3.1 Principal component analysis
In winter, three PCs (eigenvalues > 1) account for 72.15% of the variance. PC 1 (explained variance = 30.8%) has a strong positive relationship with CLOUD, U and RH; and a moderate positive association with TEMP (table 1a). A westerly wind (U > 0) in winter brings warmer but cloudier air. Days with high positive PC 1 scores have strong westerly winds, high cloud cover and high RH, whereas high negative PC 1 score days have an easterly flow. PC 1 is thus a zonal wind component. PC 2 (explained variance = 21.8%) groups together MSLP and Log10RAIN, which have a strong inverse relationship, as wetter conditions are associated with lower pressure.
Table 1 Principal component loadings for (a) winter and (b) summer
(a)
|
PC 1
|
PC 2
|
PC 3
|
MSLP
|
-0.04
|
-0.93
|
0.04
|
TEMP
|
0.53
|
-0.03
|
0.73
|
U
|
0.74
|
0.14
|
0.09
|
V
|
0.27
|
-0.14
|
-0.85
|
RH
|
0.67
|
0.18
|
-0.18
|
CLOUD
|
0.81
|
0.08
|
0.05
|
Log10RAIN
|
0.39
|
0.76
|
0.26
|
(b)
|
PC 1
|
PC 2
|
MSLP
|
-0.71
|
0.25
|
TEMP
|
-0.28
|
0.73
|
U
|
0.51
|
0.51
|
V
|
0.19
|
0.64
|
RH
|
0.86
|
0.10
|
CLOUD
|
0.79
|
-0.06
|
Log10RAIN
|
0.83
|
-0.03
|
There are only two significant PCs (eigenvalues > 1) in summer, which collectively explain 60.2% of the variance. PC 1 (explained variance = 41.9%) has a strong positive association with RH, Log10RAIN and CLOUD; and a negative relationship with MSLP and TEMP (table 1b). PC 1 describes the two dominant weather conditions experienced during the summer: cool and wet with low pressure, or warm and dry with high pressure. PC 2 (explained variance = 18.3%) has a moderately strong relationship with TEMP and V, and a moderate positive association with U. PC 2 captures the co-variability between south-westerly (U > 0 and V > 0) winds and warmer temperatures.
3.2 Winter air mass types
The properties of the six air mass types are now described by identifying the common features of the surface synoptic charts on a sample of days in each cluster (figure 4 and table 2).
Table 2 Arithmetic means of the meteorological variables for the six winter air mass types for Glasgow from January 2005 to December 2020
Air mass type
|
Number of days
|
TEMP (°C)
|
MSLP
(hPa)
|
U
(Knots)
|
V
(Knots)
|
RH
(%)
|
CLOUD
(Oktas)
|
RAIN
(mm)
|
1
|
298
|
7.4
|
1004.1
|
2.4
|
-2.1
|
89.5
|
7.0
|
11.3
|
2
|
159
|
4.2
|
992.6
|
0.5
|
-2.8
|
86.3
|
5.8
|
9.2
|
3
|
200
|
3.5
|
1016.0
|
-1.5
|
-2.3
|
80.0
|
3.5
|
0.8
|
4
|
325
|
3.7
|
1008.0
|
1.4
|
1.0
|
92.2
|
7.1
|
5.0
|
5
|
237
|
0.9
|
1016.1
|
-0.2
|
0.8
|
85.2
|
4.8
|
0.3
|
6
|
124
|
7.7
|
1027.9
|
1.4
|
-2.4
|
88.4
|
7.1
|
0.2
|
Type 1: Returning Polar Maritime
The source region of this air mass type is Greenland and Canada. Despite its cold source, this air mass is the second warmest because there is a mild south-westerly wind immediately upwind of Britain. The long oceanic fetch means that this is the wettest air mass type.
Type 2: Arctic Maritime
This air mass originates from the North Pole and the Arctic Ocean. Its shorter passage over the sea results in cooler conditions than the polar maritime type. This air mass has the lowest mean pressure and so produces high levels of precipitation, with snow and hail showers common over northern Scotland.
Type 3: Polar Continental
This air mass originates from Eastern Europe and Russia. It is cold and dry. Thermal and moisture properties vary depending on the length of its sea passage. It tends to be associated with relatively high pressure.
Type 4: Tropical Maritime
This is the most commonly occurring air mass type. It originates around the Azores, with south-westerly winds bringing mild and moist air to Scotland. Overcast and drizzly conditions are common, especially near western coasts. This air mass type brings moderate amounts of rainfall.
Type 5: Continental
This is the coldest air mass type (mean temperature = 0.9oC). The source region is eastern Europe and Russia. This air mass type tends to be cooler than polar continental (type three) because the path is largely over cold Continental Europe. Its short sea track over the southern North Sea means that little warming takes place.
Type 6: Stable Anticyclonic Westerly
This air mass has the highest mean pressure of the six clusters. High pressure centred to the south-west of Ireland results in mainly dry conditions. The west to northwesterly flow around the northern periphery of the high brings in air from the Atlantic resulting in mild conditions.
3.3 Summer air mass types
The mean properties of the six air mass types are given in table 3.
Table 3 Arithmetic means of the meteorological variables for the summer winter air mass types for Glasgow from 2005 to 2020
Air mass type
|
Number of days
|
TEMP (°C)
|
MSLP
(hPa)
|
U
(Knots)
|
V
(Knots)
|
RH
(%)
|
CLOUD
(Oktas)
|
RAIN
(mm)
|
1
|
374
|
13.9
|
1007.1
|
1.6
|
0.2
|
89.6
|
7.1
|
9.1
|
2
|
319
|
13.1
|
1009.4
|
-0.1
|
-2.2
|
82.9
|
6.4
|
3.3
|
3
|
244
|
14.7
|
1016.8
|
0.7
|
-0.4
|
79.5
|
5.6
|
0.7
|
4
|
274
|
13.2
|
1016.1
|
-1.5
|
-2.7
|
74.5
|
4.3
|
0.2
|
5
|
156
|
16.5
|
1016.6
|
1.4
|
1.2
|
80.4
|
5.5
|
0.8
|
6
|
75
|
18.2
|
1023.9
|
-0.1
|
0.5
|
71.5
|
1.9
|
0.0
|
Type 1: Tropical Maritime
The most commonly occurring summer air mass type brings south-westerly winds from the Atlantic Ocean (figure 5). Frequent frontal depressions result in this being the wettest air mass type by a long way. The moderating effect of the ocean also results in relatively cool conditions.
Type 2: Arctic Maritime
This is the coldest air mass type (mean temperature = 13.1oC) because its source region is the Arctic Ocean. Despite being the second wettest air mass type, the shorter sea track and lower temperatures mean that the arctic maritime air mass is much drier than the tropical maritime air mass.
Type 3: Returning Polar Maritime
This air mass originates from Northern Canada and Greenland. Due to its longer sea track over the North Atlantic, it is warmer than the Arctic Maritime air mass by an average of 1.6oC. This cluster is relatively dry, with a mean daily rainfall total of 0.7mm.
Type 4: Polar Continental
This air mass usually originates from Scandinavia and has a comparable mean temperature to the Arctic Maritime air mass. This cluster leads to dry conditions, with a mean precipitation total of only 0.2mm.
Type 5: Stable Anticyclonic Tropical
High pressure centred over Britain or northern France leads to gentle westerly winds This air mass has relatively high cloud cover (mean = 5.5 oktas) but is usually dry (mean daily rainfall = 0.8mm).
Type 6: Tropical Continental
High pressure centred to the east of Great Britain leads to a south-easterly wind importing hot and dry air from Continental Europe or even North Africa. This is by far the warmest air mass. It also has a lower cloud cover, relative humidity and rainfall than the other five clusters. It is the least common cluster occurring on only 75 out of 1442 days.
3.4 Variability in pollutant concentration with air mass type
The F ratios for both winter and summer are all greater than one signifying that there is more variance between than within the airmass types. During the winter, the pollutants at Glasgow Centre and Glasgow Townhead all show statistically significant differences between air mass types at the 99.9% confidence level (table 4). In summer, some of the differences are only significant at the 0.05 level. This seasonal difference is most apparent for NO2 at Glasgow Centre, where the winter and summer F ratios are 81.12 and 3.07 respectively.
Table 4: Results of the one-way analysis of variance (ANOVA) to compare pollutant concentrations between air mass types. The logarithm to the base ten of the pollutant concentration was used for the ANOVA.
Station
|
Pollutant
|
Winter F
|
Winter p
|
Summer F
|
Summer p
|
Glasgow Centre
|
O₃
|
87.97
|
<0.001
|
11.64
|
<0.001
|
|
PM10
|
18.26
|
<0.001
|
31.88
|
<0.001
|
|
NOx
|
66.99
|
<0.001
|
2.38
|
0.037
|
|
NO2
|
81.12
|
<0.001
|
3.07
|
0.009
|
|
CO
|
33.42
|
<0.001
|
3.12
|
0.009
|
Glasgow Townhead
|
|
|
|
|
|
|
O₃
|
81.81
|
<0.001
|
21.78
|
<0.001
|
|
PM10
|
18.15
|
<0.001
|
38.23
|
<0.001
|
|
NOx
|
59.25
|
<0.001
|
2.97
|
0.012
|
|
NO2
|
54.48
|
<0.001
|
3.26
|
0.006
|
The differences between the air mass types are displayed visually in figure 6. In winter, air mass type five (continental) has the highest average concentrations for all pollutants apart from O3. During the summer, concentrations tend to be lower, with the differences between the clusters being less pronounced. However, air mass type six (tropical continental) tends to have slightly higher concentrations.
The results of the post hoc Tukey tests are presented in the difference matrices (figures 7 and 8). The presence of a pollutant in a grid square indicates that there is a statistically significant difference in concentrations between those two air mass types at the 0.05 level.
The pollutant that appears most frequently in the winter matrix for Glasgow Centre (figure 7a) is NOx, which is significant in 13 out of 15 pairwise comparisons. At Glasgow Townhead (figure 7b), O3 appeared most frequently (12 out of 15). Considering both sites, NOx has the greatest number of statistically significant differences between pairs of air masses (24) followed closely by NO2 and O3 (both 23). The variation in NO2 and NOx can be clearly seen in figure 6. During the winter, PM10 has the lowest number of statistically significant differences (Glasgow Centre = 7; Townhead = 8). Air mass type five (continental) has the largest number of significant differences with other air mass types for both Glasgow Centre (22 entries) and Townhead (16 entries). Air mass type three (polar continental) has the lowest number of entries (15) at Glasgow Centre. For Townhead, air mass types four (tropical maritime) and six (stable anticyclonic westerly) both have the fewest number of entries (12).
There are fewer significant differences between pairs of air masses in summer compared to winter. In summer, PM10 has the largest number of statistically significant pairs (11) at Glasgow Centre (figure 8a). At Townhead (figure 8b), PM10 and O3 both have the largest number (9). There are far more significant pairs for NO2 and NOx combined at Centre (8) than Townhead (1). CO only appears once in the Centre matrix. Air mass type six (tropical continental) has the largest number of significant differences at both Centre (15) and Townhead (9) stations. Arctic Maritime (air mass type number 2) shows the smallest number of significant differences with other air mass types (7) at Glasgow Central; arctic maritime and polar continental (air type number 4) jointly have the smallest number of significant differences at Townhead.
3.5 Comparing the occurrence of days with extreme pollutant concentrations across air mass types
The thresholds for extreme pollution days are displayed in Table 5. The Chi-Square test was used to test the null hypothesis that the occurrence of high concentrations does not vary with the air mass type. For winter, the differences are all significant at the 99% confidence level (table 6). Chi-Square tests were not performed in the summer. This is because the lower frequency of days with high concentrations violated the 20% rule for expected counts. Therefore, exceedance of the thresholds is more likely in winter than in summer. O3 is an exception to this rule and exceeded the thresholds on six days in both seasons at Glasgow Centre and Townhead.
Table 5: Daily mean thresholds for exceptionally high, very high and high levels of pollutant concentration determined using standardised (Z) scores. All units are μgm-3.
Pollutant
|
Exceptionally High
Z score > 3
|
Very High
2 < Z Score ≤ 3
|
High
1.75 < Z Score ≤ 2
|
O3 Centre
|
X > 85
|
68 < X ≤ 85
|
64 < X ≤ 68
|
PM10 Centre
|
X >52
|
41 < X ≤ 52
|
39 < X ≤ 41
|
NOx Centre
|
X > 298
|
222 < X ≤ 298
|
203 < X ≤ 222
|
NO2 Centre
|
X > 95
|
75 < X ≤ 95
|
70 < X ≤ 75
|
CO Centre
|
X > 0.74
|
0.58 < X ≤ 0.74
|
0.54 < X ≤ 0.58
|
O3 Townhead
|
X > 94
|
77 < X ≤ 94
|
72 < X ≤ 77
|
PM10 Townhead
|
X > 31
|
24 < X ≤ 31
|
23 < X ≤ 24
|
NOx Townhead
|
X > 163
|
121 < X ≤ 163
|
111 < X ≤ 121
|
NO2 Townhead
|
X > 64
|
51 < X ≤ 64
|
48 < X ≤ 51
|
Table 6: Chi-Square test results comparing the frequency of days with high concentrations in winter. Chi-Square tests were not performed for O3 because more than 20% of the cells have expected frequencies of less than five.
Station
|
Pollutant
|
χ2
|
p
|
|
O3
|
-
|
-
|
|
PM10
|
16.3
|
<0.001
|
Glasgow
|
NOx
|
67.4
|
<0.001
|
Centre
|
NO2
|
33.2
|
<0.001
|
|
CO
|
37.9
|
<0.001
|
|
O3
|
-
|
-
|
Glasgow
|
PM10
|
17.8
|
0.001
|
Townhead
|
NOx
|
27.6
|
<0.001
|
|
NO2
|
62.5
|
<0.001
|
The World Health Organisation’s (WHO) recommended guideline (2021) for daily mean NO2 is 25μgm-3. This was exceeded on 479 and 391 days at Glasgow Centre and Townhead respectively in the winter compared to only 77 and 10 days during the summer. For PM10, the guideline is 45μgm-3. This was exceeded on 73 and five days at Centre and Townhead respectively during the summer. For winter PM10, 32 and four PM10 breaches occurred at Centre and Townhead respectively. Across the 15 years, the WHO’s O3 guideline was exceeded twice during the summer but never in the winter.
During the winter, the largest number of extreme days (‘high’, ‘very high’ and ‘exceptionally high’ days combined) occurred under air mass type five (figure 9ab), which is continental. This is particularly the case at Glasgow Centre. The pollutant with the greatest number of extreme days under this air mass type was CO at Glasgow Centre (46) and NO2 at Townhead (38). Summer had very few extreme days, with only O3 and PM10 reaching the ‘high’ threshold at both sites (figure 9cd). These extreme summer days occurred during polar maritime, stable anticyclonic tropical and tropical continental air mass types.
3.6 Air mass persistence and pollutant concentrations
As poor air quality in winter is disproportionately caused by air mass type five (continental), it is instructive to assess whether pollutant concentrations are related to the duration of this air mass. In other words, are concentrations higher on a continental day when it is preceded by one or more days with the same air mass type? One-way independent samples analysis of variance yielded highly insignificant results across all pollutants at both sites (p > 0.5). All F ratios were less than one. For instance, mean NO2 concentrations vary only slightly with sequence length. At Glasgow Centre, the inter-quartile range is relatively stable, with median values between 50 and 70µgm-3 regardless of the persistence of the air mass.