
Wen, F., Zhao, L., He, S., & Yang, G. (2020b). Asymmetric relationship between carbon emission trading market and stock market: Evidences from China. Energy Economics, 91, 104850. https://doi.org/10.1016/j.eneco.2020.104850
Wen, Y., Hu, P., Li, J., Liu, Q., Shi, L., Ewing, J., & Ma, Z. (2020). Does China’s carbon emissions trading scheme really work? A case study of the Hubei pilot. Journal of Cleaner Production, 277, 124151. https://doi.org/10.1016/j.jclepro.2020.124151
Xie, Z., Wu, R., & Wang, S. (2021). How technological progress affects the carbon emission efficiency? Evidence from national panel quantile regression. Journal of Cleaner Production, 307, 127133. https://doi.org/10.1016/j.jclepro.2021.127133
Yang, L., & Li, Z. (2017). Technology advance and the carbon dioxide emission in China—Empirical research based on the rebound effect. Energy Policy, 101, 150–161. https://doi.org/10.1016/j.enpol.2016.11.020
Yin, J., Zhu, Y., & Fan, X. (2021). Correlation analysis of China’s carbon market and coal market based on multi-scale entropy. Resources Policy, 72, 102065. https://doi.org/10.1016/j.resourpol.2021.102065
Yuan, N., & Yang, L. (2020). Asymmetric risk spillover between financial market uncertainty and the carbon market: A GAS–DCS–copula approach. Journal of Cleaner Production, 259, 120750. https://doi.org/10.1016/j.jclepro.2020.120750
Zeb, R., Salar, L., Awan, U., Zaman, K., & Shahbaz, M. (2014). Causal links between renewable energy, environmental degradation and economic growth in selected SAARC countries: Progress towards green economy. Renewable Energy, 71, 123–132. https://doi.org/10.1016/j.renene.2014.05.012
Zeng, S., Jia, J., Su, B., Jiang, C., & Zeng, G. (2021). The volatility spillover effect of the European Union (EU) carbon financial market. Journal of Cleaner Production, 282, 124394. https://doi.org/10.1016/j.jclepro.2020.124394
Zeng, S., Nan, X., Liu, C., & Chen, J. (2017). The response of the Beijing carbon emissions allowance price (BJC) to macroeconomic and energy price indices. Energy Policy, 106, 111–121. https://doi.org/10.1016/j.enpol.2017.03.046
Zhou, K., & Li, Y. (2019). Influencing factors and fluctuation characteristics of China’s carbon emission trading price. Physica a: Statistical Mechanics and Its Applications, 524, 459–474. https://doi.org/10.1016/j.physa.2019.04.249
Zhu, B., Ye, S., Han, D., Wang, P., He, K., Wei, Y.-M., & Xie, R. (2019). A multiscale analysis for carbon price drivers. Energy Economics, 78, 202–216. https://doi.org/10.1016/j.eneco.2018.11.007
Zhu, B., Zhou, X., Liu, X., Wang, H., He, K., & Wang, P. (2020). Exploring the risk spillover effects among China’s pilot carbon markets: A regular vine copula-CoES approach. Journal of Cleaner Production, 242, 118455. https://doi.org/10.1016/j.jclepro.2019.118455
Zhu, M., Yuen, K. F., Ge, J. W., & Li, K. X. (2018). Impact of maritime emissions trading system on fleet deployment and mitigation of CO2 emission. Transportation Research Part D: Transport and Environment, 62, 474–488. https://doi.org/10.1016/j.trd.2018.03.016
Acknowledgements
The authors would like to express their gratitude to EditSprings (https://www.editsprings.com/) for the expert linguistic services provided.
Funding
This work was supported by the National Nature Science Foundation of China (Grant Number 71703123; 72173096); the Fundamental Research Funds for the Central Universities (Grant Number 2452019117); the Humanities and Social Sciences project of the Ministry of Education of China (Grant Number 18YJC910011).
Author information
Authors and Affiliations
Contributions
SZ: Conceptualization, Methodology, Software, Writing—original draft. HJ: Conceptualization, Methodology, Supervision, Writing—review & editing, Funding acquisition, Project administration. MT: Supervision, Writing—review& editing, Funding acquisition. BW: Writing—review.
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhang, S., Ji, H., Tian, M. et al. High-dimensional nonlinear dependence and risk spillovers analysis between China’s carbon market and its major influence factors. Ann Oper Res 345, 831–860 (2025). https://doi.org/10.1007/s10479-022-04770-9
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10479-022-04770-9