Abstract
Air is the basis for the existence of life on Earth; but in the present age of modernization the degrading quality of air year by year, due to the growth of Industrialization, urbanization, automobiles, coal-fired thermal power plants, and various other factories is the matter of real concern. To predict the future growth of air pollutants numerous prediction models have been developed by researchers. Time-series ARIMA model although quite useful for forecasting but fails to handle non-stationary problems. Among all the existing forecasting models, wavelets along with the Machine learning models have proved to be very successful and have been widely used in various fields like mathematical modeling, signal recognition, image recognition, classification, function approximation, data processing, filtering, clustering, compression, robotics, and decision making. It is also used in the field of mathematical forecasting for developing efficient prediction models. This paper aims to develop a wavelet-ANFIS conjugation model and a wavelet-ARIMA coupled model along with the time-series ARIMA model for the prediction of black carbon concentration over the Raniganj, Jharia, and Bokaro coal mines of India, by considering a long term data obtained by NASA (http://nasa.gov/) and compare the results obtained by these models for determining the best prediction model. The validity of the results is tested with the help of error measures like RMSE, MSE, MAPE, MAE, and relative error. Results over the three sample sites conclude that the Wavelet-ANFIS conjugation approach outperforms the wavelet-ARIMA coupled approach and the simple time-series ARIMA model.






















Similar content being viewed by others

Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Data availability
Data is freely avaible online at (http://nasa.gov/).
References
Rehman IH, Ahmed T, Praveen PS, Kar A, Ramanathan V (2011) Black carbon emissions from biomass and fossil fuels in rural India. Atmos Chem Phys Discuss 11(4):7289–7299
Conny JM, Slater JF (2002) Black carbon and organic carbon in aerosol particles from crown fires in the Canadian boreal forest. J Geophys Res Atmosp 107(D11):AAC-4-AAC−12
Japar SM, Brachaczek WW, Gorse RA Jr, Norbeck JM, Pierson WR (1986) The contribution of elemental carbon to the optical properties of rural atmospheric aerosols. Atmos Environ 20(6):1281–1289
Liousse C, Penner JE, Chuang C, Walton JJ, Eddleman H, Cachier H (1996) A global three dimensional model study of carbonaceous aerosols. J Geophys Res Atmosp 101(D14):19411–19432
Tzanis C, Varotsos CA (2008) Tropospheric aerosol forcing of climate: a case study for the greater area of Greece. Int J Remote Sens 29(9):2507–2517
Chameides WL, Yu H, Liu SC, Bergin M, Zhou X, Mearns L, Wang G, Kiang CS, Saylor RD, Luo C, Huang Y (1999) Case study of the effects of atmospheric aerosols and regional haze on agriculture: an opportunity to enhance crop yields in China through emission controls? Proc Natl Acad Sci 96(24):13626–13633
Highwood EJ, Kinnersley RP (2006) When smoke gets in our eyes: The multiple impacts of atmospheric black carbon on climate, air quality and health. Environ Int 32(4):560–566
Jansen KL, Larson TV, Koenig JQ, Mar TF, Fields C, Stewart J, Lippmann M (2005) Associations between health effects and particulate matter and black carbon in subjects with respiratory disease. Environ Health Perspect 113(12):1741–1746
Penner JE, Eddleman H, Novakov T (1993) Towards the development of a global inventory for black carbon emissions. Atmos Environ A Gen Top 27(8):1277–1295
Varotsos C (2005) Airborne measurements of aerosol, ozone, and solar ultraviolet irradiance in the troposphere. J Geophys Res Atmos. https://doi.org/10.1029/2004JD005397
Novakov T, Menon S, Kirchstetter TW, Koch D, Hansen JE (2005) Aerosol organic carbon to black carbon ratios: analysis of published data and implications for climate forcing. J Geophys Res Atmosp 110:D21205
Central Mining Research Institute (CMRI) (1998) Determination of emission factor for various opencast mining activities, GAP/9/EMG/MOEF/09, environmental management group, Dhanbad, India
Deng Y, Fan H, Wu S (2020) A hybrid ARIMA-LSTM model optimized by BP in the forecast of outpatient visits. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-020-02602-x
Parmar KS, Makkhan SJS, Kaushal S (2019) Neuro-fuzzy-wavelet hybrid approach to estimate the future trends of river water quality. Neural Comput Applic 31:8463–8473. https://doi.org/10.1007/s00521-019-04560-8
Sengar S, Liu X (2020) Ensemble approach for short term load forecasting in wind energy system using hybrid algorithm. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-020-01866-7
Singh S, Parmar KS, Kumar J (2021) Soft computing model coupled with statistical models to estimate future of stock market. Neural Comput Applic. https://doi.org/10.1007/s00521-020-05506-1
Aminzadeh MS (2009) Sequential and non-sequential acceptance sampling plans for autocorrelated processes using ARMA(p, q) models. Comput Stat 24:95–111
Hamed KH (2008) Trend detection in hydrologic data: the Mann-Kendall trend test under the scaling hypothesis. J Hydrol 349:350–363
Hamed KH, Rao AR (1998) A modified Mann-Kendall trend test for autocorrelated data. J Hydrol 204:182–196
Makkhan SJ, Parmar KS, Kaushal S, Soni K (2020) Correlation and time-series analysis of black carbon in the coal mine regions of India: a case study. Model Earth Syst Environ 6(1):659–669
Makkhan SJ, Parmar KS, Kaushal S, Soni K (2020) Fractal analysis of black carbon in the coal mine regions of India. J Phys Conf Ser IOP Publish 1531(1):012072
Parmar KS, Bhardwaj R (2013) Wavelet and statistical analysis of river water quality parameters. Appl Math Comput 219:10172–10182
Parmar KS, Bhardwaj R (2015) Statistical, time series, and fractal analysis of full stretch of river Yamuna (India) for water quality management. Environ Sci Pollut Res 22:397–414
Shadmani M, Marofi S, Roknian M (2012) Trend analysis in reference evapotranspiration using Mann-Kendall and Spearman’s Rho tests in arid regions of Iran. Water Resour Manag 26:211–224
Nourani V, Alami MT, Aminfar MH (2008) A combined neural wavelet model for prediction of watershed precipitation, Ligvanchai. Iran J Environ Hydrol 16:1–12
Singh J, Knapp HV, Arnold JG, Demissie M (2005) Hydrological modeling of the Iroquois River watershed using HSPF and SWAT. J Am Water Resour Assoc 41(2):361–375
Yang ZP, Lu WX, Long YQ, Li P (2009) Application and comparison of two prediction models for groundwater levels: a case study in Western Jilin Province, China. J Arid Environ 73:487–492
Abdel-Aziz A, Frey HC (2003) Development of hourly probabilistic utility NOx emission inventories using time series techniques: part II—multivariate approach. Atmos Environ 37:5391–5401
Abish B, Mohanakumar K (2013) A stochastic model for predicting aerosol optical depth over the north Indian region. Int J Remote Sens 34(4):1449–1458
Ballester EB, Valls GC, Carrasco-Rodriguez JL, Olivas ES, Valle-Tascon SD (2002) Effective 1-day ahead prediction of hourly surface ozone concentrations in Eastern Spain using linear models and neural networks. Ecol Model 156(1):27–41
Chelani AB, Devotta S (2006) Air quality forecasting using a hybrid auto regressive and nonlinear model. Atmos Environ 40(10):1774–1780
Kumaresan K, Ganeshkumar P (2020) Software reliability prediction model with realistic assumption using time series (S)ARIMA model. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-020-01912-4
Liang WM, Wei HY, Kuo HW (2009) Association between daily mortality from respiratory and cardiovascular diseases and air pollution in Taiwan. Environ Res 109(1):51–58
Portnov BA, Dubnov J, Barchana M (2009) Studying the association between air pollution and lung cancer incidence in a large metropolitan area using a kernel density function. Socio Econ Plan Sci 43(3):141–150
Aksoy H, Dahamsheh A (2009) Artificial neural network models for forecasting monthly precipitation in Jordan. Stochastic Environ Res Risk Assess 23(7):917–931
Battaglia F, Protopapas MK (2012) Multi–regime models for nonlinear nonstationary time series. Comput Stat 27:319–341
Chenard JF, Caissie D (2008) Stream temperature modelling using artificial neural networks: application on Catamaran Brook, New Brunswick, Canada. Hydrol Process 22:3361–3372
Daliakopoulos IN, Coulibaly P, Tsanis IK (2005) Groundwater level forecasting using artificial neural networks. J Hydrol 309:229–240
French MN, Krajewski WF, Cuykendall RR (1992) Rainfall forecasting in space and time using a neural network. J Hydrol 137:1–31
Ghadimi N, Akbarimajd A, Shayeghi H, Abedinia O (2018) A new prediction model based on multi-block forecast engine in smart grid. J Ambient Intell Human Comput 9:1873–1888. https://doi.org/10.1007/s12652-017-0648-4
Liu Z, Hajiali M, Torabi A, Ahmadi B, Simoes R (2018) Novel forecasting model based on improved wavelet transform, informative feature selection, and hybrid support vector machine on wind power forecasting. J Ambient Intell Human Comput 9:1919–1931. https://doi.org/10.1007/s12652-018-0886-0
Lyhagen J (1999) Identification of the order of a fractionally differenced ARMA model. Comput Stat 14:161–169
Nazari A (2020) Retraction note to: utilizing ANFIS for prediction water absorption of lightweight geopolymers produced from waste materials. Neural Comput Applic 32:15667. https://doi.org/10.1007/s00521-020-05120-1
Olbermann BP, Lopes SRC, Reisen VA (2006) Invariance of the first difference in ARFIMA models. Comput Stat 21:445–461
Sahin M (2012) Modelling of air temperature using remote sensing and artificial neural network in Turkey. Adv Space Res 50(7):973–985
Zhang GP (2003) Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50:159–175
Armaghani DJ, Asteris PG (2020) A comparative study of ANN and ANFIS models for the prediction of cement-based mortar materials compressive strength. Neural Comput Applic. https://doi.org/10.1007/s00521-020-05244-4
Farajzadeh J, Fard AF, Lotfi S (2014) Modeling of monthly rainfall and runoff of Urmia lake basin using ‘‘feed-forward neural network” and ‘‘time series analysis” model. Water Resour Ind 7–8:38–48
Hamzacebi C (2008) Improving artificial neural network performance in seasonal time series forecasting. Inf Sci 178:4550–4559
Mandal T, Jothiprakash V (2012) Short-term rainfall prediction using ANN and MT techniques. J Hydraul Eng 18:20–26
Soni K, Kapoor S, Parmar KS (2014) Long-term aerosol characteristics over eastern, southeastern and south coalfield regions in India. Water Air Soil Pollut 225:1832
Zhang GP (2007) A neural network ensemble method with jittered training data for time series forecasting. Inf Sci 177:5329–5346
Contreras-Reyes JE, Palma W (2013) Statistical analysis of autoregressive fractionally integrated moving average models in R. Comput Stat 28:2309–2331
Singh S, Parmar KS, Kumar J, Kaur J (2019) ARIMA-Wavelet coupled approach for time series analysis. Int J Sci Res Rev 7(3):3743–3756
Kumar J, Kaur A, Manchanda P (2015) Forecasting the time series data using ARIMA with wavelet. J Comput Math Sci 6(8):430–438
Pasanen L, Holmström L (2017) Scale space multiresolution correlation analysis for time series data. Comput Stat 32:197–218
Nury AH, Khairul Hasan M, Alam JB (2017) Comparative study of wavelet-ARIMA and wavelet-ANN models for temperature time series data in northeastern Bangladesh. J King Saud Univ Sci 29(1):47–61. https://doi.org/10.1016/j.jksus.2015.12.002
Rahman MJ, Hasan MAM (2014) Performance of wavelet transform on models in forecasting climatic variables. Comput Intell Tech Earth Environ Sci. https://doi.org/10.1007/978-94-017-8642-3_8
Rojas I, Valenzuela O, Rojas F, Guillén A, Herrera LJ, Pomares H, Marquez L, Pasadas M (2008) Soft computing techniques and ARMA model for time series prediction. Neurocomputing 71(4–6):519–537
Pentoś K, Pieczarka K, Lejman K (2020) Application of soft computing techniques for the analysis of tractive properties of a low-power agricultural tractor under various soil conditions. Complexity. https://doi.org/10.1155/2020/7607545
Jang JS (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23(3):665–685
Jeong C, Shin JY, Kim T, Heo JH (2012) Monthly precipitation forecasting with a neuro-fuzzy model. Water Resour Manag 26(15):4467–4483
Moosavi V, Vafakhah M, Shirmohammadi B, Behnia N (2013) A wavelet-ANFIS hybrid model for groundwater level forecasting for different prediction periods. Water Resour Manag 27(5):1301–1321
Najah AA, El-Shafie A, Karim OA et al (2012) Water quality prediction model utilizing integrated wavelet-ANFIS model with cross-validation. Neural Comput Applic 21:833–841. https://doi.org/10.1007/s00521-010-0486-1
Zare M, Koch M (2018) Groundwater level fluctuations simulation and prediction by ANFIS-and hybrid Wavelet-ANFIS/Fuzzy C-Means (FCM) clustering models: application to the Miandarband plain. J Hydro Environ Res 1(18):63–76
Muhammad Adnan R, Yuan X, Kisi O, Yuan Y, Tayyab M, Lei X (2019) Application of soft computing models in streamflow forecasting. Proc Inst Civil Eng Water Manag 172(3):123–134
Adedeji PA, Akinlabi SA, Madushele N, Olatunji OO (2022) Evolutionary-based neurofuzzy model with wavelet decomposition for global horizontal irradiance medium-term prediction. J Ambient Intell Humaniz Comput 14:1–3
Aly HHA (2022) Hybrid optimized model of adaptive neuro-fuzzy inference system, recurrent kalman filter and neuro-wavelet for wind power forecasting driven by DFIG. Energy 239:122367
Ardabili SF, Mosavi A, Ghamisi P, Ferdinand F, Varkonyi-Koczy AR, Reuter U, Rabczuk T, Atkinson PM (2020) COVID-19 outbreak prediction with machine learning. Algorithms. https://doi.org/10.1101/2020.04.17.20070094
Fatima SA, Ramli N, Taqvi SAA et al (2021) Prediction of industrial debutanizer column compositions using data-driven ANFIS- and ANN-based approaches. Neural Comput Applic. https://doi.org/10.1007/s00521-020-05593-0
Zamanzad-Ghavidel S, Fazeli S, Mozaffari S, Sobhani R, Hazi MA, Emadi A (2022) Estimating of aqueduct water withdrawal via a wavelet-hybrid soft-computing approach under uniform and non-uniform climatic conditions. Environ Dev Sustain 29:1–32
Box GE, Jenkins GM (1976) Time series analysis: forecasting and control. Wiley, New York
Soni K, Parmar KS, Kapoor S (2015) Time series model prediction and trend variability of aerosol optical depth over coal mines in India. Environ Sci Pollut Res 22:3652–3671
Grossman A, Morlet J (1984) Decomposition of hardy functions into square integrable wavelets of constant shape. SIAM J Math Anal 35:723
Mallat S (1989) A theory for multi-resolution signal decomposition. IEEE Trans Pattern Anal Mach Intell 11:674
Soni K, Parmar KS, Agarwal S (2017) Modeling of air pollution in residential and industrial sites by integrating statistical and daubechies wavelet (level 5) analysis. Model Earth Syst Environ 3:1187–1198
Wang X, Zhang N, Chen Y, Zhang Y (2018) Short-term forecasting of urban rail transit ridership based on ARIMA and wavelet decomposition. AIP Conference Proceedings. 040025
Chen HW, Chang NB (2010) Using fuzzy operators to address the complexity in decision making of water resources redistribution in two neighboring river basins. Adv Water Resour 33(6):652–666
Hung NQ, Babel MS, Weesakul S, Tripathi NK (2009) An artificial neural network model for rainfall forecasting in Bangkok Thailand. Hydrol Earth Syst Sci 13(8):1413–1425
Aksoy H, Toprak ZF, Aytek A, Ünal NE (2004) Stochastic generation of hourly mean wind speed data. Renew Energy 29(14):2111–2131
Toprak ZF, Eris E, Agiralioglu N, Cigizoglu HK, Yilmaz L, Aksoy H, Coskun HG, Andic G, Alganci U (2009) Modeling monthly mean flow in a poorly gauged basin by fuzzy logic. Clean-Soil, Air, Water 37(7):555–564
Toprak ZF, Sen Z, Savci ME (2004) Comment on “longitudinal dispersion coefficients in natural channels.” Water Res 38(13):3139–3143
Dalkiliç HY, Hashimi SA (2020) Prediction of daily streamflow using artificial neural networks (ANNs), wavelet neural networks (WNNs), and adaptive neuro-fuzzy inference system (ANFIS) models. Water Supply 20(4):1396–1408
Ganorkar S, Raut V (2019) Comparative analysis of mother wavelet selection for EEG signal application to motor imagery based B rain computer interface. Int J Sci Technol Res 8(12):1001–1007
Jang YI, Sim JY, Yang JR, Kwon NK (2021) The optimal selection of mother wavelet function and decomposition level for denoising of dcg signal. Sensors 21(5):1851
Machado RN, Bezerra UH, Tostes ME, Freire SC, Meneses LA. Application of Wavelet transform and artificial neural network to extract power quality information from voltage oscillographic signals in electric power systems. In: advances in wavelet theory and their applications in engineering, physics and technology 2012 Apr 4. InTech
Sharif I, Khare S (2014) Comparative analysis of Haar and Daubechies wavelet for hyper spectral image classification. Int Archiv Photogram Remote Sens Spatial Inf Sci 40(8):937
Acknowledgements
The authors are thankful to CSIR-National Physical Laboratory, New Delhi for providing the data for research. We are also grateful to Lovely Professional University Punjab, I. K. Gujral, Punjab Technical University Jalandhar, Sri Guru Angad Dev College, Khadoor Sahib, Tarn Taran for providing facilities for research work. The corresponding author also thankful to SERB-DST, Government of India for the financial support with the research project MATRICS MTR/2020/000479.
Funding
The corresponding author received the funding from SERB-DST government of India under the MATRICS project (MTR/2020/000479).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
Authors have no conflicts of interest.
Ethics approval and consent to participate
We further confirm that there is no aspect of the work covered in this manuscript that has involved human patients has been conducted.
Consent for publication
Authors give their consent for the publication of this manuscript.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor 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
Makkhan, S.J.S., Singh, S., Parmar, K.S. et al. Comparison of hybrid machine learning model for the analysis of black carbon in air around the major coal mines of India. Neural Comput & Applic 35, 3449–3468 (2023). https://doi.org/10.1007/s00521-022-07909-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-022-07909-8