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Appendix C Modeled vs. Monitored Data Analyses
C â 1 Appendix C - Modeled vs. Monitored Data Analyses List of Tables Table 1. R2 Values: ADL .............................................................................................................................. 9 Table 2. R2 Values: LAX SPAS .................................................................................................................... 9 Table 3. R2 Values: YUL .............................................................................................................................. 9 Table 4. Correlation Coefficients: ADL ....................................................................................................... 9 Table 5. Correlation Coefficients: LAX SPAS ............................................................................................. 9 Table 6. Correlation Coefficients: YUL ....................................................................................................... 9 Table 7. Mse: ADL ..................................................................................................................................... 10 Table 8. Mse: LAX SPAS ........................................................................................................................... 10 Table 9. Mse: YUL ..................................................................................................................................... 10 Table 10. Max Value: ADL ........................................................................................................................ 11 Table 11. Max Value: LAX SPAS .............................................................................................................. 11 Table 12. Max Value: YUL ........................................................................................................................ 11 List of Figures Figure 1. YUL Modeled NO2 - Monitored NO2 by Wind Direction: FULL ............................................... 4 Figure 2. YUL Modeled NO2 - Monitored NO2 by Wind Direction: ARM2 .............................................. 4 Figure 3. YUL Modeled NO2 - Monitored NO2 by Wind Direction: OLM ................................................ 5 Figure 4. YUL Modeled NO2 - Monitored NO2 by Wind Direction: OLM W/ Variable ............................ 5 Figure 5. YUL Modeled NO2 - Monitored NO2 by Wind Direction: PVMRM .......................................... 6 Figure 6. YUL Modeled NO2 - Monitored NO2 by Wind Direction: PVMRM W/ Variable ...................... 6 Figure 7. YUL Monitored NO2 - Modeled NO2 and Temperature .............................................................. 7 Figure 8. YUL Histogram of Temperatures .................................................................................................. 7 Figure 9. YUL Monitored NO2 - Modeled NO2 and Relative Humidity ..................................................... 8 Figure 10. YUL Histogram of Relative Humidity ........................................................................................ 8 Figure 11. Q-Q NO2 Plots for the ADL Dataset (64 Ppb Data Threshold) ................................................ 12 Figure 12. Q-Q NO2 Plots for the ADL Dataset (200 Ppb Data Threshold) .............................................. 12 Figure 13. Q-Q NO2 Plots for the ADL Dataset (400 Ppb Data Threshold) .............................................. 13 Figure 14. Q-Q NO2 Plots for the ADL Dataset (600 Ppb Data Threshold) .............................................. 13 Figure 15. Q-Q NO2 Plots for the ADL Dataset (All Data) ....................................................................... 14 Figure 16. Q-Q NO2 Plots for the LAX SPAS Dataset (92 Ppb Data Threshold) ...................................... 14 Figure 17. Q-Q NO2 Plots for the LAX SPAS Dataset (200 Ppb Data Threshold) .................................... 15 Figure 18. Q-Q NO2 Plots for the LAX SPAS Dataset (400 Ppb Data Threshold) .................................... 15 Figure 19. Q-Q NO2 Plots for the LAX SPAS Dataset (600 Ppb Data Threshold) .................................... 16 Figure 20. Q-Q NO2 Plots for the LAX SPAS Dataset (All Data) ............................................................. 16 Figure 21. Q-Q NO2 Plots for the YUL Dataset (81 Ppb Data Threshold) ................................................ 17 Figure 22. Q-Q NO2 Plots for the YUL Dataset (200 Ppb Data Threshold) .............................................. 17 Figure 23. Q-Q NO2 Plots for the YUL Dataset (400 Ppb Data Threshold) .............................................. 18 Figure 24. Q-Q NO2 Plots for the YUL Dataset (600 Ppb Data Threshold) .............................................. 18 Figure 25. Q-Q NO2 Plots for the YUL Dataset (All Data) ....................................................................... 19 Figure 26. Monitored vs. Modeled NO2 Scatterplots: ADL (64 Ppb Data Threshold) .............................. 20 Figure 27. Monitored vs. Modeled NO2 Scatterplots: ADL (200 Ppb Data Threshold) ............................ 20 Figure 28. Monitored vs. Modeled NO2 Scatterplots: ADL (400 Ppb Data Threshold) ............................ 21 Figure 29. Monitored vs. Modeled NO2 Scatterplots: ADL (600 Ppb Data Threshold) ............................ 21 Figure 30. Monitored vs. Modeled NO2 Scatterplots: ADL (All Data) ..................................................... 22Â
C â 2  Figure 31. Monitored vs. Modeled NO2: ADL........................................................................................... 22 Figure 32. Monitored vs. Modeled NO2: LAX AQSAS Season 1 AQ ...................................................... 23 Figure 33. Monitored vs. Modeled NO2: LAX AQSAS Season 1 CE ....................................................... 23 Figure 34. Monitored vs. Modeled NO2: LAX AQSAS Season 1 CN ....................................................... 24 Figure 35. Monitored vs. Modeled NO2: LAX AQSAS Season 1 CS ....................................................... 24 Figure 36. Monitored vs. Modeled NO2: LAX AQSAS Season 2 AQ ...................................................... 25 Figure 37. Monitored vs. Modeled NO2: LAX AQSAS Season 2 CE ....................................................... 25 Figure 38. Monitored vs. Modeled NO2: LAX AQSAS Season 2 CN ....................................................... 26 Figure 39. Monitored vs. Modeled NO2: LAX AQSAS Season 2 CS ....................................................... 26 Figure 40. Monitored vs. Modeled NO2: LAX SPAS ................................................................................ 27 Figure 41. Monitored vs. Modeled NO2: YUL........................................................................................... 27 Figure 42. Monitored vs. Modeled NO2 Scatterplots: LAX SPAS (92 Ppb Data Threshold) .................... 28 Figure 43. Monitored vs. Modeled NO2 Scatterplots: LAX SPAS (200 Ppb Data Threshold) .................. 28 Figure 44. Monitored vs. Modeled NO2 Scatterplots: LAX SPAS (400 Ppb Data Threshold) .................. 29 Figure 45. Monitored vs. Modeled NO2 Scatterplots: LAX SPAS (600 Ppb Data Threshold) .................. 29 Figure 46. Monitored vs. Modeled NO2 Scatterplots: LAX SPAS (All Data) ........................................... 30 Figure 47. Monitored vs. Modeled NO2 Scatterplots: YUL (81 Ppb Data Threshold) .............................. 30 Figure 48. Monitored vs. Modeled NO2 Scatterplots: YUL (200 Ppb Data Threshold) ............................ 31 Figure 49. Monitored vs. Modeled NO2 Scatterplots: YUL (400 Ppb Data Threshold) ............................ 31 Figure 50. Monitored vs. Modeled NO2 Scatterplots: YUL (600 Ppb Data Threshold) ............................ 32 Figure 51. Monitored vs. Modeled NO2 Scatterplots: YUL (All Data) ..................................................... 32 Figure 52. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: ADL (64 Ppb Data Threshold) ............ 33 Figure 53. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: ADL (200 Ppb Data Threshold) .......... 33 Figure 54. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: ADL (400 Ppb Data Threshold) .......... 34 Figure 55. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: ADL (600 Ppb Data Threshold) .......... 34 Figure 56. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: ADL (All Data) ................................... 35 Figure 57. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: LAX SPAS (92 Ppb Data Threshold) . 35 Figure 58. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: LAX SPAS (200 Ppb Data Threshold) 36 Figure 59. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: LAX SPAS (400 Ppb Data Threshold) 36 Figure 60. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: LAX SPAS (600 Ppb Data Threshold) 37 Figure 61. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: LAX SPAS (All Data) ........................ 37 Figure 62. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: YUL (81 Ppb Data Threshold) ............ 38 Figure 63. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: YUL (200 Ppb Data Threshold) .......... 38 Figure 64. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: YUL (400 Ppb Data Threshold) .......... 39 Figure 65. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: YUL (600 Ppb Data Threshold) .......... 39 Figure 66. Monitored vs. Modeled NO2/NOx Ratio Scatterplots: YUL (All Data) ................................... 40Â
C â 3 Table of Contents 1. Meteorological Data Influences ............................................................................................................ 4 1.1. Wind Direction .............................................................................................................................. 4 1.2. Temperature ................................................................................................................................. 7 1.3. Relative Humidity .......................................................................................................................... 8 2. Removing High NO2 Values ................................................................................................................ 9 2.1. R2 Values ....................................................................................................................................... 9 2.2. Mean Squared Error .................................................................................................................... 10 2.3. Max Values .................................................................................................................................. 11 2.4. QâQ Plots ..................................................................................................................................... 12 2.4.1. ADL ...................................................................................................................................... 12 2.4.2. LAX SPAS .............................................................................................................................. 14 2.4.3. YUL ...................................................................................................................................... 17 2.5. Monitored vs. Modeled NO2 Scatterplots .................................................................................. 20 2.5.1. ADL .................................................................................................................................... 20 2.5.2. LAX AQSAS ...................................................................................................................... 22 2.5.3. LAX SPAS .......................................................................................................................... 28 2.5.4. YUL .................................................................................................................................... 30 2.6. Monitored To Modeled NO2/NOx Ratio Scatterplots ................................................................ 33 2.6.1. ADL .................................................................................................................................... 33 2.6.2. LAX SPAS .......................................................................................................................... 35 2.6.3. YUL .................................................................................................................................... 38Â
 1. Meteo 1.1. W rological Da ind Directi Figure 1 Figure 2. ta Influence on . YUL Mode YUL Mode s led NO2 - M led NO2 - M C â 4 onitored NO onitored NO 2 by Wind D 2 by Wind D irection: FU irection: AR LL M2
Fi Figure 3 gure 4. YUL . YUL Mode Modeled NO led NO2 - M 2 - Monitor C â 5 onitored NO ed NO2 by W 2 by Wind ind Direct Direction: O ion: OLM W LM / Variable
 Figu Figure 5. Y re 6. YUL M UL Modele odeled NO2 d NO2 - Mo - Monitored C â 6 nitored NO2 NO2 by W by Wind D ind Directio irection: PV n: PVMRM MRM W/ Variable
1.2. Temperature Figure 7. YUL M Figur onitored NO e 8. YUL Hi C â 7 2 - Modeled stogram of T NO2 and T emperature emperature s
 1.3. Relative Hum Figure idity 9. YUL Mon Figure 1 itored NO2 0. YUL Hist C â 8 - Modeled N ogram of Re O2 and Rel lative Humi ative Humid dity ity
C â 9 2. Removing High NO2 Values 2.1. R2 Values Table 1. R2 Values: ADL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(64) 3.23e-05 3.12e-05 1.15e-05 1.93e-06 1.55e-05 3.01e-10 200 0.002 0.002 0.002 0.001 0.002 0.001 400 0.003 0.002 0.003 0.003 0.003 0.003 600 0.003 0.003 0.003 0.003 0.003 0.003 All (No Cap) 0.003 0.002 0.003 0.002 0.003 0.003 Table 2. R2 Values: LAX SPAS Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(92) 0.115 0.120 0.115 0.117 0.118 0.115 200 0.106 0.133 0.114 0.119 0.109 0.107 400 0.095 0.136 0.109 0.114 0.098 0.097 600 0.095 0.136 0.109 0.114 0.098 0.097 All (No Cap) 0.028 0.038 0.032 0.034 0.029 0.029 Table 3. R2 Values: YUL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(81) 0.073 0.075 0.073 0.073 0.073 0.072 200 0.063 0.076 0.067 0.066 0.063 0.063 400 0.052 0.077 0.062 0.059 0.052 0.052 600 0.047 0.079 0.059 0.056 0.048 0.047 All (No Cap) 0.029 0.066 0.042 0.038 0.030 0.029 * Note That Scatterplots and R2 Values Are Provided for LAXaqsas Seasons 1 and 2 But No Analysis Was Done On Removing High NO2 Values. Correlation Coefficients Table 4. Correlation Coefficients: ADL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(64) 0.006 0.006 0.003 -0.001 0.004 -1.735 200 0.044 0.041 0.041 0.038 0.041 0.037 400 0.055 0.049 0.052 0.050 0.053 0.050 600 0.058 0.051 0.055 0.053 0.056 0.053 All (No Cap) 0.055 0.049 0.052 0.050 0.053 0.051 Table 5. Correlation Coefficients: LAX SPAS Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(92) 0.340 0.346 0.340 0.341 0.343 0.340 200 0.325 0.365 0.338 0.345 0.329 0.327 400 0.308 0.369 0.329 0.337 0.312 0.311 600 0.308 0.369 0.329 0.337 0.312 0.311 All (No Cap) 0.167 0.196 0.180 0.184 0.171 0.170 Table 6. Correlation Coefficients: YUL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(81) 0.271 0.273 0.270 0.271 0.270 0.269 200 0.250 0.275 0.259 0.256 0.250 0.250 400 0.228 0.278 0.248 0.243 0.229 0.228 600 0.217 0.280 0.243 0.236 0.218 0.217 All (No Cap) 0.170 0.257 0.204 0.196 0.173 0.170
C â 10  2.2. Mean Squared Error Table 7. Mse: ADL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(64) 123.40 119.28 119.06 116.93 119.22 119.11 200 178.74 139.98 150.65 138.31 162.02 159.04 400 230.32 143.83 167.97 152.13 198.90 193.86 600 252.84 144.41 190.50 174.65 221.42 216.38 All (No Cap) 252.47 144.36 190.31 174.51 221.15 216.12 Table 8. Mse: LAX SPAS Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(92) 448.97 439.53 444.48 441.97 444.44 445.18 200 633.10 468.48 556.58 526.61 595.46 595.95 400 783.70 474.89 625.63 576.93 718.88 719.37 600 783.70 474.89 625.63 576.93 718.88 719.37 All (No Cap) 783.70 474.89 625.63 576.93 718.88 719.37 Table 9. Mse: YUL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(81) 157.02 149.54 150.26 148.12 151.24 151.18 200 238.37 170.58 191.89 189.06 212.68 211.59 400 339.00 175.63 225.39 224.96 288.42 287.50 600 428.92 177.81 251.76 257.09 356.12 358.88 All (No Cap) 682.02 186.11 321.81 334.08 534.66 560.81
C â 11 2.3. Max Values Table 10. Max Value: ADL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(64) 63.58 56.25 57.19 57.19 57.22 57.22 200 171.98 75.79 142.55 142.55 154.79 154.79 400 309.57 84.01 185.74 182.33 278.61 278.61 600 453.87 90.77 453.87 453.87 453.87 453.87 All (No Cap) 453.87 90.77 453.87 453.87 453.87 453.87 Table 11. Max Value: LAX SPAS Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(92) 88.85 66.73 88.85 88.85 88.85 88.85 200 198.18 76.16 194.24 194.24 194.24 194.24 400 330.77 85.88 298.29 298.29 298.29 298.29 600 330.77 85.88 298.29 298.29 298.29 298.29 All (No Cap) 330.77 85.88 298.29 298.29 298.29 298.29 Table 12. Max Value: YUL Cap Limit FULL ARM2 OLM OLM W/ V PVMRM PVMRM W/ V Unique(81) 80.78 63.99 72.70 72.70 72.70 72.70 200 189.72 76.01 133.33 148.28 170.74 170.74 400 397.85 88.95 233.62 254.45 355.36 355.36 600 581.47 116.29 310.32 333.21 523.32 523.32 All (No Cap) 1100.36 220.07 577.90 595.22 885.33 990.32
 2.4. Q 2. -Q Plots 4.1. ADL Figure 1 Figure 1 1. Q-Q NO2 2. Q-Q NO2 Plots for th Plots for the C â 12 e ADL Data ADL Datas set (64 Ppb D et (200 Ppb ata Thresh Data Thresh old) old)
Figure 1 Figure 1 3. Q-Q NO2 4. Q-Q NO2 Plots for the Plots for the C â 13 ADL Datas ADL Datas et (400 Ppb et (600 Ppb Data Thresh Data Thresh old) old)
  2. F 4.2.LAX SP Figure 16. igure 15. Q AS Q-Q NO2 Pl -Q NO2 Plot ots for the L C â 14 s for the AD AX SPAS D L Dataset (A ataset (92 Pp ll Data) b Data Threshold)
Figure 17. Q Figure 18. Q -Q NO2 Plo -Q NO2 Plo ts for the LA ts for the LA C â 15 X SPAS Da X SPAS Da taset (200 P taset (400 P pb Data Thr pb Data Thr eshold) eshold)
 Figure 19. Q Fig -Q NO2 Plo ure 20. Q-Q ts for the LA NO2 Plots fo C â 16 X SPAS Da r the LAX S taset (600 P PAS Datase pb Data Thr t (All Data) eshold)
2.4.3. YUL Figure 2 Figure 2 1. Q-Q NO2 2. Q-Q NO2 Plots for th Plots for the C â 17 e YUL Data YUL Datas set (81 Ppb D et (200 Ppb ata Thresh Data Thresh old) old)
 Figure 2 Figure 2 3. Q-Q NO2 4. Q-Q NO2 Plots for the Plots for the C â 18 YUL Datas YUL Datas et (400 Ppb et (600 Ppb Data Thresh Data Thresh old) old)
Figure 25. Q-Q NO2 Plot C â 19 s for the YUL Dataset (All Data)
 2.5 M 2. F Fi onitored vs. 5.1 ADL igure 26. Mo gure 27. Mo Modeled NO nitored vs. M nitored vs. M 2 Scatterpl odeled NO odeled NO C â 20 ots 2 Scatterplo 2 Scatterplot ts: ADL (64 s: ADL (200 Ppb Data T Ppb Data T hreshold) hreshold)
Fi Fi gure 28. Mo gure 29. Mo nitored vs. M nitored vs. M odeled NO odeled NO C â 21 2 Scatterplot 2 Scatterplot s: ADL (400 s: ADL (600 Ppb Data T Ppb Data T hreshold) hreshold)
 2.5.2 L *All Data Figur AX AQSAS , No Caps S e 30. Monito et Figure red vs. Mode 31. Monitor C â 22 led NO2 Sca ed vs. Mode tterplots: A led NO2: AD DL (All Dat L a)
Figur Figur e 32. Monito e 33. Monito red vs. Mod red vs. Mod C â 23 eled NO2: L eled NO2: L AX AQSAS AX AQSAS Season 1 AQ Season 1 CE
 Figur Figur e 34. Monito e 35. Monito red vs. Mod red vs. Mod C â 24 eled NO2: L eled NO2: L AX AQSAS AX AQSAS Season 1 CN Season 1 C S
Figur Figur e 36. Monito e 37. Monito red vs. Mod red vs. Mod C â 25 eled NO2: L eled NO2: L AX AQSAS AX AQSAS Season 2 AQ Season 2 CE
 Figur Figur e 38. Monito e 39. Monito red vs. Mod red vs. Mod C â 26 eled NO2: L eled NO2: L AX AQSAS AX AQSAS Season 2 CN Season 2 C S
Figure 40 Figure . Monitored 41. Monitor C â 27 vs. Modeled ed vs. Mode NO2: LAX led NO2: YU SPAS L
 2.5.3 L Figu Figu AX SPAS re 42. Monit re 43. Monit ored vs. Mo ored vs. Mod deled NO2 S eled NO2 Sc C â 28 catterplots: atterplots: L LAX SPAS AX SPAS ( (92 Ppb Dat 200 Ppb Dat a Threshold) a Threshold )
Figu Figu re 44. Monit re 45. Monit ored vs. Mod ored vs. Mod eled NO2 Sc eled NO2 Sc C â 29 atterplots: L atterplots: L AX SPAS ( AX SPAS ( 400 Ppb Dat 600 Ppb Dat a Threshold a Threshold ) )
 2.5.4 Y F Figure 46 UL igure 47. Mo . Monitored nitored vs. M vs. Modeled odeled NO C â 30 NO2 Scatte 2 Scatterplo rplots: LAX ts: YUL (81 SPAS (All D Ppb Data T ata) hreshold)
Fi Fi gure 48. Mo gure 49. Mo nitored vs. M nitored vs. M odeled NO odeled NO C â 31 2 Scatterplot 2 Scatterplot s: YUL (200 s: YUL (400 Ppb Data T Ppb Data T hreshold) hreshold)
 Fi gure 50. Mo Figur nitored vs. M e 51. Monito odeled NO red vs. Mode C â 32 2 Scatterplot led NO2 Sca s: YUL (600 tterplots: Y Ppb Data T UL (All Dat hreshold) a)
2.6 M 2.6.1 A Figure Figure onitored To DL 52. Monitor 53. Monitore Modeled NO ed vs. Mode d vs. Model 2/NOx Rat led NO2/NO ed NO2/NOx C â 33 io Scatterplo x Ratio Scat Ratio Scatt ts terplots: AD erplots: ADL L (64 Ppb D (200 Ppb D ata Thresho ata Thresho ld) ld)
 Figure Figure 54. Monitore 55. Monitore d vs. Model d vs. Model ed NO2/NOx ed NO2/NOx C â 34 Ratio Scatt Ratio Scatt erplots: ADL erplots: ADL (400 Ppb D (600 Ppb D ata Thresho ata Thresho ld) ld)
2.6.2 L Figu Figure 56. M AX SPAS re 57. Monit onitored vs ored vs. Mo . Modeled N deled NO2/N T C â 35 O2/NOx Ra Ox Ratio Sc hreshold) tio Scatterpl atterplots: L ots: ADL (A AX SPAS ( ll Data) 92 Ppb Data
 Figu Figu re 58. Monit re 59. Monit ored vs. Mod ored vs. Mod eled NO2/N T eled NO2/N T C â 36 Ox Ratio Sc hreshold) Ox Ratio Sc hreshold) atterplots: L atterplots: L AX SPAS (2 AX SPAS (4 00 Ppb Data 00 Ppb Data
Figu Fig re 60. Monit ure 61. Mon ored vs. Mod itored vs. M eled NO2/N T odeled NO2 C â 37 Ox Ratio Sc hreshold) /NOx Ratio atterplots: L Scatterplots AX SPAS (6 : LAX SPAS 00 Ppb Data (All Data)
 2.6.3 Y Figure Figure UL 62. Monitor 63. Monitore ed vs. Mode d vs. Model led NO2/NO ed NO2/NOx C â 38 x Ratio Scat Ratio Scatt terplots: YU erplots: YUL L (81 Ppb D (200 Ppb D ata Thresho ata Thresho ld) ld)
Figure Figure 64. Monitore 65. Monitore d vs. Model d vs. Model ed NO2/NOx ed NO2/NOx C â 39 Ratio Scatt Ratio Scatt erplots: YUL erplots: YUL (400 Ppb D (600 Ppb D ata Thresho ata Thresho ld) ld)
 Figure 66. Monitored vs. Modeled N C â 40 O2/NOx Ratio Scatterplots: YUL (All Data)