Skip to main content
Log in

Grey Lotka-Volterra model for the co-evolution of technological innovation, resource consumption, environmental quality, and high-quality industrial development in Shaanxi Province, China

  • Research Article
  • Published:
Environmental Science and Pollution Research Aims and scope Submit manuscript

Abstract

The rapid industrialization and the lack of technological innovation over the past 40 years have caused serious environmental pollution and waste of resources. Therefore, it remains an urgent challenge to coordinate technological innovation, resource consumption, environmental quality, and high-quality industrial development in China. Using the data of Shaanxi Province from 2005 to 2019, in this paper, we adopt the 4-population grey Lotka-Volterra model (GLV) to study the competition and cooperation among technological innovation (TI), resource consumption (RE), environmental quality (EE), and industrial development quality (IQ). We also discuss the equilibrium point and stability of the GLV model and further verify its accuracy. We conduct an empirical study of the data of Shaanxi Province, and the results demonstrate that (1) TI is able to improve EE, increase IQ, and promote RE; (2) conserving resources has a positive effect on TI, EE, and IQ; (3) although EE could prevent TI and IQ, it can reduce RE; and (4) IQ can effectively reduce RE and improve EE; however, it hinders TI. (5) The result of equilibrium analysis reveals that the evolution of the four factors will tend to reach a stable equilibrium point in the future, that is, realizing co-evolution.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data availability

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

Download references

Funding

This work is supported by the National Natural Science Foundation of China (grant numbers 71874134), Natural Science Basic Research Program-Key Project of Shaanxi Province, China (grant number 2019JZ-30), and Social Science Fund Project of Shaanxi Province, China (grant number 2018S49, 2017S035).

Author information

Authors and Affiliations

Authors

Contributions

Zhang developed the design of the manuscript and prepared the draft manuscript and figures. Huang reviewed the scientific literature, designed the final manuscript structure, and supervised the final version of the manuscript.

Corresponding author

Correspondence to Yi Zhang.

Ethics declarations

Ethics approval

Not applicable.

Consent to participate

Not applicable.

Consent for publication

Not applicable.

Conflict of interest

The authors declare no competing interests.

Additional information

Responsible Editor: Ilhan Ozturk

Publisher’s note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Y., Huang, G. Grey Lotka-Volterra model for the co-evolution of technological innovation, resource consumption, environmental quality, and high-quality industrial development in Shaanxi Province, China. Environ Sci Pollut Res 28, 57751–57768 (2021). https://doi.org/10.1007/s11356-021-14656-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11356-021-14656-1

Keywords

Navigation