Abstract
The GM(1,N) model can consider the impact of many factors on a system, but it is only suitable for short-term prediction of small samples, and its ability to mine data information is weak. In response to this problem, the BP neural network is introduced, and the powerful function approximation ability of neural networks is used to approximate the GM(1,N) model. A new GM(1,N)-BP neural network model is proposed to predict the agricultural grey water footprint in Henan Province. On this basis, the future development trend of agricultural grey water footprint is analyzed. The results show that, after comparison and verification, the new GM(1,N)-BP neural network combination model can greatly improve the prediction accuracy of grey water footprint. From 2021 to 2025, the model predicts that the agricultural grey water footprint of Henan Province will continue to rise, with an increase of 17% compared with 2020. Spatially, the grey water footprint increases from north to south, and in the east–west direction, it is high at both ends and low in the middle, but it is higher in the west than in the east.
Similar content being viewed by others
References
Allocca V, Marzano E, Tramontano M et al (2018) Environmental impact of cattle grazing on a karst aquifer in the southern Apennines (Italy): quantification through the grey water footprint. Ecol Ind 93:830–837
Cai KX, Xia WG (2017) The abatement path of agricultural pollution in the background of supply side reform in agriculture sector. Social Sci Yunnan 6:53–57+103+185
Cai J, Yan Q (2018) Measurement and GM(1, 1) prediction of grey water footprint in Gansu Province under “The belt and road” initiative. J Irrigation Drainage 37:115–121
Cai J, Yan Q, Wang Y (2018) The evaluation on water footprint and performance for potato production in Gansu Province—based on an empirical forecast study of GM(1,1) model. J Agric Mech Res 40:1–7
Cheng P, Chen D, Wang J (2021) Research on underwear pressure prediction based on improved GA-BP algorithm. Int J Cloth Sci Technol 33:619–642
Ding S, Dang Y, Xu N et al (2018) A novel grey model based on the trends of driving factors and its application. J Grey Syst 30:105–126
Dong XY, Bai XL, Tang TQ (2015) Prediction of college graduates’ employ-ability based on the improved BP neural network. J Yibin Univ 15(6):93–96
Fang K (2015) Footprint family: concept, classification, theoretical framework and integrated pattern. Acta Ecol Sin 35:1–17
Feng YT, Zhang YF (2018) An Analysis of the evolution features of the economic barycenter and the industrial barycenter of the Central Henan urban agglomeration. J Manag 31(6):10–20
Fu Y, Liu L, Qi X et al (2015) Environmental effects evaluation for grain production based on grey water footprint in Dongting Lake area. Trans Chinese Soc Agric Eng 31:152–160
Gai L, Xie G, Li S et al (2010) A study on production water footprint of winter-wheat and maize in the North China plain. Resour Sci 32:2066–2071
Guo X, Liu S, Wu L et al (2015) A multi-variable grey model with a self-memory component and its application on engineering prediction. Eng Appl Artif Intell 42:82–93
He M, Wang Q (2013) New algorithm for GM(1, N) modeling based on Simpson formula. Syst Eng Theory Pract 33:199–202
He F, Zhang L (2018) Prediction model of end-point phosphorus content in BOF steelmaking process based on PCA and BP neural network. J Process Control 66:51–58
Hoekstra AY, Chapagain AK (2011a) Globalization of water: Sharing the planet’s freshwater resources. John Wiley & Sons
Hoekstra AY, Chapagain AK, Aldaya MM, et al (2011b) The water footprint assessment manual: Setting the global standard. Routledge
Huang W (2018) The evaluation and forecast of the gray water footprint in the Upstream of Dahuofang Reservoi. Dissertation, Shenyang Agricultural University
Jiang X, Han L, Li F (2021) Study on temporal and spatial changes of grey water footprints of main crops in Shaanxi Province. Agric Res Arid Areas 39:210–215
Li B (2002) Influence of dimensionless processing of original data on grey relational order. J Henan Agric Univ 36:199–202
Li P, Yan X, Xu D (2014) Comparison of grain yield spatial distribution forecast between the models of BP neural network and multiple linear regression. J Arid Land Resour Environ 28:74–79
Li M, He Q, Liu H (2020a) Analysis of water footprint changes and influencing factors of main grain crops in the middle and lower reaches of the Shule River Basin. Water Saving Irrigation 94–99:105
Li S, Wang Y, Luo J et al (2020b) Spatio-temporal variations and driving factors of grey water footprint in Fujian Province. Acta Ecol Sin 40:7952–7965
Li BJ, Zhang YF, Zhang SH et al (2021) Prediction of Grain Yield in Henan Province based on grey bp neural network model. Discrete Dyn Nat Soc. https://doi.org/10.1155/2021/9919332
Liu S, Yang Y, Xie N et al (2016) New progress of grey system theory in the new millennium. Grey Syst 6:2–31
Mao S, Gao M, Xiao X (2015) Fractional order accumulation time-lag GM(1, N, τ) model and its application. Syst Eng Theory Pract 35:430–436
Ren H, Ma X, Liu H (2015) Improvement of input evaluation for giant projects based on GA-BP neural network. Syst Eng Theory Pract 35:1474–1481
Shi J, Xiong P, Yang Y et al (2021) Forecasting smog in Beijing using a novel time-lag GM (1, N) model based on interval grey number sequences. Grey Syst 11:754–778
State Environmental Protection Administration, General Administration of Quality Supervision (2002) Inspection and Quarantine, BeiJing: Environmental Quality Standard for Surface Water GB3838. Standards Press of China, Beijing
Tien TL (2012) A research on the grey prediction model GM (1, n). Appl Math Comput 218:4903–4916
Tong G (2019) Efficiency sudy and driving factor analysis of agricultural grey water footprint in Huaihe river basin. Dissertation, Nanjing Forestry University
Wang ZX (2015) Multivariable time-delayed GM(1, N) model and its application. Control Decis 30:2298–2304
Wang B, Gao YT (2014) BP neural network model on choice of project manager for highway slope treatment. Applied Mechanics and Materials. Trans Tech Publications Ltd 505:274–277
Wang S, Lin Y (2021) Spatial evolution and its drivers of regional agro-ecological efficiency in China’s from the perspective of water footprint and gray water footprint. Scientia Geographica Sinica 41:290–301
Wang L, Zhang Y, Jia L et al (2019) Spatial characteristics and implications of grey water footprint of major food crops in China. Water 11:220
Wickramasinghe WMS, Navaratne CM, Dias SV (2018) Building resilience on water quality management through grey water footprint approach: a case study from Sri Lanka. Procedia Eng 212:752–759
Wu L, Liu S, Liu D et al (2015) Modelling and forecasting CO2 emissions in the BRICS (Brazil, Russia, India, China, and South Africa) countries using a novel multi-variable grey model. Energy 79:489–495
Xiong P, Shi J, Pei L et al (2019) A novel linear time-varying GM (1, N) model for forecasting haze: a case study of Beijing China. Sustainability 11:3832
Xiong P, He Z, Chen S et al (2020) A novel GM (1, N) model based on interval gray number and its application to research on smog pollution. Kybernetes 49:753–778
Xu N, Ding S, Gong Y et al (2019) Forecasting Chinese greenhouse gas emissions from energy consumption using a novel grey rolling model. Energy 175:218–227
Yang Y, Dong L, Guan L (2014) The prediction of grain production based on rough set and BP neural network. J Agric Mech Res 36:34–37
Yang S, Luo L, Tan B (2021) Research on sports performance prediction based on BP neural network. Mob Inf Syst. https://doi.org/10.1155/2021/5578871
Yao Y, Yang G, Wang L et al (2017) IPAT model-based prediction and analysis on grey water footprint of Hebei Province. Water Resour Hydropower Eng 48:36–42
Zeng B, Duan H, Bai Y et al (2018) Forecasting the output of shale gas in China using an unbiased grey model and weakening buffer operator. Energy 151:238–249
Zhan T, Wang Z, Tang K, et al (2021) Improved the global optimization algorithm of GM(1, N) model and its application. J Appl Stat Management 40(5):851–858
Zhang J, Pan G (2013) Comparison and application of multiple regression and BP neural network prediction model. J Kunming Univ Sci Technol 38:61–67
Zhang Y, Huang K, Yu Y et al (2020) An uncertainty-based multivariate statistical approach to predict crop water footprint under climate change: a case study of Lake Dianchi Basin, China. Nat Hazards 104:91–110
Funding
This work is supported by the Key R&D and Promotion Projects of Henan Province (Soft Science) (222400410352).
Author information
Authors and Affiliations
Contributions
WL was responsible for data processing and writing of the first draft of the manuscript. WM was responsible for for drawing pictures and revising the paper. BL was responsible for proposing the overall idea and framework of the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no conflicts of interest.
Additional information
Handling Editor: Luiz Duczmal.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Li, W., Li, B. & Ma, W. Prediction of agricultural grey water footprint in Henan Province based on GM(1,N)-BP neural network. Environ Ecol Stat 30, 335–354 (2023). https://doi.org/10.1007/s10651-023-00559-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10651-023-00559-6