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Meteorological sequence prediction based on multivariate space-time auto regression model and fractional calculus grey model

Author

Listed:
  • Wang, Li
  • Xie, Yuxin
  • Wang, Xiaoyi
  • Xu, Jiping
  • Zhang, Huiyan
  • Yu, Jiabin
  • Sun, Qian
  • Zhao, Zhiyao

Abstract

Meteorological data is the basis for climate prediction and various scientific research. It is very important to study and prediction meteorological data. At present, the prediction methods for meteorological data are mainly a single intelligent method or a single point time series method based on time series data, which ignoring the interaction between meteorological sites and multiple meteorological factors. In this paper, Meteorological space-time data is decomposed into high frequency component and low frequency component by Hilbert Huang Transform. The high frequency component is modeling and predicting by fractional calculus grey model. The low frequency component is modeling and predicting by multivariate space-time auto regression model. The model verification results show that compared with the existing time series prediction methods, this method can more fully explain the non-stationary and nonlinear dynamic process of multivariate meteorological space-time sequences.

Suggested Citation

  • Wang, Li & Xie, Yuxin & Wang, Xiaoyi & Xu, Jiping & Zhang, Huiyan & Yu, Jiabin & Sun, Qian & Zhao, Zhiyao, 2019. "Meteorological sequence prediction based on multivariate space-time auto regression model and fractional calculus grey model," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 203-209.
  • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:203-209
    DOI: 10.1016/j.chaos.2019.07.056
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    Cited by:

    1. Yani Wang & Mingyi Du & Lei Zhou & Guoyin Cai & Yongliang Bai, 2019. "A Novel Evaluation Approach of County-Level City Disaster Resilience and Urban Environmental Cleanliness Based on SDG11 and Deqing County’s Situation," Sustainability, MDPI, vol. 11(20), pages 1-13, October.
    2. Wu, Wen-Ze & Zeng, Liang & Liu, Chong & Xie, Wanli & Goh, Mark, 2022. "A time power-based grey model with conformable fractional derivative and its applications," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Fendzi-Donfack, Emmanuel & Kamkou Temgoua, Gildas William & Djoufack, Zacharie Isidore & Kenfack-Jiotsa, Aurélien & Nguenang, Jean Pierre & Nana, Laurent, 2022. "Exotical solitons for an intrinsic fractional circuit using the sine-cosine method," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. Zhang, Yonghong & Mao, Shuhua & Kang, Yuxiao & Wen, Jianghui, 2021. "Fractal derivative fractional grey Riccati model and its application," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    5. Luo, Xilin & Duan, Huiming & He, Leiyuhang, 2020. "A Novel Riccati Equation Grey Model And Its Application In Forecasting Clean Energy," Energy, Elsevier, vol. 205(C).

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