10.1111/ina.12145 Online supporting information for the following article published in Indoor Air DOI: TO BE ADDED BY THE PRODUCTION EDITOR Characterizations, relationship and potential sources of outdoor and indoor particulate matter bound polycyclic aromatic hydrocarbons (PAHs) in a community of Tianjin, Northern China Bin Han (1), Zhipeng Bai (1), Yating Liu (2),Yan You (3), Jia Xu (2), Jian Zhou (4), Jiefeng Zhang (5), Can Niu (3), Nan Zhang (2), Fei He (6), Xiao Ding (7) (1) Chinese Research Academy of Environmental Sciences, 8#, Anwai Beiyuan Chaoyang District , Beijing 100012, China (2) Nankai University - College of Environmental Science and Engineering, Tianjin, China (3) Chinese Academy of Science - Research Center for Eco-Environmental Science, Beijing, China (4) Nanyang Technological University - Energy Research Institute, Singapore (5) Nanyang Technological University - Division of Environmental and Water Resources, School of Civil and Environmental Engineering, Singapore (6) Hubei Provincial Meteorological Service Center, Wuhan, Hubei, China (7) National University of Singapore - Department of Building, School of Design and Environment, Singapore Corresponding author: Dr Han Bin (nk_hanbin@126.com) 1. Introduction of the occupants’ recruitment 1.1 General characteristics of the study population General characteristics of 80 participants are summarized in Table 2. There were 47 male and 33 female with a mean age of 71 years. Based on questionnaires, 13 participants were found to be smokers (16.2% of the total number). Table S1 General characteristics of participants (n=80). Characteristics Sex Non-heating period Heating period Male 47 Female 33 Smoking in the Yes 13 13 sampling period No 67 67 Cooking in the Yes 43 52 sampling period No 37 28 Cleaning in the Yes 48 45 sampling period No 32 35 Windows opened Yes 80 25 No 0 55 1.2 Smoking As shown in Table S1, 13 occupants smoked in this study. Table S2 gave the t test result between smoking and non-smoking occupants. Table S2 ΣPAHs personal exposure associated with specific activities (t test) Non-heating period Activity ETS-exposed Mean SD 78.79 34.05 Non-ETS 73.95 37.50 Cooking 85.65 39.34 Non-cooking 70.37 35.11 Cleaning 72.99 29.45 Non-cleaning 81.38 44.89 Heating period p 0.68 0.09 0.35 Mean SD 320.15 111.08 296.93 157.82 240.04 163.14 232.06 154.25 258.04 153.71 196.21 163.31 p 0.37 0.88 0.24 1.3 Cooking Most occupants cook, however, the kitchens in Chinese apartments are usually located at the balcony, and the door is closed when cooking. There also are some kitchen ventilators to discharge the cooking fume. This is different from the western style kitchen, which is adjacent to the sitting room and there is no wall or something else to separate them from each other. What’s more, the occupants are old, and they are prone to cook meals by boiling or steaming, instead of the fierce fry cook. This kind of cooking style emits less gaseous or particulate pollutants. 1.4 heating mode The heating mode adopted by occupants is central heating in winter, which is also a common heating mode in Chinese urban family. The central heating companies, which are managed by the government, use heating boiler to supply hot water or steam to each family by heating pipeline. If the indoor temperature is not high enough, some families will use air conditioner or electric radiator for heating. 1.5 ventilation mode There is no central ventilation in the building where occupants live, so the ventilation mode they used is opening or closing windows and doors. Moreover, the sampling campaign in non-heating period was conducted in August and September. In this period, the weather is not too hot. In addition, these occupants are old, and they prefer to living without air conditioning, because it will make them uncomfortable. 2. PAHs chemical analysis 2.1 Standard Solution Standard reference materials used in this study was the mixture of EPA 610 (Polynuclear Aromatic Hydrocarbons Mix, Supelco #48743, containing 16 PAH individuals), BeP standard (Supelco #36962) and Cor Standard (Supelco #36963). The range of standard solution was shown in Table S3. Table. S3 PAHs concentration in standard solution grads (μg/ml) PAHs 1# PAHs 2# PAHs 3# PAHs 4# PAHs 5# 1/100 1/200 1/385 1/500 1/1250 200.2 2 1 0.52 0.4 0.32 Phe 99.9 1 0.5 0.26 0.2 0.16 Pyr 100.1 1 0.5 0.26 0.2 0.16 BaA 100.1 1 0.5 0.26 0.2 0.16 Chr 100.2 1 0.5 0.26 0.2 0.16 BbF 200.2 2 1 0.52 0.4 0.32 BkF 100.2 1 0.5 0.26 0.2 0.16 BeP 102 1.02 0.51 0.27 0.2 0.16 BaP 100 1 0.5 0.26 0.2 0.16 IND 100 1 0.5 0.26 0.2 0.16 BghiP 200.1 2 1 0.52 0.4 0.32 Cor 100 1 0.5 0.26 0.2 0.16 PAHs Original solution Flu The internal standards used in this study were: D12-Perylene for BeP, BaP and BkF, D12-Chrysene for BaA, CHR and PYR, D10-Acenaphthene for FLU, BghiP, IND, BbF and COR, D10-Phenanthrene for PHE. The detailed information was added in Table S4. Table S4 Summary of the PAH analysis and Quality Control/Quality Assurance PAH Number of rings Ion monitored Surrogate Standard Internal Standard Method Detection Limit (ng/ml) FLU PHE PYR BaA BbF CHR BkF BeP BaP IND BghiP COR 3 3 4 4 4 4 5 5 5 6 6 7 166 178 202 216 216 228 252 252 252 276 276 300 D10-Fluorene D10-Fluoranthene D10-Fluoranthene D10-Fluoranthene D10-Fluoranthene D10-Fluoranthene D12-Benzo(a)pyrene D12-Benzo(a)pyrene D12-Benzo(a)pyrene D12-Benzo(a)pyrene D12-Benzo(a)pyrene D12-Benzo(a)pyrene D10-Acenaphthene D10-Phenanthrene D12-Chrysene D12-Chrysene D10-Acenaphthene D12-Chrysene D12-Perylene D12-Perylene D12-Perylene D10-Acenaphthene D10-Acenaphthene D10-Acenaphthene 6 8 6 10 10 10 10 12 12 10 10 12 Recovery % RSD , % percentage below the LODs, % 86.61 89.60 84.54 81.22 84.91 84.91 87.08 88.83 92.68 81.15 82.48 86.90 7.71 3.78 5.61 6.78 9.25 7.14 9.63 4.26 6.79 12.74 14.52 6.80 1.6% 2.6% 5.2% 2.1% 6.8% 5.1% 5.7% 6.3% 4.0% 7.2% 7.5% 6.0% 3. City development data According to Tianjin Statistical Yearbook 2012 (2013), the city development data of Tianjin, including air pollutants emission amount, number of civil motor vehicles, floor Space of building under construction, final consumption of energy, gross domestic product and registered population, are listed in Table S5. Table. S5 The urban development data of Tianjin Urban development data 2010 2011 2012 SO2 NOx dust Number of Civil Motor Vehicles Owned (million) 235150 239736 71915 230900 358900 75923 224521 334225 84061 1.59 2.10 2.21 Floor Space of Building under Construction (10 000 m2) 7564.29 10058.78 12484.91 Final Consumption of Energy (10 000 tons of Standard Coal Equivalent) 6574.87 7346.13 7927.48 Gross Domestic Product (100 million yuan) 9224.46 11307.28 12893.88 Registered Population (10 000 persons) 984.85 996.44 993.20 Air pollutants Emission data (ton) 4. Data analysis 4.1 Random component superposition (RCS) statistical model based on linear regression Ott et al. (2000) presented a random component superposition (RCS) model based not on micro-environmental concentrations and activity patterns but on statistical interrelationships among variables and field study measurements. Meng et al. (2005) applied this model and assumed perfect instantaneous mixing and that factors affecting indoor concentrations are either constant or change slowly throughout the monitoring period. The steady-state indoor PM mass concentration can be described with a single compartment mass balance model. Indoor PM concentrations are described as the sum of PM generated outdoors (ambient contribution) and PM generated indoors (nonambient contribution), as follows Ci = FINF Ca + Cpig (1) Where Ci is the indoor PM mass concentration, Ca is the ambient (outdoor) PM mass concentration, FINF is the dimensionless infiltration factor, Cpig is the concentration of indoor-generated PM found indoors, and FINF is related to the air exchange rate (h-1), particle loss rate (h-1) and penetration coefficient. (Meng et al., 2005) In this study, the RSC model computes a constant infiltration factor, FINF, from the linear regression of all measured outdoor particulate PAH concentrations and indoor PAH concentrations (see eq 1). The product of FINF with each outdoor concentration, Ca, provides an estimated mean, median, and standard deviation of the outdoor contribution (Cai) to indoor PAHs. The accuracy of FINF obtained this way increases as the number of measurements increases. This is because the slope (FINF) is easily influenced by outliers. The standard deviation of the outdoor contribution to indoor PAHs obtained by the RCS model is not affected by this limitation. 4.2 Microscopic mixture model based on robust regression analysis This model used all measured PAH values and combined them to calculate the infiltration factor home by home, rather than species to species. In the same home, all concurrently measured PAHs experience the same air exchange behavior. This method assumed that indoor and outdoor PAH concentrations were independent. Meng et al. (2005) reported that the PM infiltration factor for one home during the sampling period could be estimated by regressing the indoor species concentrations on the outdoor species concentrations measured concurrently in that home using a robust regression. Robust regression is a regression analysis designed to avoid some limitations of traditional parametric and non-parametric regression methods. Normal regression analysis aims to identify the relationship between one or more independent variables and a dependent variable. However, certain widely employed regression methods, such as ordinary least squares, have favorable properties if their underlying assumptions are true but can give misleading results if those assumptions are not true; therefore, ordinary least squares is not robust when there are violations of its assumptions. Robust regression methods are designed to not be overly affected by violations of assumptions in the underlying data-generating process. Reference Meng, Q.Y., Turpin, B.J., Polidori, A., Lee, J.H., Weisel, C., Morandi, M., Colome, S., Stock, T., Winer, A. and Zhang, J.F. (2005) PM2.5 of ambient origin: Estimates and exposure errors relevant to PM epidemiology. Environmental Science & Technology, 39, 5105-5112. Ott, W., Wallace, L. and Mage, D. (2000) Predicting particulate (PM10) personal exposure distributions using a random component superposition statistical model. Journal of the Air & Waste Management Association, 50, 1390-1406. Tianjin Municipal Bureau of Statistics. (2013) Tianjin Statistical Yearbook. China Statistics Press, Beijing.