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Lockdown
Optimization
How do we optimize
isolation
Agenda
- Description of the problem
- Two pronged approach
- Where to lockdown?
- How long to lockdown
- How long to lockdown?
- Data
- Methodology
- Assumptions
- Models and Findings
- Where to lockdown?
- Data
- Methodology
- Assumptions
- Models and Findings
2
What is the problem?
Two ways to solve a virus
- Vaccine
- Herd Immunity
Vaccine
- At least two years until most of the population is vaccinated
Herd Immunity
- Virus dies down once 60% of the population has been exposed to the virus
3
Epidemiology basics
SEIR
Model
s = S/N,
i = I/N,
r = R/N
ds/dt = −βsi
di/dt = βsi − νi
dr/dt = νi
where, β effective contact rate ν removal rate
(R0) = β/ν
4
How Long to Lockdown?
There is a human cost to the lockdown
“Based on social security data for the United States, Sullivan and von Wachter (2009)
estimate that increased mortality rate due to unemployment can persist up to 20
years after the job loss and lead to an average loss of life expectancy from 1 to 1.5
years.” (IMF, 2010)
So we can measure the extrinsic costs of locking down based on the economy
slowing down.
5
How Long to Lockdown?
If countries have to keep switching between Lockdown and Opening up, what is
the optimum balance to minimize loss of life?
A fixed cyclical pattern might be the new normal and easier to manage societal
fear and anxiety.
Used RO and R1 values from other modelers
Built 2 year model projects for the US
6
How Long - Example: 2 weeks open 3 weeks lockdown
7
● Over the course of 2 years,
under this scenario approx
8.4 m people will die
● Accumulated death does not
rise linearly. Between day
200-350 is the sharpest
increase
● Highest daily new dead
value is 83.000
How Long - Example: 2 weeks open 3 weeks lockdown
8
● In the US there will be a
total of approx 138 million
Covid-19 infections
● Total infections does not
rise linearly. Between day
150-350 is the sharpest
increase
● Highest infected at one
point in time is 19.5 million
How Long - Example: 2 weeks open 3 weeks lockdown
9
● Whilst approx 8 m people
will die of Covid-19, only
800.000 will die from
unemployment
● Accumulated death does not
rise linearly. Between day
200-350 is the sharpest
increase
● A high proportion of human
lives by job is occurs early
Strategy comparison: Total death count over time
10
● The 2 weeks open 3
weeks lockdown
strategy has the highest
total death toll.
● 2 weeks open 6 weeks
closed strategy has the
lowest number of dead
● The 2 weeks 6 weeks
closed strategy is the
ideal solution if the goal
is to minimize death and
is therefore the safest.
Strategy comparison: New daily dead
11
● All 3 strategies
yield high death
figures at the
beginning of the
implementation of
the strategy.
● For the 2 week
open 3 weeks
closed strategy one
can see a spike in
fatal Covid-19
cases after every 2
week open period
Where to Lockdown?
Communities throughout the world have relied upon NPIs such as physical
distancing to slow the spread of the COVID-19 virus.
But were rates of mobility decreasing and rates of distancing increasing?
Where have physical distancing measures ranging from school and restaurant
closures to stay-at-home orders in countries affected the rate of infection?
12
US-City Analysis
13
Data
14
Mobility Data
Geographical Granularity: County, State
Key Variables:
○ Retail and Recreation
○ Parks and Recreations
○ Groceries and Pharmacies
○ Workplaces/Office
○ Public Transit
○ Residential Areas
Cases Data
Geographical Granularity: County, State
Key Variables:
○ Confirmed cases
○ Cases per day
R-Values Data
Geographical Granularity: County
Key Variable:
○ R-Value
Data Pre-Processing
15
Melt the dates
into column
„Date“
Cases Data Mobility Data R Values
Source: John Hopkins
University
Source: Google &
Apple
Source: covid19-
projections.com
Calculate new
cases per day
Filter US
Create time
series
Filter US
Create lagged
dates (+12 d)
Create time
series
Join by
State/County/
Date
Aggregate
using weighted
average
Join by
State/Date
New York City, NY
16
Megacities were
obedient of the
lockdown rules
More policing and
enforcement
resources
Highly urban cities
have less accessible
parks
Seattle, WA
17
Some major cities
still had accessible
mobility to parks and
places of recreation
The mobily trend of
parks is reflected in
the trend of New
Cases
Union County, NJ
18
More difficult to
police and enforce
rules in rural areas
The lockdown
effective April 20 has
a positive effect upon
the New Cases
Salt Lake City, UT
19
Some cities never
experienced a decline
in recreational
mobility
A consistent average
New Cases amount is
a consequence
Regression Analysis
20
Regression analysis
Independent variable:
● Post-mitigation R0
Dependent variables:
● Pre-mitigation R0,
● Residential percent change,
● Parks percent change,
● Grocery and pharmacy percent change.
21
Regression analysis
22
Significant variables: Pre-mitigation
R0 & Residential percent change.

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Lockdown optimization for Corona Virus

  • 1. Lockdown Optimization How do we optimize isolation
  • 2. Agenda - Description of the problem - Two pronged approach - Where to lockdown? - How long to lockdown - How long to lockdown? - Data - Methodology - Assumptions - Models and Findings - Where to lockdown? - Data - Methodology - Assumptions - Models and Findings 2
  • 3. What is the problem? Two ways to solve a virus - Vaccine - Herd Immunity Vaccine - At least two years until most of the population is vaccinated Herd Immunity - Virus dies down once 60% of the population has been exposed to the virus 3
  • 4. Epidemiology basics SEIR Model s = S/N, i = I/N, r = R/N ds/dt = −βsi di/dt = βsi − νi dr/dt = νi where, β effective contact rate ν removal rate (R0) = β/ν 4
  • 5. How Long to Lockdown? There is a human cost to the lockdown “Based on social security data for the United States, Sullivan and von Wachter (2009) estimate that increased mortality rate due to unemployment can persist up to 20 years after the job loss and lead to an average loss of life expectancy from 1 to 1.5 years.” (IMF, 2010) So we can measure the extrinsic costs of locking down based on the economy slowing down. 5
  • 6. How Long to Lockdown? If countries have to keep switching between Lockdown and Opening up, what is the optimum balance to minimize loss of life? A fixed cyclical pattern might be the new normal and easier to manage societal fear and anxiety. Used RO and R1 values from other modelers Built 2 year model projects for the US 6
  • 7. How Long - Example: 2 weeks open 3 weeks lockdown 7 ● Over the course of 2 years, under this scenario approx 8.4 m people will die ● Accumulated death does not rise linearly. Between day 200-350 is the sharpest increase ● Highest daily new dead value is 83.000
  • 8. How Long - Example: 2 weeks open 3 weeks lockdown 8 ● In the US there will be a total of approx 138 million Covid-19 infections ● Total infections does not rise linearly. Between day 150-350 is the sharpest increase ● Highest infected at one point in time is 19.5 million
  • 9. How Long - Example: 2 weeks open 3 weeks lockdown 9 ● Whilst approx 8 m people will die of Covid-19, only 800.000 will die from unemployment ● Accumulated death does not rise linearly. Between day 200-350 is the sharpest increase ● A high proportion of human lives by job is occurs early
  • 10. Strategy comparison: Total death count over time 10 ● The 2 weeks open 3 weeks lockdown strategy has the highest total death toll. ● 2 weeks open 6 weeks closed strategy has the lowest number of dead ● The 2 weeks 6 weeks closed strategy is the ideal solution if the goal is to minimize death and is therefore the safest.
  • 11. Strategy comparison: New daily dead 11 ● All 3 strategies yield high death figures at the beginning of the implementation of the strategy. ● For the 2 week open 3 weeks closed strategy one can see a spike in fatal Covid-19 cases after every 2 week open period
  • 12. Where to Lockdown? Communities throughout the world have relied upon NPIs such as physical distancing to slow the spread of the COVID-19 virus. But were rates of mobility decreasing and rates of distancing increasing? Where have physical distancing measures ranging from school and restaurant closures to stay-at-home orders in countries affected the rate of infection? 12
  • 14. Data 14 Mobility Data Geographical Granularity: County, State Key Variables: ○ Retail and Recreation ○ Parks and Recreations ○ Groceries and Pharmacies ○ Workplaces/Office ○ Public Transit ○ Residential Areas Cases Data Geographical Granularity: County, State Key Variables: ○ Confirmed cases ○ Cases per day R-Values Data Geographical Granularity: County Key Variable: ○ R-Value
  • 15. Data Pre-Processing 15 Melt the dates into column „Date“ Cases Data Mobility Data R Values Source: John Hopkins University Source: Google & Apple Source: covid19- projections.com Calculate new cases per day Filter US Create time series Filter US Create lagged dates (+12 d) Create time series Join by State/County/ Date Aggregate using weighted average Join by State/Date
  • 16. New York City, NY 16 Megacities were obedient of the lockdown rules More policing and enforcement resources Highly urban cities have less accessible parks
  • 17. Seattle, WA 17 Some major cities still had accessible mobility to parks and places of recreation The mobily trend of parks is reflected in the trend of New Cases
  • 18. Union County, NJ 18 More difficult to police and enforce rules in rural areas The lockdown effective April 20 has a positive effect upon the New Cases
  • 19. Salt Lake City, UT 19 Some cities never experienced a decline in recreational mobility A consistent average New Cases amount is a consequence
  • 21. Regression analysis Independent variable: ● Post-mitigation R0 Dependent variables: ● Pre-mitigation R0, ● Residential percent change, ● Parks percent change, ● Grocery and pharmacy percent change. 21
  • 22. Regression analysis 22 Significant variables: Pre-mitigation R0 & Residential percent change.

Editor's Notes

  1. Used R0 values from CDC’s modeler https://github.com/Shivanandrai/covid19_projections/tree/master/projections/2020-05-18
  2. communities throughout the world have relied upon NPIs such as physical distancing to slow the spread of the COVID-19 virus and reduce the impact of acute cases on medical systems. By reducing their rates of mobility and avoiding large gatherings, people are reducing the likelihood that the virus is transmitted from person to person, and that large numbers of acute cases that require intensive care overburden hospitals. When policymakers at all levels began instituting physical distancing measures ranging from school and restaurant closures to stay-at-home orders, one of the most important pieces of information they needed was evidence that rates of mobility were in fact decreasing and that rates of distancing were increasing