Abstract
Land use regression (LUR) models are one of the standard methods for estimating air pollution concentration in urban areas. These models are usually low accurate due to inappropriate stochastic models (weight matrix). Furthermore, the measurement or modeling of dependent and independent variables used in LUR models is affected by various errors, which indicates the need to use an efficient stochastic and functional model to achieve the best estimation. This study proposes a locally weighted total least-squares variance component estimation (LW-TLS-VCE) for modeling urban air pollution. In the proposed method, in the first step, a locally weighted total least-squares (LW-TLS) regression is developed to simultaneously considers the non-stationary effects and errors of dependent and independent variables. In the second step, the variance components of the stochastic model are estimated to achieve the best linear unbiased estimation of unknowns. The efficiency of the proposed method is evaluated by modeling PM2.5 concentrations via meteorological, land use, and traffic variables in Isfahan, Iran. The benefits provided by the proposed method, including considering non-stationary effects and random errors of all variables, besides estimating the actual variance of observations, are evaluated by comparing four consecutive methods. The obtained results demonstrate that using a suitable stochastic and functional model will significantly increase the proposed method’s efficiency in PM2.5 modeling.
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The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.
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The code used during the current study are available from the corresponding author on reasonable request.
References
Almetwally, A. A., Bin-Jumah, M., & Allam, A. A. (2020). Ambient air pollution and its influence on human health and welfare: An overview. Environmental Science and Pollution Research, 27(20), 24815–24830.
Amini, H., Taghavi-Shahri, S. M., Henderson, S. B., Naddafi, K., Nabizadeh, R., & Yunesian, M. (2014). Land use regression models to estimate the annual and seasonal spatial variability of sulfur dioxide and particulate matter in Tehran Iran. Science of the Total Environment, 488, 343–353.
Amiri-Simkooei, A., & Jazaeri, S. (2012). Weighted total least squares formulated by standard least squares theory. Journal of Geodetic Science, 2(2), 113–124.
Amiri-Simkooei, A., Zangeneh-Nejad, F., & Asgari, J. (2013). Least-squares variance component estimation applied to GPS geometry-based observation model. Journal of Surveying Engineering, 139(4), 176–187.
Atkinson, R. W., Fuller, G. W., Anderson, H. R., Harrison, R. M., & Armstrong, B. (2010). Urban ambient particle metrics and health: A time-series analysis. Epidemiology, 501–511.
Balakrishnan, K., Dey, S., Gupta, T., Dhaliwal, R., Brauer, M., Cohen, A. J., & Aggarwal, A. N. (2019). The impact of air pollution on deaths, disease burden, and life expectancy across the states of India: The Global Burden of Disease Study 2017. The Lancet Planetary Health, 3(1), e26–e39.
Bellander, T., Berglind, N., Gustavsson, P., Jonson, T., Nyberg, F., Pershagen, G., & Järup, L. (2001). Using geographic information systems to assess individual historical exposure to air pollution from traffic and house heating in Stockholm. Environmental Health Perspectives, 109(6), 633–639.
Chen, J., & Hoek, G. (2020). Long-term exposure to PM and all-cause and cause-specific mortality: A systematic review and meta-analysis. Environment International, 105974.
Clougherty, J. E., Wright, R. J., Baxter, L. K., & Levy, J. I. (2008). Land use regression modeling of intra-urban residential variability in multiple traffic-related air pollutants. Environmental Health, 7(1), 1–14.
Dastoorpoor, M., Sekhavatpour, Z., Masoumi, K., Mohammadi, M. J., Aghababaeian, H., Khanjani, N., & Vahedian, M. (2019). Air pollution and hospital admissions for cardiovascular diseases in Ahvaz Iran. Science of the Total Environment, 652, 1318–1330.
de Hoogh, K., Korek, M., Vienneau, D., Keuken, M., Kukkonen, J., Nieuwenhuijsen, M. J., & Cesaroni, G. (2014). Comparing land use regression and dispersion modelling to assess residential exposure to ambient air pollution for epidemiological studies. Environment International, 73, 382–392.
Dockery, D. W., Pope, C. A., Xu, X., Spengler, J. D., Ware, J. H., Fay, M. E., & Speizer, F. E. (1993). An association between air pollution and mortality in six US cities. New England Journal of Medicine, 329(24), 1753–1759.
Elliot, P., Wakefield, J. C., Best, N. G., & Briggs, D. J. (2000). Spatial epidemiology: methods and applications. Oxford University Press.
English, P., Neutra, R., Scalf, R., Sullivan, M., Waller, L., & Zhu, L. (1999). Examining associations between childhood asthma and traffic flow using a geographic information system. Environmental Health Perspectives, 107(9), 761–767.
Gao, J., & Li, S. (2011). Detecting spatially non-stationary and scale-dependent relationships between urban landscape fragmentation and related factors using Geographically Weighted Regression. Applied Geography, 31(1), 292–302.
Ghasemi, F. F., Dobaradaran, S., Saeedi, R., Nabipour, I., Nazmara, S., Abadi, D. R. V., & Mohammadi, M. J. (2020). Levels and ecological and health risk assessment of PM 2.5-bound heavy metals in the northern part of the Persian Gulf. Environmental Science and Pollution Research, 27(5), 5305–5313.
Goudarzi, G., Alavi, N., Geravandi, S., Yari, A. R., Alamdari, F. A., Dobaradaran, S., & Hashemzadeh, B. (2019). Ambient particulate matter concentration levels of Ahvaz, Iran, in 2017. Environmental Geochemistry and Health, 41(2), 841–849.
Gu, K., Zhou, Y., Sun, H., Dong, F., & Zhao, L. (2021). Spatial distribution and determinants of PM 2.5 in China’s cities: fresh evidence from IDW and GWR. Environmental Monitoring and Assessment, 193(1), 1–22.
Henderson, S. B., Beckerman, B., Jerrett, M., & Brauer, M. (2007). Application of land use regression to estimate long-term concentrations of traffic-related nitrogen oxides and fine particulate matter. Environmental Science & Technology, 41(7), 2422–2428.
Hoek, G., Brunekreef, B., Goldbohm, S., Fischer, P., & van den Brandt, P. A. (2002). Association between mortality and indicators of traffic-related air pollution in the Netherlands: A cohort study. The Lancet, 360(9341), 1203–1209.
Hoek, G., Beelen, R., De Hoogh, K., Vienneau, D., Gulliver, J., Fischer, P., & Briggs, D. (2008). A review of land-use regression models to assess spatial variation of outdoor air pollution. Atmospheric Environment, 42(33), 7561–7578.
Huang, J., Pan, X., Guo, X., & Li, G. (2018). Health impact of China’s Air Pollution Prevention and Control Action Plan: An analysis of national air quality monitoring and mortality data. The Lancet Planetary Health, 2(7), e313–e323.
Jeong, C. H., McGuire, M. L., Herod, D., Dann, T., Dabek–Zlotorzynska, E., Wang, D., & Evans, G. (2011). Receptor model based identification of PM2.5 sources in Canadian cities. Atmospheric Pollution Research, 2(2), 158–171.
Jerrett, M., Arain, A., Kanaroglou, P., Beckerman, B., Potoglou, D., Sahsuvaroglu, T., & Giovis, C. (2005). A review and evaluation of intraurban air pollution exposure models. Journal of Exposure Science & Environmental Epidemiology, 15(2), 185–204.
Kanaroglou, P. S., Jerrett, M., Morrison, J., Beckerman, B., Arain, M. A., Gilbert, N. L., & Brook, J. R. (2005). Establishing an air pollution monitoring network for intra-urban population exposure assessment: A location-allocation approach. Atmospheric Environment, 39(13), 2399–2409.
Kong, L., & Tian, G. (2020). Assessment of the spatio-temporal pattern of PM2.5 and its driving factors using a land use regression model in Beijing, China. Environmental monitoring and assessment, 192(2), 1–19.
Lane, K. J., Levy, J. I., Scammell, M. K., Peters, J. L., Patton, A. P., Reisner, E., & Brugge, D. (2016). Association of modeled long-term personal exposure to ultrafine particles with inflammatory and coagulation biomarkers. Environment International, 92, 173–182.
Lebret, E., Briggs, D., Van Reeuwijk, H., Fischer, P., Smallbone, K., Harssema, H., & Elliott, P. (2000). Small area variations in ambient NO2 concentrations in four European areas. Atmospheric Environment, 34(2), 177–185.
Liu, M., Peng, X., Meng, Z., Zhou, T., Long, L., & She, Q. (2019). Spatial characteristics and determinants of in-traffic black carbon in Shanghai, China: Combination of mobile monitoring and land use regression model. Science of the Total Environment, 658, 51–61.
Lu, B., Charlton, M., Harris, P., & Fotheringham, A. S. (2014). Geographically weighted regression with a non-Euclidean distance metric: A case study using hedonic house price data. International Journal of Geographical Information Science, 28(4), 660–681.
Mölter, A., Lindley, S., De Vocht, F., Simpson, A., & Agius, R. (2010). Modelling air pollution for epidemiologic research—Part I: A novel approach combining land use regression and air dispersion. Science of the Total Environment, 408(23), 5862–5869.
Naghizadeh, A., Sharifzadeh, G., Tabatabaei, F., Afzali, A., Yari, A. R., Geravandi, S., & Mohammadi, M. J. (2019). Assessment of carbon monoxide concentration in indoor/outdoor air of Sarayan city, Khorasan Province of Iran. Environmental Geochemistry and Health, 41(5), 1875–1880.
Pisoni, E., Clappier, A., Degraeuwe, B., & Thunis, P. (2017). Adding spatial flexibility to source-receptor relationships for air quality modeling. Environmental Modelling & Software, 90, 68–77.
Samek, L., Stegowski, Z., Styszko, K., Furman, L., & Fiedor, J. (2018). Seasonal contribution of assessed sources to submicron and fine particulate matter in a Central European urban area. Environmental Pollution, 241, 406–411.
Son, Y., Osornio-Vargas, Á. R., O’Neill, M. S., Hystad, P., Texcalac-Sangrador, J. L., Ohman-Strickland, P., & Schwander, S. (2018). Land use regression models to assess air pollution exposure in Mexico City using finer spatial and temporal input parameters. Science of the Total Environment, 639, 40–48.
Tashayo, B., & Alimohammadi, A. (2016). Modeling urban air pollution with optimized hierarchical fuzzy inference system. Environmental Science and Pollution Research, 23(19), 19417–19431.
Tashayo, B., Alimohammadi, A., & Sharif, M. (2017). A hybrid fuzzy inference system based on dispersion model for quantitative environmental health impact assessment of urban transportation planning. Sustainability, 9(1), 134.
Vizcaino, P., & Lavalle, C. (2018). Development of European NO2 Land Use Regression Model for present and future exposure assessment: Implications for policy analysis. Environmental Pollution, 240, 140–154.
Wang, R., Henderson, S. B., Sbihi, H., Allen, R. W., & Brauer, M. (2013). Temporal stability of land use regression models for traffic-related air pollution. Atmospheric Environment, 64, 312–319.
Wu, C. -D., Zeng, Y. -T., & Lung, S. -C. C. (2018). A hybrid kriging/land-use regression model to assess PM2.5 spatial-temporal variability. Science of the Total Environment, 645, 1456–1464.
Xu, S., Zou, B., Shafi, S., & Sternberg, T. (2018). A hybrid Grey-Markov/LUR model for PM10 concentration prediction under future urban scenarios. Atmospheric Environment, 187, 401–409.
Zarandi, S. M., Shahsavani, A., Nasiri, R., & Pradhan, B. (2021). A hybrid model of environmental impact assessment of PM 2.5 concentration using multi-criteria decision-making (MCDM) and geographical information system (GIS)—A case study. Arabian Journal of Geosciences, 14(3), 1–20.
Zarrabi, A., Mohammadi, J., & Abdollahi, A. (2010). Evaluation of mobile and stationary sources of Isfahan air pollution. Geography, 26, 151–164.
Zhao, H., Geng, G., Zhang, Q., Davis, S. J., Li, X., Liu, Y., & Huo, H. (2019). Inequality of household consumption and air pollution-related deaths in China. Nature Communications, 10(1), 1–9.
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Behnam Tashayo: conceptualized, designed, and supervised the study, including experimental setup, model simulations and evaluation, and write—review and editing of the paper. Arezoo Mokhtari carried out model development and verification the models, and drafted the original version of the manuscript. All authors read and approved the final manuscript.
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Mokhtari, A., Tashayo, B. Locally weighted total least-squares variance component estimation for modeling urban air pollution. Environ Monit Assess 194, 840 (2022). https://doi.org/10.1007/s10661-022-10499-6
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DOI: https://doi.org/10.1007/s10661-022-10499-6