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1 | ||||||||
2 | Estimation of COVID-19 aerosol transmission: Case for Soccer Match (ONLY through air beyond close proximity, so will underestimate a lot) | |||||||
3 | ||||||||
4 | This is a general spreadsheet applicable to any situation, under the assumptions of this model - See notes specific to this case (if applicable) at the very bottom | |||||||
5 | Important inputs as highlighted in orange - change these for your situation | |||||||
6 | Other, more specialized inputs are highlighted in yellow - change only for more advanced applications | |||||||
7 | Calculations are not highlighted - don't change these unless you are sure you know what you are doing | |||||||
8 | Results are in blue -- these are the numbers of interest for most people | |||||||
9 | ||||||||
10 | Environmental Parameters | |||||||
11 | ||||||||
12 | Value | Value in other units | Source / Comments | |||||
13 | Length of room | 600 | ft | 8.0 | m | Can enter as ft or as m (once entered as m, changing in ft does not work) | ||
14 | Width of room | 300 | ft | = | 8.0 | m | Can enter as ft or as m (once entered as m, changing in ft does not work) | |
15 | 180000 | sq ft | 64 | m2 | Can overwrite the m2 one. If you want to enter sq ft, enter "=B15*0.305^2" in the m2 cell, where B15 is the cell w/ sq ft | |||
16 | Height | 50 | ft | = | 2.4 | m | Can enter as ft or as m (once entered as m, changing in ft does not work) | |
17 | Volume | 150 | m3 | Volume, calculated. (Can also enter directly, then changing dimensions does not work) | ||||
18 | ||||||||
19 | Pressure | 0.95 | atm | Used only for CO2 calculation | ||||
20 | Temperature | 20 | C | Use web converter if needed for F --> C. Used for CO2 calculation, eventually for survival rate of virus | ||||
21 | Relative Humidity | 50 | % | Not yet used, but may eventually be used for survival rate of virus | ||||
22 | Background CO2 Outdoors | 415 | ppm | See readme | ||||
23 | ||||||||
24 | Duration of event | 420 | min | 7.0 | h | Value for your situation of interest | ||
25 | ||||||||
26 | Number of repetitions of event | 1 | times | For e.g. multiple class meetings, multiple commutes in public transportation etc. | ||||
27 | ||||||||
28 | Ventilation w/ outside air | 3.86 | h-1 | Value in h-1: Readme: Same as "air changes per hour". Value in L/s/per to compare to guidelines (e.g. ASHRAE 62.1) | ||||
29 | Decay rate of the virus | 0.62 | h-1 | See Readme, can estimate for a given T, RH, UV from DHS estimator | ||||
30 | Deposition to surfaces | 0.3 | h-1 | Buonnano et al. (2020), Miller et al. (2020). Could vary 0.24-1.5 h-1, depending on particle size range | ||||
31 | Additional control measures | 4.5 | h-1 | E.g. filtering of recirc. air, HEPA air cleaner, UV disinfection, etc. See FAQs, Readme for calc for portable HEPA filter | ||||
32 | Total first order loss rate | 9.28 | h-1 | Sum of all the first-order rates | ||||
33 | ||||||||
34 | Ventilation rate per person | 10.9 | L/s/person | This is the value of ventilation that really matters for disease transmission. Includes additional control measures | ||||
35 | ||||||||
36 | Parameters related to people and activity in the room | |||||||
37 | ||||||||
38 | Total N people present | 32 | Value for your situation of interest | |||||
39 | Infective people | 1 | person | Keep this at one unless you really want to study a different cases - see conditional and absolute results | ||||
40 | Fraction of population inmune | 0% | From vaccination or disease (seroprevalence reports), will depend on each location and time, see Readme | |||||
41 | Susceptible people | 31 | people | Value for your situation of interest | ||||
42 | ||||||||
43 | Density (area / person) in room | 21 | sq ft / person | |||||
44 | Density (people / area) in room | 0.50 | persons / m2 | |||||
45 | Density (volume / person) in room | 4.7 | m3 / person | |||||
46 | ||||||||
47 | Breathing rate (susceptibles) | 0.72 | m3 / h | See Readme sheet - varies a lot with activity level | ||||
48 | Relative breathing rate factor | 2.50 | Ratio between the actual and base breathing rates | |||||
49 | CO2 emission rate (1 person) | 0.0061 | L/s (@ 273 K and 1 atm) | From tables in Readme page. This does not affect infection calculation, only use of CO2 as indicator, could ignore | ||||
50 | CO2 emission rate (all persons) | 0.2205 | L/s (@ at actual P & T of room) | Previous, multiplied by number of people, and applying ideal gas law to convert to ambient P & T | ||||
51 | ||||||||
52 | Basic quanta exhalation rate | 18.6 | infectious doses (quanta) h-1 | See Readme sheet | ||||
53 | Q. enhancement due to variants | 2.5 | Dimensionless | 1 for the original variant, 2 for Delta, 2.5 for Omicron. See Readme file. | ||||
54 | Q enhancement due to vocal. & act. | 1.0 | Dimensionless (ratio to breathing) | Relative increase in emission rate due to vocalization and physical activity (compared to breathing) | ||||
55 | Quanta exhalation rate (infected) | 46.5 | infectious doses (quanta) h-1 | This is a result. Change the previous row if you want to experiment with the quanta emission rate | ||||
56 | ||||||||
57 | Exhalation mask efficiency | 0% | No masks as I understand is the case in the UK | 0 if infective person is not wearing a mask. See Readme sheet | ||||
58 | Fraction of people w/ masks | 0% | Value for your situation. It is applied to everybody for both emission & inhalation. Modify formulas manually if needed | |||||
59 | Inhalation mask efficiency | 0% | See Readme sheet | |||||
60 | ||||||||
61 | Parameters related to the COVID-19 disease | |||||||
62 | ||||||||
63 | Probability of being infective | 0.100% | Very important parameter, specific for each region and time period. For ABSOLUTE results (prob. given prevalence of disease in the population). See Readme sheet | |||||
64 | ||||||||
65 | Hospitalization rate | 10% | From news reports. Varies strongly with age and risk factors | |||||
66 | Death rate | 1% | From news reports. Varies strongly with age and risk factors (1% typical - Higher for older / at risk people) | |||||
67 | ||||||||
68 | CONDITIONAL result for ONE EVENT: we assume the number of infected people above, and get the results under that assumption | |||||||
69 | More appropriate to simulate known outbreaks (e.g. choir, restaurant etc.), and an worst-case scenario for regular events (if one is unlucky enough to have infective people in attendance of a given event) | |||||||
70 | ||||||||
71 | Net emission rate | 46.5 | infectious doses (quanta) h-1 | Includes the number of infective people present | ||||
72 | Avg Quanta Concentration | 0.03 | infectious doses (quanta) m-3 | Analytical solution of the box model. Equation (4) in Miller et al. (2020) | ||||
73 | Quanta inhaled per person | 0.17 | infectious doses (quanta) | |||||
74 | ||||||||
75 | Conditional Results for A GIVEN PERSON & ONE EVENT (assuming number of infected above, typically 1) | |||||||
76 | Probability of infection (1 person) | 15.239% | Applying Wells-Riley infection model to the amount of infectious doses inhaled. Equation (1) in Miller et al. (2020) | |||||
77 | Prob. of hospitalization (1 person) | 1.5% | ||||||
78 | Prob. of death (1 person) | 0.2% | ||||||
79 | Ratio to risk of car travel death | 2540 | times larger risk | See FAQs for rough estimate of death traveling by car on a given day | ||||
80 | ||||||||
81 | Conditional Results for ALL ATTENDEES & ONE EVENT (assuming number of infected above, typically 1) | |||||||
82 | Number of COVID cases arising | 4.72 | Number of people. Multiplies probability of one person, times the number of susceptible people present | |||||
83 | N of hospitalizations arising | 0.47 | Number of people | |||||
84 | N of deaths arising | 0.05 | Number of people | |||||
85 | ||||||||
86 | Airborne Infection Risk Parameters (From Peng et al., 2022) | |||||||
87 | Infection Risk Parameter (H) | 0.38 | h2 person / m3 | Indicator of risk in terms of OUTBREAK SIZE. Low risk: H<0.05; Med: H<0.5; High: H>0.5; From Peng et al. (2022) | ||||
88 | Relative Inf. risk Parameter (Hr) | 0.012 | h2 / m3 | Indicator of risk in terms of ATTACK RATE. Low risk: Hr< 0.001; Med< 0.01; High>0.01 From Peng et al. (2022) | ||||
89 | ||||||||
90 | Results for CO2 as an indicator of risk (not needed for infection estimation, can ignore for simplicity) | |||||||
91 | Avg CO2 mixing ratio | 1717 | ppm (including 400 ppm background) | Analytical solution of the box model. Equation (4) in Miller et al. (2020). See FAQ page for differences w/ quanta calc | ||||
92 | Avg CO2 concentration | 2.29 | g m-3 (excluding 400 ppm background) | Conversion from Atmos. Chem. Cheat Sheet, plus ideal gas law | ||||
93 | Exhaled CO2 re-inhaled per person | 11.53 | grams (excluding 400 ppm background) | This parameter is the most analogous to risk. See FAQ page for limitations | ||||
94 | Exhaled CO2 re-inhaled per person | 9217.91 | ppm * h (maybe easier units, excludes 400 ppm background) | This parameter is the most analogous to risk. See FAQ page for limitations | ||||
95 | Exhaled CO2 re-inhaled per person | 0.9218 | %CO2 * h (same as above, different unit, for use next) | |||||
96 | Ratio of prob of infection to Ex_CO2 | 0.1653 | % chance of infection for 1 person per %CO2 * h inhaled | |||||
97 | CO2 to inhale 1 hr for 1% infect. | 1013 | ppm | This is another metric of risk | ||||
98 | ||||||||
99 | ABSOLUTE result for ONE EVENT: we use the prevalence of the disease in the community to estimate how many infected people may be present in our event, and calculate results based on that | |||||||
100 | More appropriate for general risk estimation, e.g. in a college classroom, indoor gathering etc., where often infective people will not be present |