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Estimation of COVID-19 aerosol transmission: Case for Soccer Match (ONLY through air beyond close proximity, so will underestimate a lot)
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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
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Important inputs as highlighted in orange - change these for your situation
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Other, more specialized inputs are highlighted in yellow - change only for more advanced applications
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Calculations are not highlighted - don't change these unless you are sure you know what you are doing
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Results are in blue -- these are the numbers of interest for most people
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Environmental Parameters
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Value
Value in other units
Source / Comments
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Length of room600ft8.0m Can enter as ft or as m (once entered as m, changing in ft does not work)
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Width of room300ft=8.0m Can enter as ft or as m (once entered as m, changing in ft does not work)
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180000sq ft64m2
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
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Height50ft=2.4m Can enter as ft or as m (once entered as m, changing in ft does not work)
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Volume150m3Volume, calculated. (Can also enter directly, then changing dimensions does not work)
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Pressure0.95atmUsed only for CO2 calculation
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Temperature 20C
Use web converter if needed for F --> C. Used for CO2 calculation, eventually for survival rate of virus
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Relative Humidity50%Not yet used, but may eventually be used for survival rate of virus
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Background CO2 Outdoors415ppmSee readme
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Duration of event420min7.0hValue for your situation of interest
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Number of repetitions of event1timesFor e.g. multiple class meetings, multiple commutes in public transportation etc.
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Ventilation w/ outside air3.86h-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)
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Decay rate of the virus0.62h-1See Readme, can estimate for a given T, RH, UV from DHS estimator
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Deposition to surfaces0.3h-1Buonnano et al. (2020), Miller et al. (2020). Could vary 0.24-1.5 h-1, depending on particle size range
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Additional control measures4.5h-1
E.g. filtering of recirc. air, HEPA air cleaner, UV disinfection, etc. See FAQs, Readme for calc for portable HEPA filter
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Total first order loss rate9.28h-1Sum of all the first-order rates
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Ventilation rate per person10.9L/s/person
This is the value of ventilation that really matters for disease transmission. Includes additional control measures
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Parameters related to people and activity in the room
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Total N people present32Value for your situation of interest
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Infective people1person
Keep this at one unless you really want to study a different cases - see conditional and absolute results
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Fraction of population inmune0%
From vaccination or disease (seroprevalence reports), will depend on each location and time, see Readme
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Susceptible people31peopleValue for your situation of interest
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Density (area / person) in room21
sq ft / person
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Density (people / area) in room0.50
persons / m2
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Density (volume / person) in room4.7
m3 / person
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Breathing rate (susceptibles)0.72m3 / hSee Readme sheet - varies a lot with activity level
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Relative breathing rate factor2.50Ratio between the actual and base breathing rates
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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
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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
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Basic quanta exhalation rate18.6
infectious doses (quanta) h-1
See Readme sheet
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Q. enhancement due to variants2.5
Dimensionless
1 for the original variant, 2 for Delta, 2.5 for Omicron. See Readme file.
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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)
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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
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Exhalation mask efficiency0%
No masks as I understand is the case in the UK
0 if infective person is not wearing a mask. See Readme sheet
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Fraction of people w/ masks0%
Value for your situation. It is applied to everybody for both emission & inhalation. Modify formulas manually if needed
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Inhalation mask efficiency0%See Readme sheet
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Parameters related to the COVID-19 disease
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Probability of being infective0.100%Very important parameter, specific for each region and time period. For ABSOLUTE results (prob. given prevalence of disease in the population). See Readme sheet
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Hospitalization rate10%From news reports. Varies strongly with age and risk factors
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Death rate1%
From news reports. Varies strongly with age and risk factors (1% typical - Higher for older / at risk people)
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CONDITIONAL result for ONE EVENT: we assume the number of infected people above, and get the results under that assumption
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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)
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Net emission rate 46.5
infectious doses (quanta) h-1
Includes the number of infective people present
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Avg Quanta Concentration0.03
infectious doses (quanta) m-3
Analytical solution of the box model. Equation (4) in Miller et al. (2020)
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Quanta inhaled per person0.17
infectious doses (quanta)
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Conditional Results for A GIVEN PERSON & ONE EVENT (assuming number of infected above, typically 1)
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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)
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Prob. of hospitalization (1 person)1.5%
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Prob. of death (1 person)0.2%
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Ratio to risk of car travel death2540
times larger risk
See FAQs for rough estimate of death traveling by car on a given day
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Conditional Results for ALL ATTENDEES & ONE EVENT (assuming number of infected above, typically 1)
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Number of COVID cases arising4.72
Number of people. Multiplies probability of one person, times the number of susceptible people present
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N of hospitalizations arising0.47Number of people
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N of deaths arising0.05Number of people
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Airborne Infection Risk Parameters (From Peng et al., 2022)
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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)
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Relative Inf. risk Parameter (Hr)0.012h2 / 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)
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Results for CO2 as an indicator of risk (not needed for infection estimation, can ignore for simplicity)
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Avg CO2 mixing ratio1717
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
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Avg CO2 concentration 2.29
g m-3 (excluding 400 ppm background)
Conversion from Atmos. Chem. Cheat Sheet, plus ideal gas law
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Exhaled CO2 re-inhaled per person11.53
grams (excluding 400 ppm background)
This parameter is the most analogous to risk. See FAQ page for limitations
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Exhaled CO2 re-inhaled per person9217.91
ppm * h (maybe easier units, excludes 400 ppm background)
This parameter is the most analogous to risk. See FAQ page for limitations
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Exhaled CO2 re-inhaled per person0.9218
%CO2 * h (same as above, different unit, for use next)
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Ratio of prob of infection to Ex_CO20.1653
% chance of infection for 1 person per %CO2 * h inhaled
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CO2 to inhale 1 hr for 1% infect.1013ppmThis is another metric of risk
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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
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More appropriate for general risk estimation, e.g. in a college classroom, indoor gathering etc., where often infective people will not be present