3.1 Spatio - temporal distributions of ground-level ozone concentration
The simulation results over the entire MDR showed that the ground-level ozone concentration in the region ranges from 40.39 µg/m3 to 52.13 µg/m3. In zone one (FAZ), O3 concentrations ranged from 40.45 µg/m3 to 49.63 µg/m3 ; in zone two (PRZ) this value ranges from 40.39–43.11 µg/m3 ; in zone three (LXZ) in the range 42.13–48.01 µg/m3 ; in zone four (HMZ) the concentration ranged from 42.39 µg/m3 to 44.77 µg/m3 ; in zone five (TBZ) between 41.42–47.02 µg/m3; in zone six (CZ) the concentration ranged from 42.65 µg/m3 to 50.22 µg/m3; in zone seven (CPZ) this value ranged from 42.85 – 52.13 µg/m3. However, in Vietnam's National Technical Regulations, there is no regulation for the annual average threshold of O3 (QCVN 05:2013/BTNMT), based on simulation results, all seven zones above have a relatively high annual average ground-level O3 concentration, of which the highest is in zones six(CZ) and seven (CPZ) with average concentrations of 46.11 µg/m3 and 46.41 µg/m3, respectively, zone three (LXZ) had an average concentration of 44.70 µg/m3 (1.04 times lower than that of CPZ); followed by zones four (HMZ) and five (TBZ) with average concentrations of 43.35 µg/m3 and 43.19 µg/m3 respectively (1.07 and 1.08 times lower than that if CPZ, respectively); and zones one (FAZ) and two (PRZ) had the lowest average concentrations across the entire MDR with 42.70 µg/m3 and 41.83 µg/m3 respectively (1.09 and 1.11 times lower than that of CPZ, respectively). In each zone, the average ground-level O3 concentration tends to increase gradually from the inner delta to the coastal areas of the east and west coasts (especially the east coast and the southernmost at the tip of the South China Sea of Ca Mau province), from north to south, typically localities with concentrations > 48.5 µg/m3 concentrated mainly in part of Tien Giang, Ben Tre, Tra Vinh, Soc Trang, and Bac Lieu provinces (about the east, southeast, and south) of zone six (CZ); the eastern and south-eastern parts of Ca Mau and Bac Lieu provinces in zone seven (CPZ); and the western and southwestern parts of Kien Giang province in zone one FAZ (west coastal area). The map of ground-level O3 concentration by year and month is shown in Figures 3 and 4, respectively.
Figure 4. Spatio–temporal distribution of average ground-level O3 concentration in 2018 in the Mekong Delta Region
Figure 5. Spatio–temporal distribution of average monthly ground-level O3 concentrations in the MDR
3.2 Impacts of meteorological factors
The results of building a linear regression model between O3 concentration (CO3, yi) and meteorological factors, including temperature x1 (T, oK), relative humidity x2 (RH, %), pressure surface pressure (or pressure for short) x3 (P, Pa), and CO3 = F (T, RH, and P), are shown in Table 4. Regression calculation results shows that the correlation between temperature x1, relative humidity x2, and pressure x3 for the value of O3 concentration in six areas of the Mekong Delta has the form of (20) – (25), as follows:
Table 4. Calibrated equations CO3 = F (T, RH and P)

Table 4. Correlation equation CO3 = F(T, RH and P)
The correlation coefficients for the three meteorological factors in the six zones are RFAZ=0.417000, RPRZ=0.42529, RLXZ=0.31874, RTBZ=0.36530, RCZ=0.43631, and RCPZ=0.36806. In all six zones of the MDR, the O3 concentration values tended to increase to 3.0410 µg/m3, 3.2776 µg/m3, 3.2485 µg/m3, 2.7163 µg/m3, 4.2081 µg/m3 and 4,849 µg/m3 for every 1 unit (1 oK) increase in temperature (T), respectively (when relative humidity (RH) and surface pressure (P) remained unchanged). Similarly, for every 1 unit (1%) increase in RH, the O3 concentration tends to increase by 0.6476 µg/m3, 0.4885 µg/m3, 0.6606 µg/m3, 0.8825 µg/m3, 0.6320 µg/m3, and 0.7786 µg/m3, respectively (when T and P do not change), while P also has a similar positive effect when for every 1 unit (1 Pa) of P changes in an increasing direction, the O3 concentration also tended to increase to 7.4043 µg/m3, 7.1928 µg/m3, 5.9871 µg/m3, 6.6471 µg/m3, 8.6748 µg/m3, and 7.7107 µg/m3, respectively (when RH and T remained unchanged). Thus, all three meteorological factors, temperature, relative humidity, and surface pressure contribute to the increase in O3 concentration, in which surface pressure and temperature reflect the most significant impact of varying complexity depending on the geographical region.
Based on the results of the univariate analysis of each meteorological factor (Table S27), the correlation coefficient (R) of P was the highest in areas two (PRZ) and six (CZ) with an explanatory level of approximately 16.60% and 16.82%, respectively, and the R of T was highest in areas one (FAZ), six (CZ), and seven (CPZ).
The results of multivariable regression calculated at p-value show when considering all three meteorological factors mentioned above, are T, RH, and P for O3 concentration in the above six zones of the Mekong Delta; only the relative humidity RH and surface pressure P were statistically significant for (1) zone one (FAZ), zone three (LXZ), and zone five (TBZ; and (2) all three factors above were statistically significant in zone two (PRZ), zone six (CZ), and zone seven (CPZ),. Thus, in zones one (FAZ), three (LXZ), and five (TBZ), there were at least two meteorological factors (relative humidity and surface pressure) that were independent with significant predictive significance value of O3 concentration in these three zones. In zones two (PRZ), six (CZ), and seven (CPZ), all three meteorological factors above had a significant influence on the O3 concentration in each zone (Table 5).
Table 5. Values in univariate linear regression analysis in 06 zone in the MDR of CO3 = F(T), CO3 = F(RH) và CO3 = F(P)
Factors
|
α
|
β
|
R
|
R2
|
p-value
|
Agro-ecological zone one, FAZ
|
Temperature, T
|
1,105.1139
|
-3.5342
|
0.14782
|
0.02185
|
0.00465
|
Relative humidity , RH
|
42.6918
|
-0.0020
|
0.00058
|
0.000001
|
0.99118
|
Surface pressure, P
|
-5,907.9236
|
5.8983
|
0.39190
|
0.15359
|
0.00000
|
Agro-ecological zone two, PRZ
|
Temperature, T
|
361.0229
|
-1.0616
|
0.04037
|
0.00163
|
0.44195
|
Relative humidity , RH
|
72.0278
|
-0.4099
|
0.12546
|
0.01574
|
0.01648
|
Surface pressure, P
|
-5,844.6621
|
5.8349
|
0.40747
|
0.16603
|
0.00000
|
Agro-ecological zone three, LXZ
|
Temperature, T
|
820.1010
|
-2.5780
|
0.10060
|
0.01012
|
0.05484
|
Relative humidity , RH
|
34.5034
|
0.1346
|
0.03568
|
0.00127
|
0.49683
|
Surface pressure, P
|
-4,519.9515
|
4.5264
|
0.28588
|
0.08173
|
0.00000
|
Agro-ecological zone five, TBZ
|
Temperature, T
|
1,066.2555
|
-3.4042
|
0.13314
|
0.01773
|
0.01089
|
Relative humidity , RH
|
25.2459
|
0.2347
|
0.06487
|
0.00421
|
0.21634
|
Surface pressure, P
|
-4,785.1857
|
4.7847
|
0.30798
|
0.09485
|
0.00000
|
Agro-ecological zone six, CZ
|
Temperature, T
|
922.5689
|
-2.9204
|
0.11804
|
0.01393
|
0.02411
|
Relative humidity , RH
|
70.4457
|
-0.3128
|
0.06129
|
0.00376
|
0.24276
|
Surface pressure, P
|
-6,706.8905
|
6.6923
|
0.41012
|
0.16820
|
0.00000
|
Agro-ecological zone seven, CPZ
|
Temperature, T
|
948.9186
|
-3.0068
|
0.12607
|
0.01589
|
0.01596
|
Relative humidity , RH
|
29.0441
|
0.2193
|
0.06176
|
0.00381
|
0.23922
|
Surface pressure, P
|
-5,820.2431
|
5.8132
|
0.32643
|
0.10655
|
0.00000
|
Table 5. Values in univariate linear regression analysis in 06 zone in the MDR of CO3 = F(T), CO3 = F(RH) và CO3 = F(P)
3.3 Impacts of precursor emission factors
The indicators for O3 concentration were CO3, and y2,j; CH4 precursor emissions were ECH4, x1; CO was ECO, x2; NOx was ENOx, x3; NMVOCs were ENMVOCs, x4; other VOCs were EO ther-VOCs, x5. The results of the multivariable regression equations CO3=F (ECH4, ECO, ENOx, ENMVOCs, and E Other-VOCs) (Table 6), show the multivariable correlation of precursor emissions (x1, x2, x3, x4, and x5) and the value of O3 concentration in the six zones of the Mekong Delta (y2,j) has the form of (26)– (31), as follows:
Table 6. Multivariable correlation equation CO3 = F (ECH4, ECO, ENOx, ENMVOCs , EOther-VOCs)

Table 6. Multivariable correlation equation CO3 = F (ECH4, ECO, ENOx, ENMVOCs , EOther-VOCs)
From the equations in Table 6, common correlation coefficient in the six partitioned zones have the values of R1=0.27185, R2=0.54097, R3=0.35830, R4=0.27282, R5= 0.38376, and R6=0.25777, respectively. O3 concentration values in zones two (PRZ), three (LXZ), five (TBZ) and six(CZ) tended to increase for every 1 unit (1 kg/day); the emissions of CH4 or NOx or NMVOCs or Other VOCs increased (when the remaining 04 precursors remained unchanged). Specifically, the O3 concentration for ECH4 increased by 0.7155 µg/m3, 0.2874 µg/m3, 0.0580 µg/m3, and 0.0707 µg/m3 respectively; the O3 concentration for ENOx increased by 15.7726 µg/m3, 4.2370 µg/m3, 0.8504 µg/m3, and 0.5965 µg/m3 respectively. The O3 concentrations for ENMVOCs increased by 0.1063 µg/m3, 0.0181 µg/m3, 0.0086 µg/m3, and 0.0235 µg/m3 respectively; the O3 concentrations for EOther-VOCs, increased by 9,1465 µg/m3, 4.0573 µg/m3, 0.4920 µg/m3, and 0.5515 µg/m3, respectively. In contrast, the O3 concentration in these four zones tended to decrease for every 1 unit (1 kg/day) of CO emissions increased (when the remaining four precursors remained unchanged); specifically, the O3 concentration for ECO decreased by 0.7555 µg/m3, 0.2472 µg/m3, 0.0504 µg/m3, and 0.0520 µg/m3, respectively. Meanwhile, the O3 concentration in zone one (FAZ) tended to increase for every 1 unit (1 kg/day) of CH4 or Other VOCs emissions increase (when the remaining four precursors were unchanged), were 0.0030 µg/m3 and 0.1689 µg/m3, respectively, which = was opposite to the change in emissions of CO, NOx, or NMVOCs (when the remaining four precursors are unchanged), the O3 concentration decreased by 0.0010 µg/m3, 0.0214 µg/m3, and 0.0008 µg/m3, respectively. The O3 concentration in zone seven (CPZ) tended to increase for every 1 unit (1 kg/day) of CH4 or NMVOCs, or Other VOCs emissions increases (when the remaining four precursors were unchanged), were 0.0290 µg/m3, 0.0028 µg/m3, and 1.4978 µg/m3, respectively. This was opposite to the change in emissions of CO or NOx (when the remaining four precursors were unchanged), the O3 concentration decreased by 0.0143 µg/m3 and 0.0246 µg/m3, respectively.
Thus, the precursors CH4, NOx, NMVOCs, and Other VOCs all contributed to the increase in O3 concentrations in the PRZ, LXZ, TBZ, and CZ zones. Meanwhile, CH4 and Other VOCs reflect the impact of increasing O3 concentrations in only two areas, FAZ and CPZ. However, CO is the main factor reflecting the level of impact on reducing O3 concentrations in the Mekong Delta, depending on certain geographical areas.
Based on the results of univariate analysis of each type of precursor emission, the correlation coefficient (R) of ECH4, ECO, and ENOx was highest in zone two (PRZ) with explanatory levels of approximately 1.06%, 1.13%, and 1.20%, respectively, while the R of ENMVOCs and EOther-VOCs was highest in zone seven (CPZ) with explanatory levels of approximately 1.10% and 0.28%, respectively. The results of multivariate regression calculated at p-value showed that: (1) zone one (FAZ) where ECH4 and E Other-VOCs were statistically significant (p-value < 0.05); (2) zone two (PRZ), all ECH4, ECO, ENOx, ENMVOCs, and EOther-VOCs were statistically significant; (3) zone 3 (LXZ), where ECH4, ECO, and ENOx were statistically significant; (4) zone five (TBZ), where ECH4, ECO, ENOx, and ENMVOCs were statistically significant; (5) zone six CZ where ECH4, ECO, and ENMVOCs were statistically significant; and (6) zone seven (CPZ), where only EOther-VOCs were statistically significant. Thus, in the six zones in the MDR, emissions of precursors ECH4, ECO, ENOx, and ENMVOCs were independent factors that affect the O3 concentration in these six zones. Meanwhile, Other-VOCs precursor emissions had little or no influence on the O3 concentrations in each zone of the MDR (Table 7)
Table 7. Synthesis of values in univariate linear regression analysis in 06 areas in the Mekong Delta of CO3 = F(ECH4), CO3 = F(ECO), CO3 = F(ENOx), CO3 = F(ENMVOCs) và CO3 = F(EOther-VOCs)
Factors
|
α
|
β
|
R
|
R2
|
p-value
|
Agro-ecological zone one, FAZ
|
ECH4
|
44.05661
|
-0.00002
|
0.03943
|
0.00155
|
0.45267
|
ECO
|
45.13400
|
-0.00001
|
0.04738
|
0.00224
|
0.36677
|
ENOx
|
48.28175
|
-0.00072
|
0.06223
|
0.00387
|
0.23562
|
ENMVOCs
|
46.85881
|
-0.00011
|
0.03381
|
0.00114
|
0.51962
|
EOther-VOCs
|
28.80561
|
0.00859
|
0.01455
|
0.00021
|
0.78177
|
Agro-ecological zone two, PRZ
|
ECH4
|
44.63183
|
-0.00016
|
0.10313
|
0.01064
|
0.04897
|
ECO
|
45.21684
|
-0.00008
|
0.10614
|
0.01127
|
0.04270
|
ENOx
|
45.59218
|
-0.00354
|
0.10963
|
0.01202
|
0.03629
|
ENMVOCs
|
45.70085
|
-0.00045
|
0.06037
|
0.00364
|
0.24994
|
EOther-VOCs
|
27.64205
|
0.29087
|
0.01741
|
0.00030
|
0.74023
|
Agro-ecological zone three, LXZ
|
ECH4
|
42.91945
|
0.00027
|
0.04816
|
0.00232
|
0.35886
|
ECO
|
42.77637
|
0.00012
|
0.04382
|
0.00192
|
0.40387
|
ENOx
|
42.71862
|
0.00500
|
0.04275
|
0.00183
|
0.41552
|
ENMVOCs
|
46.66667
|
-0.00070
|
0.02875
|
0.00083
|
0.58405
|
EOther-VOCs
|
68.13774
|
-0.99878
|
0.02694
|
0.00073
|
0.60789
|
Agro-ecological zone five, TBZ
|
ECH4
|
41.36059
|
0.00010
|
0.04663
|
0.00217
|
0.37439
|
ECO
|
41.10480
|
0.00004
|
0.04162
|
0.00173
|
0.42793
|
ENOx
|
41.07626
|
0.00162
|
0.03834
|
0.00147
|
0.46529
|
ENMVOCs
|
39.56914
|
0.00044
|
0.03403
|
0.00116
|
0.51697
|
EOther-VOCs
|
-4.65496
|
0.35598
|
0.03781
|
0.00143
|
0.47149
|
Agro-ecological zone six, CZ
|
ECH4
|
47.21390
|
-0.00007
|
0.03172
|
0.00101
|
0.54578
|
ECO
|
47.71331
|
-0.00004
|
0.03653
|
0.00133
|
0.48655
|
ENOx
|
48.28819
|
-0.00199
|
0.04293
|
0.00184
|
0.41352
|
ENMVOCs
|
43.43907
|
0.00039
|
0.02206
|
0.00049
|
0.67440
|
EOther-VOCs
|
-3.41572
|
0.44490
|
0.03716
|
0.00138
|
0.47909
|
Agro-ecological zone seven, CPZ
|
ECH4
|
44.13394
|
0.00016
|
0.05080
|
0.00258
|
0.33314
|
ECO
|
43.74877
|
0.00007
|
0.04686
|
0.00220
|
0.37203
|
ENOx
|
44.40019
|
0.00128
|
0.02032
|
0.00041
|
0.69882
|
ENMVOCs
|
30.86259
|
0.00198
|
0.10508
|
0.01104
|
0.04483
|
EOther-VOCs
|
-22.89717
|
0.55705
|
0.05261
|
0.00277
|
0.31619
|
Table 7. Synthesis of values in univariate linear regression analysis in 06 zones in the MDR of CO3=F(ECH4), CO3=F(ECO), CO3=F(ENOx), CO3=F(ENMVOCs) and CO3=F(EOther-VOCs)
3.4 Synthetic impacts of precursor emission and meteorological factors
A multivariable experimental linear regression model was built to evaluate the overall relationship between O3 concentration (CO3, y3,j) and meteorological factors, including temperature value x1 (T, oK), relative humidity x2 (RH, %), surface pressure x3 (P, Pa), and the types of CH4 precursor emissions were ECH4, x4; CO was ECO, x5; NOx was ENOx, x6; NMVOCs were ENMVOCs, x7; and Other VOCs were EOther-VOCs, x8. This result is shown in Table 8, along with (32) – (37).
Table 8. Multivariable correlation equation CO3 = F (T, RH, P, ECH4, ECO, ENOx, ENMVOCs , EOther-VOCs)
Table 8. Multivariable correlation equation CO3 = F (T, RH, P, ECH4, ECO, ENOx, ENMVOCs , EOther-VOCs)

Table 8 shows that the common correlation coefficients at six partitioned zones were R1=0.47549, R2=0.61360, R3=0.53909, R4=0.46066, R5=0.47874 and R6=0.42218, respectively. For zone one (FAZ), the factors of RH, P, and the emissions of ENOx, ENMVOCs and EOther-VOCs affect the distribution of O3 concentration in the zone; for zone two (PRZ), these are P, emissions of ECH4, ECO, ENOx, ENMVOCs and EOther-VOCs. For zone three (LXZ), P, ECH4, ECO, ENOx, and ENMVOCs emissions; (4) for zone five (TBZ), P, emissions ECH4, ECO, and ENOx; for zone six (CZ), P, emissions ECH4, ECO, ENOx, and ENMVOCs. Finally, in zone 7 (CPZ), the RH and P were the main independent factors with a major predictive significance for the individual O3 concentration value for the six zones partitioned in MDR.
3.5 Uncertainty analysis
These limitations could lead to uncertainty in the research results and create errors in the simulation evaluation of ground-level O3 concentration distribution. This could be explained in detail, first, by the limitation in the ground-level O3 concentration monitoring data and the field data measured at meteorological observation stations in the MDR. For ground-level O3 concentration measurement data in the entire MDR, there was no monitoring station to measure the ground-level O3 concentration (it only monitored some basic pollution indicators, such as TSP, SO2, NOx, CO, and PM10). The dataset in this study was collected from monitoring stations in the vicinity of Binh Duong Province, which was also an area within simulation domain D02 covering the entire study area. The ground-level O3 concentration measurement dataset was created by the observation method, which was performed manually, and measured only four times at 9:00, 11:00, 13:00, and 15:00 on an important day unique monitoring at each station from January, 2018, to December, 2018.
Second, the contribution of the emission of two main precursors of NOx and NMVOCs in each group of industries/activities was different among zones in the Mekong Delta, especially in zones one (FAZ), two (PRZ), five (TBZ), six (CZ), and seven (CPZ), with a of 520–1,530 thousand hectares compared to zone three (LXZ), and zone four (HMZ) with an area of only 95–225 thousand hectares. Significant differences in socio-economic activities, management levels of each locality, and the difference in soil problems by geographical zone (between freshwater alluvial soils and acid and saline soils) led to an assessment of six zones (not considering the four HMZ zones), which may not fully reflect the level of detail according to the administrative management level in each zone. Moreover, the 2018 emission inventory dataset built for the entire region (range of calculation D02) had a low resolution and a relatively large grid size (approximately 9.5 km) and natural emissions from forest fires in zones five (TBZ) and seven (CPZ) were not considered due to lack of detailed inventory data during the simulation.
Third, the correlations were limited to evaluation in the form of a multivariable linear function between O3 concentration and meteorological factors; the main precursor emissions were NOx and NMVOCs. In this study, correlation of some forms of VOC precursor components according to the chemical mechanism of the CMAQ model was not performed. Moreover, the three selected meteorological factors, including temperature, relative air humidity, and surface pressure, cannot fully account for the impact of meteorology on the formation of O3. As a result, the correlation level is not high enough (R only reaches a maximum of 0.61 in the two LXZ areas).
Fourth, in the MLR multivariable linear function models between total ground-level O3 concentration and meteorological factors combined with emission precursors, the interaction between variables (combination of quadratic or ternary variables) increased the confidence level of the analytical model.