Abstract
To reach a practical landfill gas management system and to diminish the negative environmental impacts from landfills, accurate methane (CH4) prediction is essential. In this study, the preprocessing steps including minimizing multicollinearity, removal of outliers, and errors with missing data imputation are applied to enhance the data quality. This study is the first at employing periodic parameters in the two-stage non-linear auto-regressive model with exogenous inputs (NARX) with the aim of providing a convenient and precise approach to predict the daily CH4 collection rate from a municipal landfill in Regina, SK, Canada. Using a stepwise procedure, various volumes of training data were assessed, and concluded that employing the 3-year training data reduced the mean absolute percentage error (MAPE) of the CH4 prediction model by 26.97% at the testing stage. The favorable artificial neural network model performance was obtained using the day of the year (DOY) as a sole input of the time series model with MAPE of 2.12% showing its acceptable ability in CH4 prediction. Using an only DOY-based model is especially remarkable because of its simplicity and high accuracy showing a convenient and effective approach in time landfill gas modeling, particularly for the landfills with no reliable climatic data.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available from City of Regina Solid Waste Department but restrictions apply to the availability of these data, which were used under license for the current study, and so are not publicly available. Data are however available from the authors upon reasonable request and with permission of City of Regina Solid Waste Department.
Abbreviations
- ANN:
-
Artificial neural network
- CH4:
-
Methane
- CO2 :
-
Carbon dioxide
- DOY:
-
Day of the year
- DPMax:
-
Maximum dew point
- DPMean:
-
Mean dew point
- DPMin:
-
Minimum dew point
- GHG:
-
Greenhouse gas
- H Max :
-
Maximum relative humidity
- H Min :
-
Minimum relative humidity
- IA:
-
Index of agreement
- IQR:
-
Inter-quartile range
- LFG:
-
Landfill gas
- LM:
-
Levenberg-Marquardt
- MAPE:
-
Mean absolute percentage error
- MLP:
-
Multilayer perceptrons
- MOY:
-
Month of the year
- MSE:
-
Mean square error
- NARX:
-
Non-linear auto-regressive model with exogenous inputs
- P Max :
-
Maximum air pressure
- P Min :
-
Minimum air pressure
- Q1:
-
First quartiles
- Q3:
-
Third quartiles
- R :
-
Correlation coefficient
- R 2 :
-
Coefficient of determination
- RMSE:
-
Root mean square error
- SCADA:
-
Supervisory Control and Data Acquisition
- T Max :
-
Maximum temperature
- T Mean :
-
Mean temperature
- T Min :
-
Minimum temperature
- W Max :
-
Maximum wind speed
- W Min :
-
Minimum wind speed
References
Abbasi M, El Hanandeh A (2016) Forecasting municipal solid waste generation using artificial intelligence modelling approaches. Waste Manag 56:13–22. https://doi.org/10.1016/j.wasman.2016.05.018
Abushammala MF, Basri NEA, Elfithri R, Younes MK, Irwan D (2014) Modeling of methane oxidation in landfill cover soil using an artificial neural network. J Air Waste Manage Assoc 64(2):150–159. https://doi.org/10.1080/10962247.2013.842510
Adamović VM, Antanasijević DZ, Ćosović AR, Ristić MĐ, Pocajt VV (2018a) An artificial neural network approach for the estimation of the primary production of energy from municipal solid waste and its application to the Balkan countries. Waste Manag 78:955–968. https://doi.org/10.1016/j.wasman.2018.07.012
Adamović VM, Antanasijević DZ, Ristić MĐ, Perić-Grujić AA, Pocajt VV (2018b) An optimized artificial neural network model for the prediction of rate of hazardous chemical and healthcare waste generation at the national level. J Mater Cycles Waste Manag 20:1736–1750. https://doi.org/10.1007/s10163-018-0741-6
Amini HR, Reinhart DR, Niskanen A (2013) Comparison of first-order-decay modeled and actual field measured municipal solid waste landfill methane data. Waste Manag 33:2720–2728. https://doi.org/10.1016/j.wasman.2013.07.025
Arhami M, Kamali N, Rajabi MM (2013) Predicting hourly air pollutant levels using artificial neural networks coupled with uncertainty analysis by Monte Carlo simulations. Environ Sci Pollut Res 20(7):4777–4789. https://doi.org/10.1007/s11356-012-1451-6
Bishop CM (1995) Neural networks for pattern recognition. Oxford University Press
Buevich A, Sergeev A, Shichkin A, Baglaeva E (2020) A two-step combined algorithm based on NARX neural network and the subsequent prediction of the residues improves prediction accuracy of the greenhouse gases concentrations. Neural Comput & Applic. https://doi.org/10.1007/s00521-020-04995-4
Canada Climate Normals (2016) http://climate.weather.gc.ca/climate_normals/results_1981_2010_e.html?searchType=stName&txtStationName=Regina&searchMethod=contains&txtCentralLatMin=0&txtCentralLatSec=0&txtCentralLongMin=0&txtCentralLongSec=0&stnID=3002&dispBack=0. Accessed 15 Oct 2019
Chelani AB, Rao CC, Phadke KM, Hasan MZ (2002) Prediction of sulphur dioxide concentration using artificial neural networks. Environ Model Softw 17(2):159–166. https://doi.org/10.1016/S1364-8152(01)00061-5
Conestoga-Rovers & Associates, 2006. Landfill gas collection system – pre-design brief.
Conestoga-Rovers & Associates (2008) Site plan and LFG collection system layout. In: Regina. Canada. Unpublished report, Saskatchewan
Elangasinghe MA, Singhal N, Dirks KN, Salmond JA (2014) Development of an ANN–based air pollution forecasting system with explicit knowledge through sensitivity analysis. Atmospheric Pollut Res 5(4):696–708. https://doi.org/10.5094/APR.2014.079
Environment Canada, 2015. National Inventory Report: 1990–2013. From United Nations, Publications(2015):http://unfccc.int/national_reports/annex_i_ghg_inventories/national_inventories_submissions/items/8812.php. Accessed 10 Oct 2019.
Fallah, B., Ng, K. T. W., Richter, A., Vu, H. L., Peng, W., Torabi, F. (2020a) Spatial-temporal analysis of dissolved metal pollutants near an unlined municipal landfill in a semi-arid climate. Journal of Environmental Science and Natural Rescores. 2020; 26(2): 556181. DOI: 10.19080/IJESNR.2020.26.556181.
Fallah B, Ng KTW, Vu HL, Torabi F (2020b) Application of a multi-stage neural network approach for time-series landfill gas modeling with missing data imputation. Waste Manag 116:66–78. https://doi.org/10.1016/j.wasman.2020.07.034
Fallah B, Richter A, Ng KTW, Salama A (2019) Effects of groundwater metal contaminant spatial distribution on overlaying Kriged maps. Environ Sci Pollut Res 26(22):22945–22957. https://doi.org/10.1007/s11356-019-05541-z
Feng X, Li Q, Zhu Y, Hou J, Jin L, Wang J (2015) Artificial neural networks forecasting of PM2. 5 pollution using air mass trajectory based geographic model and wavelet transformation. Atmos Environ 107:118–128. https://doi.org/10.1016/j.atmosenv.2015.02.030
Gardner MW, Dorling SR (1999) Neural network modelling and prediction of hourly NOx and NO2 concentrations in urban air in London. Atmos Environ 33(5):709–719. https://doi.org/10.1016/S1352-2310(98)00230-1
Gani A, Mohammadi K, Shamshirband S, Khorasanizadeh H, Danesh AS, Piri J, Zamani M (2016) Day of the year-based prediction of horizontal global solar radiation by a neural network auto-regressive model. Theor Appl Climatol 125(3–4):679–689. https://doi.org/10.1007/s00704-015-1533-8
Hagan MT, Menhaj MB (1994) Training feedforward networks with the Marquardt algorithm. IEEE Trans Neural Netw 5(6):989–993. https://doi.org/10.1109/72.329697
Hamilton LC (1991) Modern data analysis: a first course in applied statistics. Technometrics. Brooks/Cole Pub, Co, Pacific Grove, CA, USA
Hastie, T., Tibshirani, R., & Friedman, J. (2009). The elements of statistical learning: data mining, inference, and prediction, Springer Series in Statistics https://doi.org/10.1007/BF02985802
Intergovernmental Panel on Climate Change (IPCC) (2007) Climate change 2007. The physical science basis. Contribution of Working Group I to the Fourth Assessment Report of the IPCC, New York, Cambridge http://ipcc-wg1.ucar.edu/wg1/wg1-report.html
Jiang D, Zhang Y, Hu X, Zeng Y, Tan J, Shao D (2004) Progress in developing an ANN model for air pollution index forecast. Atmos Environ 38(40):7055–7064. https://doi.org/10.1016/j.atmosenv.2003.10.066
Kannangara M, Dua R, Ahmadi L, Bensebaa F (2018) Modeling and prediction of regional municipal solid waste generation and diversion in Canada using machine learning approaches. Waste Manag 74:3–15. https://doi.org/10.1016/j.wasman.2017.11.057
Karacan CÖ (2008) Modeling and prediction of ventilation methane emissions of U.S. longwall mines using supervised artificial neural networks. Int J Coal Geol 73(3-4):371–387. https://doi.org/10.1016/j.coal.2007.09.003
Khorasanizadeh H, Mohammadi K, JalilvandM (2014) A statistical comparative study to demonstrate the merit of day of the year-based models for estimation of horizontal global solar radiation. Energy Convers Manag 87:37–47. https://doi.org/10.1016/j.enconman.2014.06.086
Kukkonen J, Partanen L, Karppinen A, Ruuskanen J, Junninen H, Kolehmainen M, Cawley G (2003) Extensive evaluation of neural network models for the prediction of NO2 and PM10 concentrations, compared with a deterministic modelling system and measurements in central Helsinki. Atmos Environ 37(32):4539–4550. https://doi.org/10.1016/S1352-2310(03)00583-1
Kumar S, Nimchuk N, Kumar R, Zietsman J, Ramani T, Spiegelman C, Kenney M (2016) Specific model for the estimation of methane emission from municipal solid waste landfills in India. Bioresour Technol 216:981–987. https://doi.org/10.1016/j.biortech.2016.06.050
Lachtermacher G, Fuller JD (1994) Stochastic and statistical methods in hydrology and environmental engineering. In: Hipel KW, McLeod AI, Panu US, Singh VP (eds) Back propagation in hydrological time series forecasting. Kluwer, Dordrecht
Li H, Sanchez R, Joe Qin S, Kavak HI, Webster IA, Tsotsis TT, Sahimi M (2011) Computer simulation of gas generation and transport in landfills. V: Use of artificial neural network and the genetic algorithm for short- and long-term forecasting and planning. Chem Eng Sci 66(12):2646–2659. https://doi.org/10.1016/j.ces.2011.03.013
Maier HR, Dandy GC (2000) Neural networks for the prediction and forecasting of water resources variables: a review of modeling issues and applications. Environ Model Softw 15:101–124. https://doi.org/10.1016/S1364-8152(99)00007-9
Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear parameters. J Soc Ind Appl Math 11(2):431–441. https://doi.org/10.1137/0111030
Moghaddamnia A, Remesan R, Kashani MH, Mohammadi M, Han D, Piri J (2009) Comparison of LLR, MLP, Elman, NNARX and ANFIS Models—with a case study in solar radiation estimation. J Atmos Sol Terr Phys 71(8-9):975–982. https://doi.org/10.1016/j.jastp.2009.04.009
Mohebbi MR, Jashni AK, Dehghani M, Hadad K (2018) Short-term prediction of carbon monoxide concentration using artificial neural network (NARX) without traffic data: case study: Shiraz City. Iranian Journal of Science and Technology, Transactions of Civil Engineering, pp 1–8. https://doi.org/10.1007/s40996-018-0210-4
Mohsen RA, Abbassi B, Dutta A (2019) Assessment of greenhouse gas emissions from Ontario’s solid waste landfills: assessment of improvement scenarios. J Environ Eng 145(8):05019004. https://doi.org/10.1061/(ASCE)EE.1943-7870.0001557
Nabavi-Pelesaraei, A., Bayat, R., Hosseinzadeh-Bandbafha, H., Afrasyabi, H., & Chau, K. W. (2017). Modeling of energy consumption and environmental life cycle assessment for incineration and landfill systems of municipal solid waste management-a case study in Tehran Metropolis of Iran. J Clean Prod, 148, 427-440. https://doi.org/10.1016/j.jclepro.2017.01.172
Ogwueleka T, Ogwueleka F (2010) Modelling energy content of municipal solid waste using artificial neural network. J Environ Health Sci Eng 7(3):259–266
Ozcan HK, Ucan ON, Sahin U, Borat M, Bayat C (2006) Artificial neural network modeling of methane emissions at Istanbul Kemerburgaz-Odayeri landfill site. J Sci Ind Res 65:128–134
Ozkaya B, Demir A, Bilgili MS (2007) Neural network prediction model for the methane fraction in biogas from field-scale landfill bioreactors. Environ Model Softw 22(6):815–822. https://doi.org/10.1016/j.envsoft.2006.03.004
Peel MC, Finlayson BL, McMahon TA (2007) Updated world map of the Köppen-Geiger climate classification. Hydrol Earth Syst Sci Discuss 4(2):439–473
Perera LAK, Achari G, Hettiaratchi JPA (2002) Determination of source strength of landfill gas: a numerical modeling approach. J Environ Eng 128(5):461–471. https://doi.org/10.1061/(ASCE)0733-9372(2002)128:5(461)
Radojević D, Antanasijević D, Perić-Grujić A, Ristić M, Pocajt V (2018) The significance of periodic parameters for ANN modeling of daily SO2 and sssNOx concentrations: a case study of Belgrade, Serbia. Atmos Pollut Res. https://doi.org/10.1016/j.apr.2018.11.004
Rajaram V, Siddiqui FZ, Khan ME (2011) Chapter 2: Planning and design of LFG recovery system. From landfill gas to energy-technologies and challenges (p. 27). CRC Press, Boca Raton
Sahin U, Ucan ON, Bayat C, Oztorun N (2005) Modeling of SO2 distribution in Istanbul using artificial neural networks. Environ Model Assess 10(2):135–142. https://doi.org/10.1007/s10666-004-7262-5
Sahoo S, Jha MK (2013) Groundwater-level prediction using multiple linear regression and artificial neural network techniques: a comparative assessment. Hydrogeol J 21(8):1865–1887. https://doi.org/10.1007/s10040-013-1029-5
Sanchez, J.G. (2016). Development of alternative medium to sustain methanotrophs in methane biofilters (Master’s thesis). University of Calgary, Calgary.
Sarle WS (1996) Stopped training and other remedies for overfitting. Comput Sci Stat:352–360
Scozzari A (2008) Non-invasive methods applied to the case of Municipal Solid Waste landfills (MSW): analysis of long-term data. Adv Geosci 19:33–38. https://doi.org/10.5194/adgeo-19-33-2008
Sergeev, A., Shichkin, A., & Buevich, A. (2018). Time series forecasting of methane concentrations in the surface layer of atmospheric air in Arctic region. In AIP Conference Proceedings (Vol. 2048, No. 1, p. 060005). AIP Publishing. https://doi.org/10.1063/1.5082120
Shahin MA, Jaksa MB, Maier HR (2008) State of the art of artificial neural networks in geotechnical engineering. Electron J Geotech Eng 8(1):1–26
Shi JJ (2002) Clustering technique for evaluating and validating neural network performance. J Comput Civ Eng 16(2):152–155. https://doi.org/10.1061/(ASCE)0887-3801(2002)16:2(152)
Singh D, Satija A (2018) Prediction of municipal solid waste generation for optimum planning and management with artificial neural network—case study: Faridabad City in Haryana State (India). Int J Syst Assur Eng Manag 9(1):91–97. https://doi.org/10.1007/s13198-016-0484-5
Statistics Canada, (2010). Waste Management Industry Survey: Business and Government Sectors. Ottawa: Statistics Canada 2013, Catalogue no.16F0023X.From Statistics Canada, Publications (2013): http://www.statcan.gc.ca/pub/16f0023x/16f0023x2013001-eng.pdf (accessed 2.10.2019).
Taherdangkoo R, Tatomir A, Taherdangkoo M, Qiu P, Sauter M (2020) Nonlinear autoregressive neural networks to predict hydraulic fracturing fluid leakage into shallow groundwater. Water 12(3):841. https://doi.org/10.3390/w12030841
Thompson S, Sawyer J, Bonam R, Valdivia JE (2009) Building a better methane generation model: validating models with methane recovery rates from 35 Canadian landfills. Waste Manag 29:2085–2091. https://doi.org/10.1016/j.wasman.2009.02.004
Tolaymat TM, Green RB, Hater GR, Barlaz MA, Black P, Bronson D, Powell J (2010) Evaluation of landfill gas decay constant for municipal solid waste landfills operated as bioreactors. J Air Waste Manage Assoc 60(1):91–97. https://doi.org/10.3155/10473289.60.1.91
Uyanik I, Ozkaya B, Demir S, Cakmakci M (2012) Meteorological parameters as an important factor on the energy recovery of landfill gas in landfills. J Renew Sustain Energy 4:1–9. https://doi.org/10.1063/1.4769202
Wang P, Liu Y, Qin Z, Zhang G (2015) A novel hybrid forecasting model for PM10 and SO2 daily concentrations. Sci Total Environ 505:1202–1212. https://doi.org/10.1016/j.scitotenv.2014.10.078
Xin D, Hao Y, Shimaoka T, Nakayama H, Chai X (2016) Site specific diel methane emission mechanisms in landfills: a field validated process based on vegetation and climate factors. Environ Pollut 218:673–680. https://doi.org/10.1016/j.envpol.2016.07.060
Acknowledgments
Acknowledgment goes to the team at the City of Regina Solid Waste Department, who supported the data collection and Dr. Kelvin Ng’s research team for data collection. The views expressed herein are those of the writers and not necessarily those of our research and funding partners. The financial support to the first author of this manuscript in the form of graduate research scholarship and PhD award is greatly acknowledged.
Funding
The financial support to the first author of this manuscript in the form of graduate research scholarship and PhD award is greatly acknowledged.
Author information
Authors and Affiliations
Contributions
Bahareh Fallah: Conceptualization, Formal analysis, Writing and Original draft preparation. Farshid Torabi: Supervision, Review & Editing.
Corresponding author
Ethics declarations
Competing interests
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Ethics approval and consent to participate
Not applicable
Consent for publication
Not applicable
Additional information
Responsible Editor: Marcus Schulz
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendix 1
Appendix 1
Rights and permissions
About this article
Cite this article
Fallah, B., Torabi, F. Application of periodic parameters and their effects on the ANN landfill gas modeling. Environ Sci Pollut Res 28, 28490–28506 (2021). https://doi.org/10.1007/s11356-021-12498-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11356-021-12498-5