Aerobiologia 15: 115–120, 1999.
© 1999 Kluwer Academic Publishers. Printed in the Netherlands.
115
An indoor air model
Paul Comtois∗ and Nancy Marcoux
Laboratoire d’aérobiologie, département de géographie, Université de Montréal, CP 6128, Montréal, H3C 3J7,
Canada
(∗ author for correspondence, e-mail: comtoisp@ere.umontreal.ca; fax: +1 514 3438008)
Received 21 August 1998; accepted in final form 11 January 1999
Key words: aerobiology, building, contamination, dispersal, fungal spores, HVAC systems, indoor air quality,
model
Abstract
Indoor aerobiological data sets are often difficult to handle because they are not easily related to climatic parameters similar to those found outdoors. However, in large buildings, where ventilation systems allow a systematic
knowledge of air flows, the transfer of a power distribution model to airborne spore concentration can simplify the
task of reaching a decision on contamination presence. The use of the absorption percentage of each component
of the ventilation system (air intake, filters, cooling, humidification, air return) can identify abnormalities (i.e.
concentrations not following the general expected model, which could mean contamination requiring action),
permit direct cleaning, and allow the restoration of a normal state after a short period of time.
. . . If you would not bring infection and diseases upon
yourselves, change the air you breathe, change it many times
in a day by opening the windows.
Erasmus Darwin
1. Introduction
Indoor air quality has recently been a very active field
of research. Abundant information is now becoming
available to the scientist and the general public on its
main causes and consequences. It is not, however, a
recent problem. From the neolithic period through the
middle ages, men were confronted with indoor pollution, merely due to heating and cooking in enclosed
areas. It is with the erection of chimneys in residential
areas that this problem was transfered to the outdoors.
For most people, and up to the end of the
XIXth century, indoor air quality and diseases were
often linked (Brimblecome, 1987). This was largely
forgotten with the generalized use of electricity and
natural gas, and pollution became an outdoor problem.
In the 1970’s, however, the energy crisis and “tighter”,
more efficient, buildings have shifted our concerns
about pollutants back to indoors, where problems
can surpass those caused by outdoor pollution. This
phenomena is highly visible in indoor microbial
contamination (Kay et al., 1991). But, it is much more
difficult to set up exposure guidelines for airborne
biological contamination – which are, and will always
be, part of the human atmospheric environment – than
for man-made chemical pollutants.
The aerobiology sampling protocol was recently
standardized with a view to adequately compare
different sites (Macher et al., 1995). As a result, we
have reached a stage where we can gain a certain
control over these problems. But there are still difficulties in making accurate assessments in complex
situations where gross contamination is not present.
The question that remains to be answered is whether
modelisation of indoor fungal spores and CFUs in
building ventilation systems can help to identify
“abnormalities” in biological concentrations in such a
way that precise interventions could be planned.
2. Rationale
Many models have been proposed for the dispersal
of outdoor pathogens. However, there are important
116
differences between the outdoor and indoor situations.
In the former, most parameters that have an effect on
the aerobiological pathway are known (e.g. temperature, precipitation, wind speed, etc.). For we have
a “moving box” of air that collects, then dilutes
concentrations; and we reach very quickly a homogeneous situation. These concentrations will of course
be site to site and season to season specific, but
for a given place and period, they will be a recognizable pattern. Indoors, by contrast, we have an
immobile “black box” where air travels, according
to external influences and accumulates contamination
of anthropic origin, thus creating heterogeneous situations. Indoors, it is almost like a Maxwellian model
of aerobiology, where trapdoors are open or closed to
contamination.
Therefore, the aerobiological analysis of domestic
interiors requires a lot of data and, as a result, need
careful understanding of the spatial and temporal
framing of samplings. However, the situation is totally
different in mechanically ventilated rooms. Indeed,
a ventilation system acts like a bottleneck where all
available air to the rooms has to move in a relatively
short period of time. This, however, generates another
problem. Since there is always an outdoor component,
and since local contamination is not always negligible,
what type of methodology should be used to determine
contamination presence? Do we apply a threshold
rule (v.g. 1000 CFU/m3 ) (Morey et al., 1984)? Do
we specify an indoor/outdoor ratio (v.g. 1/3) (Brooks
and Davis, 1992)? Do we consider the correlation of
species presence indoors and outdoors? (see Rao and
Burge, 1996 for a review).
This paper proposes a model that reduces large
tables of airborne spore data to simple indices, thus
allowing the objective discernment of contamination
presence.
mm Petri dishes, one containing 35 ml of a Sabouraud
medium (peptone, glucose, agar), the other 35 ml of a
malt 2% medium (malt extract, peptone, agar). Sample
exposure times varied from 3 to 4 minutes and were
taken while the ventilation systems were in operation.
Flow rates (which are fixed on these instruments) were
checked before and after each set of samples were
taken (i.e. after 20 minutes of operation).
In each system, samples were taken at five different
sites (Figure 1): at the fresh air intake (1); after the
filters (2); after the humidifier (of the water jet type)
(3); after the coils (4); and in the air return ducts
from the rooms (5). From a total of 110 sites, 440
samples were taken. All samples were taken during the
same week (October 29th to November 2nd), between
10:00 AM and 15:00 PM. In this period, mean air
temperature was 5.02 ◦ C and mean relative humidity
level was of 80.8%. Therefore, humidification was
not needed and 100% fresh air was admitted. Outdoor
“control” air was sampled twice on each day, at ground
level, near the entrance of the building, on the same
side of the building as the fresh air intake.
4. The model
From outdoors to the rooms, we hypothesize the
following behavior of spores concentration: a sharp
decline after the filters, a small increase either after
humidification or after cooling, or both (due to
microbial contamination associated with high moisture levels), and another decline in the rooms (because
of mixing with “uncontaminated” air).
In order to locate abnormalities from this simple
model (in fact, an inverted exponential distribution,
characteristic of a constant death rate), we can calculate the efficiency of any part of the system as:
Efficiency (“E”):
3. Sampling
All 22 ventilation systems of a 9 story building of an
university campus in Montréal were sampled exhaustively and systematically in fall 1990. Samples of total
spores were taken, in pair, with Burkard personal
samplers (Burkard Manufacturing, Inc., Rickmansworth, U.K.) at a flow rate of 11 litres of air/minute
on a gelatine (30%)/glycerine (70%) coated 75 × 25
mm microscopic slide. Samples of viable spores were
taken, in pair, with Burkard portable air samplers for
agar plates, drawing 15 litres of air/minute on 100
exhaust − supply
return − supply
v.g. for the filters, “EF”: (site 2 − site 1)/(site 5 −
site 1).
However, the application of this simple index to
our data set has generated a lot of negative values.
This error is the result of using a closed system model,
while, in reality, the sampled sites mimic an open
model, i.e. are influenced by the outdoor air. Indeed,
the value of the numerator (site 2 − site 1) for filters
was expected to be negative by our model (see also
Figure 2 in the results). At this point, we decided to
use only the output of each component (yield or “Y”)
117
Figure 1. Diagram of air flux in each ventilation system and localisation of sampling sites.
and to integer all the elements for each system (for
filters, “FY”: site 1/site 2,; for humidifier, “HY”: site
3/site 2; and for cooling, “CY”: site 4/site 2).
Since our system is partially serial and partially
parallel (graphically Y shaped, see Figure 1), we apply
to the rooms the power distribution model of electrical
circuits1 , so that:
(CFUs) on Sabouraud and on Malt, and total spores
respectively. Mean concentration outdoors was 140
CFU/m3 or 1120 spores/m3. Indoor, we found 100
CFU/m3 or 1830 spores/m3. There was no statistical
difference between the use of the Sabouraud or the
Malt medium, the mean difference was 11 CFU/m3
(Kendall Tau of 0.333; p of 0.034).
Room yield or “RY” : (site 5/site 1)/(FY∗(HY + CY)).
Yield (“Y”) can also be expressed as the capability of
absorbing the external contamination, i.e.
Absorption (“A”) : (1 − Y)∗100,
which will be expressed as percentages.
5. Results
Overall, 67 different taxa were identified indoors and
23 outdoors. This difference can be related to the
number of sites sampled: the ratio species/sites being
respectively of 3.04 and 3.83.
Species composition will not be discussed here,
but it can be said that, as expected for fall outdoors
samples, Cladosporium dominates total spores (60%)
and CFUs (71%). The other genera, in rank order,
include: Penicillium spp., Aspergillus spp., and Alternaria spp. Indoors, Cladosporium spp. dominate the
viable recoveries, but Cladosporium spore counts were
similar to those of the Aspergillus/Penicillium type.
Results from each of the ventilation systems are
presented in Tables 1, 2 and 3, showing viable units
6. Discussion
The average situation found in the systems corresponds exactly to the general behavior hypothesized
in our model: an inverted exponential distribution
(Figure 2). From a statistical point of view, only the
presence of filters (between sites 1 and 2) is significant
(t: 2.56; p: 0.007). While the net contribution of the
humidifier site (the 2/3 ratio) or cooling site (the 3/4
ratio) were generally positive, they were not significant (−0.26 > t > −0.81; 0.60 < p < 0.79). Of course,
operating humidifier or cooling systems could totally
change this result.
Mean absorption for the studied systems was 67%,
which is exactly what the theory was predicting for
a “normal” behavior (i.e. 66%, or an indoor/outdoor
ratio of 1/3). Our model seems, therefore, to
adequately represent the airborne situation of fungal
spores, even if sampling was limited to specific (but
systematic) sites.
The use of our absorbtion coefficient (“A”) (Table
4) allows the visualisation of the situation at each
system. It can also be seen from this table that
room absorption was well correlated with the average
118
Figure 2. Mean frequencies distribution of airborne colonies forming units (CFU) in the studied ventilation system components (see Figure 1).
absorption level of each system (Figure 3) (Pearson’s
r of 0.987, p of 0.0001).
Moreover, there was a large agreement between
a low indoor/outdoor ratio and a high absorption
percentage (Pearson’s r of 0.91). All negative “A”
correspond to an indoor/outdoor ratio <1. The net
advantage of our model upon a simple indoor/outdoor
ratio is that it allows the precise localisation of the
contamination. It is, therefore, a significant addition to the indoor/outdoor comparison (which is still
necessary).
Possible individual absorption percentage range
from 17% (#C4) to 99% (#C3). However, two
systems (B2 and C5) present negative absorption.
This suggests that these systems disperse more fungal
particles than they receive from the outside. We therefore recommended that these two systems be cleaned.
After cleaning, the 2 systems presenting an
abnormal behavior were re-sampled (after 3 months,
i.e. February 1991) with the same methodology. This
second sampling showed that the situation has again
become normal, with a mean indoor/outdoor ratio of
37% (instead of −3034%), or a mean decrease of
concentrations of 96%.
7. Conclusion
The use of a simple index of absorption has allowed
us to handle a large data set of airborne spores and
119
Figure 3. Simple Linear Regression model between room and ventilation system absorption levels.
Table 1. Fungal colonies forming units (CFU) concentrations
per cubic meter of air on Sabouraud media, at each site (see
Figure 1) of each 22 ventilation systems.
Table 2. Fungal colonies forming units (CFU) concentrations
per cubic meter of air on Malt media, at each site (see Figure 1)
of each 22 ventilation systems.
Systems
CFU/m3
Site 1 Site 2 Site 3 Site 4 Site 5 Mean[ ] St. dev.
Systems
CFU/m3
Site 1 Site 2 Site 3
Site 4 Site 5 Mean[ ]
St. dev.
A1
A2
A3
A4
A5
A9
B1
B2
B3
B4
B7
B8
B9
B10
C1
C2
C3
C4
C5
C6
C7
C8
97
97
93
93
21
64
89
87
62
44
96
108
58
–
152
353
639
727
44
99
420
20
20
82
71
10
40
112
136
118
156
95
88
171
78
57
56
1
63
8
54
81
29
30
24
91
130
66
53
56
151
92
80
103
268
155
430
140
21
51
7
21
32
12
0
18
250
45
49
44
72
63
117
207
171
132
250
81
120
106
33
9
656
61
39
7
59
13
22
20
40
11
20
24
67
79
103
23
48
58
40
–
48
63
0
14
45
9
38
21
83
67
77
45
41
64
112
117
114
79
150
115
145
101
62
95
273
166
43
42
109
20
99
33
36
36
22
31
34
53
47
45
101
48
162
42
52
146
343
314
8
45
175
6
A1
A2
A3
A4
A5
A9
B1
B2
B3
B4
B7
B8
B9
B10
C1
C2
C3
C4
C5
C6
C7
C8
76
40
134
134
141
80
114
54
104
51
80
162
156
–
318
524
624
410
43
90
475
40
71
40
93
10
70
152
240
139
228
101
176
135
201
50
24
10
50
32
36
36
48
20
80
108
110
102
63
90
138
77
96
112
188
232
534
84
7
37
20
21
8
32
10
37
326
115
10
52
99
75
249
287
234
141
235
81
335
92
87
0
350
23
16
62
29
25
11
50
55
44
0
48
66
70
103
63
16
67
50
–
56
18
0
7
63
18
39
21
113
71
80
68
75
89
161
125
153
94
139
135
255
75
98
118
209
99
33
48
120
29
122
38
49
49
52
38
80
96
71
37
89
66
186
22
127
227
272
174
22
29
199
3
Mean[ ]
165
71
91
117
38
96
48
Mean[ ]
183
89
99
133
41
109
53
120
Table 3. Fungal spores concentrations per cubic meter of air at
each site (see Figure 1) of each 22 ventilation systems.
Systems
Spores/m3
Site 1 Site 2
Site 3 Site 4
A1
A2
A3
A4
A5
A9
B1
B2
B3
B4
B7
B8
B9
B10
C1
C2
C3
C4
C5
C6
C7
C8
1037
2991
2799
1352
2234
1227
879
157
912
345
1604
2360
1132
–
1417
1171
25638
23244
219
2297
8439
722
471
1038
1038
659
188
2201
1383
407
1384
1384
1824
533
1195
1354
407
723
282
283
313
439
755
219
565
–
1037
1036
1635
1098
1100
596
471
1131
1887
849
1574
2266
535
1572
723
503
345
439
–
281
3913
840
982
Mean[ ]
Site 5
Mean[ ]
St. dev.
767
1338
1503
816
1088
1181
1854
4175
616
861
1598
943
1372
1658
912
938
5631
5102
433
855
2503
364
447
1209
771
460
846
625
469
8166
530
601
726
813
955
527
435
454
11193
10145
213
809
3962
217
1305 1614
1296
1415
346
1227
94
1006
1635
910
125
943
440
816
565
785
124
943 18774
188
126
1352
93
2295
378
628
343
28092
157
1353
–
1228
975
849
377
1321
189
535
943
754
534
597
502
314
503
408
189
1030
Table 4. Mean absorption percentage of outdoor concentrations in each 22 ventilation systems and for the ventilated
rooms, for colonies on Sabouraud media, colonies on Malt
media, and spores.
Mean absortion %
Systems Sabouraud Malt
A1
A2
A3
A4
A5
A9
B1
B2
B3
B4
B7
B9
B10
C1
C2
C3
C4
C5
C6
C7
C8
77.32
79.38
56.99
88.17
4.79
62.50
24.72
9.20
−66.13
47.73
50.00
46.30
# Value!
68.42
82.15
100.00
98.07
−2.27
90.91
90.95
−5.00
colonies concentrations (more than 15,000 identifications were done) from a single building. Contamination, defined as “abnormalities” in concentrations
and not necessarily as health hazards, were easily
detected. Cleaning of only 4% of the ventilation
systems components has allowed the restoration of a
normal state in a very short period of time.
Aerobiological models are, therefore, a very useful
tool in locating contamination and in testing the efficiency of cleaning, but it does requires thoroughly
planned samplings. However, it must be stated clearly
that application of this or similar models will not
replace the aerobiological expertise of the investigator.
It is a tool, not a panacea.
Acknowledgements
The authors would like to recognize the helpful work
of Stéphane Boucher, Lize Fafard, Chantal Paulin and
Claire Vachier.
Note
1. This model was applied, even if it refers to equal resistance on
each side, which is not necessary true in our case.
References
Spores
System
mean
Room
85.53
66.63
76.49
90.60
−25.00
96.86
50.41 # Value!
58.96
41.59
52.51
50.60
67.16
90.75
82.03
85.00
100.00
80.30
61.69
88.98
40.00
53.95
52.15
73.74
42.11
85.89
50.91
83.79
−29.63 −11859.96 −3959.47 −321.85
0.96
86.18
7.01
69.54
−23.53
73.04
32.41
87.19
80.00
76.43
68.81
92.64
58.64
85.47
63.47
76.93
# Value!
# Value! # Value! # Value!
82.39
93.12
81.31
32.08
96.56
96.78
91.83
43.59
100.00
99.26
99.75
96.92
98.29
95.94
97.44
58.72
−46.51
−143.84
−64.21 −24.82
80.00
78.15
83.02
61.68
80.00
78.15
83.02
61.68
47.50
73.82
38.77
56.99
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