AIR POLLUTION – MONITORING MODELLING AND HEALTH

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148 Air Pollution <strong>–</strong> Monitoring, Modelling and Health Table No. 3 shows the explicit model for the MARS models with 20 and 40 basis functions and the Gamma models for the years 2001, 2002 and 2003. The complexity of the model is seen in the number of basis functions incorporated into the explicit model, the model for 2002 has nine basis functions of which five are interactions of univariate basis functions, the BF9 and BF8 functions correspond to interactions of the mirror variable for vvm and the corresponding basis function associated with pm18. Fig. 3. Shows MARS model with 20 basis functions for 2003 and illustrates in part (a) the interaction of the basis functions max (0;72-pm18) and max (0; vvm-0,56) that generate the basis function BF10 which represents an interaction surface (Table N . 3). In the other figure (b) shows the surface contour are four regions where the letters A, B, C and D, D represents the area for values less than 0,56 meters per second (vvm) and particulate matter concentrations at 18 hours greater than 72 micrograms per cubic meter that generated by the interaction of both base functions with the maximum contribution values to the response variable of interest.
Critical Episodes of PM10 Particulate Matter Pollution in Santiago of Chile, an Approximation Using Two Prediction Methods: MARS Models and Gamma Models 149 Year 2001 Mars 20 basis function BF1 = max(0;pm18-180) BF7 = max(0; 1,035-vvm) BF2 = max(0; 180-pm18) BF9 = max(0;1,56-vvm)*BF1 BF3 = max(0; pm6-13) BF10 = max(0; pm0-241) BF5 = max(0; dtm-2,55) BF15 = max(0;87-pm6)*BF1 BF6 = max(0;vvm-1,03) BF16 = max(0;pm18-183)*BF6 pm10m=109,5-0,48*BF2+0,24*BF3+2,98*BF5+204,5*BF7+0,61*BF9+0,26*BF10-0,008*BF15+0,68*BF16 Gamma pm10m=exp(4,15+0,00076*pm0+0,00223*pm6+0,00292*pm18+0,02504*dtm-0,20295*vvm) Year 2002 Mars 40 basis function BF1 = max(0; pm18-137) BF7 = max(0; 1,307-vvm)*BF5 BF2 = max(0; 137-pm18) BF8 = max(0; vvm-1,522)*BF1 BF4 = max(0; 240-pm0) BF9 = max(0; 1,522-vvm)*BF1 BF5 = max(0; dtm+ 0,00000512) BF12 = max(0; vvm-0,998)*BF5 BF24 = max(0; vvm-0,867)*BF5 Gamma pm10m=146,343-0,553*BF2-0,286*BF4+7,072*BF7+2,093*BF8+0,537*BF9-22,888*BF12+21,844*BF24 pm10m=exp(3,818+0,00118*pm0+0,002267*pm6+0,00298*pm18+0,035488*dtm-0,149482*vvm) Year 2003 Mars 20 bases function BF1 = max(0; pm18-72) BF8 = max(0;212-pm0)*BF1 BF2 = max(0; 72-pm18) BF9 = max(0;pm0-1)*BF3 BF3 = max(0;pm6-16) BF10 = max(0;vvm-0,56)*BF2 BF5 = max(0;vvm-1,07) BF11 = max(0;dtm-8,17)*BF1 BF6 = max(0;1,07-vvm) BF16 = max(0;dtm-2,11) BF7 = max(0;pm0-212)*BF1 BF17 = max(0;pm18-79)*BF16 pm10m=94,2-1,58*BF2-25,99*BF5+111,24*BF6-0,0022*BF7-0,002*BF8+ 0,0009*BF9+0.75*BF10-0,1*BF11+2,02*BF16+0,1*BF17 Gamma pm10m=exp(3,885+0,00108*pm0+0,00107*pm6+0,0030047*pm18+0,02658*dtm) bf: basis functions; pm0, pm6, pm18: PM10 concentration at 00, 06 and 18 previous day, respectively; dtm: temperature difference of tomorrow; vvm: wind velocity of tomorrow. Table 3. Explicit MARS models for 20 and 40 basis functions and Gamma models for years 2001, 2002 and 2003. 4. Discussion The MARS modeling selects those significant predictors and detects possible interactions between them generating more flexible models from the point of view of interpretation; since interactions are always restricted to a subregion, they are expressed algebraically through the basis functions, generating a parsimonious model that represents without any further transformation the nature of the working variables. This procedure creates nodes or
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AIR POLLUTION - MONITORING, MODELLI
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Contents Preface IX Chapter 1 Urban
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Preface This book provides a compre
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10 Air Pollution - Monitoring, Mode
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AIR POLLUTION – MONITORING MODELLING AND HEALTH

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