Skip to main content

Advertisement

Log in

A novel grey Bass extended model considering price factors for the demand forecasting of European new energy vehicles

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

The vigorous development of new energy vehicles (NEVs) has become an effective approach for achieving carbon emission reduction and carbon neutrality goals. The prediction of the demand for NEVs can provide quantitative decision-making basis for governments and enterprises. In consideration of the condition under which the demand for NEVs is affected by subsidy policy and limited samples, a novel demand forecasting model for NEVs is constructed based on the improved Bass model and grey theory in this study. First, the price function is introduced into the improved Bass model to establish a differential equation of demand for NEVs. Considering the limited samples, the differential equation model is transformed into a grey Bass extended model (GBEM). Second, the parameters of GBEM are estimated using the least squares method, the time response sequence is obtained through the Gaussian hypergeometric function, and the background value is optimized using the particle swarm optimization algorithm. Third, three data sets from Norway, France, and Europe are studied to confirm the validity. The calculation results show that the proposed model achieves higher accuracy than six existing models, and the MAPE of the model are all below 10% in three cases. Lastly, GBEM is applied to predict the demand for NEVs in the three aforementioned regions from 2020 to 2023. The results show that the demand for NEVs in Norway, France, and Europe in 2023 are 343,860, 280,685 and 2,157,908, with an average annual growth rate of 46.3133%, 47.1837% and 40.0457%, respectively, which provide a certain reference value for the formulation of national government policies and the production activities of NEV enterprises.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig.3
Fig. 4

Similar content being viewed by others

References

  1. European Commission (2019) Communication from the Commission: The European Green Deal. COM (2019) 640 Final

  2. Guille des ButtesJeanneretKéromnès ABA et al (2020) Energy management strategy to reduce pollutant emissions during the catalyst light-off of parallel hybrid vehicles. Appl Energy. https://doi.org/10.1016/j.apenergy.2020.114866

    Article  Google Scholar 

  3. Su CW, Yuan X, Tao R, Umar M (2021) Can new energy vehicles help to achieve carbon neutrality targets? J Environ Manage. https://doi.org/10.1016/j.jenvman.2021.113348

    Article  Google Scholar 

  4. Jiali J, Yuanyuan L, Zhenyang Z, Jun W (2021) Optimal production decision of new energy vehicle and traditional fuel vehicle. J Intell Fuzzy Syst. https://doi.org/10.3233/jifs-189918

    Article  Google Scholar 

  5. Zheng S, Huang J (2018) New energy vehicles sales prediction method and empirical eesearch under the environment of big data.

  6. Tan T, Huang Z, Lin Y, Bi G (2020) Big data driven demand analysis of new energy vehicles. Renew Energy Resour. https://doi.org/10.13941/j.cnki.21-1469/tk.2020.07.019

  7. Ma J, Wang N, Kong D (2009) Market forecasting modeling study for new energy vehicle based on AHP and logit regression. Tongji Daxue Xuebao/Journal Tongji Univ

  8. Wang Z, Guo D, Wang H (2019) Sales forecast of Chinese new energy vehicles based on wavelet and BP neural network. In: Proceedings - 2019 18th International Symposium on Distributed Computing and Applications for Business Engineering and Science, DCABES 2019

  9. Bass FM (1969) A simultaneous equation regression study of advertising and sales of cigarettes. J Mark Res. https://doi.org/10.2307/3150135

    Article  Google Scholar 

  10. Bass FM (1969) A new product growth for model consumer durables. Manage Sci. https://doi.org/10.1287/mnsc.15.5.215

    Article  MATH  Google Scholar 

  11. Robinson B, Lakhani C (1975) Dynamic price models for new-product planning. Manage Sci. https://doi.org/10.1287/mnsc.21.10.1113

    Article  MATH  Google Scholar 

  12. Bass FM (1980) The relationship between diffusion rates, experience curves, and demand elasticities for consumer durable technological innovations. J Bus. https://doi.org/10.1086/296099

    Article  Google Scholar 

  13. Dolan RJ, Jeuland AP (1981) Experience curves and dynamic demand models: Implications for optimal pricing strategies. J Mark. https://doi.org/10.1177/002224298104500106

    Article  Google Scholar 

  14. Kalish S (1983) Monopolist pricing with dynamic demand and production cost. Mark Sci. https://doi.org/10.1287/mksc.2.2.135

    Article  Google Scholar 

  15. Easingwood CJ, Mahajan V, Muller E (1983) A nonuniform influence innovation diffusion model of new product acceptance. Mark Sci. https://doi.org/10.1287/mksc.2.3.273

    Article  Google Scholar 

  16. Xu Y, Li L (2020) Effects of price factors on the promotion of new energy vehicles. Sci Technol Ind 20:109–114

    Google Scholar 

  17. Liu T, Chen K (2016) Research on the diffusion model of China's new energy vehicles based on the Bass model. Enterp Econ. https://doi.org/10.13529/j.cnki.enterprise.economy.2016.03.021

  18. Li Y, Ma G, Li L (2017) Development of a generalization Bass diffusion model for Chinese electric vehicles considering charging stations. In: Proceedings - 2017 5th International Conference on Enterprise Systems: Industrial Digitalization by Enterprise Systems, ES 2017

  19. Zeng M, Zeng F, Zhu X, Xue S (2013) Forecast of electric vehicles in China based on Bass model. Electr Power 1:36–39

    Google Scholar 

  20. Liu Y, Wang M, Wang J (2106) The predictive research on China's new energy vehicles market. Res Econ Manage. https://doi.org/10.13502/j.cnki.issn1000-7636.2016.04.012

  21. Zhou J, Zhang T, Hu P (2020) Development forecast of new energy vehicles based on grey forecast. Electron World. https://doi.org/10.19353/j.cnki.dzsj.2020.03.007

  22. Zhou Y, Wang H (2019) Research on monthly sales forecasting model of new energy vehicles in China. Softw Guide 18:149–153

    Google Scholar 

  23. He LY, Pei LL, Yang YH (2020) An optimised grey buffer operator for forecasting the production and sales of new energy vehicles in China. Sci Total Environ. https://doi.org/10.1016/j.scitotenv.2019.135321

    Article  Google Scholar 

  24. Pei LL, Li Q (2019) Forecasting quarterly sales volume of the new energy vehicles industry in China using a data grouping approach-based nonlinear grey Bernoulli model. Sustain. https://doi.org/10.3390/su11051247

    Article  Google Scholar 

  25. Luo D, Zhang J (2012) The development model of new energy vehicle in Henan Province based on the weighted grey target decision. Grey Syst Theory Appl. https://doi.org/10.1108/20439371211273320

    Article  Google Scholar 

  26. Ding S, Li R, Wu S (2021) A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales. Commun Nonlinear Sci Numer Simul. https://doi.org/10.1016/j.cnsns.2021.105847

    Article  MathSciNet  MATH  Google Scholar 

  27. Abu N, Ismail Z (2015) Forecasting sales of new vehicle with limited data using Bass diffusion model and grey theory. In: AIP Conference Proceedings

  28. Li S, Chen H, Zhang G (2017) Comparison of the short-term forecasting accuracy on battery electric vehicle between modified bass and Lotka-Volterra model: a case study of China. J Adv Transp. https://doi.org/10.1155/2017/7801837

    Article  Google Scholar 

  29. Wang FK, Hsiao YY, Chang KK (2012) Combining diffusion and grey models based on evolutionary optimization algorithms to forecast motherboard shipments. Math Probl Eng. https://doi.org/10.1155/2012/849634

    Article  Google Scholar 

  30. Wang ZX, Dang YG, Pei LL (2011) On greying bass model and its application. J Grey Syst 23:7–14

    Google Scholar 

  31. Wang ZX (2013) A new grey bass equation for modelling new product diffusion. In: Applied Mechanics and Materials

  32. Wang Y, Pei L, Wang Z (2017) The nls-based grey bass model for simulating new product diffusion. Int J Mark Res. https://doi.org/10.2501/IJMR-2017-045

    Article  Google Scholar 

  33. Yu F, Wang L, Li X (2020) The effects of government subsidies on new energy vehicle enterprises: the moderating role of intelligent transformation. Energy Policy. https://doi.org/10.1016/j.enpol.2020.111463

    Article  Google Scholar 

  34. Zhou N, Wu Q, Hu X (2020) Research on the policy evolution of China’s new energy vehicles industry. Sustain. https://doi.org/10.3390/su12093629

    Article  Google Scholar 

  35. Yuan X, Liu X, Zuo J (2015) The development of new energy vehicles for a sustainable future: a review. Renew Sustain Energy Rev

  36. Han L (2019) Research on private consumer's value perception and adoption intention of electric vehicles. USTC

  37. Sun X, Xu S (2018) The impact of government subsidies on consumer preferences for alternative fuel vehicles. J Dalian Univ Technol https://doi.org/10.19525/j.issn1008-407x.2018.03.002

  38. Ren B, Shao S, You J (2013) Development of a generalized Bass model for Chinese electric vehicles based on innovation diffusion theory. Soft Sci 27:17–22

    Google Scholar 

  39. Ye L, Xie N, Hu A (2021) A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors. Appl Math Model. https://doi.org/10.1016/j.apm.2020.09.045

    Article  MATH  Google Scholar 

  40. Chiu YJ, Hu YC, Jiang P et al (2020) A multivariate grey prediction model using neural networks with application to carbon dioxide emissions forecasting. Math Probl Eng. https://doi.org/10.1155/2020/8829948

    Article  Google Scholar 

  41. Duan H, Luo X (2020) Grey optimization verhulst model and its application in forecasting coal-related CO2 emissions. Environ Sci Pollut Res. https://doi.org/10.1007/s11356-020-09572-9

    Article  Google Scholar 

  42. Mansfield E (1961) Technical change and the rate of imitation. Econometrica. https://doi.org/10.2307/1911817

    Article  MATH  Google Scholar 

  43. Floyd A (1962) Trend forecasting: a methodology for figure of merit. Technological forecasting for industry and government.

  44. Zhan C, Yeung LF (2011) Parameter estimation in systems biology models using spline approximation. BMC Syst Biol. https://doi.org/10.1186/1752-0509-5-14

    Article  Google Scholar 

  45. Wen J, Wu C, Zhang R et al (2020) Rear-end collision warning of connected automated vehicles based on a novel stochastic local multivehicle optimal velocity model. Accid Anal Prev. https://doi.org/10.1016/j.aap.2020.105800

    Article  Google Scholar 

  46. Wu W, Ma X, Zeng B et al (2020) Forecasting short-term solar energy generation in Asia Pacific using a nonlinear grey Bernoulli model with time power term. Energy Environ. https://doi.org/10.1177/0958305X20960700

    Article  Google Scholar 

  47. Wu W, Ma X, Zhang Y et al (2020) A novel conformable fractional non-homogeneous grey model for forecasting carbon dioxide emissions of BRICS countries. Sci Total Environ 707:135447. https://doi.org/10.1016/j.scitotenv.2019.135447

    Article  Google Scholar 

  48. Xiao Q, Gao M, Xiao X, Goh M (2020) A novel grey Riccati-Bernoulli model and its application for the clean energy consumption prediction. Eng Appl Artif Intell. https://doi.org/10.1016/j.engappai.2020.103863

    Article  Google Scholar 

  49. Duan H, Xiao X, Xiao Q (2020) An inertia grey discrete model and its application in short-term traffic flow prediction and state determination. Neural Comput Appl. https://doi.org/10.1007/s00521-019-04364-w

    Article  Google Scholar 

  50. Wang MK, Chu YM, Song YQ (2016) Asymptotical formulas for Gaussian and generalized hypergeometric functions. Appl Math Comput. https://doi.org/10.1016/j.amc.2015.11.088

    Article  MathSciNet  MATH  Google Scholar 

  51. Ancarani LU, Gasaneo G (2009) Derivatives of any order of the Gaussian hypergeometric function 2F1(a, b, c; Z) with respect to the parameters a, b and c. J Phys A Math Theor. https://doi.org/10.1088/1751-8113/42/39/395208

    Article  MATH  Google Scholar 

  52. Xiao X, Duan H (2020) A new grey model for traffic flow mechanics. Eng Appl Artif Intell 88:103350. https://doi.org/10.1016/j.engappai.2019.103350

    Article  Google Scholar 

  53. Xiao Q, Shan M, Gao M et al (2020) Parameter optimization for nonlinear grey Bernoulli model on biomass energy consumption prediction. Appl Soft Comput J. https://doi.org/10.1016/j.asoc.2020.106538

    Article  Google Scholar 

  54. Chen H, Xiao X, Wen J (2020) Novel multivariate compositional data’s model for structurally analyzing sub-industrial energy consumption with economic data. Neural Comput Appl. https://doi.org/10.1007/s00521-020-05227-5

    Article  Google Scholar 

  55. Zhan C, Wu F, Huang Z et al (2020) Analysis of collective action propagation with multiple recurrences. Neural Comput Appl. https://doi.org/10.1007/s00521-020-04756-3

    Article  Google Scholar 

  56. Zhan C, Li B, Zhong X et al (2020) A model for collective behaviour propagation: a case study of video game industry. Neural Comput Appl. https://doi.org/10.1007/s00521-018-3686-8

    Article  Google Scholar 

  57. Liu L, Wang Q, Wang J, Liu M (2016) A rolling grey model optimized by particle swarm optimization in economic prediction. Comput Intell. https://doi.org/10.1111/coin.12059

    Article  MathSciNet  Google Scholar 

  58. Xiao Q, Shan M, Gao M et al (2021) Evaluation of the coordination between china’s technology and economy using a grey multivariate coupling model. Technol Econ Dev Econ. https://doi.org/10.3846/tede.2020.13742

    Article  Google Scholar 

  59. Gao M, Yang H, Xiao Q et al (2022) A novel method for carbon emission forecasting based on Gompertz’s law and fractional grey model: evidence from American industrial sector. Renew Energy. https://doi.org/10.1016/j.renene.2021.09.07

    Article  Google Scholar 

Download references

Acknowledgements

The authors are grateful to the editor for their valuable comments. This work is supported by the National Natural Science Foundation of China (71871174).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinping Xiao.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests of this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

See Table

Table 8 Simulation and prediction values of NEVs in Norway, France, Europe by using GBEM, GM(1,1), DGM(1,1), Bass model, Mansfield model, SVR and ANN

8

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, X., Xiao, X. & Guo, H. A novel grey Bass extended model considering price factors for the demand forecasting of European new energy vehicles. Neural Comput & Applic 34, 11521–11537 (2022). https://doi.org/10.1007/s00521-022-07041-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-022-07041-7

Keywords

Navigation