Abstract
The aim of this article is the investigation of the benzene concentrations in the ambient air of urban and industrial areas from the Timişoara city and the rural zones of Timiş County, Romania. We use the Mann–Kendall test for assessing the existence of a monotonic trend of the average and maxima daily series. Burr and Wakeby models are fit for the distributions of the average and maximum daily series collected during a period of 7 months. Based on these distributions, we compute the probabilities of exceeding the legal limits by the average daily series. These are 0.1888, 0.2159, 0.1913, and 0.1805, respectively. The highest one corresponds to the agglomerate roadside.
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References
Bărbulescu A (2016) Studies on time series. Applications in environmental sciences. Springer, Berlin
Bărbulescu A, Barbeş L (2014) Models for the pollutants correlation in the Romanian Littoral. Rom Rep Phys 66(4):1189–1199
Bărbulescu A, Barbeş L (2016) Statistical analysis and mathematical models for the VOCs concentrations on the Romanian littoral. A case study. Anal Lett 49:387–399. https://doi.org/10.1080/00032719.2015.1027897
Bărbulescu A, Barbeş L (2017a) Modeling the carbon monoxide dissipation in Timisoara, Romania. J Environ Manag 204:831–838. https://doi.org/10.1016/j.jenvman.2017.02.047
Bărbulescu A, Barbeş L (2017b) Mathematical modeling of sulfur dioxide concentration in the Western part of Romania. J Environ Manag 204:825–830. https://doi.org/10.1016/j.jenvman.2017.02.052
Bărbulescu A, Barbeş L, Nazzal Y (2018) New model for inorganic pollutants dissipation on the northern part of the Romanian Black Sea coast. Rom J Phys 63(5–6):806
Boothe VL, Boehmer TK, Wendel AM, Yip FY (2014) Residential traffic exposure and childhood leukemia: a systematic review and meta-analysis. Am J Prev Med 46:413–422. https://doi.org/10.1016/j.amepre.2013.11.004
Buccolieri R, Santiago JL, Rivas E, Sanchez B (2018) Review on urban tree modelling in CFD simulations: aerodynamic, deposition and thermal effects. Urban For Urban Green 31:212–220. https://doi.org/10.1016/j.ufug.2018.03.003
Burr IW (1942) Cumulative frequency functions. Ann Math Stat 3:215–232
Calitateaer.ro (2020) http://calitateaer.ro/public/monitoring-page/reports-reports-page/?__locale=en. Accessed 25 May 2020
Chen WH, Chen ZB, Yuan CS, Hung CH, Ning SK (2016) Investigating the differences between receptor and dispersion modeling for concentration prediction and health risk assessment of volatile organic compounds from petrochemical industrial complexes. J Environ Manag 166:440–449. https://doi.org/10.1016/j.jenvman.2015.10.050
Churkina G, Kuik F, Bonn B, Lauer A, Grote R, Tomiak K, Butler TM (2017) Effect of VOC emissions from vegetation on air quality in Berlin during a heat wave. Environ Sci Technol 51:6120–6130. https://doi.org/10.1021/acs.est.6b06514
Conover WJ, Iman RL (1979) On multiple-comparisons procedures, Technical Report LA-7677-MS, Los Alamos Scientific Laboratory
Deng W, Liu T, Zhang Y, Situ S, Hu Q, He Q, Zhang Z, Lü S, Bi X, Wang X, Boreave A, George C, Ding X, Wang X (2017) Secondary organic aerosol formation from photo-oxidation of toluene with NOx and SO2: chamber simulation with purified air versus urban ambient air as matrix. Atmos Environ 150:67–76. https://doi.org/10.1016/j.atmosenv.2016.11.047
Dunea D, Iordache S, Radulescu C, Pohoata A, Dulama ID (2016) A multidimensional approach to the influence of wind on the variations of particulate matter and associated heavy metals in Ploiesti city, Romania. Rom J Phys 61:1354–1368
EEA (2017). https://www.eea.europa.eu/data-and-maps/ADShboards/air-pollutant-emissions-data-viewer-2. Accessed 25 May 2020
EEA (2019a). European Environment Agency. https://www.eea.europa.eu/publications/air/air-quality-in-europe-2019. Accessed 25 May 2020
EEA (2019b). https://www.eea.europa.eu/themes/air/air-quality-index/index. Accessed 25 May 2020
EEA (2020). https://www.eea.europa.eu/data-and-maps/ADShboards/necd-directive-data-viewer-3. Accessed 7 June 2020
EU (2008, 2015) European Directives Air Quality—Existing Legislation. https://ec.europa.eu/environment/air/quality/existing_leg.htm. Accessed 25 May 2020
EU (2019). Eurostat 2019. https://ec.europa.eu/growth/tools-databases/regional-innovation-monitor/base-profile/west-region-romania. Accessed 25 May 2020
Gaur M, Singh R, Shukla A (2016) Volatile organic compounds in India: concentration and sources. J Civ Environ Eng 6:e1000251. https://doi.org/10.4172/2165-784X.1000251
Gu Y, Li Q, Wei D, Gao L, Tan L, Su G, Liu G, Liu W, Li C, Wang Q (2019) Emission characteristics of 99 NMVOCs in different seasonal days and the relationship with air quality parameters in Beijing, China. Ecotoxicol Environ Saf 169:797–806. https://doi.org/10.1016/j.ecoenv.2018.11.091
Healy RM, Bennett J, Wang JM, Karellas NS, Wong C, Todd A, Sofowote U, Su Y, Di Federico L, Munoz A, Charland JP, Herod D, Siu M, White L (2018) Evaluation of a passive sampling method for long-term continuous monitoring of volatile organic compounds in urban environments. Environ Sci Technol 52:10580–10589. https://doi.org/10.1021/acs.est.8b02792
Hertwig D, Burgin L, Gan C, Hort M, Jones A, Shaw F, Witham C, Zhang K (2015) Development and demonstration of a Lagrangian dispersion modeling system for real-time prediction of smoke haze pollution from biomass burning in Southeast Asia. J Geophys Res Atmos 120:12605–12630. https://doi.org/10.1002/2015JD023422
Houot J, Marquant F, Goujon S, Faure L, Honoré C, Roth MH, Hémon D, Clavel J (2015) Residential proximity to heavy-traffic roads, benzene exposure, and childhood leukemia-the GEOCAP study, 2002–2007. Am J Epidemiol 182:685–693. https://doi.org/10.1093/aje.kwv111
Hu G, Butler J, Littlejohns J, Wang Q, Li G (2020) Simulation of cargo VOC emissions from petroleum tankers in transit in Canadian waters. Eng Appl Comput Fluid 14:522–533. https://doi.org/10.1080/19942060.2020.1728386
Hui L, Liu X, Tan Q, Feng M, An J, Qu Y, Zhang Y, Cheng N (2019) VOC characteristics, sources and contributions to SOA formation during haze events in Wuhan, Central China. Sci Total Environ 650:2624–2639. https://doi.org/10.1016/j.scitotenv.2018.10.029
Iordache Ş, Dunea D (2013) Cross-spectrum analysis applied to air pollution time series from several urban areas of Romania. Environ Eng Manag J 12:677–684
Iorga G (2016) Air pollution monitoring: a case study from Romania. In: Sallis P (ed) Air quality—measurement and modeling. IntechOpen Publishing. https://www.intechopen.com/books/air-quality-measurement-and-modeling/air-pollution-monitoring-a-case-study-from-romania. Accessed 25 May 2020
Karl M, Kukkonen J, Keuken MP, Lützenkirchen S, Pirjola L, Hussein T (2016) Modeling and measurements of urban aerosol processes on the neighborhood scale in Rotterdam, Oslo and Helsinki. Atmos Chem Phys 16:4817–4835. https://doi.org/10.5194/acp-16-4817-2016
Karl M, Walker SE, Solberg S, Ramacher MOP (2019) The Eulerian urban dispersion model EPISODE—part 2: extensions to the source dispersion and photochemistry for EPISODE–CityChem v1.2 and its application to the city of Hamburg. Geosci Model Dev 12:3357–3399. https://doi.org/10.5194/gmd-12-3357-2019
Kendall MA, Stuart A (1967) The advanced theory of statistics. Charles Griffin, Londres
Khader YS, Abdo N, Abdelrahman M, Al-Sharif M, Bateiha AM, Malkawi M (2016) The effect of air pollution on cancer in the Eastern Mediterranean Region: a systematic literature review. J Environ Pollut Hum Health 4:66–71. https://doi.org/10.12691/jephh-4-3-2
Kruskal WH, Wallis WA (1952) Use of ranks in one-criterion variance analysis. J Am Stat Assoc 47:583–621
Liu C, Huang X, Li J (2020) Outdoor benzene highly impacts indoor concentrations globally. Sci Total Environ 720:e137640. https://doi.org/10.1016/j.scitotenv.2020.137640
Loomis D, Guyton KZ, Grosse Y, El Ghissassi F, Bouvard V, Benbrahim-Tallaa L, Guha N, Vilahur N, Mattock H, Straif K (2017) Carcinogenicity of benzene. Lancet Oncol 18:1574–1575. https://doi.org/10.1016/S1470-2045(17)30832-X
Mahbub P, Goonetilleke A, Ayoko GA (2011) Prediction model of the buildup of volatile organic compounds on urban roads. Environ Sci Technol 45:4453–4459. https://doi.org/10.1021/es200307x
Marć M, Namieśnik J, Zabiegała B (2014) BTEX concentration levels in urban air in the area of the Tri-City agglomeration (Gdansk, Gdynia, Sopot), Poland. Air Qual Atmos Health 7:489–504. https://doi.org/10.1007/s11869-014-0247-x
Mathwave, Wakeby Distribution. http://www.mathwave.com/articles/wakeby_distribution.html. Accessed 25 May 2020
Mlakar P, Božnar MZ (2011) Artificial neural networks—a useful tool in air pollution and meteorological modelling. In: Nejadkoorki F (ed) Advanced air pollution. IntechOpen, pp 495–508. https://doi.org/10.5772/20824
Montero-Montoya R, López-Vargas R, Arellano-Aguilar O (2018) Volatile organic compounds in air: sources, distribution, exposure and associated illnesses in children. Ann Glob Health 84:225–238. https://doi.org/10.29024/aogh.910
Munir S, Mayfield M, Coca D, Mihaylova LS, Osammor O (2020) Analysis of air pollution in urban areas with Airviro dispersion model—a case study in the city of Sheffield, United Kingdom. Atmosphere 11:285. https://doi.org/10.3390/atmos.11030285
Okada Y, Nakagoshi A, Tsurukawa M, Matsumura C, Eiho J, Nakano T (2012) Environmental risk assessment and concentration trend of atmospheric volatile organic compounds in Hyogo Prefecture, Japan. Environ Sci Pollut Res 19:210–213. https://doi.org/10.1007/s11356-011-0550-0
Okasha MK, Matter MY (2015) On the three-parameter Burr type XII distribution and its application to heavy tailed lifetime data. J Adv Math 10:3429–3442
Roba C, Ştefănie H, Török Z, Kovacs M, Roşu C, Ozunu A (2014) Determination of volatile organic compounds and particulate matter levels in an urban area from Romania. Environ Eng Manag J 13:2261–2268
Roukos J, Locoge N, Sacco P, Plaisance H (2011) Radial diffusive samplers for determination of 8-h concentration of BTEX, acetone, ethanol and ozone in ambient air during a sea breeze event. Atmos Environ 45:755–763. https://doi.org/10.1016/j.atmosenv.2010.09.012
Rusu-Zagar G, Rusu-Zagar C, Iorga A, Iorga O, Zagar L, Mocanu M (2014) Variation of annual, seasonal, nocturnal and diurnal concentrations of gaseous and particulate pollutants in six areas of Bucharest, Romania. Environ Eng Manag J 13:1341–1348
Sanchez B, Santiago JL, Martilli A, Palacios M, Kirchner F (2016) CFD modeling of reactive pollutant dispersion in simplified urban configurations with different chemical mechanisms. Atmos Chem Phys 16:12143–12157. https://doi.org/10.5194/acp-16-12143-2016
Schiavon M, Redivo M, Antonacci G, Rada EC, Ragazzi M, Zardi D, Giovannini L (2015) Assessing the air quality impact of nitrogen oxides and benzene from road traffic and domestic heating and the associated cancer risk in an urban area of Verona (Italy). Atmos Environ 120:234–243. https://doi.org/10.1016/j.atmosenv.2015.08.054
Sekar A, Varghese GK, Ravi-Varma MK (2019) Analysis of benzene air quality standards, monitoring methods and concentrations in indoor and outdoor environment. Heliyon 5:e02918. https://doi.org/10.1016/j.heliyon.2019.e02918
Sen PK (1968) Estimates of the regression coefficient based on Kendall’s Tau. J Am Stat Assoc 63:1379–1389. https://doi.org/10.1080/01621459.1968.10480934
Song SK, Shon ZH, Kang YH, Kim KH, Han SB, Kang M, Bang JH, Oh I (2019) Source apportionment of VOCs and their impact on air quality and health in the megacity of Seoul. Environ Pollut 247:763–774. https://doi.org/10.1016/j.envpol.2019.01.102
Soni V, Singh P, Shree V, Goel V (2018) Effects of VOCs on human health. In: Sharma N, Agarwal A, Eastwood P, Gupta T, Singh A (eds) Air pollution and control. Energy, environment, and sustainability. Springer, Singapore, pp 119–142
Stojić A, Stanić N, Vuković G, Stanišić S, Perišić M, Šoštarić A, Lazić L (2019) Explainable extreme gradient boosting tree-based prediction of toluene, ethylbenzene and xylene wet deposition. Sci Total Environ 653:140–147. https://doi.org/10.1016/j.scitotenv.2018.10.368
Surles JG, Padgett WJ (2001) Inference for reliability and stress-strength for a scaled Burr Type X distribution. Lifetime Data Anal 7:187–200
Sustainability for all (2019). https://www.activesustainability.com/environment/effects-air-pollution-human-health/. Accessed 25 May 2020
Tiwari V, Hanai Y, Masunaga S (2010) Ambient levels of volatile organic compounds in the vicinity of petrochemical industrial area of Yokohama, Japan. Air Qual Atmos Health 3:65–75. https://doi.org/10.1007/s11869-009-0052-0
Wei W, Lv Z, Yang G, Cheng S, Li Y, Wang L (2016) VOCs emission rate estimate for complicated industrial area source using an inverse-dispersion calculation method: a case study on a petroleum refinery in Northern China. Environ Pollut 218:681–688. https://doi.org/10.1016/j.envpol.2016.07.062
Whitworth KW, Symanski E, Lai D, Coker AL (2011) Kriged and modeled ambient air levels of benzene in an urban environment: an exposure assessment study. Environ Health 10:21. https://doi.org/10.1186/1476-069X-10-21
WHO (2018) Ambient air pollution: Health impacts. https://www.who.int/airpollution/ambient/health-impacts/en/. Accessed 25 May 2020
Xu J, Tie X, Gao W, Lin Y, Fu Q (2019) Measurement and model analyses of the ozone variation during 2006 to 2015 and its response to emission change in megacity Shanghai, China. Atmos Chem Phys 19:9017–9035. https://doi.org/10.5194/acp-19-9017-2019
Yari G, Tondpour Z (2017) The new Burr distribution and its application. Math Sci 11(1):47–54. https://doi.org/10.1007/s40096-016-0203-z
Zhang X, Ding X, Wang X, Talifu D, Wang G, Zhang Y, Abulizi A (2019) Volatile organic compounds in a petrochemical region in Arid of NW China: chemical reactivity and source apportionment. Atmosphere 10:641. https://doi.org/10.3390/atmos10110641
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Many thanks to Professor Mohamed F. Yassin that considered our work important and invited us to submit the manuscript to the special issue ICAAQSE-2020.
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A.B. and L.B. contributed to conceptualization; A.B. contributed to methodology, validation, and formal analysis, L.B. was involved in investigation and data curation; A.B. contributed to writing—original draft preparation, writing—review and editing, visualization, and supervision. All authors have read and agreed to the published version of the manuscript.
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Bărbulescu, A., Barbeş, L. Statistical assessment and modeling of benzene level in atmosphere in Timiş County, Romania. Int. J. Environ. Sci. Technol. 19, 817–828 (2022). https://doi.org/10.1007/s13762-020-02951-2
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DOI: https://doi.org/10.1007/s13762-020-02951-2